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+<!DOCTYPE html>
+<html clang="en" dir="ltr">
+<head>
+<meta charset="UTF-8">
+<title>List of mathematical symbols by subject - Wikipedia</title>
+</head>
+<body class="skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-List_of_mathematical_symbols_by_subject rootpage-List_of_mathematical_symbols_by_subject skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Jump to content</a>
+<div class="vector-header-container">
+	<header class="vector-header mw-header">
+		<div class="vector-header-start">
+			<nav class="vector-main-menu-landmark" aria-label="Site" role="navigation">
+				
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {A} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">A</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {A} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3fb423c16a5f403edbaf66438b75e7a36e725af6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {A} }"></span>
+</td>
+<td style="text-align: center;">𝔸
+</td>
+<td><a href="/wiki/Algebraic_number" title="Algebraic number">Algebraic number</a>
+</td>
+<td><code>\mathbb{A}</code>
+</td>
+<td><code>&amp;Aopf;</code>
+</td>
+<td><code>U+1D538</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {C} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">C</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {C} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9add4085095b9b6d28d045fd9c92c2c09f549a7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {C} }"></span>
+</td>
+<td style="text-align: center;">ℂ
+</td>
+<td><a href="/wiki/Complex_number" title="Complex number">Complex number</a>
+</td>
+<td><code>\mathbb{C}</code>, <code>\Complex</code>
+</td>
+<td><code>&amp;Copf;</code>
+</td>
+<td><code>U+2102</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {H} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">H</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {H} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e050965453c42bcc6bd544546703c836bdafeac9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \mathbb {H} }"></span>
+</td>
+<td style="text-align: center;">ℍ
+</td>
+<td><a href="/wiki/Quaternion" title="Quaternion">Quaternion</a>
+</td>
+<td><code>\mathbb{H}</code>
+</td>
+<td><code>&amp;quaternions;</code>
+</td>
+<td><code>U+210D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {N} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">N</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {N} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fdf9a96b565ea202d0f4322e9195613fb26a9bed" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {N} }"></span>
+</td>
+<td style="text-align: center;">ℕ
+</td>
+<td><a href="/wiki/Natural_number" title="Natural number">Natural number</a>
+</td>
+<td><code>\mathbb{N}</code>, <code>\N</code>
+</td>
+<td><code>&amp;Nopf;</code>
+</td>
+<td><code>U+2115</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {O} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">O</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {O} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c1ed2664a4fe515e6fbed25a7193ce663b82920c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \mathbb {O} }"></span>
+</td>
+<td style="text-align: center;">𝕆
+</td>
+<td><a href="/wiki/Octonion" title="Octonion">Octonion</a>
+</td>
+<td><code>\mathbb{O}</code>
+</td>
+<td><code>&amp;Oopf;</code>
+</td>
+<td><code>U+1D546</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {Q} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">Q</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {Q} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \mathbb {Q} }"></span>
+</td>
+<td style="text-align: center;">ℚ
+</td>
+<td><a href="/wiki/Rational_number" title="Rational number">Rational number</a>
+</td>
+<td><code>\mathbb{Q}</code>, <code>\Q</code>
+</td>
+<td><code>&amp;Qopf;</code>
+</td>
+<td><code>U+211A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {R} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">R</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {R} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {R} }"></span>
+</td>
+<td style="text-align: center;">ℝ
+</td>
+<td><a href="/wiki/Real_number" title="Real number">Real number</a>
+</td>
+<td><code>\mathbb{R}</code>, <code>\R</code>, <code>\Reals</code>
+</td>
+<td><code>&amp;Ropf;</code>
+</td>
+<td><code>U+211D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {S} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">S</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {S} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f9d5874c5d7f68eba1cec9da9ccbe53903303bb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.293ex; height:2.176ex;" alt="{\displaystyle \mathbb {S} }"></span>
+</td>
+<td style="text-align: center;">𝕊
+</td>
+<td><a href="/wiki/Sedenion" title="Sedenion">Sedenion</a>
+</td>
+<td><code>\mathbb{S}</code>
+</td>
+<td><code>&amp;Sopf;</code>
+</td>
+<td><code>U+1D54A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {Z} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">Z</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/449494a083e0a1fda2b61c62b2f09b6bee4633dc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.176ex;" alt="{\displaystyle \mathbb {Z} }"></span>
+</td>
+<td style="text-align: center;">ℤ
+</td>
+<td><a href="/wiki/Integer" title="Integer">Integer</a>
+</td>
+<td><code>\mathbb{Z}</code>, <code>\Z</code>
+</td>
+<td><code>&amp;Zopf;</code>
+</td>
+<td><code>U+2124</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Mathematical_constants">Mathematical constants</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=5" title="Edit section: Mathematical constants"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1033289096"><div role="note" class="hatnote navigation-not-searchable">For symbols of additional mathematical constants, see <a href="/wiki/Mathematical_constant" title="Mathematical constant">Mathematical constant</a>.</div>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Template
+</th>
+<th>Unicode Hex
+</th>
+<th>Note
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \pi }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C0;<!-- π --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \pi }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9be4ba0bb8df3af72e90a0535fabcc17431e540a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.332ex; height:1.676ex;" alt="{\displaystyle \pi }"></span>
+</td>
+<td style="text-align: center;">π
+</td>
+<td><a href="/wiki/Pi" title="Pi">Pi</a>
+</td>
+<td><code>\pi</code>
+</td>
+<td><code>&amp;pi;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Pi" title="Template:Pi">pi</a>}}</code>
+</td>
+<td><code>U+03C0</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle e}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>e</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle e}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd253103f0876afc68ebead27a5aa9867d927467" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.083ex; height:1.676ex;" alt="{\displaystyle e}"></span> or <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathrm {e} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="normal">e</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathrm {e} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3a1f6ea7bf1c1e53e8200cb7e2917ccb23df457b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.032ex; height:1.676ex;" alt="{\displaystyle \mathrm {e} }"></span>
+</td>
+<td style="text-align: center;">e
+</td>
+<td><a href="/wiki/E_(mathematics)" class="mw-redirect" title="E (mathematics)">e (mathematics)</a>
+</td>
+<td><code>e</code> or <code>\mathrm{e}</code>
+</td>
+<td><code>e</code>
+</td>
+<td>
+</td>
+<td><code>U+0065</code>
+</td>
+<td>Recommend <code>{{mvar|e}}</code> or <code>{{math|e}}</code> over <code>e</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \phi }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03D5;<!-- ϕ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \phi }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.385ex; height:2.509ex;" alt="{\displaystyle \phi }"></span>
+</td>
+<td style="text-align: center;">ϕ
+</td>
+<td rowspan="2"><a href="/wiki/Golden_ratio" title="Golden ratio">Golden ratio</a>
+</td>
+<td><code>\phi</code>
+</td>
+<td><code>&amp;phi;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Phi" title="Template:Phi">phi</a>}}</code>
+</td>
+<td><code>U+03C6</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varphi }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C6;<!-- φ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varphi }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33ee699558d09cf9d653f6351f9fda0b2f4aaa3e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.52ex; height:2.176ex;" alt="{\displaystyle \varphi }"></span>
+</td>
+<td style="text-align: center;">φ
+</td>
+<td><code>\varphi</code>
+</td>
+<td><code>&amp;straightphi;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Varphi" title="Template:Varphi">varphi</a>}}</code>
+</td>
+<td><code>U+03D5</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle i}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>i</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle i}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.802ex; height:2.176ex;" alt="{\displaystyle i}"></span> or <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathrm {i} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="normal">i</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathrm {i} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/18f0f09f6fc40e634d34aed6e205ac0f7a40e062" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:2.176ex;" alt="{\displaystyle \mathrm {i} }"></span>
+</td>
+<td style="text-align: center;">i
+</td>
+<td><a href="/wiki/Imaginary_unit" title="Imaginary unit">Imaginary unit</a>
+</td>
+<td><code>i</code> or <code>\mathrm{i}</code>
+</td>
+<td><code>i</code>
+</td>
+<td>
+</td>
+<td><code>U+0069</code>
+</td>
+<td>Recommend <code>{{mvar|i}}</code> or <code>{{math|i}}</code> over <code>i</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gamma }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B3;<!-- γ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span>
+</td>
+<td style="text-align: center;">γ
+</td>
+<td><a href="/wiki/Euler%E2%80%93Mascheroni_constant" class="mw-redirect" title="Euler–Mascheroni constant">Euler–Mascheroni constant</a>
+</td>
+<td><code>\gamma</code>
+</td>
+<td><code>&amp;gamma;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Gamma" title="Template:Gamma">gamma</a>}}</code>
+</td>
+<td><code>U+03B3</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \epsilon }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03F5;<!-- ϵ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \epsilon }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3837cad72483d97bcdde49c85d3b7b859fb3fd2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.944ex; height:1.676ex;" alt="{\displaystyle \epsilon }"></span>
+</td>
+<td style="text-align: center;">ε
+</td>
+<td><a href="/wiki/Vacuum_permittivity" title="Vacuum permittivity">Vacuum permittivity</a>
+</td>
+<td><code>\epsilon</code>
+</td>
+<td><code>&amp;epsi;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Epsilon" title="Template:Epsilon">epsilon</a>}}</code>
+</td>
+<td><code>U+03B5</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varepsilon }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B5;<!-- ε --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varepsilon }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a30c89172e5b88edbd45d3e2772c7f5e562e5173" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.083ex; height:1.676ex;" alt="{\displaystyle \varepsilon }"></span>
+</td>
+<td style="text-align: center;">ϵ
+</td>
+<td><a href="/wiki/Dual_number" title="Dual number">Dual number</a>
+</td>
+<td><code>\varepsilon</code>
+</td>
+<td><code>&amp;varepsilon;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Varepsilon" title="Template:Varepsilon">varepsilon</a>}}</code>
+</td>
+<td><code>U+03F5</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \theta }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B8;<!-- θ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \theta }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.09ex; height:2.176ex;" alt="{\displaystyle \theta }"></span>
+</td>
+<td style="text-align: center;">θ
+</td>
+<td rowspan="2"><a href="/wiki/Mills%27_constant" title="Mills&#39; constant">Mills' constant</a>
+</td>
+<td><code>\theta</code>
+</td>
+<td><code>&amp;theta;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Theta" title="Template:Theta">theta</a>}}</code>
+</td>
+<td><code>U+03B8</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \vartheta }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03D1;<!-- ϑ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \vartheta }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d00eaf197c35bbfa391b9477490a4af955416837" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.374ex; height:2.176ex;" alt="{\displaystyle \vartheta }"></span>
+</td>
+<td style="text-align: center;">ϑ
+</td>
+<td><code>\vartheta</code>
+</td>
+<td><code>&amp;vartheta;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Vartheta" title="Template:Vartheta">vartheta</a>}}</code>
+</td>
+<td><code>U+03D1</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sigma }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C3;<!-- σ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span>
+</td>
+<td style="text-align: center;">σ
+</td>
+<td rowspan="2"><a href="/wiki/Somos%27_quadratic_recurrence_constant" title="Somos&#39; quadratic recurrence constant">Somos' quadratic recurrence constant</a>
+</td>
+<td><code>\sigma</code>
+</td>
+<td><code>&amp;sigma;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Sigma" title="Template:Sigma">sigma</a>}}</code>
+</td>
+<td><code>U+03C3</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varsigma }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C2;<!-- ς --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varsigma }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d1fab64d12c6ee8fbf378b73072d0cf13c8c4f7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:0.942ex; height:1.843ex;" alt="{\displaystyle \varsigma }"></span>
+</td>
+<td style="text-align: center;">ς
+</td>
+<td><code>\varsigma</code>
+</td>
+<td><code>&amp;varsigma;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Varsigma" title="Template:Varsigma">varsigma</a>}}</code>
+</td>
+<td><code>U+03C2</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \kappa }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03BA;<!-- κ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \kappa }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/54ddec2e922c5caea4e47d04feef86e782dc8e6d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:1.676ex;" alt="{\displaystyle \kappa }"></span>
+</td>
+<td style="text-align: center;">κ
+</td>
+<td><a href="/wiki/Einstein_gravitational_constant" class="mw-redirect" title="Einstein gravitational constant">Einstein gravitational constant</a>
+</td>
+<td><code>\kappa</code>
+</td>
+<td><code>&amp;kappa;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Kappa" title="Template:Kappa">kappa</a>}}</code>
+</td>
+<td><code>U+03BA</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lambda }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03BB;<!-- λ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span>
+</td>
+<td style="text-align: center;">λ
+</td>
+<td><a href="/wiki/Prouhet%E2%80%93Thue%E2%80%93Morse_constant" title="Prouhet–Thue–Morse constant">Prouhet–Thue–Morse constant</a>
+</td>
+<td><code>\lambda</code>
+</td>
+<td><code>&amp;lambda;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Lambda" title="Template:Lambda">lambda</a>}}</code>
+</td>
+<td><code>U+03BB</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mu }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03BC;<!-- μ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mu }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.402ex; height:2.176ex;" alt="{\displaystyle \mu }"></span>
+</td>
+<td style="text-align: center;">μ
+</td>
+<td><a href="/wiki/Ramanujan%E2%80%93Soldner_constant" title="Ramanujan–Soldner constant">Ramanujan–Soldner constant</a>
+</td>
+<td><code>\mu</code>
+</td>
+<td><code>&amp;mu;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Mu" title="Template:Mu">mu</a>}}</code>
+</td>
+<td><code>U+03BC</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \tau }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C4;<!-- τ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \tau }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38a7dcde9730ef0853809fefc18d88771f95206c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.202ex; height:1.676ex;" alt="{\displaystyle \tau }"></span>
+</td>
+<td style="text-align: center;">τ
+</td>
+<td><a href="/wiki/Prouhet%E2%80%93Thue%E2%80%93Morse_constant" title="Prouhet–Thue–Morse constant">Prouhet–Thue–Morse constant</a>
+</td>
+<td><code>\tau</code>
+</td>
+<td><code>&amp;tau;</code>
+</td>
+<td><code>{{<a href="/wiki/Template:Tau" title="Template:Tau">tau</a>}}</code>
+</td>
+<td><code>U+03C4</code>
+</td>
+<td>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Complex_numbers">Complex numbers</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=6" title="Edit section: Complex numbers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Im }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2111;<!-- ℑ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Im }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3e0312a4871a615cbdae168be102907f0a51e95" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.288ex; height:2.176ex;" alt="{\displaystyle \Im }"></span>
+</td>
+<td style="text-align: center;">ℑ
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Im (2+i)=1}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2111;<!-- ℑ --></mi>
+        <mo stretchy="false">(</mo>
+        <mn>2</mn>
+        <mo>+</mo>
+        <mi>i</mi>
+        <mo stretchy="false">)</mo>
+        <mo>=</mo>
+        <mn>1</mn>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Im (2+i)=1}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95e34df8f18568da7a6938863445fc95eca6a0fd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.163ex; height:2.843ex;" alt="{\displaystyle \Im (2+i)=1}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Complex_number" title="Complex number">Complex number</a>
+</td>
+<td><code>\Im</code>
+</td>
+<td><code>&amp;image;</code>
+</td>
+<td><code>U+2111</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {Im} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>Im</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {Im} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/76daac0a3d3f2f46e893b5cfe7a6d2f1529a52fb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.775ex; height:2.176ex;" alt="{\displaystyle \operatorname {Im} }"></span>
+</td>
+<td style="text-align: center;">Im
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {Im} (2+i)=1}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>Im</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mo stretchy="false">(</mo>
+        <mn>2</mn>
+        <mo>+</mo>
+        <mi>i</mi>
+        <mo stretchy="false">)</mo>
+        <mo>=</mo>
+        <mn>1</mn>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {Im} (2+i)=1}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3499c3cc15aa0f4247778329fa73265a5be054c3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.651ex; height:2.843ex;" alt="{\displaystyle \operatorname {Im} (2+i)=1}"></span>
+</td>
+<td><code>\operatorname{Im}</code>
+</td>
+<td><code>Im</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Re }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x211C;<!-- ℜ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Re }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2cc5a2cb7aa22f6d765976edb1daebefaf408142" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.924ex; height:2.176ex;" alt="{\displaystyle \Re }"></span>
+</td>
+<td style="text-align: center;">ℜ
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Re (2+i)=2}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x211C;<!-- ℜ --></mi>
+        <mo stretchy="false">(</mo>
+        <mn>2</mn>
+        <mo>+</mo>
+        <mi>i</mi>
+        <mo stretchy="false">)</mo>
+        <mo>=</mo>
+        <mn>2</mn>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Re (2+i)=2}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc5dba707d0ac945c5d592a274348c308712fd45" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.8ex; height:2.843ex;" alt="{\displaystyle \Re (2+i)=2}"></span>
+</td>
+<td><code>\Re</code>
+</td>
+<td><code>&amp;Rfr;</code>
+</td>
+<td><code>U+211C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {Re} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>Re</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {Re} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95843424d33425ded8dd8eb6bed645d75ebd885c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.743ex; height:2.176ex;" alt="{\displaystyle \operatorname {Re} }"></span>
+</td>
+<td style="text-align: center;">Re
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {Re} (2+i)=2}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>Re</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mo stretchy="false">(</mo>
+        <mn>2</mn>
+        <mo>+</mo>
+        <mi>i</mi>
+        <mo stretchy="false">)</mo>
+        <mo>=</mo>
+        <mn>2</mn>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {Re} (2+i)=2}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e0c1e41f358a84f1553d48064082a8ded9a3b4ef" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.619ex; height:2.843ex;" alt="{\displaystyle \operatorname {Re} (2+i)=2}"></span>
+</td>
+<td><code>\operatorname{Re}</code>
+</td>
+<td><code>Re</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/768bacda8640617e7a9ee2f01f86f21a40ddf4e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\bar {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {z}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>z</mi>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {z}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52dd0599595d539f7d757ec21da6c6e6ac3ad427" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.296ex; height:2.009ex;" alt="{\displaystyle {\bar {z}}}"></span>
+</td>
+<td rowspan="5"><a href="/wiki/Complex_conjugate" title="Complex conjugate">Complex conjugate</a>
+</td>
+<td><code>\bar</code>
+</td>
+<td><code>&amp;#x304;</code>
+</td>
+<td rowspan="2"><code>U+0304</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {\bar {~}}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mover>
+                  <mtext>&#xA0;</mtext>
+                  <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+                </mover>
+              </mrow>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {\bar {~}}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f1502238e1671750066844803cd34593ee5a2b2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.343ex;" alt="{\displaystyle {\bar {\bar {~}}}}"></span>
+</td>
+<td style="text-align: center;">◌̄&#x304;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {\bar {z}}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mover>
+                  <mi>z</mi>
+                  <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+                </mover>
+              </mrow>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {\bar {z}}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9efe4f45ac1b236dfea3d8cb0d56063325d6396f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.296ex; height:2.343ex;" alt="{\displaystyle {\bar {\bar {z}}}}"></span>
+</td>
+<td><code>\bar{\bar{}}</code>
+</td>
+<td><code>&amp;#x304;&amp;#x304;</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a91edff755a91d1bbd8d9e6ec5da35190ad0ca2c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.276ex; height:1.676ex;" alt="{\displaystyle {\overline {~~}}}"></span>
+</td>
+<td style="text-align: center;">◌̅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {z}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mi>z</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {z}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/64281d029a1d4bef9545644f01821c713f876f76" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.208ex; height:2.343ex;" alt="{\displaystyle {\overline {z}}}"></span>
+</td>
+<td><code>\overline</code>
+</td>
+<td><code>&amp;#x305;</code>
+</td>
+<td rowspan="2"><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {\overline {~~}}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mover>
+              <mrow>
+                <mtext>&#xA0;</mtext>
+                <mtext>&#xA0;</mtext>
+              </mrow>
+              <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {\overline {~~}}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3fa4319a75c7d8e1088708200b580912ec6cf98" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.391ex; height:2.509ex;" alt="{\displaystyle {\overline {\overline {~~}}}}"></span>
+</td>
+<td style="text-align: center;">◌̅&#x305;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {\overline {z}}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mover>
+              <mi>z</mi>
+              <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {\overline {z}}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abe95bce2ccbff7060136b5b7c7e6c0ecc81c618" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.323ex; height:3.176ex;" alt="{\displaystyle {\overline {\overline {z}}}}"></span>
+</td>
+<td><code>\overline{\overline{}}</code>
+</td>
+<td><code>&amp;#x305;&amp;#x305;</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/083d1bbfe34ad3c8f02487c7a392d2e55b0ee75a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle {}^{\ast }}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/*" class="extiw" title="wiktionary:*">*</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle z^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>z</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle z^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c52c181256cf8f907cb37c823b1b5fc1996b364" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.145ex; height:2.343ex;" alt="{\displaystyle z^{\ast }}"></span>
+</td>
+<td><code>{}^\ast</code>
+</td>
+<td><code>&amp;ast;</code>
+</td>
+<td><code>U+002A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |~~|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |~~|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29900ebd10692214f66b27b664618fe5b23c369d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle |~~|}"></span>
+</td>
+<td style="text-align: center;">|
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |z|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mi>z</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |z|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28fd4d7dcabf618d707c21bd08306c7b3aa8b68e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.382ex; height:2.843ex;" alt="{\displaystyle |z|}"></span>
+</td>
+<td><a href="/wiki/Absolute_value" title="Absolute value">Absolute value</a>
+</td>
+<td><code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arg {}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arg</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mrow class="MJX-TeXAtom-ORD">
+
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arg {}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4622c33c841bfbab8d6fb1b2c84a5f2146384aa5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.624ex; height:2.009ex;" alt="{\displaystyle \arg {}}"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arg(z)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arg</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mo stretchy="false">(</mo>
+        <mi>z</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arg(z)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d8bb9d3cf9c1a82f1666e4e72b6702b0cee4b21" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.134ex; height:2.843ex;" alt="{\displaystyle \arg(z)}"></span>
+</td>
+<td><a href="/wiki/Polar_coordinate_system" title="Polar coordinate system">Polar coordinate system</a>
+</td>
+<td><code>\arg</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr></tbody></table>
+<dl><dd><i>Remark:</i> real and imaginary parts of a complex number are often also denoted by <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {Re} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>Re</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {Re} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95843424d33425ded8dd8eb6bed645d75ebd885c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.743ex; height:2.176ex;" alt="{\displaystyle \operatorname {Re} }"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {Im} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>Im</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {Im} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/76daac0a3d3f2f46e893b5cfe7a6d2f1529a52fb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.775ex; height:2.176ex;" alt="{\displaystyle \operatorname {Im} }"></span>.</dd></dl>
+<h3><span class="mw-headline" id="Elementary_arithmetic_operations">Elementary arithmetic operations</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=7" title="Edit section: Elementary arithmetic operations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th>
+<th>Notes
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle +}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>+</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle +}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle +}"></span>
+</td>
+<td style="text-align: center;">+
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a+b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>+</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a+b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2391acf09244b9dba74eb940e871a6be7e7973a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.068ex; height:2.343ex;" alt="{\displaystyle a+b}"></span>
+</td>
+<td><a href="/wiki/Addition" title="Addition">Addition</a>
+</td>
+<td><code>+</code>
+</td>
+<td><code>&amp;plus;</code>
+</td>
+<td><code>U+002B</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle -}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2212;<!-- − --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle -}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04bd52ce670743d3b61bec928a7ec9f47309eb36" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle -}"></span>
+</td>
+<td style="text-align: center;">−
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a-b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2212;<!-- − --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a-b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b80866c2bf2f1bc1f2e4c97e7937f5663150ea6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.068ex; height:2.343ex;" alt="{\displaystyle a-b}"></span>
+</td>
+<td><a href="/wiki/Subtraction" title="Subtraction">Subtraction</a>
+</td>
+<td><code>-</code>
+</td>
+<td><code>&amp;minus;</code>
+</td>
+<td><code>U+2212</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cdot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }"></span>
+</td>
+<td style="text-align: center;">⋅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\cdot b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\cdot b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/620419d3ed53abc98659a5fc0f3a5eb6177830ae" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.906ex; height:2.176ex;" alt="{\displaystyle a\cdot b}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Multiplication" title="Multiplication">Multiplication</a>
+</td>
+<td><code>\cdot</code>
+</td>
+<td><code>&amp;sdot;</code>
+</td>
+<td><code>U+22C5</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \times }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00D7;<!-- × --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \times }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \times }"></span>
+</td>
+<td style="text-align: center;">⨯
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\times b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x00D7;<!-- × --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\times b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65b420244850c1a22be4c326f91e146db8b037f0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.068ex; height:2.176ex;" alt="{\displaystyle a\times b}"></span>
+</td>
+<td><code>\times</code>
+</td>
+<td><code>&amp;times;</code>
+</td>
+<td><code>U+2A2F</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle :}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>:</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle :}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd064c6ce80ad9a8e53adebb7ad51b7635fceb0f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:1.676ex;" alt="{\displaystyle :}"></span>
+</td>
+<td style="text-align: center;">∶&#160;&#160;or&#160;&#160;:
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a:b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>:</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a:b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3149b4f815ad9e8b3e8cdd29adcd02a42c22e5ad" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.165ex; height:2.176ex;" alt="{\displaystyle a:b}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Division_(mathematics)" title="Division (mathematics)">Division (mathematics)</a>
+</td>
+<td><code>:</code>,&#160;<code>\colon</code>
+</td>
+<td><code>&amp;ratio;</code>&#160;or&#160;<code>&amp;colon;</code>
+</td>
+<td><code>U+003A</code> or <code>U+2236</code>
+</td>
+<td>In LaTeX, <code>:</code> added space around the colon <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a:b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>:</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a:b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3149b4f815ad9e8b3e8cdd29adcd02a42c22e5ad" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.165ex; height:2.176ex;" alt="{\displaystyle a:b}"></span> that <code>\colon</code> does not <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\colon b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\colon b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f779de687a3e101d97c6e3d06ad942d1d8e8687" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.261ex; height:2.176ex;" alt="{\displaystyle a\colon b}"></span>.
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle /}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle /}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da0c4de1fba637d9799f6c64a6c77bf016d0ce1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle /}"></span>
+</td>
+<td style="text-align: center;">∕
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a/b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a/b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4a1b6c014398323cb45578581a536033fce1b28c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.39ex; height:2.843ex;" alt="{\displaystyle a/b}"></span>
+</td>
+<td><code>/</code>
+</td>
+<td><code>&amp;#x2215;</code>
+</td>
+<td><code>U+2215</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \div }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00F7;<!-- ÷ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \div }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/837b35ee5d25b5ce7b07f292c27cc90533dd9fd4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \div }"></span>
+</td>
+<td style="text-align: center;">÷
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\div b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x00F7;<!-- ÷ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\div b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/021958e4ad3e896d02f70c725544ad3fac40727c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.068ex; height:2.176ex;" alt="{\displaystyle a\div b}"></span>
+</td>
+<td><code>\div</code>
+</td>
+<td><code>&amp;divide;</code>
+</td>
+<td><code>U+00F7</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\frac {~~}{~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mfrac>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+          </mfrac>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\frac {~~}{~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3170c365a1c28cb2a4067affbb33f3ede04cba16" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:1.997ex; height:3.676ex;" alt="{\displaystyle {\frac {~~}{~~}}}"></span>
+</td>
+<td style="text-align: center;">⁄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\frac {a}{b}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mfrac>
+            <mi>a</mi>
+            <mi>b</mi>
+          </mfrac>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\frac {a}{b}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fbb66e57f89debc3cde3213de12228971148a93" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:2.066ex; height:4.843ex;" alt="{\displaystyle {\frac {a}{b}}}"></span>
+</td>
+<td><code>\frac{a}{b}</code><br /><span class="nowrap"><code>\tfrac{a}{b}</code>&#160;(inline)</span><br /><span class="nowrap"><code>\dfrac{a}{b}</code>&#160;(display)</span><br /><span class="nowrap"><code>\cfrac{a}{b}</code>&#160;(<a href="/wiki/Continued_fraction" title="Continued fraction">continued fraction</a>)</span>
+</td>
+<td><code>&amp;frasl;</code>
+</td>
+<td><code>U+2044</code>
+</td>
+<td><code>&lt;sup&gt;a&lt;/sup&gt;⁄&lt;sub&gt;b&lt;/sub&gt;</code> renders&#160;as: <sup>a</sup>⁄<sub>b</sub>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{-1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2212;<!-- − --></mo>
+            <mn>1</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{-1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/547b5e7c706c2a159d326f4ba95537622fd7ce16" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:2.333ex; height:2.509ex;" alt="{\displaystyle {}^{-1}}"></span>
+</td>
+<td style="text-align: center;">⁻
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a^{-1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>a</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2212;<!-- − --></mo>
+            <mn>1</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a^{-1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f5709c8d86f7fec8fb86069bf5d15a9eabe564e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.563ex; height:2.676ex;" alt="{\displaystyle a^{-1}}"></span>
+</td>
+<td><a href="/wiki/Multiplicative_inverse" title="Multiplicative inverse">Multiplicative inverse</a>
+</td>
+<td><code>^{-1}</code>
+</td>
+<td>
+</td>
+<td><code>U+207B</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle -}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2212;<!-- − --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle -}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04bd52ce670743d3b61bec928a7ec9f47309eb36" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle -}"></span>
+</td>
+<td style="text-align: center;">−
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle -a}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2212;<!-- − --></mo>
+        <mi>a</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle -a}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e0982b5868a66be1ed3ad7ef4bcd3d3db20f982" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:3.038ex; height:2.176ex;" alt="{\displaystyle -a}"></span>
+</td>
+<td><a href="/wiki/Additive_inverse" title="Additive inverse">Additive inverse</a>
+</td>
+<td><code>-</code>
+</td>
+<td><code>&amp;minus;</code>
+</td>
+<td><code>U+2212</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \pm }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00B1;<!-- ± --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \pm }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/869e366caf596564de4de06cb0ba124056d4064b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \pm }"></span>
+</td>
+<td style="text-align: center;">±
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \pm a}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00B1;<!-- ± --></mo>
+        <mi>a</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \pm a}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/781f67e2fb92a5b7043b0fec0a48b1506a36a69c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.038ex; height:2.176ex;" alt="{\displaystyle \pm a}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Plus_or_minus_sign" class="mw-redirect" title="Plus or minus sign">Plus or minus sign</a>
+</td>
+<td><code>\pm</code>
+</td>
+<td><code>&amp;plusmn;</code>
+</td>
+<td><code>U+00B1</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mp }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2213;<!-- ∓ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mp }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/05b50b6328dacb0018133e9c73c7dcd1844d57b7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.009ex;" alt="{\displaystyle \mp }"></span>
+</td>
+<td style="text-align: center;">∓
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mp a}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2213;<!-- ∓ --></mo>
+        <mi>a</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mp a}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e83de8f0fddc02f29c882149b5e56b9db5052f23" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.038ex; height:2.009ex;" alt="{\displaystyle \mp a}"></span>
+</td>
+<td><code>\mp</code>
+</td>
+<td><code>&amp;mnplus;</code>
+</td>
+<td><code>U+2213</code>
+</td>
+<td>
+</td></tr></tbody></table>
+<h4><span class="mw-headline" id="Elementary_functions">Elementary functions</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=8" title="Edit section: Elementary functions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h4>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt {\,}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <msqrt>
+            <mspace width="thinmathspace" />
+          </msqrt>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt {\,}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61c45501d84c899510930f610d6bd34e94a16d7a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:2.323ex; height:3.009ex;" alt="{\displaystyle {\sqrt {\,}}}"></span>
+</td>
+<td style="text-align: center;">√
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt {x}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <msqrt>
+            <mi>x</mi>
+          </msqrt>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt {x}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d62b24be305beff66cba9bfbcc01a362ba390f44" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.266ex; height:3.009ex;" alt="{\displaystyle {\sqrt {x}}}"></span>
+</td>
+<td><a href="/wiki/Square_root" title="Square root">Square root</a>
+</td>
+<td><code>\sqrt{}</code>
+</td>
+<td><code>&amp;radic;</code>
+</td>
+<td><code>U+221A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt[{3}]{\,}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mroot>
+            <mspace width="thinmathspace" />
+            <mrow class="MJX-TeXAtom-ORD">
+              <mn>3</mn>
+            </mrow>
+          </mroot>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt[{3}]{\,}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8bd1c105ffb138efa8cb81f4ae03f5869175e67e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:2.323ex; height:3.009ex;" alt="{\displaystyle {\sqrt[{3}]{\,}}}"></span>
+</td>
+<td style="text-align: center;">∛
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt[{3}]{x}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mroot>
+            <mi>x</mi>
+            <mrow class="MJX-TeXAtom-ORD">
+              <mn>3</mn>
+            </mrow>
+          </mroot>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt[{3}]{x}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a55f866116e7a86823816615dd98fcccde75473" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.266ex; height:3.009ex;" alt="{\displaystyle {\sqrt[{3}]{x}}}"></span>
+</td>
+<td><a href="/wiki/Cube_root" title="Cube root">Cube root</a>
+</td>
+<td><code>\sqrt[3]{x}</code>
+</td>
+<td><code>&amp;x221B;</code>
+</td>
+<td><code>U+221B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt[{4}]{\,}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mroot>
+            <mspace width="thinmathspace" />
+            <mrow class="MJX-TeXAtom-ORD">
+              <mn>4</mn>
+            </mrow>
+          </mroot>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt[{4}]{\,}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc82c67ccc16edc41586a5fefcb3cc4a2b9d9a73" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:2.323ex; height:3.009ex;" alt="{\displaystyle {\sqrt[{4}]{\,}}}"></span>
+</td>
+<td style="text-align: center;">∜
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt[{4}]{x}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mroot>
+            <mi>x</mi>
+            <mrow class="MJX-TeXAtom-ORD">
+              <mn>4</mn>
+            </mrow>
+          </mroot>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt[{4}]{x}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6193130540098748b8aecf0b95bf490c2ae3d867" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.266ex; height:3.009ex;" alt="{\displaystyle {\sqrt[{4}]{x}}}"></span>
+</td>
+<td><a href="/wiki/Fourth_root" class="mw-redirect" title="Fourth root">Fourth root</a>
+</td>
+<td><code>\sqrt[4]{x}</code>
+</td>
+<td><code>&amp;x221C;</code>
+</td>
+<td><code>U+221C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt[{n}]{\,}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mroot>
+            <mspace width="thinmathspace" />
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi>n</mi>
+            </mrow>
+          </mroot>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt[{n}]{\,}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/116bc50c1f90ded3726006b1a0b8070066b5ae99" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:2.323ex; height:3.009ex;" alt="{\displaystyle {\sqrt[{n}]{\,}}}"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\sqrt[{n}]{x}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mroot>
+            <mi>x</mi>
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi>n</mi>
+            </mrow>
+          </mroot>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\sqrt[{n}]{x}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b3ba2638d05cd9ed8dafae7e34986399e48ea99" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.266ex; height:3.009ex;" alt="{\displaystyle {\sqrt[{n}]{x}}}"></span>
+</td>
+<td><a href="/wiki/Nth_root" title="Nth root"><i>n</i>th root</a>
+</td>
+<td><code>\sqrt[n]{}</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \%}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0025;<!-- % --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \%}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e5a85b333ac4e07604aff5d6d89bba8c2341802b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.343ex;" alt="{\displaystyle \%}"></span>
+</td>
+<td style="text-align: center;">%
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle x\,\%}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>x</mi>
+        <mspace width="thinmathspace" />
+        <mi mathvariant="normal">&#x0025;<!-- % --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle x\,\%}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/822cd919ea2be0017dbaefb94a1c147265f024da" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.653ex; height:2.343ex;" alt="{\displaystyle x\,\%}"></span>
+</td>
+<td><a href="/wiki/Percentage" title="Percentage">Percentage</a>
+</td>
+<td><code>\%</code>
+</td>
+<td><code>&amp;percnt;</code>
+</td>
+<td><code>U+0025</code>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (~~)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (~~)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/18d87e074628d54ad15ca27dba00e60d55e9faa0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle (~~)}"></span>
+</td>
+<td rowspan="2" style="text-align: center;">( )
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dd1f6d437f1742bfd5ffbdccd2477c07e9909e04" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.139ex; height:2.843ex;" alt="{\displaystyle (x)}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Order_of_operations" title="Order of operations">Order of operations</a>
+</td>
+<td><code>(</code>&#160;<code>)</code>
+</td>
+<td rowspan="2"><code>&amp;lpar;</code>&#160;<code>&amp;rpar;</code>
+</td>
+<td rowspan="2"><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \left({\frac {1}{2}}\right)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow>
+          <mo>(</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mfrac>
+              <mn>1</mn>
+              <mn>2</mn>
+            </mfrac>
+          </mrow>
+          <mo>)</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \left({\frac {1}{2}}\right)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/08a269880242c2132aae545154f2d4c3deb5d303" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:5.42ex; height:6.176ex;" alt="{\displaystyle \left({\frac {1}{2}}\right)}"></span>
+</td>
+<td><code>\left( \right)</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [~~]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [~~]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1376a583a956836622dd69bd6fb32d91fe2a6d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle [~~]}"></span>
+</td>
+<td style="text-align: center;">[ ]
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [x]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mi>x</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [x]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07548563c21e128890501e14eb7c80ee2d6fda4d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.623ex; height:2.843ex;" alt="{\displaystyle [x]}"></span>
+</td>
+<td><a href="/wiki/Bracket" title="Bracket">Bracket</a>
+</td>
+<td><code>[</code>&#160;<code>]</code>
+</td>
+<td><code>&amp;lsqb;</code>&#160;<code>&amp;rsqb;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |~~|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |~~|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29900ebd10692214f66b27b664618fe5b23c369d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle |~~|}"></span>
+</td>
+<td style="text-align: center;">| |
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |x|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mi>x</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |x|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4eb41e5fd5dc37eaa1718dfbf4bc082edb991936" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.623ex; height:2.843ex;" alt="{\displaystyle |x|}"></span>
+</td>
+<td><a href="/wiki/Absolute_value" title="Absolute value">Absolute value</a>
+</td>
+<td><code>|</code>, <code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \left\{~~\right\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow>
+          <mo>{</mo>
+          <mrow>
+            <mtext>&#xA0;</mtext>
+            <mtext>&#xA0;</mtext>
+          </mrow>
+          <mo>}</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \left\{~~\right\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/10719e5e0957378082aa28e70a32bce126c30f26" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.486ex; height:2.843ex;" alt="{\displaystyle \left\{~~\right\}}"></span>
+</td>
+<td style="text-align: center;">{ }
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \left\{x\right\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow>
+          <mo>{</mo>
+          <mi>x</mi>
+          <mo>}</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \left\{x\right\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15b96c104bcffe44b4cd0c51545bdd938d5d43e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.655ex; height:2.843ex;" alt="{\displaystyle \left\{x\right\}}"></span>
+</td>
+<td><a href="/wiki/Fractional_part" title="Fractional part">Fractional part</a>
+</td>
+<td><code>\{</code>&#160;<code>\}</code><br /><code>\lbrace</code>&#160;<code>\rbrace</code>
+</td>
+<td><code>&amp;lcub;</code>&#160;<code>&amp;rcub;</code>
+</td>
+<td><code>U+007B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lceil ~~\rceil }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x2308;<!-- ⌈ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x2309;<!-- ⌉ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lceil ~~\rceil }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88934f4ad86cf2402a4f0ed02b430106eaa7746f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.226ex; height:2.843ex;" alt="{\displaystyle \lceil ~~\rceil }"></span>
+</td>
+<td style="text-align: center;">⌈ ⌉
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lceil x\rceil }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x2308;<!-- ⌈ --></mo>
+        <mi>x</mi>
+        <mo fence="false" stretchy="false">&#x2309;<!-- ⌉ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lceil x\rceil }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5ac7f37c8288700904b4a22a2f7c94d45ba917de" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.394ex; height:2.843ex;" alt="{\displaystyle \lceil x\rceil }"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Floor_and_ceiling_functions" title="Floor and ceiling functions">Floor and ceiling functions</a>
+</td>
+<td><code>\lceil</code>&#160;<code>\rceil</code>
+</td>
+<td><code>&amp;lceil;</code> <code>&amp;rceil;</code>
+</td>
+<td><code>U+2308/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lfloor ~~\rfloor }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x230A;<!-- ⌊ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x230B;<!-- ⌋ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lfloor ~~\rfloor }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3eb6a160d946126c3a7d4b46a06cd44b1301e06" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.226ex; height:2.843ex;" alt="{\displaystyle \lfloor ~~\rfloor }"></span>
+</td>
+<td style="text-align: center;">⌊ ⌋
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lfloor x\rfloor }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x230A;<!-- ⌊ --></mo>
+        <mi>x</mi>
+        <mo fence="false" stretchy="false">&#x230B;<!-- ⌋ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lfloor x\rfloor }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/738c94c88678dd08a289f90a47a609ce44eedf14" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.394ex; height:2.843ex;" alt="{\displaystyle \lfloor x\rfloor }"></span>
+</td>
+<td><code>\lfloor</code>&#160;<code>\rfloor</code>
+</td>
+<td><code>&amp;lfloor;</code> <code>&amp;rfloor;</code>
+</td>
+<td><code>U+230A/B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ulcorner ~~\urcorner }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x231C;<!-- ⌜ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo>&#x231D;<!-- ⌝ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ulcorner ~~\urcorner }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70a0fa424874c88b9dbfd3ca352d418f89f691c9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:3.486ex; height:2.009ex;" alt="{\displaystyle \ulcorner ~~\urcorner }"></span>
+</td>
+<td style="text-align: center;">⌜ ⌝
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ulcorner x\urcorner }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x231C;<!-- ⌜ --></mo>
+        <mi>x</mi>
+        <mo>&#x231D;<!-- ⌝ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ulcorner x\urcorner }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee6d93310e83aa15663e72042712580264bea263" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.655ex; height:2.176ex;" alt="{\displaystyle \ulcorner x\urcorner }"></span>
+</td>
+<td><code>\ulcorner</code>&#160;<code>\urcorner</code>
+</td>
+<td><code>&amp;ulcorner;</code> <code>&amp;urcorner;</code>
+</td>
+<td><code>U+231C/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \llcorner ~~\lrcorner }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x231E;<!-- ⌞ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo>&#x231F;<!-- ⌟ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \llcorner ~~\lrcorner }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b9ccd6bb449e74573d8dcb3089572843ad304ca" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.486ex; height:1.509ex;" alt="{\displaystyle \llcorner ~~\lrcorner }"></span>
+</td>
+<td style="text-align: center;">⌞ ⌟
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \llcorner x\lrcorner }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x231E;<!-- ⌞ --></mo>
+        <mi>x</mi>
+        <mo>&#x231F;<!-- ⌟ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \llcorner x\lrcorner }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79a98f281975888d05c54dd6232cdb25393aa717" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.655ex; height:1.676ex;" alt="{\displaystyle \llcorner x\lrcorner }"></span>
+</td>
+<td><code>\llcorner</code>&#160;<code>\lrcorner</code>
+</td>
+<td><code>&amp;llcorner;</code> <code>&amp;lrcorner;</code>
+</td>
+<td><code>U+231E/F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \frown }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2322;<!-- ⌢ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \frown }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/904123c3e03f3f99c5acbecf3cdf08b8f8438b53" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.281ex; margin-bottom: -0.452ex; width:2.324ex; height:1.343ex;" alt="{\displaystyle \frown }"></span>
+</td>
+<td style="text-align: center;">&#160;&#8994;&#8203;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\stackrel {\frown }{x}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mi>x</mi>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mo>&#x2322;<!-- ⌢ --></mo>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\stackrel {\frown }{x}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9b8ef5278ff1adc75423e3d7a432f0401f0bdf42" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:2.676ex;" alt="{\displaystyle {\stackrel {\frown }{x}}}"></span>
+</td>
+<td><a href="/wiki/Cap_product" title="Cap product">Cap product</a>
+</td>
+<td><code>\frown</code>
+</td>
+<td><code>&amp;frown;</code>
+</td>
+<td><code>U+2322</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \smile }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2323;<!-- ⌣ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \smile }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3885eca63e224e40912ea2b44c5fe85f3d4f8be8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.309ex; margin-bottom: -0.48ex; width:2.324ex; height:1.343ex;" alt="{\displaystyle \smile }"></span>
+</td>
+<td style="text-align: center;">&#160;⌣&#8203;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\stackrel {\smile }{x}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mi>x</mi>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mo>&#x2323;<!-- ⌣ --></mo>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\stackrel {\smile }{x}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa19fd007725af2aa1e2af2bfd8e145d8340c4a7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.643ex; height:2.676ex;" alt="{\displaystyle {\stackrel {\smile }{x}}}"></span>
+</td>
+<td><a href="/wiki/Cup_product" title="Cup product">Cup product</a>
+</td>
+<td><code>\smile</code>
+</td>
+<td><code>&amp;smile;</code>
+</td>
+<td><code>U+2323</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \exp }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>exp</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \exp }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4d1185b570f67b4221307626254f64f9e619e769" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.552ex; height:2.009ex;" alt="{\displaystyle \exp }"></span>
+</td>
+<td style="text-align: center;">exp
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \exp x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>exp</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \exp x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb48cbff4a1363dbf36792710839f53bd5e02ff9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.269ex; height:2.009ex;" alt="{\displaystyle \exp x}"></span>
+</td>
+<td><a href="/wiki/Exponential_function" title="Exponential function">Exponential function</a>
+</td>
+<td><code>\exp</code>
+</td>
+<td><code>exp</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \log }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>log</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \log }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79e4debd0ab1c6ce342d0172a7643733305c37bc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.972ex; height:2.509ex;" alt="{\displaystyle \log }"></span>
+</td>
+<td style="text-align: center;">log
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \log _{b}x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi>log</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>b</mi>
+          </mrow>
+        </msub>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \log _{b}x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/777b35d8d91f445f98286c9619003039e28dfe94" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.626ex; height:2.676ex;" alt="{\displaystyle \log _{b}x}"></span>
+</td>
+<td><a href="/wiki/Logarithm" title="Logarithm">Logarithm</a>
+</td>
+<td><code>\log</code> or <code>\log_{}</code>
+</td>
+<td><code>log</code> or <code>log&lt;sub&gt;&lt;/sub&gt;</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ln }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>ln</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ln }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c0de5ba4f372ede555d00035e70c50ed0b9625d0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.939ex; height:2.176ex;" alt="{\displaystyle \ln }"></span>
+</td>
+<td style="text-align: center;">ln
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ln x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>ln</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ln x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed172b0f5195382a3500c713941f945ad4db3898" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.656ex; height:2.176ex;" alt="{\displaystyle \ln x}"></span>
+</td>
+<td><a href="/wiki/Natural_logarithm" title="Natural logarithm">Natural logarithm</a>
+</td>
+<td><code>\ln</code>
+</td>
+<td><code>ln</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lg }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>lg</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lg }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/98b224d76809f72c08c5e833505455ae566ede04" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle \lg }"></span>
+</td>
+<td style="text-align: center;">lg
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lg x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>lg</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lg x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a8d7d8f8fbd44c0f2edcc2c28e9e23f3b6fcc68a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.526ex; height:2.509ex;" alt="{\displaystyle \lg x}"></span>
+</td>
+<td><a href="/wiki/Binary_logarithm" title="Binary logarithm">Binary logarithm</a>
+</td>
+<td><code>\lg</code>
+</td>
+<td><code>lg</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \min }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">min</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \min }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/695d28931288a686335c3969dfd15bb76ea873db" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.875ex; height:2.176ex;" alt="{\displaystyle \min }"></span>
+</td>
+<td style="text-align: center;">min
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \min\{1,2\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">min</mo>
+        <mo fence="false" stretchy="false">{</mo>
+        <mn>1</mn>
+        <mo>,</mo>
+        <mn>2</mn>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \min\{1,2\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1e22565e555d0c8c89e9bea1bded5aee95575841" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.559ex; height:2.843ex;" alt="{\displaystyle \min\{1,2\}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Maxima_and_minima" class="mw-redirect" title="Maxima and minima">Maxima and minima</a>
+</td>
+<td><code>\min</code>
+</td>
+<td><code>min</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \max }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">max</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \max }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8e49fca3e322708b32d21eaa8b095dc05f09538" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.326ex; height:1.676ex;" alt="{\displaystyle \max }"></span>
+</td>
+<td style="text-align: center;">max
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \max\{1,2\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">max</mo>
+        <mo fence="false" stretchy="false">{</mo>
+        <mn>1</mn>
+        <mo>,</mo>
+        <mn>2</mn>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \max\{1,2\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a882aee18117f5e3c9d87dcd3fab59885a2c5af" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.01ex; height:2.843ex;" alt="{\displaystyle \max\{1,2\}}"></span>
+</td>
+<td><code>\max</code>
+</td>
+<td><code>max</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \inf }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">inf</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \inf }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ebda70cf79cae47e82899a2e9dddbd3839f4076c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.153ex; width:2.805ex; height:2.176ex;" alt="{\displaystyle \inf }"></span>
+</td>
+<td style="text-align: center;">inf
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \inf\{1,2\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">inf</mo>
+        <mo fence="false" stretchy="false">{</mo>
+        <mn>1</mn>
+        <mo>,</mo>
+        <mn>2</mn>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \inf\{1,2\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c016ea946da28c95a45c6d456bb5898b83e005fe" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.335ex; height:2.843ex;" alt="{\displaystyle \inf\{1,2\}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Infimum_and_supremum" title="Infimum and supremum">Infimum and supremum</a>
+</td>
+<td><code>\inf</code>
+</td>
+<td><code>inf</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">sup</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/266a03117c05ef2558c304b1dbb5f319fcd56fd6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.501ex; height:2.009ex;" alt="{\displaystyle \sup }"></span>
+</td>
+<td style="text-align: center;">sup
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sup\{1,2\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">sup</mo>
+        <mo fence="false" stretchy="false">{</mo>
+        <mn>1</mn>
+        <mo>,</mo>
+        <mn>2</mn>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sup\{1,2\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f95349ce821469c053507cfc66fa4de7ef81cc3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.185ex; height:2.843ex;" alt="{\displaystyle \sup\{1,2\}}"></span>
+</td>
+<td><code>\sup</code>
+</td>
+<td><code>sup</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \liminf }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">lim&#x2006;inf</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \liminf }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d53498a9f403b1cf8cb38888e0c312a790c190b2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.153ex; width:6.422ex; height:2.176ex;" alt="{\displaystyle \liminf }"></span>
+</td>
+<td style="text-align: center;">liminf
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \liminf _{n\to \infty }x_{n}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim&#x2006;inf</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi>
+          </mrow>
+        </munder>
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \liminf _{n\to \infty }x_{n}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bdc3f4f27d6f3019955990e912e872c3305928f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.204ex; height:3.676ex;" alt="{\displaystyle \liminf _{n\to \infty }x_{n}}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Limit_inferior_and_limit_superior" title="Limit inferior and limit superior">Limit inferior and limit superior</a>
+</td>
+<td><code>\liminf</code>
+</td>
+<td><code>liminf</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varliminf }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <munder>
+            <mi>lim</mi>
+            <mo>&#x005F;<!-- _ --></mo>
+          </munder>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varliminf }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1789d1f094d9372ccf55de69f40292044dc8115b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.511ex; margin-bottom: -0.827ex; width:3.232ex; height:3.176ex;" alt="{\displaystyle \varliminf }"></span>
+</td>
+<td style="text-align: center;"><u>lim</u>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varliminf x_{n}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <munder>
+            <mi>lim</mi>
+            <mo>&#x005F;<!-- _ --></mo>
+          </munder>
+        </mrow>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varliminf x_{n}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e54e4fb1393512ac1b673ea70e948e0e9b496326" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.511ex; margin-bottom: -0.827ex; width:6.167ex; height:3.176ex;" alt="{\displaystyle \varliminf x_{n}}"></span>
+</td>
+<td><code>\varliminf</code>
+</td>
+<td><code>&lt;u&gt;lim&lt;/u&gt;</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \limsup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">lim&#x2006;sup</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \limsup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65cfb6e2db94e77fb5ffeb16157e8d3be44c53c0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.119ex; height:2.509ex;" alt="{\displaystyle \limsup }"></span>
+</td>
+<td style="text-align: center;">limsup
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \limsup _{n\to \infty }x_{n}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim&#x2006;sup</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi>
+          </mrow>
+        </munder>
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \limsup _{n\to \infty }x_{n}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a32237ac361402cb937fd6001db920430e04bb8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:10.054ex; height:4.176ex;" alt="{\displaystyle \limsup _{n\to \infty }x_{n}}"></span>
+</td>
+<td><code>\limsup</code>
+</td>
+<td><code>limsup</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varlimsup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <mover>
+            <mi>lim</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varlimsup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4db0c745e258e521d481d2334b307bbfbc7e6cca" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.345ex; height:3.009ex;" alt="{\displaystyle \varlimsup }"></span>
+</td>
+<td style="text-align: center;"><span style="text-decoration:overline;">lim</span>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varlimsup x_{n}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <mover>
+            <mi>lim</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varlimsup x_{n}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/745fab0e7a8cce00c68c1ae4ebd0df0d2e94c3e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.28ex; height:3.343ex;" alt="{\displaystyle \varlimsup x_{n}}"></span>
+</td>
+<td><code>\varlimsup</code>
+</td>
+<td><code>&lt;span style="text-decoration:overline;"&gt;lim&lt;/span&gt;</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gcd }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">gcd</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gcd }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28979567efb2146b67a2c80df864a160ff85564a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.487ex; height:2.509ex;" alt="{\displaystyle \gcd }"></span>
+</td>
+<td style="text-align: center;">gcd
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gcd(1,2)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">gcd</mo>
+        <mo stretchy="false">(</mo>
+        <mn>1</mn>
+        <mo>,</mo>
+        <mn>2</mn>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gcd(1,2)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5990ae35c96c632786263ae1944833847e6e72c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.656ex; height:2.843ex;" alt="{\displaystyle \gcd(1,2)}"></span>
+</td>
+<td><a href="/wiki/Greatest_common_divisor" title="Greatest common divisor">Greatest common divisor</a>
+</td>
+<td><code>\gcd</code>
+</td>
+<td><code>gcd</code>
+</td>
+<td>
+</td></tr></tbody></table>
+<p><i>Note:</i> the <a href="/wiki/Power_function" class="mw-redirect" title="Power function">power function</a> is not represented by its own icon, but by the positioning of the exponent as a <a href="/wiki/Superscript" class="mw-redirect" title="Superscript">superscript</a>.
+</p>
+<h4><span class="mw-headline" id="Trigonometric_functions">Trigonometric functions</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=9" title="Edit section: Trigonometric functions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h4>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sin }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>sin</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sin }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee55beec18afd710e7ab767964b915b020c65093" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.856ex; height:2.176ex;" alt="{\displaystyle \sin }"></span>
+</td>
+<td style="text-align: center;">sin
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sin x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>sin</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sin x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09b4b55580d6a821a07ad9fe35be88976917b10b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.572ex; height:2.176ex;" alt="{\displaystyle \sin x}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Sine_and_cosine" title="Sine and cosine">Sine and cosine</a>
+</td>
+<td><code>\sin</code>
+</td>
+<td><code>sin</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cos }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>cos</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cos }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e473a3de151d75296f141f9f482fe59d582a7509" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.111ex; height:1.676ex;" alt="{\displaystyle \cos }"></span>
+</td>
+<td style="text-align: center;">cos
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cos x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>cos</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cos x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/184ba70c3a71df25a25c09f34cd7f8175a9b5280" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.828ex; height:1.676ex;" alt="{\displaystyle \cos x}"></span>
+</td>
+<td><code>\cos</code>
+</td>
+<td><code>cos</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \tan }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>tan</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \tan }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b57c91704d9ab0366a6436869e2968491efc5155" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.36ex; height:2.009ex;" alt="{\displaystyle \tan }"></span>
+</td>
+<td style="text-align: center;">tan
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \tan x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>tan</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \tan x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3983a722002d77dd3d0babab871c50488aef9f4b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.076ex; height:2.009ex;" alt="{\displaystyle \tan x}"></span>
+</td>
+<td><a href="/wiki/Tangent" title="Tangent">Tangent</a>
+</td>
+<td><code>\tan</code>
+</td>
+<td><code>tan</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sec }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>sec</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sec }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3dd93d9784c55e8ef40f81993114bd3c3d01084c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.981ex; height:1.676ex;" alt="{\displaystyle \sec }"></span>
+</td>
+<td style="text-align: center;">sec
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sec x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>sec</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sec x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32c8904bcf644b6f3ab015742047994329f741bf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.698ex; height:1.676ex;" alt="{\displaystyle \sec x}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Trigonometric_functions" title="Trigonometric functions">Trigonometric functions</a>
+</td>
+<td><code>\sec</code>
+</td>
+<td><code>sec</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \csc }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>csc</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \csc }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/399542cf3e9a873371132ffebe579187d48962ae" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.981ex; height:1.676ex;" alt="{\displaystyle \csc }"></span>
+</td>
+<td style="text-align: center;">csc
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \csc x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>csc</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \csc x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f0e0fc784f0e9c8c3346f7891568f4ab216c1155" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.698ex; height:1.676ex;" alt="{\displaystyle \csc x}"></span>
+</td>
+<td><code>\csc</code>
+</td>
+<td><code>csc</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>cot</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5bce4c1822b49c4e7ecd7b9aa07f2fcb1706817" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.099ex; height:2.009ex;" alt="{\displaystyle \cot }"></span>
+</td>
+<td style="text-align: center;">cot
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cot x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>cot</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cot x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/905c0a51e91def9119e96c665363c5853f030a96" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.816ex; height:2.009ex;" alt="{\displaystyle \cot x}"></span>
+</td>
+<td><code>\cot</code>
+</td>
+<td><code>cot</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arcsin }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arcsin</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arcsin }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/627fcadc0495786c9167c5487a1a795bb1940edd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.962ex; height:2.176ex;" alt="{\displaystyle \arcsin }"></span>
+</td>
+<td style="text-align: center;">sin
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arcsin x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arcsin</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arcsin x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8941574c0f224adeedae0f72bd48098116cc2068" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.679ex; height:2.176ex;" alt="{\displaystyle \arcsin x}"></span>
+</td>
+<td rowspan="6"><a href="/wiki/Inverse_trigonometric_functions" title="Inverse trigonometric functions">Inverse trigonometric functions</a>
+</td>
+<td><code>\arcsin</code>
+</td>
+<td><code>arcsin</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arccos }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arccos</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arccos }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2f10121c1f582201ae32a56303e36bee4191336" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.218ex; height:1.676ex;" alt="{\displaystyle \arccos }"></span>
+</td>
+<td style="text-align: center;">arccos
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arccos x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arccos</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arccos x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c2f5e84a5218f798ae5d01f85cec659fbb6e3df2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.934ex; height:1.676ex;" alt="{\displaystyle \arccos x}"></span>
+</td>
+<td><code>\arccos</code>
+</td>
+<td><code>arccos</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arctan }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arctan</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arctan }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e7b430086dd06a52623bbaa883d86baf9811554" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.466ex; height:2.009ex;" alt="{\displaystyle \arctan }"></span>
+</td>
+<td style="text-align: center;">arctan
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \arctan x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arctan</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \arctan x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea7315ab90c047f16ec0972c15e14988ed737c1f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.183ex; height:2.009ex;" alt="{\displaystyle \arctan x}"></span>
+</td>
+<td><code>\arctan</code>
+</td>
+<td><code>arctan</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {arcsec} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arcsec</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {arcsec} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/482d42102d686f0ca84aa0ef1aba041079968050" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.088ex; height:1.676ex;" alt="{\displaystyle \operatorname {arcsec} }"></span>
+</td>
+<td style="text-align: center;">arcsec
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {arcsec} x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arcsec</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {arcsec} x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a884c955a44c10680ed9c7dd40ee069348074f72" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.804ex; height:1.676ex;" alt="{\displaystyle \operatorname {arcsec} x}"></span>
+</td>
+<td><code>\arcsec</code>
+</td>
+<td><code>arcsec</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {arccsc} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arccsc</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {arccsc} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8d28252695f7581278866d73dc45eff02c9e55fa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.088ex; height:1.676ex;" alt="{\displaystyle \operatorname {arccsc} }"></span>
+</td>
+<td style="text-align: center;">arccsc
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {arccsc} x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arccsc</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {arccsc} x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bae425273da46d2a418f4b976caf4b46363f8f83" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.804ex; height:1.676ex;" alt="{\displaystyle \operatorname {arccsc} x}"></span>
+</td>
+<td><code>\arccsc</code>
+</td>
+<td><code>arccsc</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {arccot} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arccot</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {arccot} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e1975aeae325af753f7a94c5158ea82fe807ce4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.206ex; height:2.009ex;" alt="{\displaystyle \operatorname {arccot} }"></span>
+</td>
+<td style="text-align: center;">arccot
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \operatorname {arccot} x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>arccot</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \operatorname {arccot} x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae888cf43a3f76ec58a8b9ecf3c92b4a28e5dd92" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.923ex; height:2.009ex;" alt="{\displaystyle \operatorname {arccot} x}"></span>
+</td>
+<td><code>\arccot</code>
+</td>
+<td><code>arccot</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sinh }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>sinh</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sinh }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bb6649e190c30e91b280cc02b27acdfe00055e58" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.148ex; height:2.176ex;" alt="{\displaystyle \sinh }"></span>
+</td>
+<td style="text-align: center;">sinh
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sinh x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>sinh</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sinh x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa855e59efeb97e8146142f9aa3414fca17f24a8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.865ex; height:2.176ex;" alt="{\displaystyle \sinh x}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Hyperbolic_functions" title="Hyperbolic functions">Hyperbolic functions</a>
+</td>
+<td><code>\sinh</code>
+</td>
+<td><code>sinh</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cosh }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>cosh</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cosh }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/011ccafd311d38f9bbc0fcf3f7b13f7d81469d84" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.404ex; height:2.176ex;" alt="{\displaystyle \cosh }"></span>
+</td>
+<td style="text-align: center;">cosh
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cosh x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>cosh</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cosh x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa23e796f0d4eae2439367502f387edfa6c4b559" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.12ex; height:2.176ex;" alt="{\displaystyle \cosh x}"></span>
+</td>
+<td><code>\cosh</code>
+</td>
+<td><code>cosh</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \tanh }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>tanh</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \tanh }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b1494d5d222bc80846ce45e804a38b0ea37e846b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.652ex; height:2.176ex;" alt="{\displaystyle \tanh }"></span>
+</td>
+<td style="text-align: center;">tanh
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \tanh x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>tanh</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \tanh x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d0be1dd47ba059a32307fa7dbcf98c0877931e39" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.369ex; height:2.176ex;" alt="{\displaystyle \tanh x}"></span>
+</td>
+<td><code>\tanh</code>
+</td>
+<td><code>tanh</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \coth }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>coth</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \coth }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3111993c8de3e6524f16291f1777a34652e15b8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.392ex; height:2.176ex;" alt="{\displaystyle \coth }"></span>
+</td>
+<td style="text-align: center;">coth
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \coth x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>coth</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \coth x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1da0f8e530c071792b8b0be169413afbe5b5579a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.109ex; height:2.176ex;" alt="{\displaystyle \coth x}"></span>
+</td>
+<td><code>\coth</code>
+</td>
+<td><code>coth</code>
+</td>
+<td>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Arithmetic_comparison">Arithmetic comparison</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=10" title="Edit section: Arithmetic comparison"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<dl><dd><i>See also</i>: <a href="#Order_theory_relations">Order relations</a>, <a href="#Set_relations">Set relations</a></dd></dl>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle &lt;}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&lt;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle &lt;}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33737c89a17785dacc8638b4d66db3d5c8670de1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle &lt;}"></span>
+</td>
+<td style="text-align: center;">&lt;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a&lt;b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&lt;</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a&lt;b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91a7698e4c7401bb321f97888b872b583a9e4642" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a&lt;b}"></span>
+</td>
+<td><code>&lt;</code>
+</td>
+<td><code>&amp;lt;</code>
+</td>
+<td><code>U+003C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle &gt;}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&gt;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle &gt;}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b27b77ab4e3293ea9ce65cef60fea655c398423" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle &gt;}"></span>
+</td>
+<td style="text-align: center;">&gt;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a&gt;b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&gt;</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a&gt;b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83fc0063781fb9bf4ec7608b2fd11ed6d5b05a13" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a&gt;b}"></span>
+</td>
+<td><code>&gt;</code>
+</td>
+<td><code>&amp;gt;</code>
+</td>
+<td><code>U+003E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2264;<!-- ≤ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/440568a09c3bfdf0e1278bfa79eb137c04e94035" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \leq }"></span>
+</td>
+<td style="text-align: center;">≤
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\leq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2264;<!-- ≤ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\leq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/41558abc50886fdf38817495b243958d7b3dd39b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\leq b}"></span>
+</td>
+<td><code>\le</code>, <code>\leq</code>
+</td>
+<td><code>&amp;le;</code>
+</td>
+<td><code>U+2264</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \geq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2265;<!-- ≥ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \geq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bcef7c0e95bb77a35fd1a874ca91f425215f3c26" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \geq }"></span>
+</td>
+<td style="text-align: center;">≥
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\geq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2265;<!-- ≥ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\geq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed5d3957d5f94566507526017e4ebb67c02efe81" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\geq b}"></span>
+</td>
+<td><code>\ge</code>, <code>\geq</code>
+</td>
+<td><code>&amp;ge;</code>
+</td>
+<td><code>U+2265</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leqq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2266;<!-- ≦ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leqq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e1dd3e3e5dbf6fc91ddef46a531a96e5e3f57143" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.676ex;" alt="{\displaystyle \leqq }"></span>
+</td>
+<td style="text-align: center;">≦
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\leqq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2266;<!-- ≦ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\leqq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c87b0b392f5852fff3ca48110de4523fa86acd06" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.326ex; height:2.676ex;" alt="{\displaystyle a\leqq b}"></span>
+</td>
+<td><code>\leqq</code>
+</td>
+<td><code>&amp;LessFullEqual;</code>
+</td>
+<td><code>U+2266</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \geqq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2267;<!-- ≧ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \geqq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8297696e2dde5e226426ac38dfb5a876e566498" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.676ex;" alt="{\displaystyle \geqq }"></span>
+</td>
+<td style="text-align: center;">≧
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\geqq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2267;<!-- ≧ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\geqq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3492aa3ab1207986bb67247aea877d856d1d098e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.326ex; height:2.676ex;" alt="{\displaystyle a\geqq b}"></span>
+</td>
+<td><code>\geqq</code>
+</td>
+<td><code>&amp;GreaterFullEqual;</code>
+</td>
+<td><code>U+2267</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leqslant }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2A7D;<!-- ⩽ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leqslant }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/641be8b31b3bebbb9122010d73df358f4cf7203a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \leqslant }"></span>
+</td>
+<td style="text-align: center;">⩽
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\leqslant b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2A7D;<!-- ⩽ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\leqslant b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f994f4b416430409bb184cfa927b85392ee9d18" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\leqslant b}"></span>
+</td>
+<td><code>\leqslant</code>
+</td>
+<td><code>&amp;LessSlantEqual</code>
+</td>
+<td><code>U+2A7D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \geqslant }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2A7E;<!-- ⩾ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \geqslant }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/82e7d18b196b7b9060634a9c96a324be85704341" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \geqslant }"></span>
+</td>
+<td style="text-align: center;">⩾
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\geqslant b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2A7E;<!-- ⩾ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\geqslant b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28f56ffef28d47e0e9b1889c94bdab0185ca1b85" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\geqslant b}"></span>
+</td>
+<td><code>\geqslant</code>
+</td>
+<td><code>&amp;GreaterSlantEqual</code>
+</td>
+<td><code>U+2A7E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ll }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x226A;<!-- ≪ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ll }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/10563f31a4178c71bef006ea5c601e908f984136" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \ll }"></span>
+</td>
+<td style="text-align: center;">≪
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\ll b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x226A;<!-- ≪ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\ll b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b9675083fed09408a896f7c3f910a38effd691d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.841ex; height:2.176ex;" alt="{\displaystyle a\ll b}"></span>
+</td>
+<td><code>\ll</code>
+</td>
+<td><code>&amp;NestedLessLess;</code>
+</td>
+<td><code>U+226A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gg }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x226B;<!-- ≫ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gg }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bb8cf5bdde51831eb31118c36a0499d41a4b643e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \gg }"></span>
+</td>
+<td style="text-align: center;">≫
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\gg b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x226B;<!-- ≫ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\gg b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45cdae2b22ec1a1e6d11f6dfb80e292e0a6aebcf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.841ex; height:2.176ex;" alt="{\displaystyle a\gg b}"></span>
+</td>
+<td><code>\gg</code>
+</td>
+<td><code>&amp;NestedGreaterGreater;</code>
+</td>
+<td><code>U+226B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lesssim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2272;<!-- ≲ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lesssim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13f2a7eea11a2ec928f362e6a099f4ec28828a76" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.843ex;" alt="{\displaystyle \lesssim }"></span>
+</td>
+<td style="text-align: center;">≲
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\lesssim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2272;<!-- ≲ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\lesssim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/be1e403c8f16944c7138563ad2b71cc76c28faa8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.843ex;" alt="{\displaystyle a\lesssim b}"></span>
+</td>
+<td><code>\lesssim</code>
+</td>
+<td><code>&amp;lsim;</code>
+</td>
+<td><code>U+2272</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gtrsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2273;<!-- ≳ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gtrsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/697c35ea6f5a1722d41bb586b6a056e4a7edd1f3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.843ex;" alt="{\displaystyle \gtrsim }"></span>
+</td>
+<td style="text-align: center;">≳
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\gtrsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2273;<!-- ≳ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\gtrsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cdfcd268f351b2c5503fa432884798117c255ae6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.843ex;" alt="{\displaystyle a\gtrsim b}"></span>
+</td>
+<td><code>\gtrsim</code>
+</td>
+<td><code>&amp;GreaterTilde;</code>
+</td>
+<td><code>U+2273</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lessapprox }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2A85;<!-- ⪅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lessapprox }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/991226da2309bcf8e3618996b0ff9689077c27d2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.009ex;" alt="{\displaystyle \lessapprox }"></span>
+</td>
+<td style="text-align: center;">⪅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\lessapprox b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2A85;<!-- ⪅ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\lessapprox b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0490c1e1e50749a4e398d941c0f297cecbee134c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:5.326ex; height:3.009ex;" alt="{\displaystyle a\lessapprox b}"></span>
+</td>
+<td><code>\lessapprox</code>
+</td>
+<td><code>&amp;lessapprox;</code>
+</td>
+<td><code>U+2A85</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gtrapprox }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2A86;<!-- ⪆ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gtrapprox }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/239fc92495834d2c3302bcf1eaae01f5888320f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.009ex;" alt="{\displaystyle \gtrapprox }"></span>
+</td>
+<td style="text-align: center;">⪆
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\gtrapprox b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2A86;<!-- ⪆ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\gtrapprox b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e05263332ee583852e6a534a80f65c68641e397" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:5.326ex; height:3.009ex;" alt="{\displaystyle a\gtrapprox b}"></span>
+</td>
+<td><code>\gtrapprox</code>
+</td>
+<td><code>&amp;gap;</code>
+</td>
+<td><code>U+2A86</code>
+</td></tr></tbody></table>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lessgtr }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2276;<!-- ≶ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lessgtr }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4adf4a5188221ed7716ac47809efe45db6b06362" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.676ex;" alt="{\displaystyle \lessgtr }"></span>
+</td>
+<td style="text-align: center;">≶
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\lessgtr b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2276;<!-- ≶ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\lessgtr b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/96817b6b901d163a93a6bb6259724bba351b46da" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.676ex;" alt="{\displaystyle a\lessgtr b}"></span>
+</td>
+<td><code>\lessgtr</code>
+</td>
+<td><code>&amp;LessGreater</code>
+</td>
+<td><code>U+2276</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gtrless }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2277;<!-- ≷ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gtrless }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9bb0e5d6b8ada24ee82dfaf0a7826b4d9418e14d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.676ex;" alt="{\displaystyle \gtrless }"></span>
+</td>
+<td style="text-align: center;">≷
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\gtrless b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2277;<!-- ≷ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\gtrless b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1d5538ddc76ee1f4bd1ca74383ae139a0ccc992e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.676ex;" alt="{\displaystyle a\gtrless b}"></span>
+</td>
+<td><code>\gtrless</code>
+</td>
+<td><code>&amp;GreaterLess;</code>
+</td>
+<td><code>U+2277</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lesseqgtr }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22DA;<!-- ⋚ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lesseqgtr }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/49b741260ad8abcdf222d2a962848832526ccb35" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:1.808ex; height:3.509ex;" alt="{\displaystyle \lesseqgtr }"></span>
+</td>
+<td style="text-align: center;">⋚
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\lesseqgtr b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22DA;<!-- ⋚ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\lesseqgtr b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/11d48be5a860bd9dbd9313f3211d71fb745945ad" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:5.326ex; height:3.509ex;" alt="{\displaystyle a\lesseqgtr b}"></span>
+</td>
+<td><code>\lesseqgtr</code>
+</td>
+<td><code>&amp;LessEqualGreater;</code>
+</td>
+<td><code>U+22DA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gtreqless }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22DB;<!-- ⋛ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gtreqless }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/14363c5f07b7e818fa9de1700a4e01335cf7ecf4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:1.808ex; height:3.509ex;" alt="{\displaystyle \gtreqless }"></span>
+</td>
+<td style="text-align: center;">⋛
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\gtreqless b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22DB;<!-- ⋛ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\gtreqless b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/038fcf3ed006f89554b381fedaaf37eaa08843ea" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:5.326ex; height:3.509ex;" alt="{\displaystyle a\gtreqless b}"></span>
+</td>
+<td><code>\gtreqless</code>
+</td>
+<td><code>&amp;GreaterEqualLess;</code>
+</td>
+<td><code>U+22DB</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lesseqqgtr }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2A8B;<!-- ⪋ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lesseqqgtr }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d050bbe6c6f9c4273c62d8b3101331ac17899a2f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:1.808ex; height:3.843ex;" alt="{\displaystyle \lesseqqgtr }"></span>
+</td>
+<td style="text-align: center;">⪋
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\lesseqqgtr b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2A8B;<!-- ⪋ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\lesseqqgtr b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/21a41a4318194ae2664a62f9ea90a3e2e45a59b3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:5.326ex; height:3.843ex;" alt="{\displaystyle a\lesseqqgtr b}"></span>
+</td>
+<td><code>\lesseqqgtr</code>
+</td>
+<td><code>&amp;lesseqqgtr;</code>
+</td>
+<td><code>U+2A8B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gtreqqless }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2A8C;<!-- ⪌ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gtreqqless }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f971ac6f45293a25fbdaa4e2a9f5fec48f7febe7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:1.808ex; height:3.843ex;" alt="{\displaystyle \gtreqqless }"></span>
+</td>
+<td style="text-align: center;">⪌
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\gtreqqless b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2A8C;<!-- ⪌ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\gtreqqless b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3f1179f8d474c145c405c7c7fed87fa8be97a5f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:5.326ex; height:3.843ex;" alt="{\displaystyle a\gtreqqless b}"></span>
+</td>
+<td><code>\gtreqqless</code>
+</td>
+<td><code>&amp;gtreqqless;</code>
+</td>
+<td><code>U+2A8C</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Number_theory">Number theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=11" title="Edit section: Number theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Divisibility_and_modulo">Divisibility and modulo</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=12" title="Edit section: Divisibility and modulo"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mid }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2223;<!-- ∣ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mid }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f7b2136e276c4aec285a6c40b91180c16432b9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:0.647ex; height:2.843ex;" alt="{\displaystyle \mid }"></span>
+</td>
+<td style="text-align: center;">∣
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\mid b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2223;<!-- ∣ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\mid b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70ab1c16db0f00b6cc26bcd7dae49514f5aadfff" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.165ex; height:2.843ex;" alt="{\displaystyle a\mid b}"></span>
+</td>
+<td><code>\mid</code>
+</td>
+<td><code>&amp;VerticalBar;</code>
+</td>
+<td><code>U+2223</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nmid }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2224;<!-- ∤ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nmid }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0698c887774735c30f8ae93987bc2f1b6d442962" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.045ex; margin-right: -0.042ex; width:0.734ex; height:2.843ex;" alt="{\displaystyle \nmid }"></span>
+</td>
+<td style="text-align: center;">∤
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\nmid b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2224;<!-- ∤ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\nmid b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f854f2343eb61fb428f5e47267d155bd93113fe" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.165ex; height:2.843ex;" alt="{\displaystyle a\nmid b}"></span>
+</td>
+<td><code>\nmid</code>
+</td>
+<td><code>&amp;NotVerticalBar;</code>
+</td>
+<td><code>U+2224</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \perp }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22A5;<!-- ⊥ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \perp }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afb90d6db42aa12f9e2f31176a4ed4e741c69eca" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \perp }"></span>
+</td>
+<td style="text-align: center;">⊥
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\perp b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22A5;<!-- ⊥ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\perp b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32b55cea2fe988b733476e92cb40e44fb8b2a24d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\perp b}"></span>
+</td>
+<td><code>\perp</code>
+</td>
+<td><code>&amp;perp;</code>
+</td>
+<td><code>U+22A5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqcap }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2293;<!-- ⊓ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqcap }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c38557c8237ae62e49439282c30dc8cf5d223528" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \sqcap }"></span>
+</td>
+<td style="text-align: center;">⊓
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sqcap b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2293;<!-- ⊓ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sqcap b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d9939e1930171d48fdf02d25bacaff654680511" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.81ex; height:2.176ex;" alt="{\displaystyle a\sqcap b}"></span>
+</td>
+<td><code>\sqcap</code>
+</td>
+<td><code>&amp;SquareIntersection;</code>
+</td>
+<td><code>U+2293</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \wedge }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2227;<!-- ∧ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \wedge }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1caa4004cb216ef2930bb12fe805a76870caed94" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \wedge }"></span>
+</td>
+<td style="text-align: center;">∧
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\wedge b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2227;<!-- ∧ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\wedge b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1dc496a5b5da3e9b94eb72f04a54167dfe022e45" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.81ex; height:2.176ex;" alt="{\displaystyle a\wedge b}"></span>
+</td>
+<td><code>\wedge</code>
+</td>
+<td><code>&amp;and;</code>
+</td>
+<td><code>U+2227</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqcup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2294;<!-- ⊔ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqcup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1596aedf354da694149e44ce2bf53ede54eca8cb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \sqcup }"></span>
+</td>
+<td style="text-align: center;">⊔
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sqcup b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2294;<!-- ⊔ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sqcup b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2104f23a675692f86009797fd937b94a24ef3ad4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.81ex; height:2.176ex;" alt="{\displaystyle a\sqcup b}"></span>
+</td>
+<td><code>\sqcup</code>
+</td>
+<td><code>&amp;SquareUnion;</code>
+</td>
+<td><code>U+2294</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \vee }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2228;<!-- ∨ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \vee }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b76220c6805c9b465d6efbc7686c624f49f3023" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \vee }"></span>
+</td>
+<td style="text-align: center;">∨
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\vee b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2228;<!-- ∨ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\vee b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3393da6721f85fa89a1d3a8c28e82c679abe4032" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.81ex; height:2.176ex;" alt="{\displaystyle a\vee b}"></span>
+</td>
+<td><code>\vee</code>
+</td>
+<td><code>&amp;or;</code>
+</td>
+<td><code>U+2228</code>
+</td></tr></tbody></table>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th>
+<th>Other information
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \equiv }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2261;<!-- ≡ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \equiv }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4c5c34250859b6f6d2a77b4e8a2ceaa90638076d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.081ex; margin-bottom: -0.253ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \equiv }"></span>
+</td>
+<td style="text-align: center;">≡
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\equiv b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2261;<!-- ≡ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\equiv b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/859529d640f85a2c3bf2847f61a842ba3a5753ee" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\equiv b}"></span>
+</td>
+<td rowspan="3" style="text-align: center;"><a href="/wiki/Modulo_operation" class="mw-redirect" title="Modulo operation">Modulo operation</a>
+</td>
+<td><code>\equiv</code>
+</td>
+<td><code>&amp;equiv;</code>
+</td>
+<td><code>U+2261</code>
+</td>
+<td style="text-align: center;">
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mod m}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mspace width="1em" />
+        <mi>mod</mi>
+        <mspace width="thinmathspace" />
+        <mspace width="thinmathspace" />
+        <mi>m</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mod m}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8a247f496d0e6ca58c1e621ea38ed8a42bede74e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.915ex; height:2.176ex;" alt="{\displaystyle \mod m}"></span>
+</td>
+<td style="text-align: center;">mod
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\mod m}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="1em" />
+        <mi>mod</mi>
+        <mspace width="thinmathspace" />
+        <mspace width="thinmathspace" />
+        <mi>m</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\mod m}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2fd3956c78181ac8be057e87f1a6439331ee0efe" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:11.532ex; height:2.176ex;" alt="{\displaystyle a\mod m}"></span>
+</td>
+<td><code>\mod m</code>
+</td>
+<td><code>mod</code>
+</td>
+<td style="text-align: center;">
+</td>
+<td><code>&lt;math&gt;\mod&lt;/math&gt;</code> without a trailing symbol (e.g. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle m}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>m</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle m}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span>) will produce an error.
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\pmod {m}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mspace width="1em" />
+          <mo stretchy="false">(</mo>
+          <mi>mod</mi>
+          <mspace width="0.333em" />
+          <mi>m</mi>
+          <mo stretchy="false">)</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\pmod {m}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f30d9542386ea1c9c121a4382972abfb8719a74" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.724ex; height:2.843ex;" alt="{\displaystyle {\pmod {m}}}"></span>
+</td>
+<td style="text-align: center;">(mod)
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a{\pmod {m}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mspace width="1em" />
+          <mo stretchy="false">(</mo>
+          <mi>mod</mi>
+          <mspace width="0.333em" />
+          <mi>m</mi>
+          <mo stretchy="false">)</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a{\pmod {m}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f51762f6e2525ecb52f4dbe5018c9a601b92e72" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.954ex; height:2.843ex;" alt="{\displaystyle a{\pmod {m}}}"></span>
+</td>
+<td><code>\pmod m</code>
+</td>
+<td><code>(mod)</code>
+</td>
+<td style="text-align: center;">
+</td>
+<td><code>&lt;math&gt;\pmod&lt;/math&gt;</code> without a trailing symbol (e.g. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle m}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>m</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle m}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span>) will produce an error.
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gcd }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">gcd</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gcd }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28979567efb2146b67a2c80df864a160ff85564a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.487ex; height:2.509ex;" alt="{\displaystyle \gcd }"></span>
+</td>
+<td style="text-align: center;">gcd
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gcd(1,2)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">gcd</mo>
+        <mo stretchy="false">(</mo>
+        <mn>1</mn>
+        <mo>,</mo>
+        <mn>2</mn>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gcd(1,2)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5990ae35c96c632786263ae1944833847e6e72c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.656ex; height:2.843ex;" alt="{\displaystyle \gcd(1,2)}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/Greatest_common_divisor" title="Greatest common divisor">Greatest common divisor</a>
+</td>
+<td><code>\gcd</code>
+</td>
+<td><code>gcd</code>
+</td>
+<td>
+</td>
+<td style="text-align: center;">
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Combinatorics">Combinatorics</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=13" title="Edit section: Combinatorics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td rowspan="3" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle !}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>!</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle !}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b552106cb3511c670d125b372d702e7cca7d630a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0.647ex; height:2.009ex;" alt="{\displaystyle !}"></span>
+</td>
+<td rowspan="3" style="text-align: center;">!
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle n!}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>n</mi>
+        <mo>!</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle n!}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bae971720be3cc9b8d82f4cdac89cb89877514a6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.042ex; height:2.176ex;" alt="{\displaystyle n!}"></span>
+</td>
+<td><a href="/wiki/Factorial" title="Factorial">Factorial</a>
+</td>
+<td rowspan="3"><code>!</code>
+</td>
+<td rowspan="3"><code>&amp;excl;</code>
+</td>
+<td rowspan="3"><code>U+0021</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle !n}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>!</mo>
+        <mi>n</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle !n}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/efaf7d115d7a907ca111c252671fb63169b47a9d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.042ex; height:2.176ex;" alt="{\displaystyle !n}"></span>
+</td>
+<td><a href="/wiki/Derangement" title="Derangement">Derangement</a>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle n!!}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>n</mi>
+        <mo>!</mo>
+        <mo>!</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle n!!}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/511717d541dba5357928e8d8631f1b4d4f8d5b31" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.688ex; height:2.176ex;" alt="{\displaystyle n!!}"></span>
+</td>
+<td><a href="/wiki/Double_factorial" title="Double factorial">Double factorial</a>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\tbinom {~}{~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mstyle displaystyle="false" scriptlevel="0">
+            <mrow>
+              <mrow class="MJX-TeXAtom-OPEN">
+                <mo maxsize="1.2em" minsize="1.2em">(</mo>
+              </mrow>
+              <mfrac linethickness="0">
+                <mtext>&#xA0;</mtext>
+                <mtext>&#xA0;</mtext>
+              </mfrac>
+              <mrow class="MJX-TeXAtom-CLOSE">
+                <mo maxsize="1.2em" minsize="1.2em">)</mo>
+              </mrow>
+            </mrow>
+          </mstyle>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\tbinom {~}{~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f0e09fbddab23d2aa36ef18ddae124ac267833e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.71ex; height:3.176ex;" alt="{\displaystyle {\tbinom {~}{~}}}"></span>
+</td>
+<td rowspan="2" style="text-align: center;">( )
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\tbinom {n}{k}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mstyle displaystyle="false" scriptlevel="0">
+            <mrow>
+              <mrow class="MJX-TeXAtom-OPEN">
+                <mo maxsize="1.2em" minsize="1.2em">(</mo>
+              </mrow>
+              <mfrac linethickness="0">
+                <mi>n</mi>
+                <mi>k</mi>
+              </mfrac>
+              <mrow class="MJX-TeXAtom-CLOSE">
+                <mo maxsize="1.2em" minsize="1.2em">)</mo>
+              </mrow>
+            </mrow>
+          </mstyle>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\tbinom {n}{k}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/206415d3742167e319b2e52c2ca7563b799abad7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.116ex; height:3.176ex;" alt="{\displaystyle {\tbinom {n}{k}}}"></span>
+</td>
+<td><a href="/wiki/Combination" title="Combination">Combination</a>
+</td>
+<td rowspan="2"><code>\binom</code>
+</td>
+<td rowspan="2"><code>&amp;lpar;</code> <code>&amp;rpar;</code>
+</td>
+<td rowspan="2"><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\tbinom {n}{k_{1},\ldots ,k_{r}}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mstyle displaystyle="false" scriptlevel="0">
+            <mrow>
+              <mrow class="MJX-TeXAtom-OPEN">
+                <mo maxsize="1.2em" minsize="1.2em">(</mo>
+              </mrow>
+              <mfrac linethickness="0">
+                <mi>n</mi>
+                <mrow>
+                  <msub>
+                    <mi>k</mi>
+                    <mrow class="MJX-TeXAtom-ORD">
+                      <mn>1</mn>
+                    </mrow>
+                  </msub>
+                  <mo>,</mo>
+                  <mo>&#x2026;<!-- … --></mo>
+                  <mo>,</mo>
+                  <msub>
+                    <mi>k</mi>
+                    <mrow class="MJX-TeXAtom-ORD">
+                      <mi>r</mi>
+                    </mrow>
+                  </msub>
+                </mrow>
+              </mfrac>
+              <mrow class="MJX-TeXAtom-CLOSE">
+                <mo maxsize="1.2em" minsize="1.2em">)</mo>
+              </mrow>
+            </mrow>
+          </mstyle>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\tbinom {n}{k_{1},\ldots ,k_{r}}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/220db3036dff42d73218e10bbe2a0644dd681e28" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:8.281ex; height:3.509ex;" alt="{\displaystyle {\tbinom {n}{k_{1},\ldots ,k_{r}}}}"></span>
+</td>
+<td><a href="/wiki/Multinomial_coefficient" class="mw-redirect" title="Multinomial coefficient">Multinomial coefficient</a>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \left(\!{\tbinom {~}{~}}\!\right)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow>
+          <mo>(</mo>
+          <mrow>
+            <mspace width="negativethinmathspace" />
+            <mrow class="MJX-TeXAtom-ORD">
+              <mstyle displaystyle="false" scriptlevel="0">
+                <mrow>
+                  <mrow class="MJX-TeXAtom-OPEN">
+                    <mo maxsize="1.2em" minsize="1.2em">(</mo>
+                  </mrow>
+                  <mfrac linethickness="0">
+                    <mtext>&#xA0;</mtext>
+                    <mtext>&#xA0;</mtext>
+                  </mfrac>
+                  <mrow class="MJX-TeXAtom-CLOSE">
+                    <mo maxsize="1.2em" minsize="1.2em">)</mo>
+                  </mrow>
+                </mrow>
+              </mstyle>
+            </mrow>
+            <mspace width="negativethinmathspace" />
+          </mrow>
+          <mo>)</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \left(\!{\tbinom {~}{~}}\!\right)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa63154e2ef35c65cab4ff4c751ce1d9462c1bb2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:4.066ex; height:3.176ex;" alt="{\displaystyle \left(\!{\tbinom {~}{~}}\!\right)}"></span>
+</td>
+<td style="text-align: center;">((  ))
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \left(\!{\tbinom {n}{k}}\!\right)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow>
+          <mo>(</mo>
+          <mrow>
+            <mspace width="negativethinmathspace" />
+            <mrow class="MJX-TeXAtom-ORD">
+              <mstyle displaystyle="false" scriptlevel="0">
+                <mrow>
+                  <mrow class="MJX-TeXAtom-OPEN">
+                    <mo maxsize="1.2em" minsize="1.2em">(</mo>
+                  </mrow>
+                  <mfrac linethickness="0">
+                    <mi>n</mi>
+                    <mi>k</mi>
+                  </mfrac>
+                  <mrow class="MJX-TeXAtom-CLOSE">
+                    <mo maxsize="1.2em" minsize="1.2em">)</mo>
+                  </mrow>
+                </mrow>
+              </mstyle>
+            </mrow>
+            <mspace width="negativethinmathspace" />
+          </mrow>
+          <mo>)</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \left(\!{\tbinom {n}{k}}\!\right)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/77c58d8e4518bfc795f1932ea13a117cdc475683" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:4.472ex; height:3.176ex;" alt="{\displaystyle \left(\!{\tbinom {n}{k}}\!\right)}"></span>
+</td>
+<td><a href="/wiki/Multiset" title="Multiset">Multiset</a>
+</td>
+<td>((  ))
+</td>
+<td><code>&amp;lpar;</code> <code>&amp;rpar;</code>
+</td>
+<td><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td rowspan="3" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mtext>&#xA0;</mtext>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5911d9009ca85257b93bd8c3f91330591b78ebf1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-left: -0.012ex; margin-bottom: -0.671ex; width:0.72ex; height:1.676ex;" alt="{\displaystyle {\overline {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle n^{\bar {m}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>n</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mover>
+                <mi>m</mi>
+                <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+              </mover>
+            </mrow>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle n^{\bar {m}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/02bdc755a4249ab616baf9ac43ff259bbff4b226" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.07ex; height:2.843ex;" alt="{\displaystyle n^{\bar {m}}}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Pochhammer_symbol" class="mw-redirect" title="Pochhammer symbol">Pochhammer symbol</a>
+</td>
+<td><code>\bar</code>
+</td>
+<td><code>&amp;#x304;</code>
+</td>
+<td><code>U+0304</code>
+</td></tr>
+<tr>
+<td style="text-align: center;">◌̅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle n^{\overline {m}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>n</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>m</mi>
+              <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle n^{\overline {m}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c05639dbb4950bc447c71d2d325e3de98a21cf76" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.163ex; height:2.843ex;" alt="{\displaystyle n^{\overline {m}}}"></span>
+</td>
+<td><code>\overline</code>
+</td>
+<td><code>&amp;#x305;</code>
+</td>
+<td><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;">◌̲
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle n^{\underline {m}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>n</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <munder>
+              <mi>m</mi>
+              <mo>&#x005F;<!-- _ --></mo>
+            </munder>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle n^{\underline {m}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2c4588079ba6f56414d3c3c4f9854971caea921" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.071ex; height:2.343ex;" alt="{\displaystyle n^{\underline {m}}}"></span>
+</td>
+<td><code>\underline</code>
+</td>
+<td><code>&amp;#x332;</code>
+</td>
+<td><code>U+0332</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \#}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0023;<!-- # --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \#}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f72e8254fd59fa4060c66c9310acbaf6df2ce894" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.936ex; height:2.509ex;" alt="{\displaystyle \#}"></span>
+</td>
+<td style="text-align: center;">#
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle n\#}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>n</mi>
+        <mi mathvariant="normal">&#x0023;<!-- # --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle n\#}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/167c3481839df4ace6689a25e170c5e0c0d5551e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.331ex; height:2.509ex;" alt="{\displaystyle n\#}"></span>
+</td>
+<td><a href="/wiki/Primorial" title="Primorial">Primorial</a>
+</td>
+<td><code>\#</code>
+</td>
+<td><code>&amp;num;</code>
+</td>
+<td><code>U+0023</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Stochastics">Stochastics</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=14" title="Edit section: Stochastics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Probability_theory">Probability theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=15" title="Edit section: Probability theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle P}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>P</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle P}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle P(A)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>P</mi>
+        <mo stretchy="false">(</mo>
+        <mi>A</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle P(A)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f264d19e21604793c6dc54f8044df454db82744" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.298ex; height:2.843ex;" alt="{\displaystyle P(A)}"></span>
+</td>
+<td><a href="/wiki/Probability_measure" title="Probability measure">Probability measure</a>
+</td>
+<td><code>P</code>
+</td>
+<td>
+</td>
+<td><code>U+2119</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mid }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2223;<!-- ∣ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mid }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f7b2136e276c4aec285a6c40b91180c16432b9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:0.647ex; height:2.843ex;" alt="{\displaystyle \mid }"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle P(A\mid B)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>P</mi>
+        <mo stretchy="false">(</mo>
+        <mi>A</mi>
+        <mo>&#x2223;<!-- ∣ --></mo>
+        <mi>B</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle P(A\mid B)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f8f30f4da85b53901e0871eb41ed8827f511bb7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.999ex; height:2.843ex;" alt="{\displaystyle P(A\mid B)}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Conditional_probability" title="Conditional probability">Conditional probability</a>
+</td>
+<td><code>\mid</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle /}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle /}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da0c4de1fba637d9799f6c64a6c77bf016d0ce1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle /}"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle P(A/B)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>P</mi>
+        <mo stretchy="false">(</mo>
+        <mi>A</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+        <mi>B</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle P(A/B)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e8ea898d35e8bbd6aad8df7328635a699751856" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.224ex; height:2.843ex;" alt="{\displaystyle P(A/B)}"></span>
+</td>
+<td><code>/</code>
+</td>
+<td>
+</td>
+<td><code>U+2215</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle E}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>E</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle E}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4232c9de2ee3eec0a9c0a19b15ab92daa6223f9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.176ex;" alt="{\displaystyle E}"></span>
+</td>
+<td style="text-align: center;">𝔼
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle E(X)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>E</mi>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle E(X)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2f694d1a54e7ca685e042c3fe5a94a4cfb97317" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.565ex; height:2.843ex;" alt="{\displaystyle E(X)}"></span>
+</td>
+<td><a href="/wiki/Expected_value" title="Expected value">Expected value</a>
+</td>
+<td><code>E</code>
+</td>
+<td><code>&amp;Eopf;</code>
+</td>
+<td><code>U+1D53C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>V</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af0f6064540e84211d0ffe4dac72098adfa52845" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.787ex; height:2.176ex;" alt="{\displaystyle V}"></span>
+</td>
+<td style="text-align: center;">𝕍
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V(X)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>V</mi>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V(X)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87916cb7c6ff96b31f09ae92a1525573b3c606d9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.577ex; height:2.843ex;" alt="{\displaystyle V(X)}"></span>
+</td>
+<td><a href="/wiki/Variance" title="Variance">Variance</a>
+</td>
+<td><code>V</code>
+</td>
+<td><code>&amp;Vopf;</code>
+</td>
+<td><code>U+1D54D</code>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sigma }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C3;<!-- σ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">σ
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sigma (X)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C3;<!-- σ --></mi>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sigma (X)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/39ec6a71b2261193c64118dfde3d9721e7028a0f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.119ex; height:2.843ex;" alt="{\displaystyle \sigma (X)}"></span>
+</td>
+<td><a href="/wiki/Standard_deviation" title="Standard deviation">Standard deviation</a>
+</td>
+<td rowspan="2"><code>\sigma</code>
+</td>
+<td rowspan="2"><code>&amp;sigma;</code>
+</td>
+<td rowspan="2"><code>U+03C3</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sigma (X,Y)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C3;<!-- σ --></mi>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo>,</mo>
+        <mi>Y</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sigma (X,Y)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f8f1a1c8c9ca3f1f3b70dfa020632f6935201ec" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.926ex; height:2.843ex;" alt="{\displaystyle \sigma (X,Y)}"></span>
+</td>
+<td><a href="/wiki/Covariance" title="Covariance">Covariance</a>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \rho }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C1;<!-- ρ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \rho }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f7d439671d1289b6a816e6af7a304be40608d64" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.202ex; height:2.176ex;" alt="{\displaystyle \rho }"></span>
+</td>
+<td style="text-align: center;">ρ
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \rho (X,Y)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C1;<!-- ρ --></mi>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo>,</mo>
+        <mi>Y</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \rho (X,Y)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c81ef037527d13b6a9f78049855a4e9684ac8c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.798ex; height:2.843ex;" alt="{\displaystyle \rho (X,Y)}"></span>
+</td>
+<td><a href="/wiki/Correlation" title="Correlation">Correlation</a>
+</td>
+<td><code>\rho</code>
+</td>
+<td><code>&amp;rho;</code>
+</td>
+<td><code>U+03C1</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x223C;<!-- ∼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afcc42adfcfdc24d5c4c474869e5d8eaa78d1173" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:1.343ex;" alt="{\displaystyle \sim }"></span>
+</td>
+<td style="text-align: center;">∼
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X\sim F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>X</mi>
+        <mo>&#x223C;<!-- ∼ --></mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X\sim F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7c31111e34b349733b16db23b7b01f98ffc1e24" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.819ex; height:2.176ex;" alt="{\displaystyle X\sim F}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Probability_distribution" title="Probability distribution">Probability distribution</a>
+</td>
+<td><code>\sim</code>
+</td>
+<td><code>&amp;sim;</code>
+</td>
+<td><code>U+223C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \approx }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2248;<!-- ≈ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \approx }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f58f4c2b73283ce8a5ad28fb3746f2a8c998789" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \approx }"></span>
+</td>
+<td style="text-align: center;">≈
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X\approx F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>X</mi>
+        <mo>&#x2248;<!-- ≈ --></mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X\approx F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09660459296a7ecb901e8c92fb0feb0779cc95b7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.819ex; height:2.176ex;" alt="{\displaystyle X\approx F}"></span>
+</td>
+<td><code>\approx</code>
+</td>
+<td><code>&amp;asymp;</code>
+</td>
+<td><code>U+2248</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\displaystyle \perp }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mstyle displaystyle="true" scriptlevel="0">
+            <mo>&#x22A5;<!-- ⊥ --></mo>
+          </mstyle>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\displaystyle \perp }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/430ca1fc352ef502e1915f9200a3ca8ffd98e14d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle {\displaystyle \perp }}"></span>
+</td>
+<td style="text-align: center;">⊥
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\perp B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x22A5;<!-- ⊥ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\perp B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6522d65c3a0cf823fff40501a93b74e877a96f1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.606ex; height:2.176ex;" alt="{\displaystyle A\perp B}"></span>
+</td>
+<td><a href="/wiki/Independence_(probability_theory)" title="Independence (probability theory)">Independence (probability theory)</a>
+</td>
+<td><code>\perp</code>
+</td>
+<td><code>&amp;perp;</code>
+</td>
+<td><code>U+22A5</code>
+</td></tr></tbody></table>
+<dl><dd><i>Remark:</i> for operators there are several notational variants; instead of round brackets also square brackets are used</dd></dl>
+<h3><span class="mw-headline" id="Statistics">Statistics</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=16" title="Edit section: Statistics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/768bacda8640617e7a9ee2f01f86f21a40ddf4e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\bar {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {x}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>x</mi>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {x}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/466e03e1c9533b4dab1b9949dad393883f385d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:2.009ex;" alt="{\displaystyle {\bar {x}}}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Average" title="Average">Average</a>
+</td>
+<td><code>\bar</code>
+</td>
+<td><code>&amp;#x304;</code>
+</td>
+<td><code>U+0304</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a91edff755a91d1bbd8d9e6ec5da35190ad0ca2c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.276ex; height:1.676ex;" alt="{\displaystyle {\overline {~~}}}"></span>
+</td>
+<td style="text-align: center;">◌̅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {m}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mi>m</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {m}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9bda7ebb5c91ff759b3e1fed22560558a160957d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.155ex; height:2.343ex;" alt="{\displaystyle {\overline {m}}}"></span>
+</td>
+<td><code>\overline</code>
+</td>
+<td><code>&amp;#x305;</code>
+</td>
+<td><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle ~~\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle ~~\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47520dac6f5d37461df1f2fcc779f23432978028" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle \langle ~~\rangle }"></span>
+</td>
+<td style="text-align: center;">⟨ ⟩
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle X\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mi>X</mi>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle X\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef37e98f69e4c9e744a0d712fe39eb53ef467f7a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.789ex; height:2.843ex;" alt="{\displaystyle \langle X\rangle }"></span>
+</td>
+<td><code>\langle \rangle</code>
+</td>
+<td><code>&amp;lang;</code> <code>&amp;rang;</code>
+</td>
+<td><code>U+27E8/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3aa6fc5ed62bb17235b380c97efa1a33b48cf60" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\hat {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̂
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {p}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>p</mi>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {p}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8bd4c026f1b3413adc58b9b65e89e62bce92c85a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.449ex; height:2.509ex;" alt="{\displaystyle {\hat {p}}}"></span>
+</td>
+<td><a href="/wiki/Estimator" title="Estimator">Estimator</a>
+</td>
+<td><code>\hat</code>
+</td>
+<td><code>&#770;</code>
+</td>
+<td><code>U+0302</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Calculus">Calculus</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=17" title="Edit section: Calculus"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Sequences_and_series">Sequences and series</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=18" title="Edit section: Sequences and series"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sum }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2211;<!-- ∑ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sum }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f1d4e06539576633987e902f402ed46728d573b6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:3.355ex; height:3.843ex;" alt="{\displaystyle \sum }"></span>
+</td>
+<td style="text-align: center;">∑
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sum _{i=1}^{n},\sum _{i\in I}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munderover>
+          <mo>&#x2211;<!-- ∑ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mo>=</mo>
+            <mn>1</mn>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </munderover>
+        <mo>,</mo>
+        <munder>
+          <mo>&#x2211;<!-- ∑ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mo>&#x2208;<!-- ∈ --></mo>
+            <mi>I</mi>
+          </mrow>
+        </munder>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sum _{i=1}^{n},\sum _{i\in I}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35e72dccd527596fd438ed6f8ab9a7e47e8f8959" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:7.744ex; height:7.009ex;" alt="{\displaystyle \sum _{i=1}^{n},\sum _{i\in I}}"></span>
+</td>
+<td><a href="/wiki/Summation" title="Summation">Summation</a>
+</td>
+<td><code>\sum</code>
+</td>
+<td><code>&amp;sum;</code>
+</td>
+<td><code>U+2211</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \prod }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x220F;<!-- ∏ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \prod }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a90a03f5558eba2072a554f4fc0e5c01f6b20a24" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.969ex; height:3.843ex;" alt="{\displaystyle \prod }"></span>
+</td>
+<td style="text-align: center;">∏
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \prod _{i=1}^{n},\prod _{i\in I}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munderover>
+          <mo>&#x220F;<!-- ∏ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mo>=</mo>
+            <mn>1</mn>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </munderover>
+        <mo>,</mo>
+        <munder>
+          <mo>&#x220F;<!-- ∏ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mo>&#x2208;<!-- ∈ --></mo>
+            <mi>I</mi>
+          </mrow>
+        </munder>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \prod _{i=1}^{n},\prod _{i\in I}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4606bd1ca2e399c1ebedffb2a5fbece79e2d14e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:6.973ex; height:7.009ex;" alt="{\displaystyle \prod _{i=1}^{n},\prod _{i\in I}}"></span>
+</td>
+<td><a href="/wiki/Multiplication#Product_of_a_sequence" title="Multiplication">Multiplication</a>
+</td>
+<td><code>\prod</code>
+</td>
+<td><code>&amp;prod;</code>
+</td>
+<td><code>U+220F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \coprod }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2210;<!-- ∐ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \coprod }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/877c60b0d4de74534dd91db6be4259d96349ae9e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.969ex; height:3.843ex;" alt="{\displaystyle \coprod }"></span>
+</td>
+<td style="text-align: center;">∐
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \coprod _{i=1}^{n},\coprod _{i\in I}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munderover>
+          <mo>&#x2210;<!-- ∐ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mo>=</mo>
+            <mn>1</mn>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </munderover>
+        <mo>,</mo>
+        <munder>
+          <mo>&#x2210;<!-- ∐ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mo>&#x2208;<!-- ∈ --></mo>
+            <mi>I</mi>
+          </mrow>
+        </munder>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \coprod _{i=1}^{n},\coprod _{i\in I}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/248d462be2915a0359afd0e4ef3615a4b349b0bb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:6.973ex; height:7.009ex;" alt="{\displaystyle \coprod _{i=1}^{n},\coprod _{i\in I}}"></span>
+</td>
+<td><a href="/wiki/Coproduct" title="Coproduct">Coproduct</a>
+</td>
+<td><code>\coprod</code>
+</td>
+<td><code>&amp;Coproduct;</code>
+</td>
+<td><code>U+2210</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (~~)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (~~)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/18d87e074628d54ad15ca27dba00e60d55e9faa0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle (~~)}"></span>
+</td>
+<td style="text-align: center;">( )
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (a_{n})}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <msub>
+          <mi>a</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (a_{n})}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/18bc33c7c35d82b00f88d3a9103ed4738cde41f9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.258ex; height:2.843ex;" alt="{\displaystyle (a_{n})}"></span>
+</td>
+<td><a href="/wiki/Sequence" title="Sequence">Sequence</a>
+</td>
+<td><code>(  )</code>
+</td>
+<td><code>&amp;lpar;</code> <code>&amp;rpar;</code>
+</td>
+<td><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \to }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \to }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1daab843254cfcb23a643070cf93f3badc4fbbbd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \to }"></span>
+</td>
+<td style="text-align: center;">→
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a_{n}\to a}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi>a</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+        <mi>a</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a_{n}\to a}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1215cc19c3c7ee14a4e419478d7ac21cea8c2f2a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.292ex; height:2.176ex;" alt="{\displaystyle a_{n}\to a}"></span>
+</td>
+<td><a href="/wiki/Limit_of_a_sequence" title="Limit of a sequence">Limit of a sequence</a>
+</td>
+<td><code>\to</code> <code>\rarr</code>
+</td>
+<td><code>&amp;rarr;</code>
+</td>
+<td><code>U+2192</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \infty }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \infty }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c26c105004f30c27aa7c2a9c601550a4183b1f21" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.676ex;" alt="{\displaystyle \infty }"></span>
+</td>
+<td style="text-align: center;">∞
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle n\to \infty }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>n</mi>
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+        <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle n\to \infty }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0d55d9b32f6fa8fab6a84ea444a6b5a24bb45e1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.333ex; height:1.843ex;" alt="{\displaystyle n\to \infty }"></span>
+</td>
+<td><a href="/wiki/Infinity" title="Infinity">Infinity</a>
+</td>
+<td><code>\infty</code>
+</td>
+<td><code>&amp;infin;</code>
+</td>
+<td><code>U+221E</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Limits">Limits</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=19" title="Edit section: Limits"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \to }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \to }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1daab843254cfcb23a643070cf93f3badc4fbbbd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \to }"></span>
+</td>
+<td style="text-align: center;">→
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{x\to a}f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mi>a</mi>
+          </mrow>
+        </munder>
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{x\to a}f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/547547321057d78d16f66af0bfef2db184ebb64e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.258ex; height:3.843ex;" alt="{\displaystyle \lim _{x\to a}f(x)}"></span>
+</td>
+<td rowspan="13"><a href="/wiki/Limit_of_a_function" title="Limit of a function">Limit of a function</a>
+</td>
+<td><code>\to</code><br /><code>\rightarrow</code>
+</td>
+<td><code>&amp;rarr;</code><br /><code>&amp;rightarrow;</code>
+</td>
+<td><code>U+2192</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \longrightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x27F6;<!-- ⟶ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \longrightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ffb6a294b21bebe64570c4088d77a884dec95ab" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.806ex; height:1.843ex;" alt="{\displaystyle \longrightarrow }"></span>
+</td>
+<td style="text-align: center;">⟶
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle x\longrightarrow a}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>x</mi>
+        <mo stretchy="false">&#x27F6;<!-- ⟶ --></mo>
+        <mi>a</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle x\longrightarrow a}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6374f3383da1626d4ddfc1e15717bf588e31b1f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.655ex; height:1.843ex;" alt="{\displaystyle x\longrightarrow a}"></span>
+</td>
+<td><code>\longrightarrow</code>
+</td>
+<td><code>&amp;LongRightArrow;</code>
+</td>
+<td><code>U+27F6</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \uparrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2191;<!-- ↑ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \uparrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ddb20b28c74cdaa09e1f101d426441da1996072f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.162ex; height:2.509ex;" alt="{\displaystyle \uparrow }"></span>
+</td>
+<td style="text-align: center;">↑
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{x\uparrow a}f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo stretchy="false">&#x2191;<!-- ↑ --></mo>
+            <mi>a</mi>
+          </mrow>
+        </munder>
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{x\uparrow a}f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c35bd351c636690f6239a40bfb0304d71dc4a2cc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:8.034ex; height:4.343ex;" alt="{\displaystyle \lim _{x\uparrow a}f(x)}"></span>
+</td>
+<td><code>\uparrow</code>
+</td>
+<td><code>&amp;uarr;</code><br /><code>&amp;ShortUpArrow;</code>
+</td>
+<td><code>U+2191</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nearrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2197;<!-- ↗ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nearrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13726ca48b64be8035bbf69dedc5de51b6c59b62" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.324ex; height:2.676ex;" alt="{\displaystyle \nearrow }"></span>
+</td>
+<td style="text-align: center;">↗
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{x\nearrow a}f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo stretchy="false">&#x2197;<!-- ↗ --></mo>
+            <mi>a</mi>
+          </mrow>
+        </munder>
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{x\nearrow a}f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8afc565540c359ae39d4641fd92d3a6a24e3af3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:8.258ex; height:4.343ex;" alt="{\displaystyle \lim _{x\nearrow a}f(x)}"></span>
+</td>
+<td><code>\nearrow</code>
+</td>
+<td><code>&amp;UpperRightArrow;</code>
+</td>
+<td><code>U+2197</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \searrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2198;<!-- ↘ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \searrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c086f3b8ec7a49977877c105da5f386531d5775a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.324ex; height:2.676ex;" alt="{\displaystyle \searrow }"></span>
+</td>
+<td style="text-align: center;">↘
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{x\searrow a}f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo stretchy="false">&#x2198;<!-- ↘ --></mo>
+            <mi>a</mi>
+          </mrow>
+        </munder>
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{x\searrow a}f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e645188bbf5bd232a1183ebc06c550622e97754" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:8.258ex; height:4.343ex;" alt="{\displaystyle \lim _{x\searrow a}f(x)}"></span>
+</td>
+<td><code>\searrow</code>
+</td>
+<td><code>&amp;LowerRightArrow;</code>
+</td>
+<td><code>U+2198</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \downarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2193;<!-- ↓ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \downarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4618f22b0f780805eb94bb407578d9bc9487947a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.162ex; height:2.509ex;" alt="{\displaystyle \downarrow }"></span>
+</td>
+<td style="text-align: center;">↓
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{x\downarrow a}f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo stretchy="false">&#x2193;<!-- ↓ --></mo>
+            <mi>a</mi>
+          </mrow>
+        </munder>
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{x\downarrow a}f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88b9047878b454a53dd4e81ea83247f410cd31be" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:8.034ex; height:4.343ex;" alt="{\displaystyle \lim _{x\downarrow a}f(x)}"></span>
+</td>
+<td><code>\downarrow</code>
+</td>
+<td><code>&amp;darr;</code><br /><code>&amp;ShortDownArrow;</code>
+</td>
+<td><code>U+2193</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \swarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2199;<!-- ↙ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \swarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4fafa2f8a9f4c7b1c1adcf090888097ddde887d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.324ex; height:2.676ex;" alt="{\displaystyle \swarrow }"></span>
+</td>
+<td style="text-align: center;">↙
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\swarrow x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo stretchy="false">&#x2199;<!-- ↙ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\swarrow x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/12310bb9eb20a583bcdaee76dab68471ddf09503" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.174ex; height:2.676ex;" alt="{\displaystyle a\swarrow x}"></span>
+</td>
+<td><code>\swarrow</code>
+</td>
+<td><code>&amp;LowerLeftArrow;</code>
+</td>
+<td><code>U+2199</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leftarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2190;<!-- ← --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leftarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c0fb4bce772117bbaf55b7ca1539ceff9ae218c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \leftarrow }"></span>
+</td>
+<td style="text-align: center;">←
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\leftarrow x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo stretchy="false">&#x2190;<!-- ← --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\leftarrow x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc46261739a55545c5aec0f64208b067d5876dbc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.174ex; height:1.843ex;" alt="{\displaystyle a\leftarrow x}"></span>
+</td>
+<td><code>\leftarrow</code>
+</td>
+<td><code>&amp;larr;</code><br /><code>&amp;ShortLeftArrow;</code>
+</td>
+<td><code>U+2190</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \longleftarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x27F5;<!-- ⟵ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \longleftarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2bfecf2e8509d078cd7cf56f2ca8dca90598f251" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.738ex; height:1.843ex;" alt="{\displaystyle \longleftarrow }"></span>
+</td>
+<td style="text-align: center;">⟵
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\longleftarrow x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo stretchy="false">&#x27F5;<!-- ⟵ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\longleftarrow x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b87a1c52bd22fca4dd735f91509e27f5e20b49a4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.588ex; height:1.843ex;" alt="{\displaystyle a\longleftarrow x}"></span>
+</td>
+<td><code>\longleftarrow</code>
+</td>
+<td><code>&amp;longleftarrow;</code>
+</td>
+<td><code>U+27F5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nwarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2196;<!-- ↖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nwarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8477be47a1b75007f7f62bb406e08f5405366f2a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.324ex; height:2.676ex;" alt="{\displaystyle \nwarrow }"></span>
+</td>
+<td style="text-align: center;">↖
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\nwarrow x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo stretchy="false">&#x2196;<!-- ↖ --></mo>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\nwarrow x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c1d69c9a9d9a0bb395872dafa2206412612294d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.174ex; height:2.676ex;" alt="{\displaystyle a\nwarrow x}"></span>
+</td>
+<td><code>\nwarrow</code>
+</td>
+<td><code>&amp;UpperLeftArrow;</code>
+</td>
+<td><code>U+2196</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle ^{+}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>+</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle ^{+}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/21ab78c5213ebf0798d8711872653ea3ab94ab22" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.343ex;" alt="{\displaystyle ^{+}}"></span>
+</td>
+<td style="text-align: center;">⁺
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{x\to a^{+}}f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <msup>
+              <mi>a</mi>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mo>+</mo>
+              </mrow>
+            </msup>
+          </mrow>
+        </munder>
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{x\to a^{+}}f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3015abc43d9543015083b730a40aff94bdbfb149" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:9.46ex; height:4.343ex;" alt="{\displaystyle \lim _{x\to a^{+}}f(x)}"></span>
+</td>
+<td><code>^+</code>
+</td>
+<td><code>&amp;#8314;</code>
+</td>
+<td><code>U+207A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle ^{-}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2212;<!-- − --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle ^{-}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c6d65efb5682684db3dc8be0ebcdd503336ec78e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.343ex;" alt="{\displaystyle ^{-}}"></span>
+</td>
+<td style="text-align: center;">⁻
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{x\to a^{-}}f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <msup>
+              <mi>a</mi>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mo>&#x2212;<!-- − --></mo>
+              </mrow>
+            </msup>
+          </mrow>
+        </munder>
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{x\to a^{-}}f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/147e1ad436dc86cc3748a561ca59e973ffa56281" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:9.46ex; height:4.343ex;" alt="{\displaystyle \lim _{x\to a^{-}}f(x)}"></span>
+</td>
+<td><code>^-</code>
+</td>
+<td><code>&amp;#8315;</code>
+</td>
+<td><code>U+207B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">lim</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f3492ce8a823c21000f46e64db14732db9a8cce" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.23ex; height:2.176ex;" alt="{\displaystyle \lim }"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim _{n\to \infty }x_{n}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi>
+          </mrow>
+        </munder>
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim _{n\to \infty }x_{n}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e9e68667b4e113488d30c2e1e63bf0ddf238a4ce" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.208ex; height:3.676ex;" alt="{\displaystyle \lim _{n\to \infty }x_{n}}"></span>
+</td>
+<td><code>\lim</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \liminf }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">lim&#x2006;inf</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \liminf }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d53498a9f403b1cf8cb38888e0c312a790c190b2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.153ex; width:6.422ex; height:2.176ex;" alt="{\displaystyle \liminf }"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \liminf _{n\to \infty }x_{n}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim&#x2006;inf</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi>
+          </mrow>
+        </munder>
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \liminf _{n\to \infty }x_{n}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bdc3f4f27d6f3019955990e912e872c3305928f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.204ex; height:3.676ex;" alt="{\displaystyle \liminf _{n\to \infty }x_{n}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Limit_inferior_and_limit_superior" title="Limit inferior and limit superior">Limit inferior and limit superior</a>
+</td>
+<td><code>\liminf</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \limsup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">lim&#x2006;sup</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \limsup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65cfb6e2db94e77fb5ffeb16157e8d3be44c53c0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.119ex; height:2.509ex;" alt="{\displaystyle \limsup }"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \limsup _{n\to \infty }x_{n}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="true" form="prefix">lim&#x2006;sup</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mi mathvariant="normal">&#x221E;<!-- ∞ --></mi>
+          </mrow>
+        </munder>
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \limsup _{n\to \infty }x_{n}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a32237ac361402cb937fd6001db920430e04bb8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:10.054ex; height:4.176ex;" alt="{\displaystyle \limsup _{n\to \infty }x_{n}}"></span>
+</td>
+<td><code>\limsup</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Differential_calculus">Differential calculus</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=20" title="Edit section: Differential calculus"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1033289096"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Differential_calculus" title="Differential calculus">Differential calculus</a></div>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}'}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mo>&#x2032;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}'}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ea6544b21c7df37230227c33a42eda9aa3f078e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0.685ex; height:2.343ex;" alt="{\displaystyle {}&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6fc61f1219a3968e484d8d16cc4ff0d0831d1409" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0.685ex; height:2.343ex;" alt="{\displaystyle {}^{\prime }}"></span>
+</td>
+<td style="text-align: center;">′
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f'}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mo>&#x2032;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f'}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/258eaada38956fb69b8cb1a2eef46bcb97d3126b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.005ex; height:2.843ex;" alt="{\displaystyle f&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{\prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{\prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af4ba7eed864135ec5838c81b7692e19556580d8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.005ex; height:2.843ex;" alt="{\displaystyle f^{\prime }}"></span>
+</td>
+<td rowspan="7"><a href="/wiki/Lagrange%27s_notation" class="mw-redirect" title="Lagrange&#39;s notation">Lagrange's notation</a><br /><a href="/wiki/Prime_(symbol)" title="Prime (symbol)">Prime (symbol)</a>
+</td>
+<td><code>'</code><br /><code>^\prime</code>
+</td>
+<td><code>&amp;prime;</code>
+</td>
+<td><code>U+2032</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mo>&#x2033;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/077247b5d5be3cd9f268e631dfe4388dc378f844" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.137ex; height:2.343ex;" alt="{\displaystyle {}&#039;&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\prime \prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\prime \prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c59efc1f4bf7ffcce7e6175abc93ec2893303521" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.137ex; height:2.343ex;" alt="{\displaystyle {}^{\prime \prime }}"></span>
+</td>
+<td style="text-align: center;">″
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mo>&#x2033;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbbdf186092f4353b7630fa8dda903e493cbbdc8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.458ex; height:2.843ex;" alt="{\displaystyle f&#039;&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{\prime \prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{\prime \prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8fac1f78c21c524e9334fd0cd960b3b19647443a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.458ex; height:2.843ex;" alt="{\displaystyle f^{\prime \prime }}"></span>
+</td>
+<td><code>''</code><br /><code>^{\prime\prime}</code>
+</td>
+<td><code>&amp;Prime;</code>
+</td>
+<td><code>U+2033</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}'''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mo>&#x2034;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}'''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8795bff25929827da0f259e20fa7784b00357d05" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.59ex; height:2.343ex;" alt="{\displaystyle {}&#039;&#039;&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\prime \prime \prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\prime \prime \prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ce6c5ed9f1828337bfeccdde77c3331d077ea9b2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.59ex; height:2.343ex;" alt="{\displaystyle {}^{\prime \prime \prime }}"></span>
+</td>
+<td style="text-align: center;">‴
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f'''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mo>&#x2034;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f'''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b05804fd3402a8dc714b756d2f1e42c6653641a0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.91ex; height:2.843ex;" alt="{\displaystyle f&#039;&#039;&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{\prime \prime \prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{\prime \prime \prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e684b7dcdb38a96821a0a6d43ac91e120c6a3878" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.91ex; height:2.843ex;" alt="{\displaystyle f^{\prime \prime \prime }}"></span>
+</td>
+<td><code>'''</code><br /><code>^{\prime\prime\prime}</code>
+</td>
+<td><code>&amp;tprime;</code>
+</td>
+<td><code>U+2034</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}''''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mo>&#x2057;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}''''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/43d54ba2d33563183a2935c78ab9e8c562fb7759" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:2.042ex; height:2.343ex;" alt="{\displaystyle {}&#039;&#039;&#039;&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\prime \prime \prime \prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\prime \prime \prime \prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8356c1e36259f7eecf8ff380b02016c5b81326ef" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:2.042ex; height:2.343ex;" alt="{\displaystyle {}^{\prime \prime \prime \prime }}"></span>
+</td>
+<td style="text-align: center;">⁗
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f''''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mo>&#x2057;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f''''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e219f67f2de085102d85cf3d05dda52205605876" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.363ex; height:2.843ex;" alt="{\displaystyle f&#039;&#039;&#039;&#039;}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{\prime \prime \prime \prime }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+            <mi class="MJX-variant" mathvariant="normal">&#x2032;<!-- ′ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{\prime \prime \prime \prime }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4767289da7b80fab02f00d97e834ed1a2b0ef279" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.363ex; height:2.843ex;" alt="{\displaystyle f^{\prime \prime \prime \prime }}"></span>
+</td>
+<td><code>''''</code><br /><code>^{\prime\prime\prime\prime}</code>
+</td>
+<td><code>&amp;qprime;</code>
+</td>
+<td><code>U+2057</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle ^{IV}\;{}^{V}\;{}^{VI}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>I</mi>
+            <mi>V</mi>
+          </mrow>
+        </msup>
+        <mspace width="thickmathspace" />
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>V</mi>
+          </mrow>
+        </msup>
+        <mspace width="thickmathspace" />
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>V</mi>
+            <mi>I</mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle ^{IV}\;{}^{V}\;{}^{VI}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/669a8079596f557ffdcf98128b61f43055829c7a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:7.435ex; height:2.509ex;" alt="{\displaystyle ^{IV}\;{}^{V}\;{}^{VI}}"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{IV},f^{V},f^{VI}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>I</mi>
+            <mi>V</mi>
+          </mrow>
+        </msup>
+        <mo>,</mo>
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>V</mi>
+          </mrow>
+        </msup>
+        <mo>,</mo>
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>V</mi>
+            <mi>I</mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{IV},f^{V},f^{VI}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f0bcf2a9c52cd031c442a3d0a45dc94895b90552" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.175ex; height:3.009ex;" alt="{\displaystyle f^{IV},f^{V},f^{VI}}"></span>
+</td>
+<td><code>^{IV}</code>&#160;<code>^V</code>&#160;<code>^{VI}</code>
+</td>
+<td><code>&lt;sup&gt;IV&lt;/sup&gt;</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle ^{iv}\;{}^{v}\;{}^{vi}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mi>v</mi>
+          </mrow>
+        </msup>
+        <mspace width="thickmathspace" />
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>v</mi>
+          </mrow>
+        </msup>
+        <mspace width="thickmathspace" />
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>v</mi>
+            <mi>i</mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle ^{iv}\;{}^{v}\;{}^{vi}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1cc9879228d4fd4486c2b4e7f5ee75146b82feb7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:5.514ex; height:2.509ex;" alt="{\displaystyle ^{iv}\;{}^{v}\;{}^{vi}}"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{iv},f^{v},f^{vi}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+            <mi>v</mi>
+          </mrow>
+        </msup>
+        <mo>,</mo>
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>v</mi>
+          </mrow>
+        </msup>
+        <mo>,</mo>
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>v</mi>
+            <mi>i</mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{iv},f^{v},f^{vi}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bf5746a84fa5e376a4f4743275c7ba6ddfccdc2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.253ex; height:3.009ex;" alt="{\displaystyle f^{iv},f^{v},f^{vi}}"></span>
+</td>
+<td><code>^{iv}</code>&#160;<code>^v</code>&#160;<code>^{vi}</code>
+</td>
+<td><code>&lt;sup&gt;iv&lt;/sup&gt;</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{(~)}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo stretchy="false">(</mo>
+            <mtext>&#xA0;</mtext>
+            <mo stretchy="false">)</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{(~)}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/022864e6e1742908a4db3ab4c39b552e2a18ae86" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:2.092ex; height:2.676ex;" alt="{\displaystyle {}^{(~)}}"></span>
+</td>
+<td style="text-align: center;">⁽ ⁾
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{(4)},f^{(5)},f^{(n)}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo stretchy="false">(</mo>
+            <mn>4</mn>
+            <mo stretchy="false">)</mo>
+          </mrow>
+        </msup>
+        <mo>,</mo>
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo stretchy="false">(</mo>
+            <mn>5</mn>
+            <mo stretchy="false">)</mo>
+          </mrow>
+        </msup>
+        <mo>,</mo>
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo stretchy="false">(</mo>
+            <mi>n</mi>
+            <mo stretchy="false">)</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{(4)},f^{(5)},f^{(n)}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c91032bb7e025298a915b38d73293703d4cece19" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.194ex; height:3.176ex;" alt="{\displaystyle f^{(4)},f^{(5)},f^{(n)}}"></span>
+</td>
+<td><code>^{(  )}</code>
+</td>
+<td><code>&lt;sup&gt;(  )&lt;/sup&gt;</code>
+</td>
+<td><code>U+207D/E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\dot {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mrow>
+                <mtext>&#xA0;</mtext>
+                <mtext>&#xA0;</mtext>
+              </mrow>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\dot {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c16eb33f49fdd08e7062f9dc99906387500b7697" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle {\dot {~~}}}"></span>
+</td>
+<td style="text-align: center;">◌̇
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\dot {f}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>f</mi>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\dot {f}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/30c87207a865fc766fb126d736bbca2e75111a12" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.699ex; height:3.176ex;" alt="{\displaystyle {\dot {f}}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Newton%27s_notation" class="mw-redirect" title="Newton&#39;s notation">Newton's notation</a>
+</td>
+<td><code>\dot</code>
+</td>
+<td><code>&amp;#x0307;</code>
+</td>
+<td><code>U+0307</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\ddot {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mrow>
+                <mtext>&#xA0;</mtext>
+                <mtext>&#xA0;</mtext>
+              </mrow>
+              <mo>&#x00A8;<!-- ¨ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\ddot {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/232c14184f1951400cdd995852d8f0388e987899" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle {\ddot {~~}}}"></span>
+</td>
+<td style="text-align: center;">◌̈
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\ddot {f}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>f</mi>
+              <mo>&#x00A8;<!-- ¨ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\ddot {f}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8345a84beb079ea440e778ed5c792838cc919deb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.699ex; height:3.009ex;" alt="{\displaystyle {\ddot {f}}}"></span>
+</td>
+<td><code>\ddot</code>
+</td>
+<td><code>&amp;#x0308;</code>
+</td>
+<td><code>U+0308</code>
+</td></tr>
+<tr>
+<td rowspan="5" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle d}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>d</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle d}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span>
+</td>
+<td rowspan="5" style="text-align: center;">d
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle dx}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>d</mi>
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle dx}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/845c817e348381a13f3fad5184169ce0e021c685" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.546ex; height:2.176ex;" alt="{\displaystyle dx}"></span>
+</td>
+<td rowspan="5"><a href="/wiki/Leibniz%27s_notation" title="Leibniz&#39;s notation">Leibniz's notation</a>
+</td>
+<td rowspan="5"><code>d</code>
+</td>
+<td rowspan="5"><code>d</code>
+</td>
+<td rowspan="5"><code>U+0064</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle df}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>d</mi>
+        <mi>f</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle df}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/53181e2067a93b6bbf150042723cb059d9d2d26f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.494ex; height:2.509ex;" alt="{\displaystyle df}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\frac {df}{dx}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mfrac>
+            <mrow>
+              <mi>d</mi>
+              <mi>f</mi>
+            </mrow>
+            <mrow>
+              <mi>d</mi>
+              <mi>x</mi>
+            </mrow>
+          </mfrac>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\frac {df}{dx}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5d4eb531911adb8362a989a2c6b9e10bd46c099" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:3.382ex; height:5.509ex;" alt="{\displaystyle {\frac {df}{dx}}}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\frac {d}{dx}}f}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mfrac>
+            <mi>d</mi>
+            <mrow>
+              <mi>d</mi>
+              <mi>x</mi>
+            </mrow>
+          </mfrac>
+        </mrow>
+        <mi>f</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\frac {d}{dx}}f}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fb616f39b8f0e168ae50c28feb053646296e032c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:4.66ex; height:5.509ex;" alt="{\displaystyle {\frac {d}{dx}}f}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\frac {d^{2}}{dx^{2}}}f}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mfrac>
+            <msup>
+              <mi>d</mi>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mn>2</mn>
+              </mrow>
+            </msup>
+            <mrow>
+              <mi>d</mi>
+              <msup>
+                <mi>x</mi>
+                <mrow class="MJX-TeXAtom-ORD">
+                  <mn>2</mn>
+                </mrow>
+              </msup>
+            </mrow>
+          </mfrac>
+        </mrow>
+        <mi>f</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\frac {d^{2}}{dx^{2}}}f}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff1587792435b153078694d4c7691e65583637e9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:5.715ex; height:6.009ex;" alt="{\displaystyle {\frac {d^{2}}{dx^{2}}}f}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \partial }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \partial }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/62b4e7c1cedb9564609aefd2aa2309972f455c24" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.318ex; height:2.176ex;" alt="{\displaystyle \partial }"></span>
+</td>
+<td style="text-align: center;">∂
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \partial _{x}f}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+          </mrow>
+        </msub>
+        <mi>f</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \partial _{x}f}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61e205fae7044fcc8e7ee78d45bd60f51b77938f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.686ex; height:2.509ex;" alt="{\displaystyle \partial _{x}f}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Partial_derivative" title="Partial derivative">Partial derivative</a>
+</td>
+<td><code>\partial</code>
+</td>
+<td><code>&amp;part;</code>
+</td>
+<td><code>U+2202</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \left.{\frac {\partial }{\partial x}}\right\vert _{x}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mrow>
+            <mo fence="true" stretchy="true" symmetric="true"></mo>
+            <mrow class="MJX-TeXAtom-ORD">
+              <mfrac>
+                <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+                <mrow>
+                  <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+                  <mi>x</mi>
+                </mrow>
+              </mfrac>
+            </mrow>
+            <mo>|</mo>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \left.{\frac {\partial }{\partial x}}\right\vert _{x}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef0f42380712e6e60dc2f98c29fd4bac838c24c9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:5.303ex; height:6.009ex;" alt="{\displaystyle \left.{\frac {\partial }{\partial x}}\right\vert _{x}}"></span>
+</td>
+<td style="text-align: center;">∂ and |
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \left.{\frac {\partial f}{\partial x}}\right\vert _{x=x_{0}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mrow>
+            <mo fence="true" stretchy="true" symmetric="true"></mo>
+            <mrow class="MJX-TeXAtom-ORD">
+              <mfrac>
+                <mrow>
+                  <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+                  <mi>f</mi>
+                </mrow>
+                <mrow>
+                  <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+                  <mi>x</mi>
+                </mrow>
+              </mfrac>
+            </mrow>
+            <mo>|</mo>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo>=</mo>
+            <msub>
+              <mi>x</mi>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mn>0</mn>
+              </mrow>
+            </msub>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \left.{\frac {\partial f}{\partial x}}\right\vert _{x=x_{0}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ac6e79cad7934b3f89a181fc76edbc083432d095" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.838ex; width:8.354ex; height:6.509ex;" alt="{\displaystyle \left.{\frac {\partial f}{\partial x}}\right\vert _{x=x_{0}}}"></span>
+</td>
+<td><code>\left. \frac{\partial }{\partial x} \right\vert_x</code>
+</td>
+<td><code>&amp;part;</code> and<br /><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+2202</code> and<br /><code>U+007C</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Integral_calculus">Integral calculus</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=21" title="Edit section: Integral calculus"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1033289096"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Integral_symbol#Extensions_of_the_symbol" title="Integral symbol">Extensions of the integral symbol</a></div>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \int }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x222B;<!-- ∫ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \int }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ca732e5519cd2210bd59f1ab281b4e8f5a6a4413" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:2.194ex; height:5.676ex;" alt="{\displaystyle \int }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%AB" class="mw-redirect" title="∫">∫</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \int _{a}^{b}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msubsup>
+          <mo>&#x222B;<!-- ∫ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>a</mi>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>b</mi>
+          </mrow>
+        </msubsup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \int _{a}^{b}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7e9571aa5b00545337a3ea8ccb02acfd332bca04" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:3.402ex; height:6.343ex;" alt="{\displaystyle \int _{a}^{b}}"></span> , <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \int _{G}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mo>&#x222B;<!-- ∫ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>G</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \int _{G}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/deb0c579325ea8298b3436b36ce0ce60917a7fcf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:2.816ex; height:5.676ex;" alt="{\displaystyle \int _{G}}"></span>
+</td>
+<td><a href="/wiki/Integral" title="Integral">Integral</a>
+</td>
+<td><code>\int</code>
+</td>
+<td><code>&amp;int;</code>
+</td>
+<td><code>U+222B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \iint }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x222C;<!-- ∬ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \iint }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1534cac573e0e2b359c385293720bfca1193dde3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:3.42ex; height:5.676ex;" alt="{\displaystyle \iint }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%AC" class="mw-redirect" title="∬">∬</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \iint _{\mathcal {F}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mo>&#x222C;<!-- ∬ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi class="MJX-tex-caligraphic" mathvariant="script">F</mi>
+            </mrow>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \iint _{\mathcal {F}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/221f3adace49c759505fb03b811f06e783b8acb9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:4.113ex; height:5.676ex;" alt="{\displaystyle \iint _{\mathcal {F}}}"></span>
+</td>
+<td><a href="/wiki/Surface_integral" title="Surface integral">Surface integral</a>
+</td>
+<td><code>\iint</code>
+</td>
+<td><code>&amp;Int;</code>
+</td>
+<td><code>U+222C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \iiint }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x222D;<!-- ∭ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \iiint }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/db210c35ec1f4da3138b3ce9549a3e2810868e90" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:4.6ex; height:5.676ex;" alt="{\displaystyle \iiint }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%AD" class="mw-redirect" title="∭">∭</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \iiint _{V}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mo>&#x222D;<!-- ∭ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>V</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \iiint _{V}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbfc938ca519e2b59a30e48eb7d311776ed7c922" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:5.195ex; height:5.676ex;" alt="{\displaystyle \iiint _{V}}"></span>
+</td>
+<td><a href="/wiki/Volume_integral" title="Volume integral">Volume integral</a>
+</td>
+<td><code>\iiint</code>
+</td>
+<td><code>&amp;tint;</code>
+</td>
+<td><code>U+222D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \oint }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x222E;<!-- ∮ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \oint }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dbbea2707a4ee041ddc4da8dd11924d25aa59c89" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:2.194ex; height:5.676ex;" alt="{\displaystyle \oint }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%AE" class="mw-redirect" title="∮">∮</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \oint _{\gamma }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mo>&#x222E;<!-- ∮ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>&#x03B3;<!-- γ --></mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \oint _{\gamma }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bf41793519cc6cbc59a6049919006e3d1e2c924" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:2.417ex; height:6.009ex;" alt="{\displaystyle \oint _{\gamma }}"></span>
+</td>
+<td><a href="/wiki/Curve_integral" class="mw-redirect" title="Curve integral">Curve integral</a>
+</td>
+<td><code>\oint</code>
+</td>
+<td><code>&amp;ContourIntegral;</code>
+</td>
+<td><code>U+222E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="nowrap mw-no-invert"> <span class="mw-default-size" typeof="mw:File"><span><img alt="\oiint" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/86/OiintLaTeX.svg/25px-OiintLaTeX.svg.png" decoding="async" width="25" height="44" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/86/OiintLaTeX.svg/38px-OiintLaTeX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/86/OiintLaTeX.svg/50px-OiintLaTeX.svg.png 2x" data-file-width="204" data-file-height="354" /></span></span><span style="position:relative; right:8px; top:18px; margin-right:-8px;"></span> </span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%AF" class="mw-redirect" title="∯">∯</a>
+</td>
+<td style="text-align: center;"><span class="nowrap mw-no-invert"> <span class="mw-default-size" typeof="mw:File"><span><img alt="\oiint" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/86/OiintLaTeX.svg/25px-OiintLaTeX.svg.png" decoding="async" width="25" height="44" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/86/OiintLaTeX.svg/38px-OiintLaTeX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/86/OiintLaTeX.svg/50px-OiintLaTeX.svg.png 2x" data-file-width="204" data-file-height="354" /></span></span><span style="position:relative; right:8px; top:18px; margin-right:-8px;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gamma }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B3;<!-- γ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span></span> </span>
+</td>
+<td><a href="/wiki/Surface_integral" title="Surface integral">Surface integral</a>
+</td>
+<td><code>\oiint</code>
+</td>
+<td><code>&amp;DoubleContourIntegral;</code>
+</td>
+<td><code>U+222F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="nowrap mw-no-invert"> <span class="mw-default-size" typeof="mw:File"><span><img alt="\oiiint" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/ce/OiiintLaTeX.svg/33px-OiiintLaTeX.svg.png" decoding="async" width="33" height="44" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/ce/OiiintLaTeX.svg/49px-OiiintLaTeX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/ce/OiiintLaTeX.svg/65px-OiiintLaTeX.svg.png 2x" data-file-width="263" data-file-height="353" /></span></span><span style="position:relative; right:8px; top:18px; margin-right:-8px;"></span> </span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%B0" class="mw-redirect" title="∰">∰</a>
+</td>
+<td style="text-align: center;"><span class="nowrap mw-no-invert"> <span class="mw-default-size" typeof="mw:File"><span><img alt="\oiiint" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/ce/OiiintLaTeX.svg/33px-OiiintLaTeX.svg.png" decoding="async" width="33" height="44" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/ce/OiiintLaTeX.svg/49px-OiiintLaTeX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/ce/OiiintLaTeX.svg/65px-OiiintLaTeX.svg.png 2x" data-file-width="263" data-file-height="353" /></span></span><span style="position:relative; right:8px; top:18px; margin-right:-8px;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gamma }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B3;<!-- γ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gamma }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.262ex; height:2.176ex;" alt="{\displaystyle \gamma }"></span></span> </span>
+</td>
+<td><a href="/wiki/Volume_integral" title="Volume integral">Volume integral</a>
+</td>
+<td><code>\oiiint</code>
+</td>
+<td><code>&amp;Cconint;</code>
+</td>
+<td><code>U+2230</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Vector_calculus">Vector calculus</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=22" title="Edit section: Vector calculus"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td rowspan="3" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nabla }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2207;<!-- ∇ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nabla }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a3d0e93b78c50237f9ea83d027e4ebbdaef354b2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.176ex;" alt="{\displaystyle \nabla }"></span>
+</td>
+<td rowspan="3" style="text-align: center;">∇
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nabla f}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2207;<!-- ∇ --></mi>
+        <mi>f</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nabla f}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b7b4d6de89b52c5a5e6e1583cb63eaee263e307b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.214ex; height:2.509ex;" alt="{\displaystyle \nabla f}"></span>
+</td>
+<td><a href="/wiki/Gradient" title="Gradient">Gradient</a>
+</td>
+<td rowspan="3"><code>\nabla</code>
+</td>
+<td rowspan="3"><code>&amp;nabla;</code>
+</td>
+<td rowspan="3"><code>U+2207</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nabla \cdot F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2207;<!-- ∇ --></mi>
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nabla \cdot F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b183768919279aa71900a88445cded677cae1036" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.356ex; height:2.176ex;" alt="{\displaystyle \nabla \cdot F}"></span>
+</td>
+<td><a href="/wiki/Divergence" title="Divergence">Divergence</a>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nabla \times F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2207;<!-- ∇ --></mi>
+        <mo>&#x00D7;<!-- × --></mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nabla \times F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e9bafdd5311be423fab9c1bb03f68165cc9838a8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.517ex; height:2.176ex;" alt="{\displaystyle \nabla \times F}"></span>
+</td>
+<td><a href="/wiki/Curl_(mathematics)" title="Curl (mathematics)">Curl (mathematics)</a>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Delta }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0394;<!-- Δ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Delta }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32769037c408874e1890f77554c65f39c523ebe2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.936ex; height:2.176ex;" alt="{\displaystyle \Delta }"></span>
+</td>
+<td style="text-align: center;">∆
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Delta f}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0394;<!-- Δ --></mi>
+        <mi>f</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Delta f}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff38db24bc80b80a0a1ecfce75f3dca3fc79d54e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.214ex; height:2.509ex;" alt="{\displaystyle \Delta f}"></span>
+</td>
+<td><a href="/wiki/Laplace_operator" title="Laplace operator">Laplace operator</a>
+</td>
+<td><code>\Delta</code>
+</td>
+<td><code>&amp;Delta;</code>
+</td>
+<td><code>U+2206</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \square }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x25FB;<!-- ◻ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \square }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/455831d58fa08f311b934d324adcff89a868b4e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \square }"></span>
+</td>
+<td style="text-align: center;">□
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \square f}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x25FB;<!-- ◻ --></mi>
+        <mi>f</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \square f}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d98ade2753f1d94197b2916298e7e0bc09472375" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.087ex; height:2.509ex;" alt="{\displaystyle \square f}"></span>
+</td>
+<td><a href="/wiki/D%27Alembert_operator" title="D&#39;Alembert operator">D'Alembert operator</a>
+</td>
+<td><code>\square</code>
+</td>
+<td><code>&amp;#9633;</code>
+</td>
+<td><code>U+25A1</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Asymptotic_behaviour">Asymptotic behaviour</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=23" title="Edit section: Asymptotic behaviour"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x223C;<!-- ∼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afcc42adfcfdc24d5c4c474869e5d8eaa78d1173" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:1.343ex;" alt="{\displaystyle \sim }"></span>
+</td>
+<td style="text-align: center;">∼
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\sim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x223C;<!-- ∼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\sim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cad53095dd5ee8d2da4fdb4ce16c17c61632ebf3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.732ex; height:2.509ex;" alt="{\displaystyle f\sim }"></span>
+</td>
+<td><a href="/wiki/Asymptotic_analysis" title="Asymptotic analysis">Asymptotic analysis</a>
+</td>
+<td><code>\sim</code>
+</td>
+<td><code>&amp;sim;</code>
+</td>
+<td><code>U+223C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle o}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>o</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle o}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c1031f61947aa3d1cf3a70ec3e4904df2c3675d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle o}"></span>
+</td>
+<td style="text-align: center;">o
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\in o(g)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x2208;<!-- ∈ --></mo>
+        <mi>o</mi>
+        <mo stretchy="false">(</mo>
+        <mi>g</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\in o(g)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/245111b6b9864f48370fb9fe67fede95765b7860" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.172ex; height:2.843ex;" alt="{\displaystyle f\in o(g)}"></span>
+</td>
+<td rowspan="5"><a href="/wiki/Big_O_notation" title="Big O notation">Big O notation</a>
+</td>
+<td><code>o</code>
+</td>
+<td>
+</td>
+<td><code>U+006F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathcal {O}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-tex-caligraphic" mathvariant="script">O</mi>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathcal {O}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6ae2ed4058fb748a183d9ada8aea50a00d0c89f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.85ex; height:2.176ex;" alt="{\displaystyle {\mathcal {O}}}"></span>
+</td>
+<td style="text-align: center;">𝒪
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\in {\mathcal {O}}(g)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x2208;<!-- ∈ --></mo>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-tex-caligraphic" mathvariant="script">O</mi>
+          </mrow>
+        </mrow>
+        <mo stretchy="false">(</mo>
+        <mi>g</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\in {\mathcal {O}}(g)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6729e1b139fad340efacb8045de09604e0af9910" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.894ex; height:2.843ex;" alt="{\displaystyle f\in {\mathcal {O}}(g)}"></span>
+</td>
+<td><code>\mathcal{O}</code>
+</td>
+<td><code>&amp;Oscr;</code>
+</td>
+<td><code>U+1D4AA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Theta }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0398;<!-- Θ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Theta }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bc927b19f46d005b4720db7a0f96cd5b6f1a0d9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \Theta }"></span>
+</td>
+<td style="text-align: center;">Θ
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\in \Theta (g)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x2208;<!-- ∈ --></mo>
+        <mi mathvariant="normal">&#x0398;<!-- Θ --></mi>
+        <mo stretchy="false">(</mo>
+        <mi>g</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\in \Theta (g)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b568cfc346796dc9861dcd6b5bbb7c1e2ec1fdad" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.853ex; height:2.843ex;" alt="{\displaystyle f\in \Theta (g)}"></span>
+</td>
+<td><code>\Theta</code>
+</td>
+<td><code>&amp;Theta;</code>
+</td>
+<td><code>U+0398</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Omega }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x03A9;<!-- Ω --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Omega }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/24b0d5ca6f381068d756f6337c08e0af9d1eeb6f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \Omega }"></span>
+</td>
+<td style="text-align: center;">Ω
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\in \Omega (g)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x2208;<!-- ∈ --></mo>
+        <mi mathvariant="normal">&#x03A9;<!-- Ω --></mi>
+        <mo stretchy="false">(</mo>
+        <mi>g</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\in \Omega (g)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61c41e2239706975d34a41e24b1b64925feee5d3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.723ex; height:2.843ex;" alt="{\displaystyle f\in \Omega (g)}"></span>
+</td>
+<td><code>\Omega</code>
+</td>
+<td><code>&amp;Omega;</code>
+</td>
+<td><code>U+03A9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \omega }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C9;<!-- ω --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \omega }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.446ex; height:1.676ex;" alt="{\displaystyle \omega }"></span>
+</td>
+<td style="text-align: center;">ω
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\in \omega (g)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x2208;<!-- ∈ --></mo>
+        <mi>&#x03C9;<!-- ω --></mi>
+        <mo stretchy="false">(</mo>
+        <mi>g</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\in \omega (g)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7cd1dd42de7d8a4d4f982405d47d9948c1d94f3b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.49ex; height:2.843ex;" alt="{\displaystyle f\in \omega (g)}"></span>
+</td>
+<td><code>\omega</code>
+</td>
+<td><code>&amp;omega;</code>
+</td>
+<td><code>U+03C9</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Linear_algebra">Linear algebra</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=24" title="Edit section: Linear algebra"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Vector_operations">Vector operations</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=26" title="Edit section: Vector operations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cdot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }"></span>
+</td>
+<td style="text-align: center;">⋅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle v\cdot w}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>v</mi>
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+        <mi>w</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle v\cdot w}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fa9b140a1c90b21935ab565562563d7bebf841a3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.471ex; height:1.676ex;" alt="{\displaystyle v\cdot w}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Dot_product" title="Dot product">Dot product</a>
+<p><a href="/wiki/Inner_product_space" title="Inner product space">Inner product space</a>
+</p>
+</td>
+<td><code>\cdot</code>
+</td>
+<td><code>&amp;sdot;</code>
+</td>
+<td><code>U+22C5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (~~)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (~~)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/18d87e074628d54ad15ca27dba00e60d55e9faa0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle (~~)}"></span>
+</td>
+<td style="text-align: center;">( )
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (v,w)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mi>v</mi>
+        <mo>,</mo>
+        <mi>w</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (v,w)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe1ba70e3b2d314bc63be62afe1e5c3a80b95834" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.635ex; height:2.843ex;" alt="{\displaystyle (v,w)}"></span>
+</td>
+<td><code>(  )</code>
+</td>
+<td><code>&amp;lpar;</code> <code>&amp;rpar;</code>
+</td>
+<td><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle ~~\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle ~~\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47520dac6f5d37461df1f2fcc779f23432978028" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle \langle ~~\rangle }"></span>
+</td>
+<td style="text-align: center;">⟨ ⟩
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle v,w\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mi>v</mi>
+        <mo>,</mo>
+        <mi>w</mi>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle v,w\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ced6f40b6f52b3d974786df295649b5c00e51708" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.635ex; height:2.843ex;" alt="{\displaystyle \langle v,w\rangle }"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle v\,|\,w\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mi>v</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>w</mi>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle v\,|\,w\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5b9875061e910d1fc0cff30b2d5f1d97a9601e08" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.022ex; height:2.843ex;" alt="{\displaystyle \langle v\,|\,w\rangle }"></span>
+</td>
+<td><code>\langle \rangle</code>
+</td>
+<td><code>&amp;lang;</code> <code>&amp;rang;</code>
+</td>
+<td><code>U+27E8/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \times }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00D7;<!-- × --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \times }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \times }"></span>
+</td>
+<td style="text-align: center;">⨯
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle v\times w}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>v</mi>
+        <mo>&#x00D7;<!-- × --></mo>
+        <mi>w</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle v\times w}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9815682298c062aeb293907c59faf275b818312b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.632ex; height:1.676ex;" alt="{\displaystyle v\times w}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Cross_product" title="Cross product">Cross product</a>
+</td>
+<td><code>\times</code>
+</td>
+<td><code>&amp;times;</code>
+</td>
+<td><code>U+2A2F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [~~]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [~~]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1376a583a956836622dd69bd6fb32d91fe2a6d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle [~~]}"></span>
+</td>
+<td style="text-align: center;">&#91; &#93;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [v,w]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mi>v</mi>
+        <mo>,</mo>
+        <mi>w</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [v,w]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81599dd26b00c77086bda71448f9011328e690f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.119ex; height:2.843ex;" alt="{\displaystyle [v,w]}"></span>
+</td>
+<td><code>[  ]</code>
+</td>
+<td><code>&amp;lsqb;</code> <code>&amp;rsqb;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (~~)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (~~)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/18d87e074628d54ad15ca27dba00e60d55e9faa0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle (~~)}"></span>
+</td>
+<td style="text-align: center;">( )
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (u,v,w)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mi>u</mi>
+        <mo>,</mo>
+        <mi>v</mi>
+        <mo>,</mo>
+        <mi>w</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (u,v,w)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b14d7c6e952bb54df9f5508041b492adaa95bb4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.999ex; height:2.843ex;" alt="{\displaystyle (u,v,w)}"></span>
+</td>
+<td><a href="/wiki/Triple_product" title="Triple product">Triple product</a>
+</td>
+<td><code>(  )</code>
+</td>
+<td><code>&amp;lpar;</code> <code>&amp;rpar;</code>
+</td>
+<td><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \otimes }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2297;<!-- ⊗ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \otimes }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de29098f5a34ee296a505681a0d5e875070f2aea" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \otimes }"></span>
+</td>
+<td style="text-align: center;">⊗
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle v\otimes w}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>v</mi>
+        <mo>&#x2297;<!-- ⊗ --></mo>
+        <mi>w</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle v\otimes w}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/710c0ffa6ca79aa8934b9a477f5e675068d63e9c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.632ex; height:2.176ex;" alt="{\displaystyle v\otimes w}"></span>
+</td>
+<td><a href="/wiki/Dyadic_product" class="mw-redirect" title="Dyadic product">Dyadic product</a>
+</td>
+<td><code>\otimes</code>
+</td>
+<td><code>&amp;otimes;</code>
+</td>
+<td><code>U+2297</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \wedge }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2227;<!-- ∧ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \wedge }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1caa4004cb216ef2930bb12fe805a76870caed94" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \wedge }"></span>
+</td>
+<td style="text-align: center;">∧
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle v\wedge w}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>v</mi>
+        <mo>&#x2227;<!-- ∧ --></mo>
+        <mi>w</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle v\wedge w}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/20fb44fa13d847a83fb6a68e45fefcbce9b1d8bd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.374ex; height:2.009ex;" alt="{\displaystyle v\wedge w}"></span>
+</td>
+<td><a href="/wiki/Exterior_algebra" title="Exterior algebra">Exterior algebra</a>
+</td>
+<td><code>\wedge</code>
+</td>
+<td><code>&amp;and;</code>
+</td>
+<td><code>U+2227</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |~~|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |~~|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29900ebd10692214f66b27b664618fe5b23c369d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle |~~|}"></span>
+</td>
+<td style="text-align: center;">| |
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |v|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mi>v</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |v|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5e7a8eb85cb19ef254983f23070ac59429d5e8f7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.421ex; height:2.843ex;" alt="{\displaystyle |v|}"></span>
+</td>
+<td><a href="/wiki/Euclidean_norm" class="mw-redirect" title="Euclidean norm">Euclidean norm</a>
+</td>
+<td><code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \|~~\|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \|~~\|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fe83cd18c2ffb7b4141165a763a26deb1b9fb11" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.486ex; height:2.843ex;" alt="{\displaystyle \|~~\|}"></span>
+</td>
+<td style="text-align: center;">‖
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \|v\|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+        <mi>v</mi>
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \|v\|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/31b9981ac84e8a1b538a23de2e99a53bc6e4766d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.453ex; height:2.843ex;" alt="{\displaystyle \|v\|}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lVert v\rVert }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+        <mi>v</mi>
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lVert v\rVert }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e373cfcd31951e395710bc6b431120c3c3931745" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.453ex; height:2.843ex;" alt="{\displaystyle \lVert v\rVert }"></span>
+</td>
+<td><a href="/wiki/Norm_(mathematics)" title="Norm (mathematics)">Norm (mathematics)</a>
+</td>
+<td><code>\Vert</code>,&#160;<code>\|</code><br /><code>\lVert</code>&#160;<code>\rVert</code>
+</td>
+<td><code>&amp;Vert;</code>
+</td>
+<td><code>U+2016</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3aa6fc5ed62bb17235b380c97efa1a33b48cf60" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\hat {~}}}"></span>
+</td>
+<td style="text-align: center;">&#x302;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {v}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>v</mi>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {v}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2790b6cafab4cc0f98a9ae8beb550947e60062f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.227ex; height:2.176ex;" alt="{\displaystyle {\hat {v}}}"></span>
+</td>
+<td><a href="/wiki/Unit_vector" title="Unit vector">Unit vector</a>
+</td>
+<td><code>\hat{}</code>
+</td>
+<td><code>&amp;#x302;</code>
+</td>
+<td><code>U+0302</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Matrix_operations">Matrix operations</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=27" title="Edit section: Matrix operations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cdot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8B%85" class="extiw" title="wiktionary:⋅">⋅</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\cdot B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\cdot B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75a90e903f21f11a0f4ab3caca1e6943ba7a9849" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.186ex; height:2.176ex;" alt="{\displaystyle A\cdot B}"></span>
+</td>
+<td><a href="/wiki/Matrix_multiplication" title="Matrix multiplication">Matrix multiplication</a>
+</td>
+<td><code>\cdot</code>
+</td>
+<td><code>&amp;sdot;</code>
+</td>
+<td><code>U+22C5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \circ }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2218;<!-- ∘ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%98" class="extiw" title="wiktionary:∘">∘</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\circ B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2218;<!-- ∘ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\circ B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c341d3106d2763836b32f992b74e73f4cef0d24d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.702ex; height:2.176ex;" alt="{\displaystyle A\circ B}"></span>
+</td>
+<td><a href="/wiki/Hadamard_product_(matrices)" title="Hadamard product (matrices)">Hadamard product</a>
+</td>
+<td><code>\circ</code>
+</td>
+<td><code>&amp;SmallCircle;</code>
+</td>
+<td><code>U+2218</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \oslash }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2298;<!-- ⊘ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \oslash }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3f2a7f8b798cc139bc48fef4998a3986a7dcc6a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \oslash }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%98" class="extiw" title="wiktionary:⊘">⊘</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\oslash B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2298;<!-- ⊘ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\oslash B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e987fa3cd94d8f330cb80aa2396b308233b9f20" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.348ex; height:2.343ex;" alt="{\displaystyle A\oslash B}"></span>
+</td>
+<td><a href="/wiki/Hadamard_division_(matrices)" class="mw-redirect" title="Hadamard division (matrices)">Hadamard division</a>
+</td>
+<td><code>\oslash</code>
+</td>
+<td><code>&amp;osol;</code>
+</td>
+<td><code>U+2298</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle *}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2217;<!-- ∗ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle *}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8e9972f426d9e07855984f73ee195a21dbc21755" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.079ex; margin-bottom: -0.25ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle *}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/*" class="extiw" title="wiktionary:*">*</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A*B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2217;<!-- ∗ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A*B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/891a68639ed3036aa0fab10090ce54670d92de02" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.702ex; height:2.176ex;" alt="{\displaystyle A*B}"></span>
+</td>
+<td><a href="/wiki/Khatri-Rao_product" class="mw-redirect" title="Khatri-Rao product">Khatri-Rao product</a>
+</td>
+<td><code>*</code>
+</td>
+<td><code>&amp;ast;</code>
+</td>
+<td><code>U+002A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \otimes }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2297;<!-- ⊗ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \otimes }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de29098f5a34ee296a505681a0d5e875070f2aea" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \otimes }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%97" class="extiw" title="wiktionary:⊗">⊗</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\otimes B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2297;<!-- ⊗ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\otimes B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/887ed3ce13b460df337cda66497515383ded3e5d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.348ex; height:2.343ex;" alt="{\displaystyle A\otimes B}"></span>
+</td>
+<td><a href="/wiki/Kronecker_product" title="Kronecker product">Kronecker product</a>
+</td>
+<td><code>\otimes</code>
+</td>
+<td><code>&amp;otimes;</code>
+</td>
+<td><code>U+2297</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\intercal }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x22BA;<!-- ⊺ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\intercal }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91fb63479c088cc851aec2d4228c4f2a40ebb260" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.146ex; height:2.176ex;" alt="{\displaystyle {}^{\intercal }}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%BA" class="extiw" title="wiktionary:⊺">⊺</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\intercal }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x22BA;<!-- ⊺ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\intercal }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e2694e62c5ad9c0df26023073a78b97bae23aa5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.889ex; height:2.343ex;" alt="{\displaystyle A^{\intercal }}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Transposed_matrix" class="mw-redirect" title="Transposed matrix">Transposed matrix</a>
+</td>
+<td><code>^\intercal</code>
+</td>
+<td><code>&amp;intercal;</code>
+</td>
+<td><code>U+22BA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\top }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi mathvariant="normal">&#x22A4;<!-- ⊤ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\top }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bbd6d9537e60be722c4093bd7c6e3cf655863e3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.509ex;" alt="{\displaystyle {}^{\top }}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%A4" class="extiw" title="wiktionary:⊤">⊤</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\top }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi mathvariant="normal">&#x22A4;<!-- ⊤ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\top }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e39088f8137b6309ed7585fc60f3bfe4f62bb0d3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.254ex; height:2.676ex;" alt="{\displaystyle A^{\top }}"></span>
+</td>
+<td><code>^\top</code>
+</td>
+<td><code>&amp;top;</code>
+</td>
+<td><code>U+22A4</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\mathrm {T} }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi mathvariant="normal">T</mi>
+            </mrow>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\mathrm {T} }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4dd584abaa588ec4491b536ba6a76e06084373d6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.419ex; height:2.509ex;" alt="{\displaystyle {}^{\mathrm {T} }}"></span>
+</td>
+<td style="text-align: center;">T
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\mathrm {T} }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi mathvariant="normal">T</mi>
+            </mrow>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\mathrm {T} }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0966b7ada93c12ff7d306496f224f7b3465a66d0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.162ex; height:2.676ex;" alt="{\displaystyle A^{\mathrm {T} }}"></span>
+</td>
+<td><code>^{\mathrm T}</code>
+</td>
+<td>
+</td>
+<td><code>U+0054</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/083d1bbfe34ad3c8f02487c7a392d2e55b0ee75a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle {}^{\ast }}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/*" class="extiw" title="wiktionary:*">*</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5541bfa07743be995242c892c344395e672d6fa2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.797ex; height:2.343ex;" alt="{\displaystyle A^{\ast }}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Conjugate_transpose" title="Conjugate transpose">Conjugate transpose</a>
+</td>
+<td><code>^\ast</code>
+</td>
+<td><code>&amp;ast;</code>
+</td>
+<td><code>U+002A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\dagger }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2020;<!-- † --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\dagger }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57a2840eab7c884f7b16720d048aa7841ad5913a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0.962ex; height:2.509ex;" alt="{\displaystyle {}^{\dagger }}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%80%A0" class="extiw" title="wiktionary:†">†</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\dagger }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2020;<!-- † --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\dagger }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/253906923e0ca67ef31e4e2d99b9783ba62bebc5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.705ex; height:2.676ex;" alt="{\displaystyle A^{\dagger }}"></span>
+</td>
+<td><code>^\dagger</code>
+</td>
+<td><code>&amp;dagger;</code>
+</td>
+<td><code>U+2020</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\mathrm {H} }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi mathvariant="normal">H</mi>
+            </mrow>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\mathrm {H} }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d2b76d8357f408c8c6198d4e23f88b64815ff005" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.465ex; height:2.509ex;" alt="{\displaystyle {}^{\mathrm {H} }}"></span>
+</td>
+<td style="text-align: center;">H
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\mathrm {H} }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi mathvariant="normal">H</mi>
+            </mrow>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\mathrm {H} }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d03d2711d99094590314d096a92a51a89f3e5afa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.208ex; height:2.676ex;" alt="{\displaystyle A^{\mathrm {H} }}"></span>
+</td>
+<td><code>^H</code>
+</td>
+<td>
+</td>
+<td><code>U+0048</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{-1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2212;<!-- − --></mo>
+            <mn>1</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{-1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/547b5e7c706c2a159d326f4ba95537622fd7ce16" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:2.333ex; height:2.509ex;" alt="{\displaystyle {}^{-1}}"></span>
+</td>
+<td style="text-align: center;">⁻
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{-1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2212;<!-- − --></mo>
+            <mn>1</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{-1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ba3a7118652cffd5de466dc439ee9184371d50" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.076ex; height:2.676ex;" alt="{\displaystyle A^{-1}}"></span>
+</td>
+<td><a href="/wiki/Inverse_matrix" class="mw-redirect" title="Inverse matrix">Inverse matrix</a>
+</td>
+<td><code>^{-1}</code>
+</td>
+<td>
+</td>
+<td><code>U+207B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{+}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>+</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{+}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6f326d59d26041124ebf409e7b2a95e98015bc1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.343ex;" alt="{\displaystyle {}^{+}}"></span>
+</td>
+<td style="text-align: center;">+
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{+}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>+</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{+}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b380a5ff4e2d7d22a0dc1aea46e7ecba61f95fe6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.254ex; height:2.509ex;" alt="{\displaystyle A^{+}}"></span>
+</td>
+<td><a href="/wiki/Moore%E2%80%93Penrose_pseudoinverse" class="mw-redirect" title="Moore–Penrose pseudoinverse">Moore–Penrose pseudoinverse</a>
+</td>
+<td><code>^+</code>
+</td>
+<td><code>&amp;plus;</code>
+</td>
+<td><code>U+002B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |~~|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |~~|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29900ebd10692214f66b27b664618fe5b23c369d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle |~~|}"></span>
+</td>
+<td style="text-align: center;">| A |
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |A|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mi>A</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |A|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/648fce92f29d925f04d39244ccfe435320dfc6de" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.037ex; height:2.843ex;" alt="{\displaystyle |A|}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Determinant" title="Determinant">Determinant</a>
+</td>
+<td><code>|</code>, <code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \det }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">det</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \det }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/742df4b24488fb61ad6fc7b4cf229a9168f08690" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.23ex; height:2.176ex;" alt="{\displaystyle \det }"></span>
+</td>
+<td style="text-align: center;">det
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \det A}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">det</mo>
+        <mi>A</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \det A}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5f2d8fe180a2f848cf11e82a535b193cfe718742" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.36ex; height:2.176ex;" alt="{\displaystyle \det A}"></span>
+</td>
+<td><code>\det</code>
+</td>
+<td><code>det</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \|~~\|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \|~~\|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fe83cd18c2ffb7b4141165a763a26deb1b9fb11" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.486ex; height:2.843ex;" alt="{\displaystyle \|~~\|}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%80%96" class="extiw" title="wiktionary:‖">‖</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \|A\|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+        <mi>A</mi>
+        <mo fence="false" stretchy="false">&#x2016;<!-- ‖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \|A\|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7dee3aff0e214cf2de648b54182a2196cb8ae61b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.068ex; height:2.843ex;" alt="{\displaystyle \|A\|}"></span>
+</td>
+<td><a href="/wiki/Matrix_norm" title="Matrix norm">Matrix norm</a>
+</td>
+<td><code>\|</code>, <code>\Vert</code>
+</td>
+<td><code>&amp;Vert;</code>
+</td>
+<td><code>U+2016</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Vector_spaces">Vector spaces</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=28" title="Edit section: Vector spaces"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle +}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>+</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle +}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle +}"></span>
+</td>
+<td style="text-align: center;">+
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V+W}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>V</mi>
+        <mo>+</mo>
+        <mi>W</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V+W}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e957329a0cd94e689020b49b01651eda6b33596" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.063ex; height:2.343ex;" alt="{\displaystyle V+W}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Direct_sum_of_modules" title="Direct sum of modules">Direct sum of modules</a>
+<p><a href="/wiki/Linear_subspace" title="Linear subspace">Linear subspace</a>
+</p>
+</td>
+<td><code>+</code>
+</td>
+<td><code>&amp;plus;</code>
+</td>
+<td><code>U+002B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \oplus }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2295;<!-- ⊕ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \oplus }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8b16e2bdaefee9eed86d866e6eba3ac47c710f60" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \oplus }"></span>
+</td>
+<td style="text-align: center;">⊕
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V\oplus W}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>V</mi>
+        <mo>&#x2295;<!-- ⊕ --></mo>
+        <mi>W</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V\oplus W}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf54248f02160a74c4384840a436a2385b0d0ffe" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.063ex; height:2.343ex;" alt="{\displaystyle V\oplus W}"></span>
+</td>
+<td><code>\oplus</code>
+</td>
+<td><code>&amp;oplus;</code>
+</td>
+<td><code>U+2295</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \times }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00D7;<!-- × --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \times }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \times }"></span>
+</td>
+<td style="text-align: center;">⨯
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V\times W}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>V</mi>
+        <mo>&#x00D7;<!-- × --></mo>
+        <mi>W</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V\times W}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6b9b65a794c51f2c6b0396c9d01d3bbe48f54fa4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.063ex; height:2.176ex;" alt="{\displaystyle V\times W}"></span>
+</td>
+<td><a href="/wiki/Direct_product" title="Direct product">Direct product</a>
+</td>
+<td><code>\times</code>
+</td>
+<td><code>&amp;times;</code>
+</td>
+<td><code>U+2A2F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \otimes }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2297;<!-- ⊗ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \otimes }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de29098f5a34ee296a505681a0d5e875070f2aea" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \otimes }"></span>
+</td>
+<td style="text-align: center;">⊗
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V\otimes W}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>V</mi>
+        <mo>&#x2297;<!-- ⊗ --></mo>
+        <mi>W</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V\otimes W}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0d8e48e05a95d9c68f80f49e3d509ba9de064c9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.063ex; height:2.343ex;" alt="{\displaystyle V\otimes W}"></span>
+</td>
+<td><a href="/wiki/Tensor_product" title="Tensor product">Tensor product</a>
+</td>
+<td><code>\otimes</code>
+</td>
+<td><code>&amp;otimes;</code>
+</td>
+<td><code>U+2297</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle /}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle /}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da0c4de1fba637d9799f6c64a6c77bf016d0ce1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle /}"></span>
+</td>
+<td style="text-align: center;">/
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V\,/\,U}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>V</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>U</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V\,/\,U}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abd662ba27232e3a0b84a58778aa17541cf6b196" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.506ex; height:2.843ex;" alt="{\displaystyle V\,/\,U}"></span>
+</td>
+<td><a href="/wiki/Quotient_space_(linear_algebra)" title="Quotient space (linear algebra)">Quotient space (linear algebra)</a>
+</td>
+<td><code>/</code>
+</td>
+<td><code>&amp;frasl;</code>
+</td>
+<td><code>U+002F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\perp }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x22A5;<!-- ⊥ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\perp }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/941ca9b4fd2b2dc4feefdd81b9c103275463274c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.509ex;" alt="{\displaystyle {}^{\perp }}"></span>
+</td>
+<td style="text-align: center;">⟂
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle U^{\perp }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>U</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x22A5;<!-- ⊥ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle U^{\perp }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4434666f7dbb869a7d44a9d69f0ba407c4ea8b4b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.352ex; height:2.676ex;" alt="{\displaystyle U^{\perp }}"></span>
+</td>
+<td><a href="/wiki/Orthogonal_complement" title="Orthogonal complement">Orthogonal complement</a>
+</td>
+<td><code>^\perp</code>
+</td>
+<td><code>&amp;perp;</code>
+</td>
+<td><code>U+27C2</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/083d1bbfe34ad3c8f02487c7a392d2e55b0ee75a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle {}^{\ast }}"></span>
+</td>
+<td style="text-align: center;">*
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>V</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4939f83769e42ba646fd8995b3b16eb6a58c6a57" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.971ex; height:2.343ex;" alt="{\displaystyle V^{\ast }}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Dual_space" title="Dual space">Dual space</a>
+</td>
+<td><code>^\ast</code>
+</td>
+<td><code>&amp;lowast;</code>
+</td>
+<td><code>U+002A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{0}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mn>0</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{0}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c28cc08b25cbdc6eb83151f89247f344b2eb6242" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.509ex;" alt="{\displaystyle {}^{0}}"></span>
+</td>
+<td style="text-align: center;">0
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X^{0}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>X</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mn>0</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X^{0}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e7ed80088727b5ba6be077bad40afbd304e84de" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.051ex; height:2.676ex;" alt="{\displaystyle X^{0}}"></span>
+</td>
+<td><code>^0</code>
+</td>
+<td>
+</td>
+<td><code>U+0030</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle ~~\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle ~~\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47520dac6f5d37461df1f2fcc779f23432978028" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle \langle ~~\rangle }"></span>
+</td>
+<td style="text-align: center;">⟨ ⟩
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle X\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mi>X</mi>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle X\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef37e98f69e4c9e744a0d712fe39eb53ef467f7a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.789ex; height:2.843ex;" alt="{\displaystyle \langle X\rangle }"></span>
+</td>
+<td><a href="/wiki/Linear_hull" class="mw-redirect" title="Linear hull">Linear hull</a>
+</td>
+<td><code>\langle</code> <code>\rangle</code>
+</td>
+<td><code>&amp;lang;</code> <code>&amp;rang;</code>
+</td>
+<td><code>U+27E8/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \dim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>dim</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \dim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/66115c83c4bb19068adb45849f0f596647c18f2e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.875ex; height:2.176ex;" alt="{\displaystyle \dim }"></span>
+</td>
+<td style="text-align: center;">dim
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \dim X}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>dim</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>X</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \dim X}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/071703f6d61de5ade8ee52c203f00b2ae4301589" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.242ex; height:2.176ex;" alt="{\displaystyle \dim X}"></span>
+</td>
+<td><a href="/wiki/Dimension_(linear_algebra)" class="mw-redirect" title="Dimension (linear algebra)">Dimension (linear algebra)</a>
+</td>
+<td><code>\dim</code>
+</td>
+<td><code>dim</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ker }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>ker</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ker }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/424208c71a55d9fefeadcfadf3ec368d4115119b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.171ex; height:2.176ex;" alt="{\displaystyle \ker }"></span>
+</td>
+<td style="text-align: center;">ker
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ker L}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>ker</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>L</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ker L}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/945027cc17b314dc87c356e55f42d338f3d81dfa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.141ex; height:2.176ex;" alt="{\displaystyle \ker L}"></span>
+</td>
+<td><a href="/wiki/Kernel_(linear_algebra)" title="Kernel (linear algebra)">Kernel (linear algebra)</a>
+</td>
+<td><code>\ker</code>
+</td>
+<td><code>ker</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Pr }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">Pr</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Pr }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/50be466e52dac236652eedbbfb5660e570f2a5e1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.494ex; height:2.176ex;" alt="{\displaystyle \Pr }"></span>
+</td>
+<td style="text-align: center;">Pr
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Pr {}_{1}(x,y)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">Pr</mo>
+        <msub>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mn>1</mn>
+          </mrow>
+        </msub>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo>,</mo>
+        <mi>y</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Pr {}_{1}(x,y)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/debf3e76619e5884c282e7b4679aa4afe51d02d8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.264ex; height:2.843ex;" alt="{\displaystyle \Pr {}_{1}(x,y)}"></span>
+</td>
+<td><a href="/wiki/Projection_(linear_algebra)" title="Projection (linear algebra)">Projection (linear algebra)</a>
+</td>
+<td><code>\Pr</code>
+</td>
+<td><code>Pr</code>
+</td>
+<td>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Functional_analysis">Functional analysis</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=29" title="Edit section: Functional analysis"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}'}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mo>&#x2032;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}'}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ea6544b21c7df37230227c33a42eda9aa3f078e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0.685ex; height:2.343ex;" alt="{\displaystyle {}&#039;}"></span>
+</td>
+<td style="text-align: center;">′
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V'}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>V</mi>
+          <mo>&#x2032;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V'}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff31fe992a31b4c954a933f1be91e2739a1c0ae7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.602ex; height:2.509ex;" alt="{\displaystyle V&#039;}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Dual_space" title="Dual space">Dual space</a>
+</td>
+<td rowspan="2"><code>^\prime</code>
+</td>
+<td rowspan="2"><code>&amp;prime;</code>
+</td>
+<td rowspan="2"><code>U+2032/3</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mo>&#x2033;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/077247b5d5be3cd9f268e631dfe4388dc378f844" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.137ex; height:2.343ex;" alt="{\displaystyle {}&#039;&#039;}"></span>
+</td>
+<td style="text-align: center;">″
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V''}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>V</mi>
+          <mo>&#x2033;</mo>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V''}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2ea7ebf65d35e0a978e3817b2e37081a202b37ba" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.054ex; height:2.509ex;" alt="{\displaystyle V&#039;&#039;}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3aa6fc5ed62bb17235b380c97efa1a33b48cf60" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\hat {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̂
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {X}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>X</mi>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {X}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/acc59ad6d9a06d55b96b65beb0fdfc89acc1e40e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.98ex; height:2.843ex;" alt="{\displaystyle {\hat {X}}}"></span>
+</td>
+<td><a href="/wiki/Complete_metric_space" title="Complete metric space">Complete metric space</a>
+</td>
+<td><code>\hat{}</code>
+</td>
+<td>
+</td>
+<td><code>U+0302</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \hookrightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x21AA;<!-- ↪ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \hookrightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d290ec2c8429155a80b5c447e7aa7c5f231ecd3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.616ex; height:1.843ex;" alt="{\displaystyle \hookrightarrow }"></span>
+</td>
+<td style="text-align: center;">↪
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X\hookrightarrow Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>X</mi>
+        <mo stretchy="false">&#x21AA;<!-- ↪ --></mo>
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X\hookrightarrow Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5d77a675aa10c404233db9c24ab7b9dfbcde726" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.66ex; height:2.176ex;" alt="{\displaystyle X\hookrightarrow Y}"></span>
+</td>
+<td><a href="/wiki/Embedding" title="Embedding">Embedding</a>
+</td>
+<td><small><code>\hookrightarrow</code></small>
+</td>
+<td>
+</td>
+<td><code>U+21AA</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Logic">Logic</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=30" title="Edit section: Logic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1033289096"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/List_of_logic_symbols" title="List of logic symbols">List of logic symbols</a>, <a href="/wiki/Wikipedia:WikiProject_Logic/Standards_for_notation" title="Wikipedia:WikiProject Logic/Standards for notation">Wikipedia:WikiProject Logic/Standards for notation</a>, and <a href="/wiki/MOS:MATH#TONE" class="mw-redirect" title="MOS:MATH">MOS:MATH §&#160;TONE</a></div>
+<p>The <a href="/wiki/MOS:MATH#TONE" class="mw-redirect" title="MOS:MATH">current Wikipedia guidelines</a> advise against unnecessary use of ∀, ∃, and ⇔ and instead recommend writing out "for all", "there exists", and "if and only if." The same is true of abbreviations such as "<a href="/wiki/If_and_only_if" title="If and only if">iff</a>", "s.t.", and "<a href="/wiki/Without_loss_of_generality" title="Without loss of generality">WLOG</a>". 
+</p>
+<h3><span class="mw-headline" id="Equality_signs">Equality signs</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=31" title="Edit section: Equality signs"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<style data-mw-deduplicate="TemplateStyles:r1134653256">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style>
+<div class="side-box-flex">
+<div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/40px-Wiktionary-logo-en-v2.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/60px-Wiktionary-logo-en-v2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/80px-Wiktionary-logo-en-v2.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span></div>
+<div class="side-box-text plainlist">Look up <i><b><a href="https://en.wiktionary.org/wiki/Appendix:Variations_of_%22%3D%22" class="extiw" title="wiktionary:Appendix:Variations of &quot;=&quot;">Appendix:Variations of "="</a></b></i>, <i><b><a href="https://en.wiktionary.org/wiki/Appendix:Variations_of_%22%E2%89%A1%22" class="extiw" title="wiktionary:Appendix:Variations of &quot;≡&quot;">Appendix:Variations of "≡"</a></b></i>, or <i><b><a href="https://en.wiktionary.org/wiki/Appendix:Variations_of_the_number_sign" class="extiw" title="wiktionary:Appendix:Variations of the number sign">Appendix:Variations of the number sign</a></b></i> in Wiktionary, the free dictionary.</div></div>
+</div>
+<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1033289096"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Equals_sign" title="Equals sign">Equals sign</a></div>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle =}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>=</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle =}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/505a4ceef454c69dffd23792c84b90f488543743" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:1.343ex;" alt="{\displaystyle =}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%3D" class="mw-redirect" title="=">=</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a=b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>=</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a=b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1956b03d1314c7071ac1f45ed7b1e29422dcfcc4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a=b}"></span>
+</td>
+<td><a href="/wiki/Equality_(mathematics)" title="Equality (mathematics)">Equality</a>
+</td>
+<td><code>=</code>
+</td>
+<td><code>&amp;equals;</code>
+</td>
+<td><code>U+003D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \#}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0023;<!-- # --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \#}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f72e8254fd59fa4060c66c9310acbaf6df2ce894" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.936ex; height:2.509ex;" alt="{\displaystyle \#}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/Number_sign" title="Number sign">#</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\,\#\,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="thinmathspace" />
+        <mi mathvariant="normal">&#x0023;<!-- # --></mi>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\,\#\,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/023918cc863c8abba41e118566c923f3ccc799ea" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.937ex; height:2.509ex;" alt="{\displaystyle a\,\#\,b}"></span>
+</td>
+<td><a href="/wiki/Apartness_relation" title="Apartness relation">Apartness relation</a>
+</td>
+<td><code>\#</code>
+</td>
+<td><code>&amp;num;</code>
+</td>
+<td><code>U+0023</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \neq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2260;<!-- ≠ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \neq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38cc3d8d8c60120bc2f905bae4d5e10d8ad6a3f4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.676ex;" alt="{\displaystyle \neq }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%A0" class="extiw" title="wiktionary:≠">≠</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\neq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2260;<!-- ≠ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\neq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3bf17ce351d08f2b7a3e54ba3aa2132f260c84f6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.676ex;" alt="{\displaystyle a\neq b}"></span>
+</td>
+<td><a href="/wiki/Inequality_(mathematics)" title="Inequality (mathematics)">Inequality</a>
+</td>
+<td><code>\neq</code><br /><code>\ne</code><br /><code>\not=</code>
+</td>
+<td><code>&amp;ne;</code>
+</td>
+<td><code>U+2260</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \equiv }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2261;<!-- ≡ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \equiv }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4c5c34250859b6f6d2a77b4e8a2ceaa90638076d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.081ex; margin-bottom: -0.253ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \equiv }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/Identity_(mathematics)" title="Identity (mathematics)">≡</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\equiv b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2261;<!-- ≡ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\equiv b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/859529d640f85a2c3bf2847f61a842ba3a5753ee" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\equiv b}"></span>
+</td>
+<td><a href="/wiki/Identity_(mathematics)" title="Identity (mathematics)">Identity</a>
+</td>
+<td><code>\equiv</code>
+</td>
+<td><code>&amp;equiv;</code>
+</td>
+<td><code>U+2261</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \approx }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2248;<!-- ≈ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \approx }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f58f4c2b73283ce8a5ad28fb3746f2a8c998789" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \approx }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%88" class="extiw" title="wiktionary:≈">≈</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\approx b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2248;<!-- ≈ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\approx b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f3e2216603463c05c922065f6c0af270fa35a08" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\approx b}"></span>
+</td>
+<td><a href="/wiki/Approximation" title="Approximation">Approximation</a>
+</td>
+<td><code>\approx</code>
+</td>
+<td><code>&amp;asymp;</code>
+</td>
+<td><code>U+2248</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x223C;<!-- ∼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afcc42adfcfdc24d5c4c474869e5d8eaa78d1173" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:1.343ex;" alt="{\displaystyle \sim }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%BC" class="extiw" title="wiktionary:∼">∼</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x223C;<!-- ∼ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d60a7ec044aafda7685b062b023b95b2e3f9e252" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\sim b}"></span>
+</td>
+<td><a href="/wiki/Equivalence_class" title="Equivalence class">Equivalence class</a>
+</td>
+<td><code>\sim</code>
+</td>
+<td><code>&amp;sim;</code>
+</td>
+<td><code>U+223C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \propto }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x221D;<!-- ∝ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \propto }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e3a55007ba2f092d6cafe6d33598e0608b81150" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.676ex;" alt="{\displaystyle \propto }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%9D" class="extiw" title="wiktionary:∝">∝</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\propto b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x221D;<!-- ∝ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\propto b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8e90976b8b7673543d3508b6718cf2f135d8a834" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\propto b}"></span>
+</td>
+<td><a href="/wiki/Proportionality_(mathematics)" title="Proportionality (mathematics)">Proportionality</a>
+</td>
+<td><code>\propto</code>
+</td>
+<td><code>&amp;prop;</code>
+</td>
+<td><code>U+221D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\widehat {=}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>=</mo>
+              <mo>&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\widehat {=}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b61ab6c77746439e61a30b46013c5d98bfeef490" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.645ex; width:1.808ex; height:2.343ex;" alt="{\displaystyle {\widehat {=}}}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%99" class="extiw" title="wiktionary:≙">≙</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\,{\widehat {=}}\,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>=</mo>
+              <mo>&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\,{\widehat {=}}\,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d72c67b6fef450b6d75e6ae7f05465221e0193c8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.81ex; height:2.343ex;" alt="{\displaystyle a\,{\widehat {=}}\,b}"></span>
+</td>
+<td><a href="/wiki/Bijection" title="Bijection">Bijection</a>
+</td>
+<td><code>\widehat{=}</code>
+</td>
+<td><code>&amp;wedgeq;</code>
+</td>
+<td><code>U+2259</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overset {?}{=}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mo>=</mo>
+            <mo>?</mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overset {?}{=}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/69914e8c38ba666f48840bb7688c8e694352e6bb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:3.176ex;" alt="{\displaystyle {\overset {?}{=}}}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%9F" class="extiw" title="wiktionary:≟">≟</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\,{\overset {?}{=}}\,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mo>=</mo>
+            <mo>?</mo>
+          </mover>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\,{\overset {?}{=}}\,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13af614da4f5c05da09e16cd6230a45274287530" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.81ex; height:3.343ex;" alt="{\displaystyle a\,{\overset {?}{=}}\,b}"></span>
+</td>
+<td><a href="/wiki/Question_mark#Mathematics" title="Question mark">Asks "is it equal to"</a>
+</td>
+<td><code>\overset{?}{=}</code>
+</td>
+<td><code>&amp;questeq;</code>
+</td>
+<td><code>U+225F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overset {\operatorname {def} }{=}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mo>=</mo>
+            <mi>def</mi>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overset {\operatorname {def} }{=}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37734fd4ac08e0354a5a4f7c2e0fb972839611ae" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-right: -0.108ex; margin-bottom: -0.478ex; width:2.256ex; height:3.176ex;" alt="{\displaystyle {\overset {\operatorname {def} }{=}}}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%9D" class="extiw" title="wiktionary:≝">≝</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\,{\overset {\operatorname {def} }{=}}\,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mo>=</mo>
+            <mi>def</mi>
+          </mover>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\,{\overset {\operatorname {def} }{=}}\,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/688cca8c79dd5eca76bc447acf82160e0bb573ed" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.149ex; height:3.343ex;" alt="{\displaystyle a\,{\overset {\operatorname {def} }{=}}\,b}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Equality_(mathematics)" title="Equality (mathematics)">Equal to</a> by definition
+</td>
+<td><code>\overset{\operatorname{def}}{=}</code>
+</td>
+<td><code>&amp;#x225D;</code>
+</td>
+<td><code>U+225D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \triangleq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x225C;<!-- ≜ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \triangleq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e269c30d01f6f7a66f526e42e083ac3cf3cafe19" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:2.343ex;" alt="{\displaystyle \triangleq }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%9C" class="extiw" title="wiktionary:≜">≜</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\,\triangleq \,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="thinmathspace" />
+        <mo>&#x225C;<!-- ≜ --></mo>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\,\triangleq \,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/39e95b5a6fdb595ca7bb4f2294c72333c363249a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.1ex; height:2.509ex;" alt="{\displaystyle a\,\triangleq \,b}"></span>
+</td>
+<td><code>\triangleq</code>
+</td>
+<td><code>&amp;trie;</code>
+</td>
+<td><code>U+225C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle :=}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>:=</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle :=}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b9a320a04a814e22f58952141fd0d92cd5ac402" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.455ex; height:1.676ex;" alt="{\displaystyle :=}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%94" class="extiw" title="wiktionary:≔">≔</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\,:=\,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="thinmathspace" />
+        <mo>:=</mo>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\,:=\,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/983ae20efb4be638c20b51542fbef44d612454e8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.747ex; height:2.176ex;" alt="{\displaystyle a\,:=\,b}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Assignment_(computer_science)" title="Assignment (computer science)">Assignment</a>
+</td>
+<td><code>:=</code>
+</td>
+<td><code>&amp;coloneq;</code>
+</td>
+<td><code>U+2254</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle =:}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>=:</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle =:}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0cd24a7add0c663fd86b83fd742803ac5b39b22" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.455ex; height:1.676ex;" alt="{\displaystyle =:}"></span>
+</td>
+<td style="text-align: center;">≕
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\,=:\,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mspace width="thinmathspace" />
+        <mo>=:</mo>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\,=:\,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9bc0577bae7812dd8f5c6aef9a01fb7e4cbba6fc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.747ex; height:2.176ex;" alt="{\displaystyle a\,=:\,b}"></span>
+</td>
+<td><code>=:</code>
+</td>
+<td><code>&amp;eqcolon;</code>
+</td>
+<td><code>U+2255</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \doteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2250;<!-- ≐ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \doteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de69082f1885891812d259864e762e1543db2d6a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:2.009ex;" alt="{\displaystyle \doteq }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%89%90" class="extiw" title="wiktionary:≐">≐</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle x_{n}\doteq \,b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi>x</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>n</mi>
+          </mrow>
+        </msub>
+        <mo>&#x2250;<!-- ≐ --></mo>
+        <mspace width="thinmathspace" />
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle x_{n}\doteq \,b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81a0d6df3dedccc38cd096f90d21558aac7ab86c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.031ex; height:2.509ex;" alt="{\displaystyle x_{n}\doteq \,b}"></span>
+</td>
+<td><a href="/wiki/Limit_(mathematics)" title="Limit (mathematics)">Approaches the limit</a>
+</td>
+<td><code>\doteq</code>
+</td>
+<td><code>&amp;esdot;</code>
+</td>
+<td><code>U+2250</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle ==}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>==</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle ==}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ab28e3d4299e9a926b82e3a7ae69717bb3cb76f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:3.616ex; height:1.343ex;" alt="{\displaystyle ==}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%A9%B5" class="extiw" title="wiktionary:⩵">⩵</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle x\,==\,y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>x</mi>
+        <mspace width="thinmathspace" />
+        <mo>==</mo>
+        <mspace width="thinmathspace" />
+        <mi>y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle x\,==\,y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15d2e4a4b698362ceebfcda83c81a323dbaeeab2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.166ex; height:2.009ex;" alt="{\displaystyle x\,==\,y}"></span>
+</td>
+<td><a href="/wiki/Relational_operator" title="Relational operator">Relational operator</a>
+</td>
+<td><code>==</code>
+</td>
+<td><code>&amp;Equal;</code>
+</td>
+<td><code>U+2A75</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Logical_operators">Logical operators</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=32" title="Edit section: Logical operators"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \land }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2227;<!-- ∧ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \land }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6823e5a222eb3ca49672818ac3d13ec607052c4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \land }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%A7" class="extiw" title="wiktionary:∧">∧</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\land B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2227;<!-- ∧ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\land B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74954195333a8593163b93a9688695b8dc74da55" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\land B}"></span>
+</td>
+<td><a href="/wiki/Logical_conjunction" title="Logical conjunction">Logical conjunction</a>
+</td>
+<td><code>\land</code>
+</td>
+<td><code>&amp;and;</code>
+</td>
+<td><code>U+2227</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lor }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2228;<!-- ∨ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lor }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ab47f6b1f589aedcf14638df1d63049d233d851a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \lor }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%A8" class="extiw" title="wiktionary:∨">∨</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\lor B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2228;<!-- ∨ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\lor B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9b9c9c90857c12727201dd9e47a4e7c8658fdbc5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\lor B}"></span>
+</td>
+<td><a href="/wiki/Logical_disjunction" title="Logical disjunction">Logical disjunction</a>
+</td>
+<td><code>\lor</code>
+</td>
+<td><code>&amp;or;</code>
+</td>
+<td><code>U+2228</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Leftrightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x21D4;<!-- ⇔ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Leftrightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/64812e13399c20cf3ce94e049d3bb2d85f26abcf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \Leftrightarrow }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%87%94" class="extiw" title="wiktionary:⇔">⇔</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\Leftrightarrow B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo stretchy="false">&#x21D4;<!-- ⇔ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\Leftrightarrow B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ce08fffb4d36ba12921b8b3e06228887015b2b8e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.121ex; height:2.176ex;" alt="{\displaystyle A\Leftrightarrow B}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Logical_equivalence" title="Logical equivalence">Logical equivalence</a>
+</td>
+<td><code><small>\Leftrightarrow</small></code>
+</td>
+<td><code>&amp;hArr;</code>
+</td>
+<td><code>U+21D4</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leftrightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2194;<!-- ↔ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leftrightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/046b918c43e05caf6624fe9b676c69ec9cd6b892" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \leftrightarrow }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%86%94" class="extiw" title="wiktionary:↔">↔</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\leftrightarrow B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo stretchy="false">&#x2194;<!-- ↔ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\leftrightarrow B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/936ab098710910e69e56ec2734dd89063ce21efa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.121ex; height:2.176ex;" alt="{\displaystyle A\leftrightarrow B}"></span>
+</td>
+<td><code><small>\leftrightarrow</small></code>
+</td>
+<td><code>&amp;harr;</code>
+</td>
+<td><code>U+2194</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \iff }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mspace width="thickmathspace" />
+        <mo stretchy="false">&#x27FA;<!-- ⟺ --></mo>
+        <mspace width="thickmathspace" />
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \iff }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff942842a50b24e7585cc42c5b50c34650e3aa99" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.607ex; height:1.843ex;" alt="{\displaystyle \iff }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%9F%BA" class="extiw" title="wiktionary:⟺">⟺</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\iff B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thickmathspace" />
+        <mo stretchy="false">&#x27FA;<!-- ⟺ --></mo>
+        <mspace width="thickmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\iff B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ec036ad0e61885e9e91328891b961c90d80d493" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.404ex; height:2.176ex;" alt="{\displaystyle A\iff B}"></span>
+</td>
+<td><code><small>\iff</small></code>
+</td>
+<td><code>&amp;Longleftrightarrow;</code>
+</td>
+<td><code>U+27FA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Rightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x21D2;<!-- ⇒ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Rightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/469b737d167b9b28a74e27c7f5e35b5ea9256100" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \Rightarrow }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%87%92" class="extiw" title="wiktionary:⇒">⇒</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\Rightarrow B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo stretchy="false">&#x21D2;<!-- ⇒ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\Rightarrow B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8e560143d45c97e6387c7c3aa90e9d7745002228" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.121ex; height:2.176ex;" alt="{\displaystyle A\Rightarrow B}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Logical_consequence" title="Logical consequence">Logical consequence</a>
+</td>
+<td><code>\Rightarrow</code>
+</td>
+<td><code>&amp;rArr;</code>
+</td>
+<td><code>U+21D2</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \rightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \rightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/53e574cc3aa5b4bf5f3f5906caf121a378eef08b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \rightarrow }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%86%92" class="extiw" title="wiktionary:→">→</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\rightarrow B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\rightarrow B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/23efef033def56a67de7ded823f14626de26d174" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.121ex; height:2.176ex;" alt="{\displaystyle A\rightarrow B}"></span>
+</td>
+<td><code>\rightarrow</code>
+</td>
+<td><code>&amp;rarr;</code>
+</td>
+<td><code>U+2192</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \implies }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mspace width="thickmathspace" />
+        <mo stretchy="false">&#x27F9;<!-- ⟹ --></mo>
+        <mspace width="thickmathspace" />
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \implies }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/913c2e89ea94dfa446f69b056d4bf505e01fcc5f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.096ex; height:1.843ex;" alt="{\displaystyle \implies }"></span>
+</td>
+<td rowspan="2" style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%9F%B9" class="extiw" title="wiktionary:⟹">⟹</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\implies B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thickmathspace" />
+        <mo stretchy="false">&#x27F9;<!-- ⟹ --></mo>
+        <mspace width="thickmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\implies B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99341a3209b1550c5af9f5dade8ede6515b3167d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.893ex; height:2.176ex;" alt="{\displaystyle A\implies B}"></span>
+</td>
+<td><code>\implies</code>
+</td>
+<td rowspan="2"><code>&amp;DoubleLongRightArrow;</code>
+</td>
+<td rowspan="2"><code>U+27F9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Longrightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x27F9;<!-- ⟹ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Longrightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/052ac938cf46158e09d7a9528162518802cabd3b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.806ex; height:1.843ex;" alt="{\displaystyle \Longrightarrow }"></span>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\Longrightarrow B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo stretchy="false">&#x27F9;<!-- ⟹ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\Longrightarrow B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d96498fec6831a5f22cde1b952127db3297f3f7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.603ex; height:2.176ex;" alt="{\displaystyle A\Longrightarrow B}"></span>
+</td>
+<td><code>\Longrightarrow</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \oplus }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2295;<!-- ⊕ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \oplus }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8b16e2bdaefee9eed86d866e6eba3ac47c710f60" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \oplus }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%95" class="extiw" title="wiktionary:⊕">⊕</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\oplus B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2295;<!-- ⊕ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\oplus B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f0512d6bdd29ff000dea0bf68b853618dcaabc3e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.348ex; height:2.343ex;" alt="{\displaystyle A\oplus B}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Exclusive_or" title="Exclusive or">Exclusive or</a>
+</td>
+<td><code>\oplus</code>
+</td>
+<td><code>&amp;oplus;</code>
+</td>
+<td><code>U+2295</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \veebar }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22BB;<!-- ⊻ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \veebar }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04d326b0ae464569ba667f5b56e0541a4efe6bb4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.42ex; height:2.176ex;" alt="{\displaystyle \veebar }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%BB" class="extiw" title="wiktionary:⊻">⊻</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\,\veebar \,B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thinmathspace" />
+        <mo>&#x22BB;<!-- ⊻ --></mo>
+        <mspace width="thinmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\,\veebar \,B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b428a668bac240f3cb16353a0687fb911192b967" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.734ex; height:2.176ex;" alt="{\displaystyle A\,\veebar \,B}"></span>
+</td>
+<td><code>\veebar</code>
+</td>
+<td><code>&amp;veebar;</code>
+</td>
+<td><code>U+22BB</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\dot {\lor }}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>&#x2228;<!-- ∨ --></mo>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\dot {\lor }}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4dabfe21c610b4dcebabbe36e8c9be20f2ae2dcb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.509ex;" alt="{\displaystyle {\dot {\lor }}}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%A9%92" class="extiw" title="wiktionary:⩒">⩒</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\,{\dot {\lor }}\,B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>&#x2228;<!-- ∨ --></mo>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\,{\dot {\lor }}\,B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/10949c9dc2f86bd6b23905497e25bb39b56a801d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.832ex; height:2.509ex;" alt="{\displaystyle A\,{\dot {\lor }}\,B}"></span>
+</td>
+<td><code>\dot\lor</code>
+</td>
+<td>
+</td>
+<td><code>U+2A52</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lnot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x00AC;<!-- ¬ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lnot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/099107443792f5fec9bebe39b919a690db7198c1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.204ex; margin-bottom: -0.376ex; width:1.55ex; height:1.176ex;" alt="{\displaystyle \lnot }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%C2%AC" class="extiw" title="wiktionary:¬">¬</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lnot A}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x00AC;<!-- ¬ --></mi>
+        <mi>A</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lnot A}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ca8018a527bd4807dd9df6bc8081664168d160c4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.293ex; height:2.176ex;" alt="{\displaystyle \lnot A}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Logical_negation" class="mw-redirect" title="Logical negation">Logical negation</a>
+</td>
+<td><code>\lnot</code>
+</td>
+<td><code>&amp;not;</code>
+</td>
+<td><code>U+00AC</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/768bacda8640617e7a9ee2f01f86f21a40ddf4e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\bar {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {A}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>A</mi>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {A}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4c003b99422260ba7cc644d36c04448c181a3759" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.676ex;" alt="{\displaystyle {\bar {A}}}"></span>
+</td>
+<td><code>\bar</code>
+</td>
+<td><code>&amp;#x304;</code>
+</td>
+<td><code>U+0304</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a91edff755a91d1bbd8d9e6ec5da35190ad0ca2c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.276ex; height:1.676ex;" alt="{\displaystyle {\overline {~~}}}"></span>
+</td>
+<td style="text-align: center;">&#x305;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {A}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mi>A</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {A}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92efef0e89bdc77f6a848764195ef5b9d9bfcc6a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.858ex; height:3.009ex;" alt="{\displaystyle {\overline {A}}}"></span>
+</td>
+<td><code>\overline</code>
+</td>
+<td><code>&amp;#x305;</code>
+</td>
+<td><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-REL">
+          <mpadded width="0">
+            <mtext>&#x29F8;</mtext>
+          </mpadded>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e361f18f0a130bfbee4b2e11278cc62f571de085" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-right: -1.483ex; width:1.483ex; height:2.676ex;" alt="{\displaystyle \not }"></span>
+</td>
+<td style="text-align: center;">◌̸
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not =}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2260;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not =}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ebf8afec7dacd23ce8632c3a4b4abb3873afa97e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.676ex;" alt="{\displaystyle \not =}"></span><br /><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \in }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2209;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \in }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c681ffd934198bd2f57aa31518fd119ceeb0e6d9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.55ex; height:2.676ex;" alt="{\displaystyle \not \in }"></span>
+</td>
+<td><code>\not</code><br /> (ex: <code>\not=</code> <code>\not\in</code>)
+</td>
+<td><code>&amp;#x338;</code><br /> (ex: <code>=&amp;#x338;</code> <code>&amp;isin;&amp;#x338;</code>)
+</td>
+<td><code>U+0338</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leftarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2190;<!-- ← --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leftarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c0fb4bce772117bbaf55b7ca1539ceff9ae218c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \leftarrow }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%86%90" class="extiw" title="wiktionary:←">←</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\leftarrow B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo stretchy="false">&#x2190;<!-- ← --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\leftarrow B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/456da65c891c438fea04d7e40283b67d600fe92d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.121ex; height:2.176ex;" alt="{\displaystyle A\leftarrow B}"></span>
+</td>
+<td><a href="/wiki/Converse_implication" class="mw-redirect" title="Converse implication">Converse implication</a>
+</td>
+<td><code>\leftarrow</code>
+</td>
+<td><code>&amp;ShortLeftArrow;</code>
+</td>
+<td><code>U+2190</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \multimap }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22B8;<!-- ⊸ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \multimap }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8dbdbef37038e3d95f772b5866d296f25164f95a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.211ex; margin-bottom: -0.383ex; width:2.582ex; height:1.343ex;" alt="{\displaystyle \multimap }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/Linear_implication" class="mw-redirect" title="Linear implication">⊸</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\multimap B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x22B8;<!-- ⊸ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\multimap B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/042e87b6070e487318f0e7d74946d5598c6f7a13" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.379ex; height:2.176ex;" alt="{\displaystyle A\multimap B}"></span>
+</td>
+<td><a href="/wiki/Linear_logic" title="Linear logic">Linear logic</a>
+</td>
+<td><code>\multimap</code>
+</td>
+<td><code>&amp;mumap;</code>
+</td>
+<td><code>U+22B8</code>
+</td></tr>
+<tr>
+<td style="text-align: center;">⅋
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%85%8B" class="mw-redirect" title="⅋">⅋</a>
+</td>
+<td style="text-align: center;">A ⅋ B
+</td>
+<td><a href="/wiki/Linear_logic" title="Linear logic">Linear logic</a>
+</td>
+<td><code>\upand</code> <small>(No Wikipedia support)</small>
+</td>
+<td><code>&amp;x214B;</code>
+</td>
+<td><code>U+214B</code>
+</td></tr></tbody></table>
+<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1033289096"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Logical_connective#List_of_common_logical_connectives" title="Logical connective">Further symbols for binary connectives</a></div>
+<h3><span class="mw-headline" id="Quantifiers">Quantifiers</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=33" title="Edit section: Quantifiers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \forall }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \forall }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bfc1a1a9c4c0f8d5df989c98aa2773ed657c5937" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.293ex; height:2.176ex;" alt="{\displaystyle \forall }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%80" class="extiw" title="wiktionary:∀">∀</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \forall \,x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2200;<!-- ∀ --></mi>
+        <mspace width="thinmathspace" />
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \forall \,x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e10967cd6ca3afd5a5acf343d7584497d074375c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.009ex; height:2.176ex;" alt="{\displaystyle \forall \,x}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Universal_quantification" title="Universal quantification">Universal quantification</a>
+</td>
+<td><code>\forall</code>
+</td>
+<td><code>&amp;forall;</code>
+</td>
+<td><code>U+2200</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigwedge }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C0;<!-- ⋀ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigwedge }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b20eaee46377072a177e3577ea439d142574f6aa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:3.843ex;" alt="{\displaystyle \bigwedge }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8B%80" class="extiw" title="wiktionary:⋀">⋀</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigwedge _{x}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo>&#x22C0;<!-- ⋀ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+          </mrow>
+        </munder>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigwedge _{x}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba21f5f7608b606ee5381a0d179976ecdca6955a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:2.582ex; height:5.509ex;" alt="{\displaystyle \bigwedge _{x}}"></span>
+</td>
+<td><code>\bigwedge</code>
+</td>
+<td><code>&amp;Wedge;</code>
+</td>
+<td><code>U+22C0</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \exists }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2203;<!-- ∃ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \exists }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/77ed842b6b90b2fdd825320cf8e5265fa937b583" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.293ex; height:2.176ex;" alt="{\displaystyle \exists }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%83" class="extiw" title="wiktionary:∃">∃</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \exists \,x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2203;<!-- ∃ --></mi>
+        <mspace width="thinmathspace" />
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \exists \,x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/728eeda34bb81f5dd04bbc34c2dcffe2815fa96d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.009ex; height:2.176ex;" alt="{\displaystyle \exists \,x}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Existential_quantification" title="Existential quantification">Existential quantification</a>
+</td>
+<td><code>\exists</code>
+</td>
+<td><code>&amp;exist;</code>
+</td>
+<td><code>U+2203</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigvee }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C1;<!-- ⋁ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigvee }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/424eb787b9be7b652deb858148ac5412c317aebf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:3.843ex;" alt="{\displaystyle \bigvee }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8B%81" class="extiw" title="wiktionary:⋁">⋁</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigvee _{x}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo>&#x22C1;<!-- ⋁ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+          </mrow>
+        </munder>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigvee _{x}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f332f295febad0ee61759827886b9b3781ae56e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:2.582ex; height:5.509ex;" alt="{\displaystyle \bigvee _{x}}"></span>
+</td>
+<td><code>\bigvee</code>
+</td>
+<td><code>&amp;xvee;</code>
+</td>
+<td><code>U+22C1</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \exists !}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2203;<!-- ∃ --></mi>
+        <mo>!</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \exists !}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3aab884c076b7332eab3860c2f32086012df840b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.939ex; height:2.176ex;" alt="{\displaystyle \exists !}"></span>
+</td>
+<td style="text-align: center;">∃!
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \exists !\,x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2203;<!-- ∃ --></mi>
+        <mo>!</mo>
+        <mspace width="thinmathspace" />
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \exists !\,x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/398b0be0638907c45157be517dd74a88debe0d0e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.656ex; height:2.176ex;" alt="{\displaystyle \exists !\,x}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Uniqueness_quantification" title="Uniqueness quantification">Uniqueness quantification</a>
+</td>
+<td><code>\exists!</code>
+</td>
+<td><code>&amp;exist;!</code>
+</td>
+<td><code>U+2203</code>!
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigvee ^{\centerdot }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mover>
+          <mo>&#x22C1;<!-- ⋁ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo class="MJX-variant">&#x22C5;<!-- ⋅ --></mo>
+          </mrow>
+        </mover>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigvee ^{\centerdot }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/05732efb1a2a587019a40d0c1feb814e5854fece" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:4.843ex;" alt="{\displaystyle \bigvee ^{\centerdot }}"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%A9%92" class="extiw" title="wiktionary:⩒">⩒</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigvee _{x}^{\centerdot }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munderover>
+          <mo>&#x22C1;<!-- ⋁ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo class="MJX-variant">&#x22C5;<!-- ⋅ --></mo>
+          </mrow>
+        </munderover>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigvee _{x}^{\centerdot }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5ff5613456a04413df0887af758240f8968d7d57" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:2.582ex; height:6.509ex;" alt="{\displaystyle \bigvee _{x}^{\centerdot }}"></span>
+</td>
+<td><code>\dot\bigvee</code>
+</td>
+<td>
+</td>
+<td><code>U+2A52</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nexists }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x2204;<!-- ∄ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nexists }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/105571be31b330ddf22ac965fc50efedfb59de7d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.19ex; width:1.484ex; height:2.676ex;" alt="{\displaystyle \nexists }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%84" class="extiw" title="wiktionary:∄">∄</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nexists \,x}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x2204;<!-- ∄ --></mi>
+        <mspace width="thinmathspace" />
+        <mi>x</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nexists \,x}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eaa7d5ac625ea7a93d71266f8b0ba06d83f92f15" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.19ex; width:3.201ex; height:2.676ex;" alt="{\displaystyle \nexists \,x}"></span>
+</td>
+<td><a href="/wiki/Existential_quantification" title="Existential quantification">Existential quantification</a>
+</td>
+<td><code>\nexists</code>
+</td>
+<td><code>&amp;NotExists;</code>
+</td>
+<td><code>U+2204</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Deduction_symbols">Deduction symbols</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=34" title="Edit section: Deduction symbols"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \vdash }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22A2;<!-- ⊢ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \vdash }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0c0d30cf8cb7dba179e317fcde9583d842e80f6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.42ex; height:2.176ex;" alt="{\displaystyle \vdash }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/Turnstile_(symbol)" title="Turnstile (symbol)">⊢</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\vdash B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x22A2;<!-- ⊢ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\vdash B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45b0d9ce57211fcb763fc21a7313db94189a85b9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.218ex; height:2.176ex;" alt="{\displaystyle A\vdash B}"></span>
+</td>
+<td><a href="/wiki/Logical_consequence#Syntactic_consequence" title="Logical consequence">Logical consequence</a>, <a href="/wiki/Propositional_calculus" title="Propositional calculus">Propositional calculus</a>
+</td>
+<td><code>\vdash</code>
+</td>
+<td><code>&amp;vdash;</code>
+</td>
+<td><code>U+22A2</code>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \models }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22A8;<!-- ⊨ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \models }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/89dbad9a523091069a540122aeb15e41d1fe18b8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.015ex; height:2.843ex;" alt="{\displaystyle \models }"></span>
+</td>
+<td rowspan="2" style="text-align: center;"><a href="/wiki/Double_turnstile" title="Double turnstile">⊨</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\models B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x22A8;<!-- ⊨ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\models B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f0e557884001c37bf193b635f9492c944d449cd1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.812ex; height:2.843ex;" alt="{\displaystyle A\models B}"></span>
+</td>
+<td><a href="/wiki/Logical_consequence#Semantic_consequence" title="Logical consequence">Logical consequence</a>, <a href="/wiki/Inference" title="Inference">Inference</a>
+</td>
+<td rowspan="2"><code>\models</code>
+</td>
+<td rowspan="2"><code>&amp;DoubleRightTee;</code>
+</td>
+<td rowspan="2"><code>U+22A8</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \models A}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22A8;<!-- ⊨ --></mo>
+        <mi>A</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \models A}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8eaa8a353b3edc29e8597a301cf098812dfb2025" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.403ex; height:2.843ex;" alt="{\displaystyle \models A}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Tautology_(logic)" title="Tautology (logic)">Tautology (logic)</a>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \top }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x22A4;<!-- ⊤ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \top }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf12e436fef2365e76fcb1034a51179d8328bb33" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \top }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%A4" class="extiw" title="wiktionary:⊤">⊤</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\top }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mi mathvariant="normal">&#x22A4;<!-- ⊤ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\top }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eee3e71b72e905b4da2a626713a458168aaf1772" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.551ex; height:2.176ex;" alt="{\displaystyle A\top }"></span>
+</td>
+<td><code>\top</code>
+</td>
+<td><code>&amp;top;</code>
+</td>
+<td><code>U+22A4</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x22A5;<!-- ⊥ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f282c7bc331cc3bfcf1c57f1452cc23c022f58de" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \bot }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%8A%A5" class="extiw" title="wiktionary:⊥">⊥</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\bot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mi mathvariant="normal">&#x22A5;<!-- ⊥ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\bot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a1d2940bac96925da9bb690695bca73dc0d4bef" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.551ex; height:2.176ex;" alt="{\displaystyle A\bot }"></span>
+</td>
+<td><a href="/wiki/Contradiction" title="Contradiction">Contradiction</a>
+</td>
+<td><code>\bot</code>
+</td>
+<td><code>&amp;perp;</code>
+</td>
+<td><code>U+22A5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \therefore }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2234;<!-- ∴ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \therefore }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbb8b7f072bd54b28a08d8f7ad207f9df1bf9f22" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.55ex; height:1.843ex;" alt="{\displaystyle \therefore }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%B4" class="extiw" title="wiktionary:∴">∴</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\therefore B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2234;<!-- ∴ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\therefore B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09b4316d7801a2bd63407a292dd74d89603c2481" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.348ex; height:2.343ex;" alt="{\displaystyle A\therefore B}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Deductive_reasoning" title="Deductive reasoning">Deductive reasoning</a>
+</td>
+<td><code>\therefore</code>
+</td>
+<td><code>&amp;therefore;</code>
+</td>
+<td><code>U+2234</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \because }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2235;<!-- ∵ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \because }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/97ae9106e848d27ed2d7e920382c0df49506801a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.55ex; height:1.843ex;" alt="{\displaystyle \because }"></span>
+</td>
+<td style="text-align: center;"><a href="https://en.wiktionary.org/wiki/%E2%88%B5" class="extiw" title="wiktionary:∵">∵</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\because B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2235;<!-- ∵ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\because B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f957b385cfd98404b7cb41e5fa98ff06e65aec0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.348ex; height:2.343ex;" alt="{\displaystyle A\because B}"></span>
+</td>
+<td><code>\because</code>
+</td>
+<td><code>&amp;because;</code>
+</td>
+<td><code>U+2235</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="End_of_proof_symbols">End of proof symbols</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=35" title="Edit section: End of proof symbols"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \blacksquare }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x25FC;<!-- ◼ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \blacksquare }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8733090f2d787d03101c3e16dc3f6404f0e7dd4c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \blacksquare }"></span>
+</td>
+<td style="text-align: center;">■
+</td>
+<td rowspan="3" style="text-align: center;">...as desired. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \blacksquare }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x25FC;<!-- ◼ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \blacksquare }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8733090f2d787d03101c3e16dc3f6404f0e7dd4c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \blacksquare }"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Q.E.D." title="Q.E.D.">Q.E.D.</a>
+</td>
+<td><code>\blacksquare</code>
+</td>
+<td><code>&amp;#x25A0;</code>
+</td>
+<td><code>U+25A0</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \Box }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x25FB;<!-- ◻ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \Box }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/029b77f09ebeaf7528fc831fe57848be51f2240b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \Box }"></span>
+</td>
+<td style="text-align: center;">□
+</td>
+<td><code>\Box</code>
+</td>
+<td><code>&amp;squ;</code>
+</td>
+<td><code>U+25A1</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">∎
+</td>
+<td><a href="/wiki/Tombstone_(typography)" title="Tombstone (typography)">Tombstone</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;#x220E;</code>
+</td>
+<td><code>U+220E</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Formal_language_and_strings">Formal language and strings</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=36" title="Edit section: Formal language and strings"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1033289096"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Formal_language" title="Formal language">Formal language</a></div>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varepsilon }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B5;<!-- ε --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varepsilon }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a30c89172e5b88edbd45d3e2772c7f5e562e5173" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.083ex; height:1.676ex;" alt="{\displaystyle \varepsilon }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%CE%95" class="mw-redirect" title="Ε">ε</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varepsilon s=s}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B5;<!-- ε --></mi>
+        <mi>s</mi>
+        <mo>=</mo>
+        <mi>s</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varepsilon s=s}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6ed060cbee61bed6cfec1594becd5349b31c54b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.363ex; height:1.676ex;" alt="{\displaystyle \varepsilon s=s}"></span>
+</td>
+<td><a href="/wiki/Empty_string" title="Empty string">Empty string</a>
+</td>
+<td><code>\varepsilon</code>
+</td>
+<td><code>&amp;epsi;</code>
+</td>
+<td><code>U+03B5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |~~|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |~~|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29900ebd10692214f66b27b664618fe5b23c369d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle |~~|}"></span>
+</td>
+<td style="text-align: center;">| |
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |s|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mi>s</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |s|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ae65dea0cc836140252292ee9adf2d8b5102055" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.384ex; height:2.843ex;" alt="{\displaystyle |s|}"></span>
+</td>
+<td><a href="/wiki/String_length" class="mw-redirect" title="String length">String length</a>
+</td>
+<td><code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle +}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>+</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle +}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle +}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%2B" class="mw-redirect" title="+">+</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle s+t}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>s</mi>
+        <mo>+</mo>
+        <mi>t</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle s+t}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/021a7a33b9ad4b782cf1cb7076c8a7b01a52faf5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:4.77ex; height:2.176ex;" alt="{\displaystyle s+t}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Concatenation" title="Concatenation">Concatenation</a>
+</td>
+<td><code>+</code>
+</td>
+<td><code>&amp;plus;</code>
+</td>
+<td><code>U+002B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cdot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8B%85" class="mw-redirect" title="⋅">⋅</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle s\cdot t}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>s</mi>
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+        <mi>t</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle s\cdot t}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b5a6d469cdb37672d7f1771666d2868c6ffcbfb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.609ex; height:2.009ex;" alt="{\displaystyle s\cdot t}"></span>
+</td>
+<td><code>\cdot</code>
+</td>
+<td><code>&amp;sdot;</code>
+</td>
+<td><code>U+22C5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lnot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x00AC;<!-- ¬ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lnot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/099107443792f5fec9bebe39b919a690db7198c1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.204ex; margin-bottom: -0.376ex; width:1.55ex; height:1.176ex;" alt="{\displaystyle \lnot }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%C2%AC" class="mw-redirect" title="¬">¬</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lnot L}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x00AC;<!-- ¬ --></mi>
+        <mi>L</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lnot L}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/436c884f95e472a5cf3ab18c31fe729c753c5e96" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.133ex; height:2.176ex;" alt="{\displaystyle \lnot L}"></span>
+</td>
+<td><a href="/wiki/Formal_language" title="Formal language">Formal language</a>
+</td>
+<td><code>\lnot</code>
+</td>
+<td><code>&amp;not;</code>
+</td>
+<td><code>U+00AC</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/083d1bbfe34ad3c8f02487c7a392d2e55b0ee75a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle {}^{\ast }}"></span>
+</td>
+<td style="text-align: center;">*
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>V</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4939f83769e42ba646fd8995b3b16eb6a58c6a57" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.971ex; height:2.343ex;" alt="{\displaystyle V^{\ast }}"></span>
+</td>
+<td><a href="/wiki/Kleene_star" title="Kleene star">Kleene star</a>
+</td>
+<td><code>^\ast</code>
+</td>
+<td><code>&amp;lowast;</code>
+</td>
+<td><code>U+002A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{+}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>+</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{+}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6f326d59d26041124ebf409e7b2a95e98015bc1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.343ex;" alt="{\displaystyle {}^{+}}"></span>
+</td>
+<td style="text-align: center;">+
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle V^{+}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>V</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>+</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle V^{+}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b2aafc830b7719ab820d87c8a8eec52e8756b9c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.428ex; height:2.509ex;" alt="{\displaystyle V^{+}}"></span>
+</td>
+<td><a href="/wiki/Free_monoid" title="Free monoid">Free monoid</a>
+</td>
+<td><code>^+</code>
+</td>
+<td><code>&amp;plus;</code>
+</td>
+<td><code>U+002B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x223C;<!-- ∼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afcc42adfcfdc24d5c4c474869e5d8eaa78d1173" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:1.343ex;" alt="{\displaystyle \sim }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%BC" class="mw-redirect" title="∼">∼</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x223C;<!-- ∼ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d60a7ec044aafda7685b062b023b95b2e3f9e252" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\sim b}"></span>
+</td>
+<td><a href="/wiki/Squiggle_operator" title="Squiggle operator">Squiggle operator</a>
+</td>
+<td><code>\sim</code>
+</td>
+<td><code>&amp;sim;</code>
+</td>
+<td><code>U+223C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [\![~~]\!]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mspace width="negativethinmathspace" />
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+        <mspace width="negativethinmathspace" />
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [\![~~]\!]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ad06de69bccc6f409cfe9a3b0da8cf4095adb51" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.974ex; height:2.843ex;" alt="{\displaystyle [\![~~]\!]}"></span>
+</td>
+<td style="text-align: center;">⟦⟧
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [\![s]\!]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mspace width="negativethinmathspace" />
+        <mo stretchy="false">[</mo>
+        <mi>s</mi>
+        <mo stretchy="false">]</mo>
+        <mspace width="negativethinmathspace" />
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [\![s]\!]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f8f2af86a3178fad96759e70585a777efed57f8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.904ex; height:2.843ex;" alt="{\displaystyle [\![s]\!]}"></span>
+</td>
+<td><a href="/wiki/Squiggle_operator" title="Squiggle operator">Squiggle operator</a>
+</td>
+<td><code>[\![</code> <code>]\!]</code>
+</td>
+<td><code>&amp;LeftDoubleBracket;</code> <code>&amp;RightDoubleBracket;</code>
+</td>
+<td><code>U+27E6/7</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Functions_and_category_theory">Functions and category theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=37" title="Edit section: Functions and category theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Functions">Functions</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=38" title="Edit section: Functions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \to }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \to }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1daab843254cfcb23a643070cf93f3badc4fbbbd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \to }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">→
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\colon A\to B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>A</mi>
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\colon A\to B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6dec1893560fabff9fa9c17b83b71f7f97996119" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.434ex; height:2.509ex;" alt="{\displaystyle f\colon A\to B}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Function_(mathematics)" title="Function (mathematics)">Function (mathematics)</a>
+</td>
+<td rowspan="2"><code>\to</code>
+</td>
+<td rowspan="2"><code>&amp;rarr;</code>
+</td>
+<td rowspan="2"><code>U+2192</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\,{\stackrel {f}{\to }}\,B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mo stretchy="false">&#x2192;<!-- → --></mo>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mi>f</mi>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\,{\stackrel {f}{\to }}\,B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/96baec71c93a9b63613e74dfeda64bffbf4dd5f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.605ex; height:3.843ex;" alt="{\displaystyle A\,{\stackrel {f}{\to }}\,B}"></span>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mapsto }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x21A6;<!-- ↦ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mapsto }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bc09de045e7d82eef9fe078e7e7606576640c11b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \mapsto }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">↦
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\colon x\mapsto y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>x</mi>
+        <mo stretchy="false">&#x21A6;<!-- ↦ --></mo>
+        <mi>y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\colon x\mapsto y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a052d55c1afcab0a16118128990d5dcaef1abc14" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.412ex; height:2.509ex;" alt="{\displaystyle f\colon x\mapsto y}"></span>
+</td>
+<td rowspan="2"><code>\mapsto</code>
+</td>
+<td rowspan="2"><code>&amp;mapstoright;</code>
+</td>
+<td rowspan="2"><code>U+21A6</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle x\,{\stackrel {f}{\mapsto }}\,y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>x</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mo stretchy="false">&#x21A6;<!-- ↦ --></mo>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mi>f</mi>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle x\,{\stackrel {f}{\mapsto }}\,y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6cb71224eed68615f6e58fabbf28a839e872dca0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.583ex; height:4.176ex;" alt="{\displaystyle x\,{\stackrel {f}{\mapsto }}\,y}"></span>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (~~)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (~~)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/18d87e074628d54ad15ca27dba00e60d55e9faa0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle (~~)}"></span>
+</td>
+<td rowspan="2" style="text-align: center;">( )
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/202945cce41ecebb6f643f31d119c514bec7a074" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.418ex; height:2.843ex;" alt="{\displaystyle f(x)}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Image_(mathematics)" title="Image (mathematics)">Image (mathematics)</a>
+</td>
+<td rowspan="2"><code>(  )</code>
+</td>
+<td rowspan="2"><code>&amp;lpar;</code> <code>&amp;rpar;</code>
+</td>
+<td rowspan="2"><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f(X)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f(X)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b884e2d65b3356219702968b6751485fb8f38570" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.068ex; height:2.843ex;" alt="{\displaystyle f(X)}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [~~]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [~~]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1376a583a956836622dd69bd6fb32d91fe2a6d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle [~~]}"></span>
+</td>
+<td style="text-align: center;">[ ]
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f[X]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo stretchy="false">[</mo>
+        <mi>X</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f[X]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e5e812eccb1c254487aec6d1205d085203306cb3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.552ex; height:2.843ex;" alt="{\displaystyle f[X]}"></span>
+</td>
+<td><code>[  ]</code>
+</td>
+<td><code>&amp;lbrack;</code> or <code>&amp;rbrack;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \vert }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">|</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \vert }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93019cea46f1a0aaef5215a0bba66cb0078942d9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:0.647ex; height:2.843ex;" alt="{\displaystyle \vert }"></span>
+</td>
+<td style="text-align: center;">|
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\vert _{X}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <msub>
+          <mo fence="false" stretchy="false">|</mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>X</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\vert _{X}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b707390b0c6de492169de8f751f1ca2ebfef4141" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.558ex; height:2.843ex;" alt="{\displaystyle f\vert _{X}}"></span>
+</td>
+<td><a href="/wiki/Restriction_(mathematics)" title="Restriction (mathematics)">Restriction (mathematics)</a>
+</td>
+<td><code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cdot }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }"></span>
+</td>
+<td style="text-align: center;">⋅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f(\cdot )}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo stretchy="false">(</mo>
+        <mo>&#x22C5;<!-- ⋅ --></mo>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f(\cdot )}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ec4adac182c93a76f0238a839ebb10b124e54c2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.735ex; height:2.843ex;" alt="{\displaystyle f(\cdot )}"></span>
+</td>
+<td><a href="/wiki/Free_variable" class="mw-redirect" title="Free variable">Free variable</a>
+</td>
+<td><code>\cdot</code>
+</td>
+<td><code>&amp;sdot;</code>
+</td>
+<td><code>U+22C5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{-1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2212;<!-- − --></mo>
+            <mn>1</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{-1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/547b5e7c706c2a159d326f4ba95537622fd7ce16" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:2.333ex; height:2.509ex;" alt="{\displaystyle {}^{-1}}"></span>
+</td>
+<td style="text-align: center;">⁻
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f^{-1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>f</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2212;<!-- − --></mo>
+            <mn>1</mn>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f^{-1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e5cfa2f5c08d6fe7d046b73faa6e3f213acc802" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.653ex; height:3.009ex;" alt="{\displaystyle f^{-1}}"></span>
+</td>
+<td><a href="/wiki/Inverse_function" title="Inverse function">Inverse function</a>
+</td>
+<td><code>-1</code>
+</td>
+<td>
+</td>
+<td><code>U+207B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \circ }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2218;<!-- ∘ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \circ }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99add39d2b681e2de7ff62422c32704a05c7ec31" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \circ }"></span>
+</td>
+<td style="text-align: center;">∘
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\circ g}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x2218;<!-- ∘ --></mo>
+        <mi>g</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\circ g}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2f61ca7838709fbae07dce9c0d513770f10cfae" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.589ex; height:2.509ex;" alt="{\displaystyle f\circ g}"></span>
+</td>
+<td><a href="/wiki/Function_composition" title="Function composition">Function composition</a>
+</td>
+<td><code>\circ</code>
+</td>
+<td><code>&amp;#8728;</code>
+</td>
+<td><code>U+2218</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ast }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2217;<!-- ∗ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ast }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f1858484bef51b1435c2b986c728a81788051803" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.079ex; margin-bottom: -0.25ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \ast }"></span>
+</td>
+<td style="text-align: center;">∗
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\ast g}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x2217;<!-- ∗ --></mo>
+        <mi>g</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\ast g}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f646d7f404b2b4c55d2005540bfe7cf36ee0eaf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.589ex; height:2.509ex;" alt="{\displaystyle f\ast g}"></span>
+</td>
+<td><a href="/wiki/Convolution" title="Convolution">Convolution</a>
+</td>
+<td><code>\ast</code>
+</td>
+<td><code>&amp;lowast;</code>
+</td>
+<td><code>U+2217</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3aa6fc5ed62bb17235b380c97efa1a33b48cf60" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\hat {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̂
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\hat {f}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>f</mi>
+              <mo stretchy="false">&#x005E;<!-- ^ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\hat {f}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/14ce989fd75da938ec6f95a0cdb71037b23a11cb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.699ex; height:3.176ex;" alt="{\displaystyle {\hat {f}}}"></span>
+</td>
+<td><a href="/wiki/Fourier_transform" title="Fourier transform">Fourier transform</a>
+</td>
+<td><code>\hat</code>
+</td>
+<td>
+</td>
+<td><code>U+0302</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \multimap }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22B8;<!-- ⊸ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \multimap }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8dbdbef37038e3d95f772b5866d296f25164f95a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.211ex; margin-bottom: -0.383ex; width:2.582ex; height:1.343ex;" alt="{\displaystyle \multimap }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%B8" class="mw-redirect" title="⊸">⊸</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f:X\multimap Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>:</mo>
+        <mi>X</mi>
+        <mo>&#x22B8;<!-- ⊸ --></mo>
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f:X\multimap Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f3f8b88a4f4dca0a0c4b88d7d291ea18c3ac393" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.841ex; height:2.509ex;" alt="{\displaystyle f:X\multimap Y}"></span>
+</td>
+<td><a href="/wiki/Multimap" title="Multimap">Multimap</a>
+</td>
+<td><code>\multimap</code>
+</td>
+<td><code>&amp;mumap;</code>
+</td>
+<td><code>U+22B8</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Morphisms">Morphisms</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=39" title="Edit section: Morphisms"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \to }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \to }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1daab843254cfcb23a643070cf93f3badc4fbbbd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \to }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">→
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\colon X\to Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>X</mi>
+        <mo stretchy="false">&#x2192;<!-- → --></mo>
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\colon X\to Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07b9ff205beb51e7899846aeae788ae5e5546a3e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.68ex; height:2.509ex;" alt="{\displaystyle f\colon X\to Y}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Morphism" title="Morphism">Morphism</a>
+</td>
+<td rowspan="2"><code>\to</code>
+</td>
+<td rowspan="2"><code>&amp;rarr;</code>
+</td>
+<td rowspan="2"><code>U+2192</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X\,{\stackrel {f}{\to }}\,Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>X</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mo stretchy="false">&#x2192;<!-- → --></mo>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mi>f</mi>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X\,{\stackrel {f}{\to }}\,Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ede3334e77ea51d6f04f3e0b9cc0cc05c7e79f3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.851ex; height:3.843ex;" alt="{\displaystyle X\,{\stackrel {f}{\to }}\,Y}"></span>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mapsto }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x21A6;<!-- ↦ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mapsto }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bc09de045e7d82eef9fe078e7e7606576640c11b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \mapsto }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">↦
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\colon x\mapsto y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>x</mi>
+        <mo stretchy="false">&#x21A6;<!-- ↦ --></mo>
+        <mi>y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\colon x\mapsto y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a052d55c1afcab0a16118128990d5dcaef1abc14" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.412ex; height:2.509ex;" alt="{\displaystyle f\colon x\mapsto y}"></span>
+</td>
+<td rowspan="2"><code>\mapsto</code>
+</td>
+<td rowspan="2"><code>&amp;mapstoright;</code>
+</td>
+<td rowspan="2"><code>U+21A6</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle x\,{\stackrel {f}{\mapsto }}\,y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>x</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mo stretchy="false">&#x21A6;<!-- ↦ --></mo>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mi>f</mi>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle x\,{\stackrel {f}{\mapsto }}\,y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6cb71224eed68615f6e58fabbf28a839e872dca0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.583ex; height:4.176ex;" alt="{\displaystyle x\,{\stackrel {f}{\mapsto }}\,y}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overset {\sim }{\rightarrow }}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mo>&#x223C;<!-- ∼ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overset {\sim }{\rightarrow }}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a4e75cb0c77eea35a31bd88cbad2f37df1b895f1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:2.843ex;" alt="{\displaystyle {\overset {\sim }{\rightarrow }}}"></span>
+</td>
+<td style="text-align: center;">⥲
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\colon X{\overset {\sim }{\rightarrow }}Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>X</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mo stretchy="false">&#x2192;<!-- → --></mo>
+            <mo>&#x223C;<!-- ∼ --></mo>
+          </mover>
+        </mrow>
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\colon X{\overset {\sim }{\rightarrow }}Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9aeaff5b063365e8af835e66051e08245f54a089" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.39ex; height:3.176ex;" alt="{\displaystyle f\colon X{\overset {\sim }{\rightarrow }}Y}"></span>
+</td>
+<td><a href="/wiki/Isomorphism" title="Isomorphism">Isomorphism</a>
+</td>
+<td><code>\tilde{\rightarrow}</code>
+</td>
+<td>
+</td>
+<td><code>U+2972</code>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \hookrightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x21AA;<!-- ↪ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \hookrightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d290ec2c8429155a80b5c447e7aa7c5f231ecd3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.616ex; height:1.843ex;" alt="{\displaystyle \hookrightarrow }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">↪
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\colon X\hookrightarrow Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>X</mi>
+        <mo stretchy="false">&#x21AA;<!-- ↪ --></mo>
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\colon X\hookrightarrow Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dedc3b61ae0de34ff3d957e1c9b9769b6cd74acd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.973ex; height:2.509ex;" alt="{\displaystyle f\colon X\hookrightarrow Y}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Monomorphism" title="Monomorphism">Monomorphism</a>
+</td>
+<td rowspan="2"><small><code>\hookrightarrow</code></small>
+</td>
+<td rowspan="2"><code>&amp;#8618</code>
+</td>
+<td rowspan="2"><code>U+21AA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X\,{\stackrel {f}{\hookrightarrow }}\,Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>X</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mo stretchy="false">&#x21AA;<!-- ↪ --></mo>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mi>f</mi>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X\,{\stackrel {f}{\hookrightarrow }}\,Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a1c9fc97fd5ea95fc745a2156f16391d5f417bf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.144ex; height:3.843ex;" alt="{\displaystyle X\,{\stackrel {f}{\hookrightarrow }}\,Y}"></span>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \twoheadrightarrow }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">&#x21A0;<!-- ↠ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \twoheadrightarrow }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b9c2ec85d900b1485fad362aabc2349a4d54ad3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.19ex; margin-bottom: -0.362ex; width:2.324ex; height:1.343ex;" alt="{\displaystyle \twoheadrightarrow }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">↠
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle f\colon X\twoheadrightarrow Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>f</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>X</mi>
+        <mo stretchy="false">&#x21A0;<!-- ↠ --></mo>
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle f\colon X\twoheadrightarrow Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/245f8c3c6bf7968f9dbdbeda676e959e08870d50" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.68ex; height:2.509ex;" alt="{\displaystyle f\colon X\twoheadrightarrow Y}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Epimorphism" title="Epimorphism">Epimorphism</a>
+</td>
+<td rowspan="2"><small><code>\twoheadrightarrow</code></small>
+</td>
+<td rowspan="2"><code>&amp;#8608</code>
+</td>
+<td rowspan="2"><code>U+21A0</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X\,{\stackrel {f}{\twoheadrightarrow }}\ Y}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>X</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-REL">
+            <mover>
+              <mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
+                <mo stretchy="false">&#x21A0;<!-- ↠ --></mo>
+              </mrow>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mi>f</mi>
+              </mrow>
+            </mover>
+          </mrow>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mi>Y</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X\,{\stackrel {f}{\twoheadrightarrow }}\ Y}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/12f49ae9059d3470377227e242368fcbfbf20a61" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.045ex; height:3.509ex;" alt="{\displaystyle X\,{\stackrel {f}{\twoheadrightarrow }}\ Y}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \hom }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>hom</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \hom }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/548e0502839e66c65e4c586ea7a1449fc593682a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.391ex; height:2.176ex;" alt="{\displaystyle \hom }"></span>
+</td>
+<td style="text-align: center;">hom
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \hom _{C}(X,Y)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi>hom</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>C</mi>
+          </mrow>
+        </msub>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo>,</mo>
+        <mi>Y</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \hom _{C}(X,Y)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8a5b5a03c77379d4017bcc01e9840bbcdc9d2f9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.469ex; height:2.843ex;" alt="{\displaystyle \hom _{C}(X,Y)}"></span>
+</td>
+<td><a href="/wiki/Morphism" title="Morphism">Morphism</a>
+</td>
+<td><code>\hom</code>
+</td>
+<td><code>hom</code>
+</td>
+<td>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Constructions">Constructions</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=40" title="Edit section: Constructions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \prod }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x220F;<!-- ∏ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \prod }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a90a03f5558eba2072a554f4fc0e5c01f6b20a24" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.969ex; height:3.843ex;" alt="{\displaystyle \prod }"></span>
+</td>
+<td style="text-align: center;">∏
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \prod X_{i}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x220F;<!-- ∏ --></mo>
+        <msub>
+          <mi>X</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \prod X_{i}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48c4181a98cbd4b749a01f251e09cf7e4c6e5e49" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:6.08ex; height:3.843ex;" alt="{\displaystyle \prod X_{i}}"></span>
+</td>
+<td><a href="/wiki/Product_(category_theory)" title="Product (category theory)">Product (category theory)</a>
+</td>
+<td><code>\prod</code>
+</td>
+<td><code>&amp;prod;</code>
+</td>
+<td><code>U+220F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \coprod }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2210;<!-- ∐ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \coprod }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/877c60b0d4de74534dd91db6be4259d96349ae9e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.969ex; height:3.843ex;" alt="{\displaystyle \coprod }"></span>
+</td>
+<td style="text-align: center;">∐
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \coprod X_{i}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2210;<!-- ∐ --></mo>
+        <msub>
+          <mi>X</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \coprod X_{i}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a140116c9073253e3a5e1ce9f5cd1d63ee60b50f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:6.08ex; height:3.843ex;" alt="{\displaystyle \coprod X_{i}}"></span>
+</td>
+<td><a href="/wiki/Coproduct" title="Coproduct">Coproduct</a>
+</td>
+<td><code>\coprod</code>
+</td>
+<td><code>&amp;Coproduct;</code>
+</td>
+<td><code>U+2210</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \oplus }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2295;<!-- ⊕ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \oplus }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8b16e2bdaefee9eed86d866e6eba3ac47c710f60" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \oplus }"></span>
+</td>
+<td style="text-align: center;">⊕
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \oplus X_{i}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2295;<!-- ⊕ --></mo>
+        <msub>
+          <mi>X</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>i</mi>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \oplus X_{i}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/40e5f9480c7980f23bb98ecdb2651439c3359db2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.532ex; height:2.509ex;" alt="{\displaystyle \oplus X_{i}}"></span>
+</td>
+<td><a href="/wiki/Biproduct" title="Biproduct">Biproduct</a>
+</td>
+<td><code>\oplus</code>
+</td>
+<td><code>&amp;CirclePlus;</code>
+</td>
+<td><code>U+2295</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \times }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00D7;<!-- × --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \times }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \times }"></span>
+</td>
+<td style="text-align: center;">×
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\times _{C}B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <msub>
+          <mo>&#x00D7;<!-- × --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>C</mi>
+          </mrow>
+        </msub>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\times _{C}B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/235785dc0a82c7e9c2d9c39671e7f12438564200" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.829ex; height:2.509ex;" alt="{\displaystyle A\times _{C}B}"></span>
+</td>
+<td><a href="/wiki/Pullback_(category_theory)" title="Pullback (category theory)">Pullback (category theory)</a>
+</td>
+<td><code>\times</code>
+</td>
+<td><code>&amp;times;</code>
+</td>
+<td><code>U+00D7</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">lim</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f3492ce8a823c21000f46e64db14732db9a8cce" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.23ex; height:2.176ex;" alt="{\displaystyle \lim }"></span>
+</td>
+<td style="text-align: center;">lim
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lim F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">lim</mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lim F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/beef0037fd99d5e5f2551fc281e0e78094701f69" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.357ex; height:2.176ex;" alt="{\displaystyle \lim F}"></span>
+</td>
+<td><a href="/wiki/Limit_(category_theory)" title="Limit (category theory)">Limit (category theory)</a>
+</td>
+<td><code>\lim</code>
+</td>
+<td><code>lim</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \projlim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">proj&#x2006;lim</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \projlim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1ba9bbe682fade5afbb970cbef669b898c318f19" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.696ex; height:2.509ex;" alt="{\displaystyle \projlim }"></span>
+</td>
+<td style="text-align: center;">projlim
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \projlim F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">proj&#x2006;lim</mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \projlim F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e7c14bab863a65bd8abc8ea51af451c50f89a4b6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.824ex; height:2.509ex;" alt="{\displaystyle \projlim F}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Inverse_limit" title="Inverse limit">Inverse limit</a>
+</td>
+<td><code>\projlim</code>
+</td>
+<td><code>projlim</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varprojlim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <munder>
+            <mi>lim</mi>
+            <mo>&#x2190;<!-- ← --></mo>
+          </munder>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varprojlim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f742f0ca71dad3a357440193bd488b321f965c74" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.637ex; margin-bottom: -0.367ex; width:3.425ex; height:3.843ex;" alt="{\displaystyle \varprojlim }"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varprojlim F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <munder>
+            <mi>lim</mi>
+            <mo>&#x2190;<!-- ← --></mo>
+          </munder>
+        </mrow>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varprojlim F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2def34c76270b7009f4e873f685198e88f20c804" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.637ex; margin-bottom: -0.367ex; width:5.553ex; height:3.843ex;" alt="{\displaystyle \varprojlim F}"></span>
+</td>
+<td><code>\varprojlim</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \injlim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">inj&#x2006;lim</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \injlim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6b8df3d785c12a509a346b1a8a905387d244ebc8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.269ex; height:2.509ex;" alt="{\displaystyle \injlim }"></span>
+</td>
+<td style="text-align: center;">injlim
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \injlim F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo movablelimits="true" form="prefix">inj&#x2006;lim</mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \injlim F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bea9313b2689f495e4027c81122a044b1a8eaf5c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.397ex; height:2.509ex;" alt="{\displaystyle \injlim F}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Direct_limit" title="Direct limit">Direct limit</a>
+</td>
+<td><code>\injlim</code>
+</td>
+<td><code>injlim</code>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varinjlim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <munder>
+            <mi>lim</mi>
+            <mo>&#x2192;<!-- → --></mo>
+          </munder>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varinjlim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0753732a44a7b3d11249c0b1f344a457a3cb7178" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.637ex; margin-bottom: -0.367ex; width:3.36ex; height:3.843ex;" alt="{\displaystyle \varinjlim }"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varinjlim F}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-OP">
+          <munder>
+            <mi>lim</mi>
+            <mo>&#x2192;<!-- → --></mo>
+          </munder>
+        </mrow>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>F</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varinjlim F}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e22aeb0114c8f7a2dd76624ec831b46a0c191565" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.637ex; margin-bottom: -0.367ex; width:5.488ex; height:3.843ex;" alt="{\displaystyle \varinjlim F}"></span>
+</td>
+<td><code>\varinjlim</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Set_theory">Set theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=41" title="Edit section: Set theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Definition_symbols">Definition symbols</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=42" title="Edit section: Definition symbols"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td rowspan="3" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \colon }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x003A;<!-- : --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \colon }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f2e6c5693c4d5334c475a3c5c696d20f65ec7993" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:1.676ex;" alt="{\displaystyle \colon }"></span>
+</td>
+<td rowspan="3" style="text-align: center;">:
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\colon B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\colon B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/004ee011e0ceae1e8a4e31ad8f4ec66124207e9a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.541ex; height:2.176ex;" alt="{\displaystyle A\colon B}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Definition" title="Definition">Definition</a>
+</td>
+<td rowspan="3"><code>\colon</code>
+</td>
+<td rowspan="3"><code>&amp;colon;</code>
+</td>
+<td rowspan="3"><code>U+003A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\colon =B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mo>=</mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\colon =B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a57628b2549de5c3a9cb5e33f7001b9f3b8e35f9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.994ex; height:2.176ex;" alt="{\displaystyle A\colon =B}"></span>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\colon \Leftrightarrow B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mo stretchy="false">&#x21D4;<!-- ⇔ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\colon \Leftrightarrow B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/50e8fe58707e5e39f9650407a3b43ed9c6a822da" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.51ex; height:2.176ex;" alt="{\displaystyle A\colon \Leftrightarrow B}"></span>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Set_construction">Set construction</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=43" title="Edit section: Set construction"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varnothing }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi class="MJX-variant">&#x2205;<!-- ∅ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varnothing }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/00595c5e33692e724937fdcc8870496acce1ac74" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.009ex;" alt="{\displaystyle \varnothing }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%85" class="mw-redirect" title="∅">∅</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \varnothing =\{\;\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi class="MJX-variant">&#x2205;<!-- ∅ --></mi>
+        <mo>=</mo>
+        <mo fence="false" stretchy="false">{</mo>
+        <mspace width="thickmathspace" />
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \varnothing =\{\;\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d1f3e6600ac02138b523f583ca3f7beb0caa8f9c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.877ex; height:2.843ex;" alt="{\displaystyle \varnothing =\{\;\}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Empty_set" title="Empty set">Empty set</a>
+</td>
+<td><code>\varnothing</code>
+</td>
+<td><code>&amp;varnothing;</code><br /><code>&amp;empty;</code>
+</td>
+<td><code>U+2205</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \emptyset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2205;<!-- ∅ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \emptyset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6af50205f42bb2ec3c666b7b847d2c7f96e464c7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.162ex; height:2.509ex;" alt="{\displaystyle \emptyset }"></span>
+</td>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;">
+</td>
+<td><code>\emptyset</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \{~\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">{</mo>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \{~\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/54ad28e5d3b475ded7133dc960d24f1ea2b25cc0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.906ex; height:2.843ex;" alt="{\displaystyle \{~\}}"></span>
+</td>
+<td style="text-align: center;">{ }
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \{a,b,\ldots \}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">{</mo>
+        <mi>a</mi>
+        <mo>,</mo>
+        <mi>b</mi>
+        <mo>,</mo>
+        <mo>&#x2026;<!-- … --></mo>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \{a,b,\ldots \}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5a6ec97d601425fa227eeffb5a35d02f4fcc6272" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.343ex; height:2.843ex;" alt="{\displaystyle \{a,b,\ldots \}}"></span>
+</td>
+<td rowspan="4"><span class="nowrap"><a href="/wiki/Set_(mathematics)" title="Set (mathematics)">Set (mathematics)</a></span>
+</td>
+<td><code>\{</code>&#160;<code>\}</code><br /><span class="nowrap"><code>\lbrace</code>&#160;<code>\rbrace</code></span>
+</td>
+<td><code>&amp;lcub;</code>&#160;<code>&amp;rcub;</code>
+</td>
+<td><code>U+007B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mid }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2223;<!-- ∣ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mid }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f7b2136e276c4aec285a6c40b91180c16432b9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:0.647ex; height:2.843ex;" alt="{\displaystyle \mid }"></span>
+</td>
+<td style="text-align: center;">|
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \{a\mid T(a)\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">{</mo>
+        <mi>a</mi>
+        <mo>&#x2223;<!-- ∣ --></mo>
+        <mi>T</mi>
+        <mo stretchy="false">(</mo>
+        <mi>a</mi>
+        <mo stretchy="false">)</mo>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \{a\mid T(a)\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f997a85f4af601b57d8e9c985789048cc56df43e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.167ex; height:2.843ex;" alt="{\displaystyle \{a\mid T(a)\}}"></span>
+</td>
+<td><code>\mid</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \colon }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x003A;<!-- : --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \colon }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f2e6c5693c4d5334c475a3c5c696d20f65ec7993" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:1.676ex;" alt="{\displaystyle \colon }"></span>
+</td>
+<td rowspan="2" style="text-align: center;">:
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \{a\colon T(a)\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">{</mo>
+        <mi>a</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>T</mi>
+        <mo stretchy="false">(</mo>
+        <mi>a</mi>
+        <mo stretchy="false">)</mo>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \{a\colon T(a)\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6c7eb6d2ab2cb7a13aae7b2a0ed5899f7e04cb02" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.264ex; height:2.843ex;" alt="{\displaystyle \{a\colon T(a)\}}"></span>
+</td>
+<td><code>\colon</code>
+</td>
+<td rowspan="2"><code>&amp;colon;</code>
+</td>
+<td rowspan="2"><code>U+003A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle :}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>:</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle :}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd064c6ce80ad9a8e53adebb7ad51b7635fceb0f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:1.676ex;" alt="{\displaystyle :}"></span>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \{a:T(a)\}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">{</mo>
+        <mi>a</mi>
+        <mo>:</mo>
+        <mi>T</mi>
+        <mo stretchy="false">(</mo>
+        <mi>a</mi>
+        <mo stretchy="false">)</mo>
+        <mo fence="false" stretchy="false">}</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \{a:T(a)\}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e043ed3702b4b9142c27059a9821e4b2db6cfb45" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.167ex; height:2.843ex;" alt="{\displaystyle \{a:T(a)\}}"></span>
+</td>
+<td><code>:</code>
+</td></tr></tbody></table>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cap }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2229;<!-- ∩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cap }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d4e886e6f5a28a33e073fb108440c152ecfe2d3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \cap }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%A9" class="mw-redirect" title="∩">∩</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\cap B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2229;<!-- ∩ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\cap B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bb27b38cf9eac6060e67b61f66cd9beec5067f81" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\cap B}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Intersection_(set_theory)" title="Intersection (set theory)">Intersection (set theory)</a>
+</td>
+<td><code>\cap</code>
+</td>
+<td><code>&amp;cap;</code>
+</td>
+<td><code>U+2229</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigcap }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C2;<!-- ⋂ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigcap }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c0adfc18fcdbe3b7df28d94884ec24ca3ecc937b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:3.843ex;" alt="{\displaystyle \bigcap }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8B%82" class="mw-redirect" title="⋂">⋂</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigcap _{S\in P}S}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo>&#x22C2;<!-- ⋂ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>S</mi>
+            <mo>&#x2208;<!-- ∈ --></mo>
+            <mi>P</mi>
+          </mrow>
+        </munder>
+        <mi>S</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigcap _{S\in P}S}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5036c6d0984968554472476cce2cce73c845f54" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:5.277ex; height:5.676ex;" alt="{\displaystyle \bigcap _{S\in P}S}"></span>
+</td>
+<td><code>\bigcap</code>
+</td>
+<td><code>&amp;xcap;</code><br /><code>&amp;Intersection;</code>
+</td>
+<td><code>U+22C2</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x222A;<!-- ∪ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e8ff7d0293ad19b43524a133ae5129f3d71f2040" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \cup }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%AA" class="mw-redirect" title="∪">∪</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\cup B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x222A;<!-- ∪ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\cup B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cdb575990bcfbcdf616aa6fd76e8b30bf7fd2169" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\cup B}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Union_(set_theory)" title="Union (set theory)">Union (set theory)</a>
+</td>
+<td><code>\cup</code>
+</td>
+<td><code>&amp;cup;</code>
+</td>
+<td><code>U+222A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigcup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C3;<!-- ⋃ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigcup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6c8895b795ad31e5155a74b83db7efbb26af6f4f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:3.843ex;" alt="{\displaystyle \bigcup }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8B%83" class="mw-redirect" title="⋃">⋃</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigcup _{S\in P}S}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo>&#x22C3;<!-- ⋃ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>S</mi>
+            <mo>&#x2208;<!-- ∈ --></mo>
+            <mi>P</mi>
+          </mrow>
+        </munder>
+        <mi>S</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigcup _{S\in P}S}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec68597eef4e37af0644c85025832e913b48e76b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:5.277ex; height:5.676ex;" alt="{\displaystyle \bigcup _{S\in P}S}"></span>
+</td>
+<td><code>\bigcup</code>
+</td>
+<td><code>&amp;xcup;</code><br /><code>&amp;Union;</code>
+</td>
+<td><code>U+22C3</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \setminus }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo class="MJX-variant">&#x2216;<!-- ∖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \setminus }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d0e20e45087a97f0448fc3d4bc27b060084830f4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle \setminus }"></span>
+</td>
+<td rowspan="2" style="text-align: center;"><a href="/wiki/%E2%88%96" class="mw-redirect" title="∖">∖</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\setminus B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo class="MJX-variant">&#x2216;<!-- ∖ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\setminus B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aef797ed5deb971321592e34281d9fac27c3249d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.702ex; height:2.843ex;" alt="{\displaystyle A\setminus B}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Difference_(set_theory)" class="mw-redirect" title="Difference (set theory)">Difference (set theory)</a>
+</td>
+<td><code>\setminus</code>
+</td>
+<td rowspan="2"><code>&amp;setminus;</code><br /><code>&amp;smallsetminus;</code>
+</td>
+<td rowspan="2"><code>U+2216</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \smallsetminus }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2216;<!-- ∖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \smallsetminus }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37b6885cdf445fbb29eea5faffc05cdad639a9b2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.676ex;" alt="{\displaystyle \smallsetminus }"></span>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\smallsetminus B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2216;<!-- ∖ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\smallsetminus B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/66289181890f5d786bbc63e6bc7618b3c6b571d0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.348ex; height:2.176ex;" alt="{\displaystyle A\smallsetminus B}"></span>
+</td>
+<td><code>\smallsetminus</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \triangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x25B3;<!-- △ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \triangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d909fe94e8277a4c44a50853cb7dbbf0fa3148ed" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.066ex; height:2.176ex;" alt="{\displaystyle \triangle }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/Symmetric_difference" title="Symmetric difference">∆</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\,\triangle \,B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thinmathspace" />
+        <mi mathvariant="normal">&#x25B3;<!-- △ --></mi>
+        <mspace width="thinmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\,\triangle \,B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1077cee197035aa2ba3d088f2122bca1915cdd11" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.347ex; height:2.176ex;" alt="{\displaystyle A\,\triangle \,B}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Symmetric_difference" title="Symmetric difference">Symmetric difference</a>
+</td>
+<td><code>\triangle</code>
+</td>
+<td><code>&amp;Delta;</code>
+</td>
+<td><code>U+2206</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ominus }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2296;<!-- ⊖ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ominus }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8a5d20fe7e97d90a5d1afd1054c89385364be553" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \ominus }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/Symmetric_difference" title="Symmetric difference">⊖</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\ominus B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2296;<!-- ⊖ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\ominus B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ddd5c8d3fdf145dc31b779da31b1d8793d4fc059" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.348ex; height:2.343ex;" alt="{\displaystyle A\ominus B}"></span>
+</td>
+<td><code>\ominus</code>
+</td>
+<td><code>&amp;CircleMinus;</code>
+</td>
+<td><code>U+2296</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \times }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00D7;<!-- × --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \times }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \times }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%A8%AF" class="mw-redirect" title="⨯">⨯</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\times B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x00D7;<!-- × --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\times B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65f31ae45b0098f06b5d22c38d317eb097a88fa9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.348ex; height:2.176ex;" alt="{\displaystyle A\times B}"></span>
+</td>
+<td><a href="/wiki/Cartesian_product" title="Cartesian product">Cartesian product</a>
+</td>
+<td><code>\times</code>
+</td>
+<td><code>&amp;times;</code>
+</td>
+<td><code>U+2A2F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\dot {\cap }}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>&#x2229;<!-- ∩ --></mo>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\dot {\cap }}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/16a2715d73428e78a7e71bfa30797cad1e53198e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.509ex;" alt="{\displaystyle {\dot {\cap }}}"></span>
+</td>
+<td style="text-align: center;"><a href="/w/index.php?title=%E2%A9%80&amp;action=edit&amp;redlink=1" class="new" title="⩀ (page does not exist)">⩀</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\,{\dot {\cap }}\,B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>&#x2229;<!-- ∩ --></mo>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\,{\dot {\cap }}\,B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df9598dfd01ed9e65b1158ff9438e049d34e90a3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.832ex; height:2.509ex;" alt="{\displaystyle A\,{\dot {\cap }}\,B}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Intersection_(set_theory)" title="Intersection (set theory)">Intersection (set theory)</a>
+</td>
+<td><code>\dot\cap</code>
+</td>
+<td><code>&amp;capdot;</code>
+</td>
+<td><code>U+2A40</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqcap }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2293;<!-- ⊓ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqcap }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c38557c8237ae62e49439282c30dc8cf5d223528" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \sqcap }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%93" title="⊓">⊓</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\sqcap B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2293;<!-- ⊓ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\sqcap B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e914eb2c4dd2362f3cdbc0fdff14b05bf680aa2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\sqcap B}"></span>
+</td>
+<td><code>\sqcap</code>
+</td>
+<td><code>&amp;SquareIntersection;</code>
+</td>
+<td><code>U+2293</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;"><a href="/w/index.php?title=%E2%A9%84&amp;action=edit&amp;redlink=1" class="new" title="⩄ (page does not exist)">⩄</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td><code>\capwedge</code>
+</td>
+<td><code>&amp;capand;</code>
+</td>
+<td><code>U+2A44</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\dot {\cup }}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>&#x222A;<!-- ∪ --></mo>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\dot {\cup }}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ca2f2880f761544ce268abf4057fcc1f50c0e12" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.509ex;" alt="{\displaystyle {\dot {\cup }}}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%8D" class="mw-redirect" title="⊍">⊍</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\,{\dot {\cup }}\,B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mspace width="thinmathspace" />
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mo>&#x222A;<!-- ∪ --></mo>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+        <mspace width="thinmathspace" />
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\,{\dot {\cup }}\,B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d48c190157d9863fd1147f37df3a9a4beab140b4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.832ex; height:2.509ex;" alt="{\displaystyle A\,{\dot {\cup }}\,B}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Disjoint_union" title="Disjoint union">Disjoint union</a>
+</td>
+<td><code>\dot\cup</code>
+</td>
+<td><code>&amp;cupdot;</code>
+</td>
+<td><code>U+228D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \uplus }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x228E;<!-- ⊎ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \uplus }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1dd23bfcafcbbe1cf39aade17a710657a9f54e73" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \uplus }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%8E" class="mw-redirect" title="⊎">⊎</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\uplus B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x228E;<!-- ⊎ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\uplus B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78cf92af3c4e5f93974e92b093771876a143d30f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\uplus B}"></span>
+</td>
+<td><code>\uplus</code>
+</td>
+<td><code>&amp;uplus;</code>
+</td>
+<td><code>U+228E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqcup }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2294;<!-- ⊔ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqcup }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1596aedf354da694149e44ce2bf53ede54eca8cb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \sqcup }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%94" class="mw-redirect" title="⊔">⊔</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\sqcup B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2294;<!-- ⊔ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\sqcup B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/30206a16da3623a1244336c395f9f268b69c4aef" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.09ex; height:2.176ex;" alt="{\displaystyle A\sqcup B}"></span>
+</td>
+<td><code>\sqcup</code>
+</td>
+<td><code>&amp;SquareUnion;</code>
+</td>
+<td><code>U+2294</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%AB%9B" class="mw-redirect" title="⫛">⫛</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td><a href="/wiki/Transversality_(mathematics)" title="Transversality (mathematics)">Transversal intersection</a>
+</td>
+<td><code>\mlcp</code>
+</td>
+<td><code>&amp;mlcp;</code>
+</td>
+<td><code>U+2ADB</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\complement }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>&#x2201;<!-- ∁ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\complement }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c585900816548e1a390c3f082ad3f9feef7d390b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.843ex;" alt="{\displaystyle {}^{\complement }}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%81" class="mw-redirect" title="∁">∁</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\complement }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>&#x2201;<!-- ∁ --></mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\complement }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e02346e3f6e10452080e6f3a7326e0aa2185dc2a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.797ex; height:3.009ex;" alt="{\displaystyle A^{\complement }}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Complement_(set_theory)" title="Complement (set theory)">Complement (set theory)</a>
+</td>
+<td><code>^\complement</code>
+</td>
+<td><code>&amp;complement;</code>
+</td>
+<td><code>U+2201</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\mathrm {C} }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi mathvariant="normal">C</mi>
+            </mrow>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\mathrm {C} }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5ba9cd2995247182cfccc6ff9ac4a2602dc58c9c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.419ex; height:2.509ex;" alt="{\displaystyle {}^{\mathrm {C} }}"></span>
+</td>
+<td style="text-align: center;"><span style="font-family:Roman;font-size:100%;color:black;background-color:transparent;;">C</span>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A^{\mathrm {C} }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>A</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi mathvariant="normal">C</mi>
+            </mrow>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A^{\mathrm {C} }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/caf984cc05da62cb6f301dfeea206bf1c874ec28" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.162ex; height:2.676ex;" alt="{\displaystyle A^{\mathrm {C} }}"></span>
+</td>
+<td><code>^{\mathrm C}</code>
+</td>
+<td><code>&amp;complement;</code>
+</td>
+<td><code>U+2201</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/768bacda8640617e7a9ee2f01f86f21a40ddf4e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\bar {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {z}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>z</mi>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {z}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52dd0599595d539f7d757ec21da6c6e6ac3ad427" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.296ex; height:2.009ex;" alt="{\displaystyle {\bar {z}}}"></span>
+</td>
+<td><code>\bar{}</code>
+</td>
+<td><code>&amp;#x304;</code>
+</td>
+<td><code>U+0304</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a91edff755a91d1bbd8d9e6ec5da35190ad0ca2c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.276ex; height:1.676ex;" alt="{\displaystyle {\overline {~~}}}"></span>
+</td>
+<td style="text-align: center;">◌̅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {A}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mi>A</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {A}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92efef0e89bdc77f6a848764195ef5b9d9bfcc6a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.858ex; height:3.009ex;" alt="{\displaystyle {\overline {A}}}"></span>
+</td>
+<td><code>\overline{}</code>
+</td>
+<td>
+</td>
+<td><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \wp }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2118;<!-- ℘ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \wp }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f4050ebf63686af152bf1ef5caabcdf2a2d812cf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.478ex; height:2.176ex;" alt="{\displaystyle \wp }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%84%98" class="mw-redirect" title="℘">℘</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \wp (A)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2118;<!-- ℘ --></mi>
+        <mo stretchy="false">(</mo>
+        <mi>A</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \wp (A)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32728013f461acdf9fc95ff820f251a56c854129" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.031ex; height:2.843ex;" alt="{\displaystyle \wp (A)}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Power_set" title="Power set">Power set</a>
+</td>
+<td><code>\wp</code>
+</td>
+<td><code>&amp;wp;</code>
+</td>
+<td><code>U+2118</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathcal {P}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-tex-caligraphic" mathvariant="script">P</mi>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathcal {P}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/10d6ec962de5797ba4f161c40e66dca74ae95cc6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.704ex; height:2.176ex;" alt="{\displaystyle {\mathcal {P}}}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%F0%9D%92%AB" class="mw-redirect" title="𝒫">𝒫</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathcal {P}}(A)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-tex-caligraphic" mathvariant="script">P</mi>
+          </mrow>
+        </mrow>
+        <mo stretchy="false">(</mo>
+        <mi>A</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathcal {P}}(A)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1757ec21abe0a22f8e91b51fe3e6ac4ea63a9122" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.256ex; height:2.843ex;" alt="{\displaystyle {\mathcal {P}}(A)}"></span>
+</td>
+<td><code>\mathcal{P}</code>
+</td>
+<td><code>&amp;Pscr;</code>
+</td>
+<td><code>U+1D4AB</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathfrak {P}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi mathvariant="fraktur">P</mi>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathfrak {P}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f306de895b1fd787a364c508badc106b1ff73e18" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.924ex; height:2.676ex;" alt="{\displaystyle {\mathfrak {P}}}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%F0%9D%94%93" class="mw-redirect" title="𝔓">𝔓</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathfrak {P}}(A)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi mathvariant="fraktur">P</mi>
+          </mrow>
+        </mrow>
+        <mo stretchy="false">(</mo>
+        <mi>A</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathfrak {P}}(A)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee174b5df67af0faa0ffe0f67552a71daca67418" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.477ex; height:2.843ex;" alt="{\displaystyle {\mathfrak {P}}(A)}"></span>
+</td>
+<td><code>\mathfrak{P}</code>
+</td>
+<td><code>&amp;Pfr;</code>
+</td>
+<td><code>U+1D513</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigwedge }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C0;<!-- ⋀ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigwedge }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b20eaee46377072a177e3577ea439d142574f6aa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:3.843ex;" alt="{\displaystyle \bigwedge }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8B%80" class="mw-redirect" title="⋀">⋀</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigwedge \limits _{x\in A}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="false">&#x22C0;<!-- ⋀ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo>&#x2208;<!-- ∈ --></mo>
+            <mi>A</mi>
+          </mrow>
+        </munder>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigwedge \limits _{x\in A}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4953f83df92c394c8ab2ca41426c69113b9acf79" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:3.269ex; height:5.676ex;" alt="{\displaystyle \bigwedge \limits _{x\in A}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Infimum_and_supremum" title="Infimum and supremum">Infimum and supremum</a>
+</td>
+<td><code>\bigwedge</code><br /><code>\bigwedge\limits_{}</code>
+</td>
+<td><code>&amp;Wedge;</code>
+</td>
+<td><code>U+22C0</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigvee }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C1;<!-- ⋁ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigvee }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/424eb787b9be7b652deb858148ac5412c317aebf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:3.843ex;" alt="{\displaystyle \bigvee }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8B%81" class="mw-redirect" title="⋁">⋁</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigvee \limits _{x\in A}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <munder>
+          <mo movablelimits="false">&#x22C1;<!-- ⋁ --></mo>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>x</mi>
+            <mo>&#x2208;<!-- ∈ --></mo>
+            <mi>A</mi>
+          </mrow>
+        </munder>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigvee \limits _{x\in A}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/281100bc9a29bb61410fbecf9ba2775c8ceb608e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:3.269ex; height:5.676ex;" alt="{\displaystyle \bigvee \limits _{x\in A}}"></span>
+</td>
+<td><code>\bigvee</code><br /><code>\bigvee\limits_{}</code>
+</td>
+<td><code>&amp;xvee;</code>
+</td>
+<td><code>U+22C1</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Set_relations">Set relations</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=45" title="Edit section: Set relations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \subset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2282;<!-- ⊂ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \subset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f51f0eeff0c2a9dcb9c856f87ca0359e701ef01" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \subset }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%82" class="mw-redirect" title="⊂">⊂</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\subset B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2282;<!-- ⊂ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\subset B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/010e98bb4c817357e3ef7e8fa7fbe2385b2aec6e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.606ex; height:2.176ex;" alt="{\displaystyle A\subset B}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Subset" title="Subset">Subset</a>
+</td>
+<td><code>\subset</code>
+</td>
+<td><code>&amp;sub;</code>
+</td>
+<td><code>U+2282</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \subsetneq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x228A;<!-- ⊊ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \subsetneq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ccda11a9c5eb10088602771f7c0f05ffea7f41c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \subsetneq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%8A" class="mw-redirect" title="⊊">⊊</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\subsetneq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x228A;<!-- ⊊ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\subsetneq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7bf81e9a4a81df2d596b4db1cde6b9bdf82c73db" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.606ex; height:2.676ex;" alt="{\displaystyle A\subsetneq B}"></span>
+</td>
+<td><code>\subsetneq</code>
+</td>
+<td><code>&amp;subne;</code>
+</td>
+<td><code>U+228A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \subseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2286;<!-- ⊆ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \subseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a924f8dcb2847bb8871edfdbf4c6b5cca0669228" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \subseteq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%86" class="mw-redirect" title="⊆">⊆</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\subseteq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2286;<!-- ⊆ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\subseteq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b09068bd2f7ba899aeb883ebe670b2ad07b0c851" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.606ex; height:2.343ex;" alt="{\displaystyle A\subseteq B}"></span>
+</td>
+<td><code>\subseteq</code>
+</td>
+<td><code>&amp;sube;</code>
+</td>
+<td><code>U+2286</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%9F%83" class="mw-redirect" title="⟃">⟃</a>
+</td>
+<td style="text-align: center;"><span class="texhtml"><i>A</i> ⟃ <i>B</i></span>
+</td>
+<td rowspan="1">
+</td>
+<td><code>\subsetcirc</code>
+</td>
+<td><code>&amp;#x27C3;</code>
+</td>
+<td><code>U+27C3</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \supset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2283;<!-- ⊃ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \supset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/27bfe0828a2ed4c9c6b70987a85c02a1f005843c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \supset }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%83" class="mw-redirect" title="⊃">⊃</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\supset B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2283;<!-- ⊃ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\supset B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee952838d8b3e67045072a8f2b71e7fc0467dea6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.606ex; height:2.176ex;" alt="{\displaystyle A\supset B}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Superset" class="mw-redirect" title="Superset">Superset</a>
+</td>
+<td><code>\supset</code>
+</td>
+<td><code>&amp;sup;</code>
+</td>
+<td><code>U+2283</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \supsetneq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x228B;<!-- ⊋ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \supsetneq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b84cda99291cdfefb94e6f580e14da12d3f43009" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \supsetneq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%8B" class="mw-redirect" title="⊋">⊋</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\supsetneq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x228B;<!-- ⊋ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\supsetneq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5750ecda0fc5db9484186800f93db8356a0203f3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.606ex; height:2.676ex;" alt="{\displaystyle A\supsetneq B}"></span>
+</td>
+<td><code>\supsetneq</code>
+</td>
+<td><code>&amp;supne;</code>
+</td>
+<td><code>U+228B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \supseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2287;<!-- ⊇ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \supseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c8a31abf11074afa03a75eba80bfce6b98020e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \supseteq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%87" class="mw-redirect" title="⊇">⊇</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\supseteq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2287;<!-- ⊇ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\supseteq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3a850135681c15f853054e260d1ceb284732d5fa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.606ex; height:2.343ex;" alt="{\displaystyle A\supseteq B}"></span>
+</td>
+<td><code>\supseteq</code>
+</td>
+<td><code>&amp;supe;</code>
+</td>
+<td><code>U+2287</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%9F%84" class="mw-redirect" title="⟄">⟄</a>
+</td>
+<td style="text-align: center;"><span class="texhtml"><i>A</i> ⟄ <i>B</i></span>
+</td>
+<td rowspan="1">
+</td>
+<td><code>\supsetcirc</code>
+</td>
+<td><code>&amp;#x27C4;</code>
+</td>
+<td><code>U+27C4</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \subset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2284;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \subset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5b8e16e392d3856efb6355f906bf3d7b35f7f2ec" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.809ex; height:2.676ex;" alt="{\displaystyle \not \subset }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%84" class="mw-redirect" title="⊄">⊄</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\not \subset B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2284;</mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\not \subset B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/249b06571e2fd81d7f858ac643db8b7c4414bdb5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.607ex; height:2.676ex;" alt="{\displaystyle A\not \subset B}"></span>
+</td>
+<td>
+</td>
+<td><code>\not\subset</code>
+</td>
+<td><code>&amp;nsub;</code>
+</td>
+<td><code>U+2284</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \supset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2285;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \supset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0066ef658b08a8a21cf267a4e5bec61bc03fcb73" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.809ex; height:2.676ex;" alt="{\displaystyle \not \supset }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%85" class="mw-redirect" title="⊅">⊅</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\not \supset B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2285;</mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\not \supset B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eee1a908aa909ea7c4b0079ed21ee2aed3bbecd1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.607ex; height:2.676ex;" alt="{\displaystyle A\not \supset B}"></span>
+</td>
+<td><a href="/wiki/Superset" class="mw-redirect" title="Superset">Superset</a>
+</td>
+<td><code>\not\supset</code>
+</td>
+<td><code>&amp;nsup;</code>
+</td>
+<td><code>U+2285</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \subseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2288;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \subseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fa22d28f38acd68fcce64d2536a706c88591eea" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.176ex;" alt="{\displaystyle \not \subseteq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%88" class="mw-redirect" title="⊈">⊈</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\not \subseteq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2288;</mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\not \subseteq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b719a8e35a657b8c373f562c49e2582d8981c889" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:6.606ex; height:3.176ex;" alt="{\displaystyle A\not \subseteq B}"></span>
+</td>
+<td>
+</td>
+<td><code>\not\subseteq</code>
+</td>
+<td><code>&amp;NotSubsetEqual;</code>
+</td>
+<td><code>U+2288</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \supseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2289;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \supseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f01a52c6e4e6ad6d7d628b8eebcfbca6b41b813f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.176ex;" alt="{\displaystyle \not \supseteq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%89" class="mw-redirect" title="⊉">⊉</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\not \supseteq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2289;</mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\not \supseteq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5a39844137fe3cd59618b5936c805a5ef0cf5344" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:6.606ex; height:3.176ex;" alt="{\displaystyle A\not \supseteq B}"></span>
+</td>
+<td><a href="/wiki/Superset" class="mw-redirect" title="Superset">Superset</a>
+</td>
+<td><code>\not\supseteq</code>
+</td>
+<td><code>&amp;NotSupersetEqual;</code>
+</td>
+<td><code>U+2289</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \in }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2208;<!-- ∈ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \in }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6fe4d5b0a594c1da89b5e78e7dfbeed90bdcc32f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:1.843ex;" alt="{\displaystyle \in }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%88" class="mw-redirect" title="∈">∈</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\in A}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2208;<!-- ∈ --></mo>
+        <mi>A</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\in A}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a97387981adb5d65f74518e20b6785a284d7abd5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.814ex; height:2.176ex;" alt="{\displaystyle a\in A}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Element_(mathematics)" title="Element (mathematics)">Element (mathematics)</a>
+</td>
+<td><code>\in</code>
+</td>
+<td><code>&amp;isin;</code>
+</td>
+<td><code>U+2208</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ni }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x220B;<!-- ∋ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ni }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91c3deaee7d8f5b0a1dc4c3913acdf15044b8eb3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:1.843ex;" alt="{\displaystyle \ni }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%8B" class="mw-redirect" title="∋">∋</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\ni a}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x220B;<!-- ∋ --></mo>
+        <mi>a</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\ni a}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5c041060d76b4f9b9e6e813cfd586a7dd7344e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.814ex; height:2.176ex;" alt="{\displaystyle A\ni a}"></span>
+</td>
+<td><code>\ni</code>, <code>\owns</code>
+</td>
+<td><code>&amp;ni;</code>
+</td>
+<td><code>U+220B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \notin }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2209;<!-- ∉ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \notin }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33dea9a3a3f311cc734ffd570e8f697ea1560a90" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.55ex; height:2.676ex;" alt="{\displaystyle \notin }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%89" class="mw-redirect" title="∉">∉</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\notin A}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2209;<!-- ∉ --></mo>
+        <mi>A</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\notin A}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d5efa48c00ed3192c836fa8eab8b63d14254967" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.814ex; height:2.676ex;" alt="{\displaystyle a\notin A}"></span>
+</td>
+<td><code>\notin</code>, <code>\not\in</code>
+</td>
+<td><code>&amp;notin;</code>
+</td>
+<td><code>U+2209</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \ni }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x220C;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \ni }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d182e393f33169740158139800ecf17f558aeff" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.551ex; height:2.676ex;" alt="{\displaystyle \not \ni }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%8C" class="mw-redirect" title="∌">∌</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\not \ni a}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x220C;</mo>
+        <mi>a</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\not \ni a}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19dec0e0cd590972412ef227f47a75ffae776eef" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.815ex; height:2.676ex;" alt="{\displaystyle A\not \ni a}"></span>
+</td>
+<td><code>\not\ni</code>
+</td>
+<td><code>&amp;NotReverseElement;</code>
+</td>
+<td><code>U+220C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsubset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x228F;<!-- ⊏ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsubset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/253e61eb6d16e0da87bfb1868f0560c56e213262" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \sqsubset }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%8F" title="⊏">⊏</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\sqsubset B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x228F;<!-- ⊏ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\sqsubset B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4af25e79e494eec45ec653aee85327fad33007f0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.606ex; height:2.176ex;" alt="{\displaystyle A\sqsubset B}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Substring" title="Substring">Substring</a>
+</td>
+<td><code>\sqsubset</code>
+</td>
+<td><code>&amp;SquareSubset;</code>
+</td>
+<td><code>U+228F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsupset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2290;<!-- ⊐ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsupset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/918635466c7692b99a07a276fa4c63f6899c8021" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \sqsupset }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%90" title="⊐">⊐</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\sqsupset B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2290;<!-- ⊐ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\sqsupset B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19ac69b19fea23ac31c499f25ec506047e32ab65" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.606ex; height:2.176ex;" alt="{\displaystyle A\sqsupset B}"></span>
+</td>
+<td><code>\sqsupset</code>
+</td>
+<td><code>&amp;SquareSuperset;</code>
+</td>
+<td><code>U+2290</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsubseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2291;<!-- ⊑ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsubseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af6da11aff8e51f703a5961c97ab99d532731e3d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \sqsubseteq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%91" title="⊑">⊑</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\sqsubseteq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2291;<!-- ⊑ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\sqsubseteq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/45e25136eccf3da0af4896a44dd2cb30abcdb728" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.606ex; height:2.343ex;" alt="{\displaystyle A\sqsubseteq B}"></span>
+</td>
+<td><code>\sqsubseteq</code>
+</td>
+<td><code>&amp;sqsubseteq;</code>
+</td>
+<td><code>U+2291</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsupseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2292;<!-- ⊒ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsupseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0265a35c551a778da5fd0d6f81c2b1e393d19129" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \sqsupseteq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%8A%92" title="⊒">⊒</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle A\sqsupseteq B}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>A</mi>
+        <mo>&#x2292;<!-- ⊒ --></mo>
+        <mi>B</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle A\sqsupseteq B}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2efc9ba68e31de38ba65e07ac1ef803e84d17ec" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.606ex; height:2.343ex;" alt="{\displaystyle A\sqsupseteq B}"></span>
+</td>
+<td><code>\sqsupseteq</code>
+</td>
+<td><code>&amp;SquareSupersetEqual;</code>
+</td>
+<td><code>U+2292</code>
+</td></tr></tbody></table>
+<p><i>Note:</i> The symbols <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \subset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2282;<!-- ⊂ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \subset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f51f0eeff0c2a9dcb9c856f87ca0359e701ef01" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \subset }"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \supset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2283;<!-- ⊃ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \supset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/27bfe0828a2ed4c9c6b70987a85c02a1f005843c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \supset }"></span> are used inconsistently and often do not exclude the equality of the two quantities.
+</p>
+<h3><span class="mw-headline" id="Cardinality">Cardinality</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=46" title="Edit section: Cardinality"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |~~|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |~~|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29900ebd10692214f66b27b664618fe5b23c369d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle |~~|}"></span>
+</td>
+<td style="text-align: center;">| |
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |A|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mi>A</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |A|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/648fce92f29d925f04d39244ccfe435320dfc6de" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.037ex; height:2.843ex;" alt="{\displaystyle |A|}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Cardinality" title="Cardinality">Cardinality</a>
+</td>
+<td><code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \#}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0023;<!-- # --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \#}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f72e8254fd59fa4060c66c9310acbaf6df2ce894" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.936ex; height:2.509ex;" alt="{\displaystyle \#}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/">#</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \#A}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x0023;<!-- # --></mi>
+        <mi>A</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \#A}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4d646a33b7cc380a5372f8b183ccd2afc6035d5b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.679ex; height:2.509ex;" alt="{\displaystyle \#A}"></span>
+</td>
+<td><code>\#</code>
+</td>
+<td><code>&amp;num;</code>
+</td>
+<td><code>U+0023</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathfrak {c}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi mathvariant="fraktur">c</mi>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathfrak {c}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b21924b960341255be18e538e51404718f29cbc0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.905ex; height:1.676ex;" alt="{\displaystyle {\mathfrak {c}}}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%F0%9D%94%A0" class="mw-redirect" title="𝔠">𝔠</a>
+</td>
+<td style="text-align: center;">
+</td>
+<td><a href="/wiki/Cardinality_of_the_continuum" title="Cardinality of the continuum">Cardinality of the continuum</a>
+</td>
+<td><code>\mathfrak{c}</code>
+</td>
+<td><code>&amp;cfr;</code>
+</td>
+<td><code>U+1D520</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \aleph }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2135;<!-- ℵ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \aleph }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/306c55e6bc96d94db729ff5821c8f45a34c72bce" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.42ex; height:2.176ex;" alt="{\displaystyle \aleph }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%84%B5" class="mw-redirect" title="ℵ">ℵ</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \aleph _{0}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi mathvariant="normal">&#x2135;<!-- ℵ --></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mn>0</mn>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \aleph _{0}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/721cd7f8c15a2e72ad162bdfa5baea8eef98aab1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.475ex; height:2.509ex;" alt="{\displaystyle \aleph _{0}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \aleph _{1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi mathvariant="normal">&#x2135;<!-- ℵ --></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mn>1</mn>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \aleph _{1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78c211ce8badf4ffbf9417ecceb0ef7ab0a8caed" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.475ex; height:2.509ex;" alt="{\displaystyle \aleph _{1}}"></span>, ...
+</td>
+<td><a href="/wiki/Aleph_number" title="Aleph number">Aleph number</a>
+</td>
+<td><code>\aleph</code>
+</td>
+<td><code>&amp;aleph;</code>
+</td>
+<td><code>U+2135</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \beth }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x2136;<!-- ℶ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \beth }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b6ca52be7fa2a32db700e775beb85f6dec33cc4f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-left: -0.05ex; width:1.647ex; height:2.343ex;" alt="{\displaystyle \beth }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%84%B6" class="mw-redirect" title="ℶ">ℶ</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \beth _{0}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi>&#x2136;<!-- ℶ --></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mn>0</mn>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \beth _{0}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d3054002c3a3306a18292717a9c955d761210783" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.05ex; width:2.655ex; height:2.676ex;" alt="{\displaystyle \beth _{0}}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \beth _{1}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi>&#x2136;<!-- ℶ --></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mn>1</mn>
+          </mrow>
+        </msub>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \beth _{1}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bb3462a86543187911778e6ff64ed1dc27b19f5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.05ex; width:2.655ex; height:2.676ex;" alt="{\displaystyle \beth _{1}}"></span>, ...
+</td>
+<td><a href="/wiki/Beth_number" title="Beth number">Beth number</a>
+</td>
+<td><code>\beth</code>
+</td>
+<td><code>&amp;beth;</code>
+</td>
+<td><code>U+2136</code>
+</td></tr></tbody></table>
+<h3><span id="Equivalence_classes.2Frelations"></span><span class="mw-headline" id="Equivalence_classes/relations">Equivalence classes/relations</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=47" title="Edit section: Equivalence classes/relations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<p><span class="anchor" id="Equivalence_relations/classes"></span>
+</p>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [~~]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [~~]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1376a583a956836622dd69bd6fb32d91fe2a6d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle [~~]}"></span>
+</td>
+<td style="text-align: center;">&#91; &#93;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [a]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mi>a</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [a]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea82bc70a8e322f13a3c4e5b9d5d69e8ef097ad8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.523ex; height:2.843ex;" alt="{\displaystyle [a]}"></span>
+</td>
+<td><a href="/wiki/Equivalence_class" title="Equivalence class">Equivalence class</a>
+</td>
+<td><code>[  ]</code>
+</td>
+<td><code>&amp;lsqb;</code> <code>&amp;rsqb;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle /}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle /}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da0c4de1fba637d9799f6c64a6c77bf016d0ce1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle /}"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki//" class="mw-redirect" title="/">/</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle M/\!\sim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>M</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+        <mspace width="negativethinmathspace" />
+        <mo>&#x223C;<!-- ∼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle M/\!\sim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff61e9b8e0301cd76db0a7491c2ef7ce60377d26" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.671ex; height:2.843ex;" alt="{\displaystyle M/\!\sim }"></span>
+</td>
+<td><a href="/wiki/Quotient_set" class="mw-redirect" title="Quotient set">Quotient set</a>
+</td>
+<td><code>/</code>
+</td>
+<td><code>&amp;sol;</code>
+</td>
+<td><code>U+002F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x223C;<!-- ∼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afcc42adfcfdc24d5c4c474869e5d8eaa78d1173" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:1.343ex;" alt="{\displaystyle \sim }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%BC" class="mw-redirect" title="∼">∼</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x223C;<!-- ∼ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d60a7ec044aafda7685b062b023b95b2e3f9e252" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\sim b}"></span>
+</td>
+<td rowspan="7"><a href="/wiki/Equivalence_relation" title="Equivalence relation">Equivalence relation</a>
+</td>
+<td><code>\sim</code>
+</td>
+<td><code>&amp;sim;</code>, <code>&amp;Tilde;</code>
+</td>
+<td><code>U+223C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \backsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x223D;<!-- ∽ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \backsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe17cbb59798f882bc15fa2ecee6d8d45b9ef46b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.307ex; margin-bottom: -0.478ex; width:1.808ex; height:1.343ex;" alt="{\displaystyle \backsim }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%88%BD" class="mw-redirect" title="∽">∽</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\backsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x223D;<!-- ∽ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\backsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d371702b30a3f7f893a747bdcd2bfc8ef91ece0f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\backsim b}"></span>
+</td>
+<td><code>\backsim</code>
+</td>
+<td><code>&amp;bsim;</code>
+</td>
+<td><code>U+223D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2241;<!-- ≁ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bb24e1914cfde8a8abf56fce4f6370532c16e0e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.072ex; margin-bottom: -0.243ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \nsim }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%89%81" class="mw-redirect" title="≁">≁</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\nsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2241;<!-- ≁ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\nsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d63e71e23950e9395b32a06822bdd089d1d2bd0d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\nsim b}"></span>
+</td>
+<td><code>\not\sim</code>, <code>\nsim</code>
+</td>
+<td><code>&amp;nsim;</code>
+</td>
+<td><code>U+2241</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \eqsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2242;<!-- ≂ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \eqsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7575ecea581fb80faf30c9706065726a90cbf1bf" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.077ex; margin-bottom: -0.248ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \eqsim }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%89%82" title="≂">≂</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\eqsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2242;<!-- ≂ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\eqsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/20c9c012c05cd33590d70eaf82f9cde00ba071fc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\eqsim b}"></span>
+</td>
+<td><code>\eqsim</code>
+</td>
+<td><code>&amp;EqualTilde;</code>
+</td>
+<td><code>U+2242</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \simeq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2243;<!-- ≃ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \simeq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65b9738551241417d16d9843525ed52410af4dc9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.081ex; margin-bottom: -0.253ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \simeq }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%89%83" class="mw-redirect" title="≃">≃</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\simeq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2243;<!-- ≃ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\simeq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e3bdf3a2f77b9c3b8bae032841d567d48a3ced4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\simeq b}"></span>
+</td>
+<td><code>\simeq</code>
+</td>
+<td><code>&amp;TildeEqual;</code>
+</td>
+<td><code>U+2243</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cong }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2245;<!-- ≅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cong }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a725ebc5ab8de11d7b71a8aa5a3706c2ea467885" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.049ex; margin-bottom: -0.22ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \cong }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%89%85" class="mw-redirect" title="≅">≅</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\cong b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2245;<!-- ≅ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\cong b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c10a58aa17b1a6caa55ee845433f5a722a36004" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\cong b}"></span>
+</td>
+<td><code>\cong</code>
+</td>
+<td><code>&amp;TildeFullEqual;</code>
+</td>
+<td><code>U+2245</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ncong }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2246;<!-- ≆ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ncong }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/46af9c8ad68d6928665e05921f5914718559fce4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \ncong }"></span>
+</td>
+<td style="text-align: center;"><a href="/wiki/%E2%89%87" class="mw-redirect" title="≇">≇</a>
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\ncong b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2246;<!-- ≆ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\ncong b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e3395fa9b735275bf3c8c39a6c566a59eb46089" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.326ex; height:2.509ex;" alt="{\displaystyle a\ncong b}"></span>
+</td>
+<td><code>\not\cong</code>, <code>\ncong</code>
+</td>
+<td><code>&amp;NotTildeFullEqual;</code>
+</td>
+<td><code>U+2247</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Order_theory">Order theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=48" title="Edit section: Order theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Comparisons">Comparisons</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=49" title="Edit section: Comparisons"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<p><span class="anchor" id="Order_theory_relations"></span><span class="anchor" id="Orders_relations"></span>
+</p>
+<dl><dd><i>See also</i>: <a href="#Arithmetic_comparison">Arithmetic comparison</a>, <a href="#Set_relations">Set relations</a></dd></dl>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2264;<!-- ≤ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/440568a09c3bfdf0e1278bfa79eb137c04e94035" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \leq }"></span>
+</td>
+<td style="text-align: center;">≤
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\leq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2264;<!-- ≤ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\leq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/41558abc50886fdf38817495b243958d7b3dd39b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\leq b}"></span>
+</td>
+<td rowspan="6"><a href="/wiki/Order_relation" class="mw-redirect" title="Order relation">Order relation</a>
+</td>
+<td><code>\leq</code>, <code>\le</code>
+</td>
+<td><code>&amp;leq;</code>, <code>&amp;le;</code>
+</td>
+<td><code>U+2264</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \geq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2265;<!-- ≥ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \geq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bcef7c0e95bb77a35fd1a874ca91f425215f3c26" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \geq }"></span>
+</td>
+<td style="text-align: center;">≥
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\geq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2265;<!-- ≥ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\geq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed5d3957d5f94566507526017e4ebb67c02efe81" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\geq b}"></span>
+</td>
+<td><code>\geq</code>, <code>\ge</code>
+</td>
+<td><code>&amp;geq;</code>, <code>&amp;ge;</code>
+</td>
+<td><code>U+2265</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nless }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x226E;<!-- ≮ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nless }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/418da04e4e1b8e34ea0715198e3d2be35b013419" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \nless }"></span>
+</td>
+<td style="text-align: center;">≮
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\nless b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x226E;<!-- ≮ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\nless b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dda9fb4405b976977a9873af89f451aa35f6b9dd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.326ex; height:2.509ex;" alt="{\displaystyle a\nless b}"></span>
+</td>
+<td><code>\nless</code>
+</td>
+<td><code>&amp;nlt;</code>, <code>&amp;NotLess;</code>
+</td>
+<td><code>U+226E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ngtr }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x226F;<!-- ≯ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ngtr }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0159b396d12788e88b9be3dfce2152d90ad09726" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \ngtr }"></span>
+</td>
+<td style="text-align: center;">≯
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\ngtr b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x226F;<!-- ≯ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\ngtr b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ad3c047df7bc814437e7011b8aa07596d309f0c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.326ex; height:2.509ex;" alt="{\displaystyle a\ngtr b}"></span>
+</td>
+<td><code>\ngtr</code>
+</td>
+<td><code>&amp;ngt;</code>, <code>&amp;NotGreater;</code>
+</td>
+<td><code>U+226F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nleq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2270;<!-- ≰ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nleq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15efbc96f0403707c1fa965e505af3608429f055" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.176ex;" alt="{\displaystyle \nleq }"></span>
+</td>
+<td style="text-align: center;">≰
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\nleq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2270;<!-- ≰ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\nleq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/529b4d71bfcec3bee3c8bd00aa5ffc14258715a8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:5.326ex; height:3.176ex;" alt="{\displaystyle a\nleq b}"></span>
+</td>
+<td><code>\not\leq</code>, <code>\nleq</code>
+</td>
+<td><code>&amp;nle;</code>, <code>&amp;NotLessEqual;</code>
+</td>
+<td><code>U+2270</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ngeq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2271;<!-- ≱ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ngeq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d8fd01ae3654ee078b69bf8e8c758f287dfb3d4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.176ex;" alt="{\displaystyle \ngeq }"></span>
+</td>
+<td style="text-align: center;">≱
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\ngeq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2271;<!-- ≱ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\ngeq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55170ef9591e7282e27a034b8c821bdf27fa8d88" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:5.326ex; height:3.176ex;" alt="{\displaystyle a\ngeq b}"></span>
+</td>
+<td><code>\not\geq</code>, <code>\ngeq</code>
+</td>
+<td><code>&amp;nge;</code>, <code>&amp;NotGreaterEqual;</code>
+</td>
+<td><code>U+2271</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \lesssim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2272;<!-- ≲ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \lesssim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13f2a7eea11a2ec928f362e6a099f4ec28828a76" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.843ex;" alt="{\displaystyle \lesssim }"></span>
+</td>
+<td style="text-align: center;">≲
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\lesssim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2272;<!-- ≲ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\lesssim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/be1e403c8f16944c7138563ad2b71cc76c28faa8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.843ex;" alt="{\displaystyle a\lesssim b}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Inequality_(mathematics)" title="Inequality (mathematics)">Inequality (mathematics)</a>
+</td>
+<td><code>\lesssim</code>
+</td>
+<td><code>&amp;lsim;</code>, <code>&amp;LessTilde;</code>
+</td>
+<td><code>U+2272</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \gtrsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2273;<!-- ≳ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \gtrsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/697c35ea6f5a1722d41bb586b6a056e4a7edd1f3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.843ex;" alt="{\displaystyle \gtrsim }"></span>
+</td>
+<td style="text-align: center;">≳
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\gtrsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2273;<!-- ≳ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\gtrsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cdfcd268f351b2c5503fa432884798117c255ae6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.843ex;" alt="{\displaystyle a\gtrsim b}"></span>
+</td>
+<td><code>\gtrsim</code>
+</td>
+<td><code>&amp;gsim;</code>, <code>&amp;GreaterTilde;</code>
+</td>
+<td><code>U+2273</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \lesssim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2274;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \lesssim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/25a949a506554525e1b41ad1607707201b32b94a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.809ex; height:2.843ex;" alt="{\displaystyle \not \lesssim }"></span>
+</td>
+<td style="text-align: center;">≴
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\not \lesssim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2274;</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\not \lesssim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1c568ed060f5bfb22268bdd1c901fe6e2c5b0ba7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.327ex; height:2.843ex;" alt="{\displaystyle a\not \lesssim b}"></span>
+</td>
+<td><code>\not\lesssim</code>
+</td>
+<td><code>&amp;NotLessTilde;</code>
+</td>
+<td><code>U+2274</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \gtrsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2275;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \gtrsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7122597c369c0cf64b7dc9f36a7736e55c7e2574" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.809ex; height:2.843ex;" alt="{\displaystyle \not \gtrsim }"></span>
+</td>
+<td style="text-align: center;">≵
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\not \gtrsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2275;</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\not \gtrsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3115e86888f23a46cc574fbed38e266e2811f9a4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.327ex; height:2.843ex;" alt="{\displaystyle a\not \gtrsim b}"></span>
+</td>
+<td><code>\not\gtrsim</code>
+</td>
+<td><code>&amp;NotGreaterTilde;</code>
+</td>
+<td><code>U+2275</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \prec }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x227A;<!-- ≺ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \prec }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59707ac9078525b52a9e21a1baf9ab787af7a9aa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \prec }"></span>
+</td>
+<td style="text-align: center;">≺
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\prec b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x227A;<!-- ≺ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\prec b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7bdf7649222f545951f40fddf2a37dd3eb9635af" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\prec b}"></span>
+</td>
+<td rowspan="10"><a href="/wiki/Successor_ordinal" title="Successor ordinal">Successor ordinal</a>
+</td>
+<td><code>\prec</code>
+</td>
+<td><code>&amp;prec;</code>
+</td>
+<td><code>U+227A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \succ }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x227B;<!-- ≻ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \succ }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c83449a4993b5c578a3b719f854a5f042991f361" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \succ }"></span>
+</td>
+<td style="text-align: center;">≻
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\succ b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x227B;<!-- ≻ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\succ b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9acd61d74369d599e77c10e0eacf845a65a80be9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\succ b}"></span>
+</td>
+<td><code>\succ</code>
+</td>
+<td><code>&amp;succ;</code>
+</td>
+<td><code>U+227B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \preccurlyeq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x227C;<!-- ≼ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \preccurlyeq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/99bc8c68be5ec5d812bb700383d1911b5f94a1ee" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.343ex;" alt="{\displaystyle \preccurlyeq }"></span>
+</td>
+<td style="text-align: center;">≼
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\preccurlyeq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x227C;<!-- ≼ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\preccurlyeq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c0bf81de43f75737e758b96634930cbac9e1f0a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.326ex; height:2.509ex;" alt="{\displaystyle a\preccurlyeq b}"></span>
+</td>
+<td><code>\preccurlyeq</code>
+</td>
+<td><code>&amp;PrecedesSlantEqual;</code>
+</td>
+<td><code>U+227C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \succcurlyeq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x227D;<!-- ≽ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \succcurlyeq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d1b953ed191a922f1bead876de1b41252b0dca15" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.343ex;" alt="{\displaystyle \succcurlyeq }"></span>
+</td>
+<td style="text-align: center;">≽
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\succcurlyeq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x227D;<!-- ≽ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\succcurlyeq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/64d5531f10ec608bdeff185c997abad12f855f69" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.326ex; height:2.509ex;" alt="{\displaystyle a\succcurlyeq b}"></span>
+</td>
+<td><code>\succcurlyeq</code>
+</td>
+<td><code>&amp;SucceedsSlantEqual;</code>
+</td>
+<td><code>U+227D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \precsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x227E;<!-- ≾ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \precsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/90e936be0e2e6310b680869390db1e34e834d5a7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.843ex;" alt="{\displaystyle \precsim }"></span>
+</td>
+<td style="text-align: center;">≾
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\precsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x227E;<!-- ≾ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\precsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f4cf94eb3f7202afdc4ac30e85636068c63f8e6a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.843ex;" alt="{\displaystyle a\precsim b}"></span>
+</td>
+<td><code>\precsim</code>
+</td>
+<td><code>&amp;PrecedesTilde;</code>
+</td>
+<td><code>U+227E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \succsim }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x227F;<!-- ≿ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \succsim }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09a6c8f5ff2b6e648c986c433a02da318856d489" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.808ex; height:2.843ex;" alt="{\displaystyle \succsim }"></span>
+</td>
+<td style="text-align: center;">≿
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\succsim b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x227F;<!-- ≿ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\succsim b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/89445470ca8cc52a83e5aa2584b4fc484c7b426a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.326ex; height:2.843ex;" alt="{\displaystyle a\succsim b}"></span>
+</td>
+<td><code>\succsim</code>
+</td>
+<td><code>&amp;SucceedsTilde;</code>
+</td>
+<td><code>U+227F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \preceq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2AAF;<!-- ⪯ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \preceq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/63dfe475e1377b3b4e936a3aa8fb1d7177dcdbc3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \preceq }"></span>
+</td>
+<td style="text-align: center;">⪯
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\preceq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2AAF;<!-- ⪯ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\preceq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f56634f1044bf3d86a3ab22119a38efe7705dcd7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\preceq b}"></span>
+</td>
+<td><code>\preceq</code>
+</td>
+<td><code>&amp;PrecedesEqual;</code>
+</td>
+<td><code>U+2AAF</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \succeq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2AB0;<!-- ⪰ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \succeq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a76e2e7e4851d6699b00468080d1e25720f854d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \succeq }"></span>
+</td>
+<td style="text-align: center;">⪰
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\succeq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2AB0;<!-- ⪰ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\succeq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3bb660d9450eed383296f6dc3f7cb03d7dd65bf8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\succeq b}"></span>
+</td>
+<td><code>\succeq</code>
+</td>
+<td><code>&amp;SucceedsEqual;</code>
+</td>
+<td><code>U+2AB0</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \curlyeqprec }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22DE;<!-- ⋞ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \curlyeqprec }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fed2cfcc35b83efedcdcc9507ec0b1538475fbc3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.343ex;" alt="{\displaystyle \curlyeqprec }"></span>
+</td>
+<td style="text-align: center;">⋞
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\curlyeqprec b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22DE;<!-- ⋞ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\curlyeqprec b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/369eb4647e6fa522bf6eb3393534a06dc0a89e3f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\curlyeqprec b}"></span>
+</td>
+<td><code>\curlyeqprec</code>
+</td>
+<td><code>&amp;curlyeqprec;</code>
+</td>
+<td><code>U+22DE</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \curlyeqsucc }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22DF;<!-- ⋟ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \curlyeqsucc }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cbfeccd734d1ef89881544dccd489771c6371e9d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.343ex;" alt="{\displaystyle \curlyeqsucc }"></span>
+</td>
+<td style="text-align: center;">⋟
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\curlyeqsucc b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22DF;<!-- ⋟ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\curlyeqsucc b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7037c968a6d87f98e899680e3b7d97949fed952" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\curlyeqsucc b}"></span>
+</td>
+<td><code>\curlyeqsucc</code>
+</td>
+<td><code>&amp;curlyeqsucc;</code>
+</td>
+<td><code>U+22DF</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsubset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x228F;<!-- ⊏ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsubset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/253e61eb6d16e0da87bfb1868f0560c56e213262" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \sqsubset }"></span>
+</td>
+<td style="text-align: center;">⊏
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sqsubset b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x228F;<!-- ⊏ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sqsubset b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fc9f79433ccd9d2543124936148c790195b3521" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\sqsubset b}"></span>
+</td>
+<td rowspan="6"><a href="/wiki/Partially_ordered_set" title="Partially ordered set">Partially ordered set</a>
+</td>
+<td><code>\sqsubset</code>
+</td>
+<td><code>&amp;sqsubset;</code><br /><code>&amp;SquareSubset;</code>
+</td>
+<td><code>U+228F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsupset }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2290;<!-- ⊐ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsupset }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/918635466c7692b99a07a276fa4c63f6899c8021" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \sqsupset }"></span>
+</td>
+<td style="text-align: center;">⊐
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sqsupset b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2290;<!-- ⊐ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sqsupset b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/933f029bca9431922e524e81f3d05dd6f1e801ca" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.326ex; height:2.176ex;" alt="{\displaystyle a\sqsupset b}"></span>
+</td>
+<td><code>\sqsupset</code>
+</td>
+<td><code>&amp;sqsupset;</code><br /><code>&amp;SquareSuperset;</code>
+</td>
+<td><code>U+2290</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsubseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2291;<!-- ⊑ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsubseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af6da11aff8e51f703a5961c97ab99d532731e3d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \sqsubseteq }"></span>
+</td>
+<td style="text-align: center;">⊑
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sqsubseteq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2291;<!-- ⊑ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sqsubseteq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/adc5f153802715d7da5053ab228bce2219fa5cfb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\sqsubseteq b}"></span>
+</td>
+<td><code>\sqsubseteq</code>
+</td>
+<td><code>&amp;sqsubseteq;</code><br /><code>&amp;SquareSubsetEqual;</code>
+</td>
+<td><code>U+2291</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \sqsupseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2292;<!-- ⊒ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \sqsupseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0265a35c551a778da5fd0d6f81c2b1e393d19129" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \sqsupseteq }"></span>
+</td>
+<td style="text-align: center;">⊒
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\sqsupseteq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2292;<!-- ⊒ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\sqsupseteq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/63632103af8241da48a4728e881575d0a373c8f3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.326ex; height:2.343ex;" alt="{\displaystyle a\sqsupseteq b}"></span>
+</td>
+<td><code>\sqsupseteq</code>
+</td>
+<td><code>&amp;sqsupseteq;</code><br /><code>&amp;SquareSupersetEqual;</code>
+</td>
+<td><code>U+2292</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \sqsubseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22E2;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \sqsubseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26cd9222ef7f020a76dff7eeb916b0ebd812a644" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.809ex; height:2.676ex;" alt="{\displaystyle \not \sqsubseteq }"></span>
+</td>
+<td style="text-align: center;">⋢
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\not \sqsubseteq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22E2;</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\not \sqsubseteq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f299b60cfa070bba9e53289f547b176bef319f5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.327ex; height:2.676ex;" alt="{\displaystyle a\not \sqsubseteq b}"></span>
+</td>
+<td><code>\not\sqsubseteq</code>
+</td>
+<td><code>&amp;NotSquareSubsetEqual;</code>
+</td>
+<td><code>U+22E2</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \sqsupseteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22E3;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \sqsupseteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc160c5d09ee6ed5b646eff3f8139aa5b5357571" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.809ex; height:2.676ex;" alt="{\displaystyle \not \sqsupseteq }"></span>
+</td>
+<td style="text-align: center;">⋣
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\not \sqsupseteq b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x22E3;</mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\not \sqsupseteq b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/262de2d531ee553a02a7a0e19ab0a3119be7f411" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.327ex; height:2.676ex;" alt="{\displaystyle a\not \sqsupseteq b}"></span>
+</td>
+<td><code>\not\sqsupseteq</code>
+</td>
+<td><code>&amp;NotSquareSupersetEqual;</code>
+</td>
+<td><code>U+22E3</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Binary_relations">Binary relations</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=50" title="Edit section: Binary relations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;">;
+</td>
+<td style="text-align: center;">;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R;S}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>R</mi>
+        <mo>;</mo>
+        <mi>S</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R;S}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d4558100d5ee8b146abb078ebe1df45640b3a351" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.297ex; height:2.509ex;" alt="{\displaystyle R;S}"></span>
+</td>
+<td><a href="/wiki/Composition_of_relations" title="Composition of relations">Composition of relations</a>
+</td>
+<td><code>;</code>
+</td>
+<td><code>&amp;semi;</code>
+</td>
+<td><code>U+003B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bullet }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2219;<!-- ∙ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bullet }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3576c2406959ee194a6fc55c34b5ee9f6ffbb715" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.125ex; margin-bottom: -0.297ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \bullet }"></span>
+</td>
+<td style="text-align: center;">•
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\bullet b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2219;<!-- ∙ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\bullet b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e6c09b5581ea697e8eede670d262bb4ea85b3100" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.422ex; height:2.176ex;" alt="{\displaystyle a\bullet b}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Operation_(mathematics)" title="Operation (mathematics)">Operation (mathematics)</a>
+</td>
+<td><code>\bullet</code>
+</td>
+<td><code>&amp;bull;</code>
+</td>
+<td><code>U+2219</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \ast }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2217;<!-- ∗ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \ast }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f1858484bef51b1435c2b986c728a81788051803" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.079ex; margin-bottom: -0.25ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \ast }"></span>
+</td>
+<td style="text-align: center;">∗
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle a\ast b}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>a</mi>
+        <mo>&#x2217;<!-- ∗ --></mo>
+        <mi>b</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle a\ast b}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5311c1f292ef6f926ec2cca0de3fae75d25fca15" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.422ex; height:2.176ex;" alt="{\displaystyle a\ast b}"></span>
+</td>
+<td><code>\ast</code>
+</td>
+<td><code>&amp;lowast;</code>
+</td>
+<td><code>U+2217</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{T}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>T</mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{T}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f5df5b5ecb120f5e7f4837d839c7c3181a08346" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.389ex; height:2.509ex;" alt="{\displaystyle {}^{T}}"></span>
+</td>
+<td style="text-align: center;">⁻
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R^{T}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>R</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>T</mi>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R^{T}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/faa25e9ecd55e58fbd61ad74d59bc2d4f73d59a3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.153ex; height:2.676ex;" alt="{\displaystyle R^{T}}"></span>
+</td>
+<td><a href="/wiki/Converse_relation" title="Converse relation">Converse relation</a>
+</td>
+<td><code>T</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mrow />
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07339d89909a24ef54713d145736261b1fb31123" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\bar {}}}"></span>
+</td>
+<td style="text-align: center;">⁻
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {R}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>R</mi>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {R}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/771ade41bcd0ef92e246bb14daeb44dc41a447b9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.509ex;" alt="{\displaystyle {\bar {R}}}"></span>
+</td>
+<td><a href="/wiki/Complementary_relation" class="mw-redirect" title="Complementary relation">Complementary relation</a>
+</td>
+<td><code>\bar{R}</code>
+</td>
+<td>
+</td>
+<td>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{+}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>+</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{+}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6f326d59d26041124ebf409e7b2a95e98015bc1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.343ex;" alt="{\displaystyle {}^{+}}"></span>
+</td>
+<td style="text-align: center;">+
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R^{+}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>R</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>+</mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R^{+}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86bba4b120e2b4fcffb404952d8965923b481380" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.275ex; height:2.509ex;" alt="{\displaystyle R^{+}}"></span>
+</td>
+<td><a href="/wiki/Transitive_closure" title="Transitive closure">Transitive closure</a>
+</td>
+<td><code>+</code>
+</td>
+<td>
+</td>
+<td><code>U+002B</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/083d1bbfe34ad3c8f02487c7a392d2e55b0ee75a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle {}^{\ast }}"></span>
+</td>
+<td style="text-align: center;">*
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>R</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57fccdf64b58feb62a438efd784c9696f4bdc21e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.818ex; height:2.343ex;" alt="{\displaystyle R^{\ast }}"></span>
+</td>
+<td><a href="/wiki/Reflexive_closure" title="Reflexive closure">Reflexive closure</a>
+</td>
+<td><code>\ast</code>
+</td>
+<td><code>&amp;lowast;</code>
+</td>
+<td><code>U+002A</code>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Algebra">Algebra</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=51" title="Edit section: Algebra"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Group_theory">Group theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=52" title="Edit section: Group theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \simeq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2243;<!-- ≃ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \simeq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65b9738551241417d16d9843525ed52410af4dc9" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.081ex; margin-bottom: -0.253ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \simeq }"></span>
+</td>
+<td style="text-align: center;">≃
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\simeq H}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x2243;<!-- ≃ --></mo>
+        <mi>H</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\simeq H}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f87587df9ddf620b0e064802f01763df4a21e5c0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.989ex; height:2.176ex;" alt="{\displaystyle G\simeq H}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Group_isomorphism" title="Group isomorphism">Group isomorphism</a>
+</td>
+<td><code>\simeq</code>
+</td>
+<td>
+</td>
+<td><code>U+2243</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \cong }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2245;<!-- ≅ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \cong }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a725ebc5ab8de11d7b71a8aa5a3706c2ea467885" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.049ex; margin-bottom: -0.22ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \cong }"></span>
+</td>
+<td style="text-align: center;">≅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\cong H}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x2245;<!-- ≅ --></mo>
+        <mi>H</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\cong H}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f74c426546451af44e2fbc290e06cc084929e6b3" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.989ex; height:2.176ex;" alt="{\displaystyle G\cong H}"></span>
+</td>
+<td><code>\cong</code>
+</td>
+<td><code>&amp;cong;</code>
+</td>
+<td><code>U+2245</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \times }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x00D7;<!-- × --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \times }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ffafff1ad26cbe49045f19a67ce532116a32703" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \times }"></span>
+</td>
+<td style="text-align: center;">⨯
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\times H}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x00D7;<!-- × --></mo>
+        <mi>H</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\times H}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b21c4fe945812f3715d4532362c5467faf6afeb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.731ex; height:2.176ex;" alt="{\displaystyle G\times H}"></span>
+</td>
+<td><a href="/wiki/Direct_product" title="Direct product">Direct product</a>
+</td>
+<td><code>\times</code>
+</td>
+<td><code>&amp;times;</code>
+</td>
+<td><code>U+2A2F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \rtimes }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22CA;<!-- ⋊ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \rtimes }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c690496b0d7b5d0e815e543a796661c3fa68c9ee" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0.016ex; margin-bottom: -0.188ex; width:1.808ex; height:1.509ex;" alt="{\displaystyle \rtimes }"></span>
+</td>
+<td style="text-align: center;">⋊
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\rtimes H}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x22CA;<!-- ⋊ --></mo>
+        <mi>H</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\rtimes H}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48e2e45e0615e84eb3c6d1003eb118217a5606f8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.731ex; height:2.176ex;" alt="{\displaystyle G\rtimes H}"></span>
+</td>
+<td><a href="/wiki/Semidirect_product" title="Semidirect product">Semidirect product</a>
+</td>
+<td><code>\rtimes</code>
+</td>
+<td><code>&amp;rtimes;</code>
+</td>
+<td><code>U+22CA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \wr }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2240;<!-- ≀ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \wr }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b4cda60813dda84640dc58dc142774abfa5a07d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:0.647ex; height:2.176ex;" alt="{\displaystyle \wr }"></span>
+</td>
+<td style="text-align: center;">≀
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\,\wr \,H}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mspace width="thinmathspace" />
+        <mo>&#x2240;<!-- ≀ --></mo>
+        <mspace width="thinmathspace" />
+        <mi>H</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\,\wr \,H}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/97066c2afc71b8798de639371fe424063013e51a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.344ex; height:2.343ex;" alt="{\displaystyle G\,\wr \,H}"></span>
+</td>
+<td><a href="/wiki/Wreath_product" title="Wreath product">Wreath product</a>
+</td>
+<td><code>\wr</code>
+</td>
+<td><code>&amp;VerticalTilde;</code>
+</td>
+<td><code>U+2240</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \leq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2264;<!-- ≤ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \leq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/440568a09c3bfdf0e1278bfa79eb137c04e94035" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \leq }"></span>
+</td>
+<td style="text-align: center;">≤
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle U\leq G}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>U</mi>
+        <mo>&#x2264;<!-- ≤ --></mo>
+        <mi>G</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle U\leq G}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7c425c36f56d5f9e3273863764afb2e2461680a0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.708ex; height:2.343ex;" alt="{\displaystyle U\leq G}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Subgroup" title="Subgroup">Subgroup</a>
+</td>
+<td><code>\leq</code>
+</td>
+<td><code>&amp;le;</code>
+</td>
+<td><code>U+2264</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle &lt;}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&lt;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle &lt;}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33737c89a17785dacc8638b4d66db3d5c8670de1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle &lt;}"></span>
+</td>
+<td style="text-align: center;">&lt;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle U&lt;G}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>U</mi>
+        <mo>&lt;</mo>
+        <mi>G</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle U&lt;G}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/447c52c8372e871a28e758981059f140bc589a5d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.708ex; height:2.176ex;" alt="{\displaystyle U&lt;G}"></span>
+</td>
+<td><code>\lt</code>
+</td>
+<td><code>&amp;lt;</code>
+</td>
+<td><code>U+003C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \vartriangleleft }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22B2;<!-- ⊲ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \vartriangleleft }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d9d6e302fa02d3bb6a353a548cc173fd2cc3b90" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \vartriangleleft }"></span>
+</td>
+<td style="text-align: center;">⊲
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle N\vartriangleleft G}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>N</mi>
+        <mo>&#x22B2;<!-- ⊲ --></mo>
+        <mi>G</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle N\vartriangleleft G}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f2a05dace7f885a04cde60373e1628a00857e52" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.989ex; height:2.176ex;" alt="{\displaystyle N\vartriangleleft G}"></span>
+</td>
+<td rowspan="8"><a href="/wiki/Normal_subgroup" title="Normal subgroup">Normal subgroup</a>
+</td>
+<td><code><small>\vartriangleleft</small></code>
+</td>
+<td><code>&amp;RightTriangle;</code>
+</td>
+<td><code>U+22B3</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \trianglelefteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22B4;<!-- ⊴ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \trianglelefteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e59ca4a891f9df8df18b45f1f4533cb5f6cb73e6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \trianglelefteq }"></span>
+</td>
+<td style="text-align: center;">⊴
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle N\trianglelefteq G}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>N</mi>
+        <mo>&#x22B4;<!-- ⊴ --></mo>
+        <mi>G</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle N\trianglelefteq G}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/10ae94a89329111d27737c0fc57792343a602bfd" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.989ex; height:2.343ex;" alt="{\displaystyle N\trianglelefteq G}"></span>
+</td>
+<td><code><small>\trianglelefteq</small></code>
+</td>
+<td><code>&amp;LeftTriangleEqual;</code>
+</td>
+<td><code>U+22B4</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \vartriangleleft }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22EA;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \vartriangleleft }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bc48cc3b2f2faf440c29a200845c705f5a2e1e9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \not \vartriangleleft }"></span>
+</td>
+<td style="text-align: center;">⋪
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle N\not \vartriangleleft G}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>N</mi>
+        <mo>&#x22EA;</mo>
+        <mi>G</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle N\not \vartriangleleft G}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5bc4011f3caf3d38c369b6f35efb3e5918b9e6cc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.989ex; height:2.509ex;" alt="{\displaystyle N\not \vartriangleleft G}"></span>
+</td>
+<td><code><small>\not\vartriangleleft</small></code>
+</td>
+<td><code>&amp;ntriangleleft;</code>
+</td>
+<td><code>U+22EA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \trianglelefteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22EC;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \trianglelefteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/225526fc7856bd72368a4a9e8c201c244c716f8a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.176ex;" alt="{\displaystyle \not \trianglelefteq }"></span>
+</td>
+<td style="text-align: center;">⋬
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle N\not \trianglelefteq G}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>N</mi>
+        <mo>&#x22EC;</mo>
+        <mi>G</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle N\not \trianglelefteq G}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b6985a9c0d313e2d76d0eed78ecf1eff53139dd4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:6.989ex; height:3.176ex;" alt="{\displaystyle N\not \trianglelefteq G}"></span>
+</td>
+<td><code><small>\not\trianglelefteq</small></code>
+</td>
+<td><code>&amp;NotLeftTriangleEqual;</code>
+</td>
+<td><code>U+22EC</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \vartriangleright }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22B3;<!-- ⊳ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \vartriangleright }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b0d20eca58300d3e12e1a099bd96e616d32bd426" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \vartriangleright }"></span>
+</td>
+<td style="text-align: center;">⊳
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\vartriangleright N}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x22B3;<!-- ⊳ --></mo>
+        <mi>N</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\vartriangleright N}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/16440531e3525ba14a1bbfebcaa3fbc7a73cb5a6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.989ex; height:2.176ex;" alt="{\displaystyle G\vartriangleright N}"></span>
+</td>
+<td><code><small>\vartriangleright</small></code>
+</td>
+<td><code>&amp;RightTriangle;</code>
+</td>
+<td><code>U+22B3</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \trianglerighteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22B5;<!-- ⊵ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \trianglerighteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6516cae0c87d37b253273e540174c3ce583c401" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \trianglerighteq }"></span>
+</td>
+<td style="text-align: center;">⊵
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\trianglerighteq N}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x22B5;<!-- ⊵ --></mo>
+        <mi>N</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\trianglerighteq N}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7054d7c7962156c34e119a3f2f4f7b923b3ac46a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:6.989ex; height:2.343ex;" alt="{\displaystyle G\trianglerighteq N}"></span>
+</td>
+<td><code><small>\trianglerighteq</small></code>
+</td>
+<td><code>&amp;RightTriangleEqual;</code>
+</td>
+<td><code>U+22B5</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \vartriangleright }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22EB;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \vartriangleright }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b0d720551c65079a1bd94dd7fdc3c262769bfd4c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \not \vartriangleright }"></span>
+</td>
+<td style="text-align: center;">⋫
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\not \vartriangleright N}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x22EB;</mo>
+        <mi>N</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\not \vartriangleright N}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74d023a3b26903329dd0ccd80133d4de4bda844f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.989ex; height:2.509ex;" alt="{\displaystyle G\not \vartriangleright N}"></span>
+</td>
+<td><code><small>\not\vartriangleright</small></code>
+</td>
+<td><code>&amp;NotRightTriangle;</code>
+</td>
+<td><code>U+22EB</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \not \trianglerighteq }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22ED;</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \not \trianglerighteq }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f0cf55d696c1012cce87980ca3d44e8c974cdf80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.808ex; height:3.176ex;" alt="{\displaystyle \not \trianglerighteq }"></span>
+</td>
+<td style="text-align: center;">⋭
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G\not \trianglerighteq N}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mo>&#x22ED;</mo>
+        <mi>N</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G\not \trianglerighteq N}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32d26fa32d752890c5e869b49b0a4087950eb134" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:6.989ex; height:3.176ex;" alt="{\displaystyle G\not \trianglerighteq N}"></span>
+</td>
+<td><code><small>\not\trianglerighteq</small></code>
+</td>
+<td><code>&amp;NotRightTriangleEqual;</code>
+</td>
+<td><code>U+22ED</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle /}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle /}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da0c4de1fba637d9799f6c64a6c77bf016d0ce1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle /}"></span>
+</td>
+<td style="text-align: center;">/
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle G/N}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>G</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+        <mi>N</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle G/N}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ab52bff253c690c4e0d473400ab8c365ea019298" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.053ex; height:2.843ex;" alt="{\displaystyle G/N}"></span>
+</td>
+<td><a href="/wiki/Quotient_group" title="Quotient group">Quotient group</a>
+</td>
+<td><code>/</code>
+</td>
+<td><code>&amp;frasl;</code>
+</td>
+<td><code>U+002F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \colon }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x003A;<!-- : --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \colon }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f2e6c5693c4d5334c475a3c5c696d20f65ec7993" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:1.676ex;" alt="{\displaystyle \colon }"></span>
+</td>
+<td style="text-align: center;">:
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle (G\colon U)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mi>G</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>U</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle (G\colon U)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/91251ec8380fd58057f710be7b18edd58a287516" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.453ex; height:2.843ex;" alt="{\displaystyle (G\colon U)}"></span>
+</td>
+<td><a href="/wiki/Index_of_a_subgroup" title="Index of a subgroup">Index of a subgroup</a>
+</td>
+<td><code>\colon</code>
+</td>
+<td><code>&amp;colon;</code>
+</td>
+<td><code>U+003A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle ~~\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle ~~\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47520dac6f5d37461df1f2fcc779f23432978028" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.971ex; height:2.843ex;" alt="{\displaystyle \langle ~~\rangle }"></span>
+</td>
+<td style="text-align: center;">⟨ ⟩
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \langle E\rangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
+        <mi>E</mi>
+        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \langle E\rangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70555e89feeab8115d807a1fb93b9636475e3566" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.585ex; height:2.843ex;" alt="{\displaystyle \langle E\rangle }"></span>
+</td>
+<td><a href="/wiki/Generating_set_of_a_group" title="Generating set of a group">Generating set of a group</a>
+</td>
+<td><code>\langle \rangle</code>
+</td>
+<td><code>&amp;lang;</code> <code>&amp;rang;</code>
+</td>
+<td><code>U+27E8/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [~~]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [~~]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1376a583a956836622dd69bd6fb32d91fe2a6d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle [~~]}"></span>
+</td>
+<td style="text-align: center;">&#91; &#93;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [g,h]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mi>g</mi>
+        <mo>,</mo>
+        <mi>h</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [g,h]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f333f57962c0c7a4f1f9caa3c965a48437d8544" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.783ex; height:2.843ex;" alt="{\displaystyle [g,h]}"></span>
+</td>
+<td><a href="/wiki/Commutator" title="Commutator">Commutator</a>
+</td>
+<td><code>[  ]</code>
+</td>
+<td><code>&amp;lsqb;</code> <code>&amp;rsqb;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Field_theory">Field theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=53" title="Edit section: Field theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle /}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle /}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da0c4de1fba637d9799f6c64a6c77bf016d0ce1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle /}"></span>
+</td>
+<td style="text-align: center;">/
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle L/K}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>L</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+        <mi>K</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle L/K}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d0381945929156997b99bb43e5b7067d18c9a84b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.811ex; height:2.843ex;" alt="{\displaystyle L/K}"></span>
+</td>
+<td rowspan="3"><a href="/wiki/Field_extension" title="Field extension">Field extension</a>
+</td>
+<td><code>/</code>
+</td>
+<td><code>&amp;frasl;</code>
+</td>
+<td><code>U+002F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mid }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2223;<!-- ∣ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mid }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8f7b2136e276c4aec285a6c40b91180c16432b9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:0.647ex; height:2.843ex;" alt="{\displaystyle \mid }"></span>
+</td>
+<td style="text-align: center;">|
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle L\mid K}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>L</mi>
+        <mo>&#x2223;<!-- ∣ --></mo>
+        <mi>K</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle L\mid K}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b1e59bcf0b7d9b0b9484d39243cff646f8c952c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.586ex; height:2.843ex;" alt="{\displaystyle L\mid K}"></span>
+</td>
+<td><code>\mid</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td rowspan="2" style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \colon }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x003A;<!-- : --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \colon }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f2e6c5693c4d5334c475a3c5c696d20f65ec7993" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.647ex; height:1.676ex;" alt="{\displaystyle \colon }"></span>
+</td>
+<td style="text-align: center;">:
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle L\colon K}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>L</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>K</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle L\colon K}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/51f912452c44a9eebd67d8948016ad8965fe193d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.683ex; height:2.176ex;" alt="{\displaystyle L\colon K}"></span>
+</td>
+<td rowspan="2"><code>\colon</code>
+</td>
+<td rowspan="2"><code>&amp;colon;</code>
+</td>
+<td rowspan="2"><code>U+003A</code>
+</td></tr>
+<tr>
+<td style="text-align: center;">
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [L\colon K]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mi>L</mi>
+        <mo>&#x003A;<!-- : --></mo>
+        <mi>K</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [L\colon K]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32df0ec52f5617ce053be81004d1a681c8d7cffc" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.976ex; height:2.843ex;" alt="{\displaystyle [L\colon K]}"></span>
+</td>
+<td><a href="/wiki/Degree_of_a_field_extension" title="Degree of a field extension">Degree of a field extension</a>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/768bacda8640617e7a9ee2f01f86f21a40ddf4e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\bar {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {K}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>K</mi>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {K}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/765c2b191b262ce7ed12de8b9fc45ef62e51ae73" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.066ex; height:2.509ex;" alt="{\displaystyle {\bar {K}}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Algebraic_closure" title="Algebraic closure">Algebraic closure</a>
+</td>
+<td><code>\bar</code>
+</td>
+<td><code>&amp;#x304;</code>
+</td>
+<td><code>U+0304</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a91edff755a91d1bbd8d9e6ec5da35190ad0ca2c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.276ex; height:1.676ex;" alt="{\displaystyle {\overline {~~}}}"></span>
+</td>
+<td style="text-align: center;">◌̅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {K}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mi>K</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {K}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8d5ec352e79f883030b85cbfb6600ad03b72663" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.241ex; height:3.009ex;" alt="{\displaystyle {\overline {K}}}"></span>
+</td>
+<td><code>\overline</code>
+</td>
+<td><code>&amp;#x305;</code>
+</td>
+<td><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle ()}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">(</mo>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle ()}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7bc8aa05e1302397bb3e7877e842784991351df" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.809ex; height:2.843ex;" alt="{\displaystyle ()}"></span>
+</td>
+<td style="text-align: center;">( )
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle K(\alpha )}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>K</mi>
+        <mo stretchy="false">(</mo>
+        <mi>&#x03B1;<!-- α --></mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle K(\alpha )}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2892c42db68269b951dfb7bd08f87b097e4d909" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.363ex; height:2.843ex;" alt="{\displaystyle K(\alpha )}"></span>
+</td>
+<td><a href="/wiki/Field_extension" title="Field extension">Field extension</a>, <a href="/wiki/Algebraic_number_field" title="Algebraic number field">Algebraic number field</a>
+</td>
+<td><code>( )</code>
+</td>
+<td><code>&amp;lpar;</code> <code>&amp;rpar;</code>
+</td>
+<td><code>U+0028/9</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {F} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">F</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {F} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/573f72afae7df709959ab1a58cd643743466a187" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.42ex; height:2.176ex;" alt="{\displaystyle \mathbb {F} }"></span>
+</td>
+<td style="text-align: center;">𝔽
+</td>
+<td style="text-align: center;">
+</td>
+<td><a href="/wiki/Finite_field" title="Finite field">Finite field</a>
+</td>
+<td><code>\mathbb{F}</code>
+</td>
+<td><code>&amp;Fopf;</code>
+</td>
+<td><code>U+1D53D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbb {K} }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mi mathvariant="double-struck">K</mi>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbb {K} }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1848c435e64864e9ad4efa7e46bd6bc900c35c99" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \mathbb {K} }"></span>
+</td>
+<td style="text-align: center;">𝕂
+</td>
+<td style="text-align: center;">
+</td>
+<td><a href="/wiki/Field_(mathematics)" title="Field (mathematics)">Field (mathematics)</a>
+</td>
+<td><code>\mathbb{K}</code>
+</td>
+<td><code>&amp;Kopf;</code>
+</td>
+<td><code>U+1D542</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Ring_theory">Ring theory</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=54" title="Edit section: Ring theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/083d1bbfe34ad3c8f02487c7a392d2e55b0ee75a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle {}^{\ast }}"></span>
+</td>
+<td style="text-align: center;">∗
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R^{\ast }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>R</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2217;<!-- ∗ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R^{\ast }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57fccdf64b58feb62a438efd784c9696f4bdc21e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.818ex; height:2.343ex;" alt="{\displaystyle R^{\ast }}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Group_of_units" class="mw-redirect" title="Group of units">Group of units</a>
+</td>
+<td><code>\ast</code>
+</td>
+<td><code>&amp;lowast;</code>
+</td>
+<td><code>U+2217</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\times }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x00D7;<!-- × --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\times }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c36e89c092a709ad2ca0220b9ced224f68f105d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.511ex; height:2.176ex;" alt="{\displaystyle {}^{\times }}"></span>
+</td>
+<td style="text-align: center;">⨯
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R^{\times }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>R</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x00D7;<!-- × --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R^{\times }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92c9000bc6f7ffcd09966ca0187b63c877c0d5e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.275ex; height:2.343ex;" alt="{\displaystyle R^{\times }}"></span>
+</td>
+<td><code>\times</code>
+</td>
+<td><code>&amp;times;</code>
+</td>
+<td><code>U+2A2F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \vartriangleleft }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22B2;<!-- ⊲ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \vartriangleleft }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d9d6e302fa02d3bb6a353a548cc173fd2cc3b90" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:1.843ex;" alt="{\displaystyle \vartriangleleft }"></span>
+</td>
+<td style="text-align: center;">⊲
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle I\vartriangleleft R}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>I</mi>
+        <mo>&#x22B2;<!-- ⊲ --></mo>
+        <mi>R</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle I\vartriangleleft R}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c8c7e17063857bd2449dfc117693457123772562" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.034ex; height:2.176ex;" alt="{\displaystyle I\vartriangleleft R}"></span>
+</td>
+<td><a href="/wiki/Ideal_(ring_theory)" title="Ideal (ring theory)">Ideal (ring theory)</a>
+</td>
+<td><small><code>\vartriangleleft</code></small>
+</td>
+<td><code>&amp;LeftTriangle;</code>
+</td>
+<td><code>U+22B2</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle /}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle /}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da0c4de1fba637d9799f6c64a6c77bf016d0ce1e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle /}"></span>
+</td>
+<td style="text-align: center;">/
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R/I}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>R</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>/</mo>
+        </mrow>
+        <mi>I</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R/I}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0650c975ee7bf3b39ce3144a5de71179c40ee493" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.098ex; height:2.843ex;" alt="{\displaystyle R/I}"></span>
+</td>
+<td><a href="/wiki/Quotient_ring" title="Quotient ring">Quotient ring</a>
+</td>
+<td><code>/</code>
+</td>
+<td><code>&amp;frasl;</code>
+</td>
+<td><code>U+002F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [~~]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [~~]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1376a583a956836622dd69bd6fb32d91fe2a6d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle [~~]}"></span>
+</td>
+<td style="text-align: center;">&#91; &#93;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R[X]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>R</mi>
+        <mo stretchy="false">[</mo>
+        <mi>X</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R[X]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afeccd52deabb878398a8485755c3ceea80caf9a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.038ex; height:2.843ex;" alt="{\displaystyle R[X]}"></span>
+</td>
+<td><a href="/wiki/Polynomial_ring" title="Polynomial ring">Polynomial ring</a>
+</td>
+<td><code>[  ]</code>
+</td>
+<td><code>&amp;lsqb;</code> <code>&amp;rsqb;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [[~~]]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [[~~]]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f33148076b80e4e2705a2ce4a0abe7f292a9d90c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.749ex; height:2.843ex;" alt="{\displaystyle [[~~]]}"></span>
+</td>
+<td style="text-align: center;">&#91; &#93;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle R[[X]],R((X))}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>R</mi>
+        <mo stretchy="false">[</mo>
+        <mo stretchy="false">[</mo>
+        <mi>X</mi>
+        <mo stretchy="false">]</mo>
+        <mo stretchy="false">]</mo>
+        <mo>,</mo>
+        <mi>R</mi>
+        <mo stretchy="false">(</mo>
+        <mo stretchy="false">(</mo>
+        <mi>X</mi>
+        <mo stretchy="false">)</mo>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle R[[X]],R((X))}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f3f8d258567ef0c33d0354db00ce7d092ce1f28" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.728ex; height:2.843ex;" alt="{\displaystyle R[[X]],R((X))}"></span>
+</td>
+<td><a href="/wiki/Formal_power_series#The_ring_of_formal_power_series" title="Formal power series">Formal power series</a>
+</td>
+<td><code>[[  ]] </code>
+</td>
+<td><code>&amp;lsqb;</code> <code>&amp;rsqb;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \deg }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>deg</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \deg }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f29e5c13ab9f22bd718811843a77723ebc4aa77f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.487ex; height:2.509ex;" alt="{\displaystyle \deg }"></span>
+</td>
+<td style="text-align: center;">deg
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \deg p(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>deg</mi>
+        <mo>&#x2061;<!-- ⁡ --></mo>
+        <mi>p</mi>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \deg p(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b3716a8a2649585c044707217bc9ed9323607e7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.183ex; height:2.843ex;" alt="{\displaystyle \deg p(x)}"></span>
+</td>
+<td><a href="/wiki/Degree_of_a_polynomial" title="Degree of a polynomial">Degree of a polynomial</a>
+</td>
+<td><code>\deg</code>
+</td>
+<td><code>deg;</code>
+</td>
+<td>
+</td></tr></tbody></table>
+<h2><span class="mw-headline" id="Geometry">Geometry</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=55" title="Edit section: Geometry"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h2>
+<h3><span class="mw-headline" id="Euclidean_geometry">Euclidean geometry</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=56" title="Edit section: Euclidean geometry"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [~~]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [~~]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1376a583a956836622dd69bd6fb32d91fe2a6d80" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle [~~]}"></span>
+</td>
+<td style="text-align: center;">&#91; &#93;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle [AB]}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo stretchy="false">[</mo>
+        <mi>A</mi>
+        <mi>B</mi>
+        <mo stretchy="false">]</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle [AB]}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13e80b9404482bdbe7fe18d8435b3dd42fd39bb0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.801ex; height:2.843ex;" alt="{\displaystyle [AB]}"></span>
+</td>
+<td rowspan="4"><a href="/wiki/Line_segment" title="Line segment">Line segment</a>
+</td>
+<td><code>[  ]</code> <code>\left[  \right]</code>
+</td>
+<td><code>&amp;lsqb;</code> <code>&amp;rsqb;</code>
+</td>
+<td><code>U+005B/D</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |~~|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mtext>&#xA0;</mtext>
+        <mtext>&#xA0;</mtext>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |~~|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29900ebd10692214f66b27b664618fe5b23c369d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.455ex; height:2.843ex;" alt="{\displaystyle |~~|}"></span>
+</td>
+<td style="text-align: center;">&#124; &#124;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle |AB|}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+        <mi>A</mi>
+        <mi>B</mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo stretchy="false">|</mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle |AB|}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fa0bf6dba77a8b8734eb4356cac20b49e9a80c3c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.801ex; height:2.843ex;" alt="{\displaystyle |AB|}"></span>
+</td>
+<td><code>\vert</code>
+</td>
+<td><code>&amp;VerticalLine;</code>
+</td>
+<td><code>U+007C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a91edff755a91d1bbd8d9e6ec5da35190ad0ca2c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.276ex; height:1.676ex;" alt="{\displaystyle {\overline {~~}}}"></span>
+</td>
+<td style="text-align: center;">&#x305;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {AB}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mi>A</mi>
+              <mi>B</mi>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {AB}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70f91c39c977790f3cc4e768d5aad89bb1696110" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.622ex; height:3.009ex;" alt="{\displaystyle {\overline {AB}}}"></span>
+</td>
+<td><code>\overline</code>
+</td>
+<td><code>&amp;#x305;</code>
+</td>
+<td><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\underline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <munder>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo>&#x005F;<!-- _ --></mo>
+          </munder>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\underline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93e84acfdadb9a78fabc71af76eae2f919d913b5" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.509ex; margin-bottom: -0.829ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle {\underline {~~}}}"></span>
+</td>
+<td style="text-align: center;">&#x332;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\underline {AB}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <munder>
+            <mrow>
+              <mi>A</mi>
+              <mi>B</mi>
+            </mrow>
+            <mo>&#x005F;<!-- _ --></mo>
+          </munder>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\underline {AB}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d2e91ebb49d5e2c9d1e66397de68d181df5c11d2" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.511ex; margin-bottom: -0.827ex; width:3.509ex; height:3.176ex;" alt="{\displaystyle {\underline {AB}}}"></span>
+</td>
+<td><code>\underline</code>
+</td>
+<td><code>&amp;#x332;</code>
+</td>
+<td><code>U+0332</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overrightarrow {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo>&#x2192;<!-- → --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overrightarrow {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea5972128996be84910512d7e6391ea7710abc8e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:2.324ex; height:2.843ex;" alt="{\displaystyle {\overrightarrow {~~}}}"></span>
+</td>
+<td style="text-align: center;">&#x20d7;
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overrightarrow {AB}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mi>A</mi>
+              <mi>B</mi>
+            </mrow>
+            <mo>&#x2192;<!-- → --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overrightarrow {AB}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b245e60e48c3c8f577aaf9512a1bdf3049cc6207" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-top: -0.372ex; width:3.637ex; height:3.843ex;" alt="{\displaystyle {\overrightarrow {AB}}}"></span>
+</td>
+<td><a href="/wiki/Euclidean_vector" title="Euclidean vector">Euclidean vector</a> <br />and <a href="/wiki/Affine_space" title="Affine space">Affine space</a>
+</td>
+<td><code>\vec</code>
+</td>
+<td><code>&amp;#x20D7;</code>
+</td>
+<td><code>U+20D7</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \angle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2220;<!-- ∠ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \angle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fb772c0cb6f32e9359da3c1a0a26f8ac8f66301f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \angle }"></span>
+</td>
+<td style="text-align: center;">∠
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \angle ABC}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2220;<!-- ∠ --></mi>
+        <mi>A</mi>
+        <mi>B</mi>
+        <mi>C</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \angle ABC}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/12f06f0e08674b71fe1bcd2c91551a512c343c9b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.952ex; height:2.176ex;" alt="{\displaystyle \angle ABC}"></span>
+</td>
+<td><a href="/wiki/Angle" title="Angle">Angle</a>
+</td>
+<td><code>\angle</code>
+</td>
+<td><code>&amp;ang;</code>
+</td>
+<td><code>U+2220</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">∡
+</td>
+<td style="text-align: center;">∡ABC
+</td>
+<td><a href="/wiki/Angle_measure" class="mw-redirect" title="Angle measure">Angle measure</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;measuredangle;</code>
+</td>
+<td><code>U+2221</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">∟
+</td>
+<td style="text-align: center;">∟ABC
+</td>
+<td><a href="/wiki/Right_angle" title="Right angle">Right angle</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;angrt;</code>
+</td>
+<td><code>U+221F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⦜
+</td>
+<td style="text-align: center;">⦜ABC
+</td>
+<td><a href="/wiki/Right_angle" title="Right angle">Right angle</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;vangrt;</code>
+</td>
+<td><code>U+299C</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⦟
+</td>
+<td style="text-align: center;">⦟ABC
+</td>
+<td><a href="/wiki/Acute_angle" class="mw-redirect" title="Acute angle">Acute angle</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;#x299F;</code>
+</td>
+<td><code>U+299F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⦦
+</td>
+<td style="text-align: center;">⦦ABC
+</td>
+<td><a href="/wiki/Obtuse_angle" class="mw-redirect" title="Obtuse angle">Obtuse angle</a>, <a href="/wiki/Oblique_angle" class="mw-redirect" title="Oblique angle">Oblique angle</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;dwangle;</code>
+</td>
+<td><code>U+29A6</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⦞
+</td>
+<td style="text-align: center;">⦞ABC
+</td>
+<td><a href="/wiki/Angle" title="Angle">Angles</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;#x299E;</code>
+</td>
+<td><code>U+299E</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \parallel }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2225;<!-- ∥ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \parallel }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/66ed42f2e3eab99383c61f27773eba258aefeaac" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.162ex; height:2.843ex;" alt="{\displaystyle \parallel }"></span>
+</td>
+<td style="text-align: center;">∥
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle g\parallel h}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>g</mi>
+        <mo>&#x2225;<!-- ∥ --></mo>
+        <mi>h</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle g\parallel h}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/63f11fcf46f5bad266727f3894a0939ec8f1122f" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.908ex; height:2.843ex;" alt="{\displaystyle g\parallel h}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Parallel_(geometry)" title="Parallel (geometry)">Parallel (geometry)</a>
+</td>
+<td><code>\parallel</code>
+</td>
+<td><code>&amp;shortparallel;</code>
+</td>
+<td><code>U+2225</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \nparallel }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2226;<!-- ∦ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \nparallel }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/284fd5b520edf8afe4e93d289509f6fe9c27d728" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.045ex; margin-right: -0.042ex; width:1.25ex; height:2.843ex;" alt="{\displaystyle \nparallel }"></span>
+</td>
+<td style="text-align: center;">∦
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle g\nparallel h}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>g</mi>
+        <mo>&#x2226;<!-- ∦ --></mo>
+        <mi>h</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle g\nparallel h}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/efb398185363c27be45a04f7ead56f6f7522a55d" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.908ex; height:2.843ex;" alt="{\displaystyle g\nparallel h}"></span>
+</td>
+<td><code>\nparallel</code>
+</td>
+<td><code>&amp;NotDoubleVerticalBar;</code>
+</td>
+<td><code>U+2226</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \perp }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22A5;<!-- ⊥ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \perp }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/afb90d6db42aa12f9e2f31176a4ed4e741c69eca" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \perp }"></span>
+</td>
+<td style="text-align: center;">⟂
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle g\perp h}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>g</mi>
+        <mo>&#x22A5;<!-- ⊥ --></mo>
+        <mi>h</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle g\perp h}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2fea1e0392201bd7006a81b5b1da7f7954eb964e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.553ex; height:2.509ex;" alt="{\displaystyle g\perp h}"></span>
+</td>
+<td><a href="/wiki/Orthogonality" title="Orthogonality">Orthogonality</a>
+</td>
+<td><code>\perp</code>
+</td>
+<td><code>&amp;perp;</code>
+</td>
+<td><code>U+27C2</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \triangle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x25B3;<!-- △ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \triangle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d909fe94e8277a4c44a50853cb7dbbf0fa3148ed" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.066ex; height:2.176ex;" alt="{\displaystyle \triangle }"></span>
+</td>
+<td style="text-align: center;">△
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \triangle ABC}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x25B3;<!-- △ --></mi>
+        <mi>A</mi>
+        <mi>B</mi>
+        <mi>C</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \triangle ABC}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/821677f03b63c3c2e448dffc2ae9c8eea31d9d48" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.339ex; height:2.176ex;" alt="{\displaystyle \triangle ABC}"></span>
+</td>
+<td><a href="/wiki/Triangle" title="Triangle">Triangle</a>
+</td>
+<td><code>\triangle</code>
+</td>
+<td><code>&amp;bigtriangleup;</code>
+</td>
+<td><code>U+25B3</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⊿
+</td>
+<td style="text-align: center;">⊿ABC
+</td>
+<td><a href="/wiki/Right_triangle" title="Right triangle">Right triangle</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;lrtri;</code>
+</td>
+<td><code>U+22BF</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \square }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x25FB;<!-- ◻ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \square }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/455831d58fa08f311b934d324adcff89a868b4e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \square }"></span>
+</td>
+<td style="text-align: center;">□
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \square {\mathit {ABCD}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x25FB;<!-- ◻ --></mi>
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-tex-mathit" mathvariant="italic">A</mi>
+            <mi class="MJX-tex-mathit" mathvariant="italic">B</mi>
+            <mi class="MJX-tex-mathit" mathvariant="italic">C</mi>
+            <mi class="MJX-tex-mathit" mathvariant="italic">D</mi>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \square {\mathit {ABCD}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1171917ff5efde98f0c3f20bbac0d4cb5b3b4f52" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.046ex; width:8.637ex; height:2.176ex;" alt="{\displaystyle \square {\mathit {ABCD}}}"></span>
+</td>
+<td><a href="/wiki/Quadrilateral" title="Quadrilateral">Quadrilateral</a>
+</td>
+<td><code>\square</code>
+</td>
+<td><code>&amp;squ;</code>
+</td>
+<td><code>U+25A1</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">▭
+</td>
+<td style="text-align: center;">▭ABCD
+</td>
+<td><a href="/wiki/Rectangle" title="Rectangle">Rectangle</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;rect;</code>
+</td>
+<td><code>U+25AD</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⏢
+</td>
+<td style="text-align: center;">⏢ABCD
+</td>
+<td><a href="/wiki/Trapezium" class="mw-disambig" title="Trapezium">Trapezium</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;trpezium;</code>
+</td>
+<td><code>U+23E2</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">▱
+</td>
+<td style="text-align: center;">▱ABCD
+</td>
+<td><a href="/wiki/Parallelogram" title="Parallelogram">Parallelogram</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;fltns;</code>
+</td>
+<td><code>U+25B1</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">◊
+</td>
+<td style="text-align: center;">◊ABCD
+</td>
+<td><a href="/wiki/Rhombus" title="Rhombus">Rhombus</a>, <a href="/wiki/Lozenge_(shape)" title="Lozenge (shape)">Lozenge</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;loz;</code>
+</td>
+<td><code>U+25CA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⬠
+</td>
+<td style="text-align: center;">⬠ABCDE
+</td>
+<td><a href="/wiki/Pentagon" title="Pentagon">Pentagon</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;#x2B20;</code>
+</td>
+<td><code>U+2B20</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⬡
+</td>
+<td style="text-align: center;">⬡ABCDEF
+</td>
+<td><a href="/wiki/Hexagon" title="Hexagon">Hexagon</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;#x2B21;</code>
+</td>
+<td><code>U+2B21</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">⬢
+</td>
+<td style="text-align: center;">⬢ABCDEF
+</td>
+<td><a href="/wiki/Hexagon" title="Hexagon">Hexagon</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;#x2B22;</code>
+</td>
+<td><code>U+2B22</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">○
+</td>
+<td style="text-align: center;">○S
+</td>
+<td><a href="/wiki/Circle" title="Circle">Circle</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;cir;</code>
+</td>
+<td><code>U+25CB</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0" />
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:0; height:0.343ex;" alt="{\displaystyle }"></span>
+</td>
+<td style="text-align: center;">●
+</td>
+<td style="text-align: center;">●S
+</td>
+<td><a href="/wiki/Disc" class="mw-disambig" title="Disc">Disc</a>
+</td>
+<td><code></code>
+</td>
+<td><code>&amp;#x25CF;</code>
+</td>
+<td><code>U+25CF</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Differential_geometry">Differential geometry</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=57" title="Edit section: Differential geometry"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathcal {L}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi class="MJX-tex-caligraphic" mathvariant="script">L</mi>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathcal {L}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9027196ecb178d598958555ea01c43157d83597c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.604ex; height:2.176ex;" alt="{\displaystyle {\mathcal {L}}}"></span>
+</td>
+<td style="text-align: center;">ℒ
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\mathcal {L}}_{X}\omega }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mrow class="MJX-TeXAtom-ORD">
+              <mi class="MJX-tex-caligraphic" mathvariant="script">L</mi>
+            </mrow>
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>X</mi>
+          </mrow>
+        </msub>
+        <mi>&#x03C9;<!-- ω --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\mathcal {L}}_{X}\omega }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5a4ba1c97281a0b2d15af2e5a680c4cab18cc421" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.682ex; height:2.509ex;" alt="{\displaystyle {\mathcal {L}}_{X}\omega }"></span>
+</td>
+<td><a href="/wiki/Lie_derivative" title="Lie derivative">Lie derivative</a>
+</td>
+<td><code>\mathcal{L}</code>
+</td>
+<td><code>&amp;#x2112;</code>
+</td>
+<td><code>U+2112</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \mathbin {\lrcorner } }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mo>&#x231F;<!-- ⌟ --></mo>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \mathbin {\lrcorner } }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6a88f4c89359824fe5af39972f5bf77b26a6a1e6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:1.509ex;" alt="{\displaystyle \mathbin {\lrcorner } }"></span>
+</td>
+<td style="text-align: center;">⌟
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle X\mathbin {\lrcorner } \omega }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>X</mi>
+        <mrow class="MJX-TeXAtom-BIN">
+          <mo>&#x231F;<!-- ⌟ --></mo>
+        </mrow>
+        <mi>&#x03C9;<!-- ω --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle X\mathbin {\lrcorner } \omega }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b192e18c32d24c146ee394fa6a56b3e879dd69a7" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.621ex; height:2.176ex;" alt="{\displaystyle X\mathbin {\lrcorner } \omega }"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Interior_product" title="Interior product">Interior product</a>
+</td>
+<td><code>\mathbin{\lrcorner}</code>
+</td>
+<td><code>&amp;lrcorner;</code>
+</td>
+<td><code>U+231F</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \iota }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03B9;<!-- ι --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \iota }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bce48dd56254d0a7c33e987c7c8eeb44c963ac04" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.823ex; height:1.676ex;" alt="{\displaystyle \iota }"></span>
+</td>
+<td style="text-align: center;">𝜄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \iota _{X}\omega }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msub>
+          <mi>&#x03B9;<!-- ι --></mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mi>X</mi>
+          </mrow>
+        </msub>
+        <mi>&#x03C9;<!-- ω --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \iota _{X}\omega }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/56184eeaf256ee60fa3d6dc813bd58f04c41573e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.902ex; height:2.009ex;" alt="{\displaystyle \iota _{X}\omega }"></span>
+</td>
+<td><code>\iota</code>
+</td>
+<td><code>&amp;#x1D704;</code>
+</td>
+<td><code>U+1D704</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \wedge }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x2227;<!-- ∧ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \wedge }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1caa4004cb216ef2930bb12fe805a76870caed94" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.009ex;" alt="{\displaystyle \wedge }"></span>
+</td>
+<td style="text-align: center;">∧
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \omega \wedge \eta }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi>&#x03C9;<!-- ω --></mi>
+        <mo>&#x2227;<!-- ∧ --></mo>
+        <mi>&#x03B7;<!-- η --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \omega \wedge \eta }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/60d8de1dff983c3e53066825841da1a3e53be0ef" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.198ex; height:2.509ex;" alt="{\displaystyle \omega \wedge \eta }"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Wedge_product" class="mw-redirect" title="Wedge product">Wedge product</a>
+</td>
+<td><code>\wedge</code>
+</td>
+<td><code>&amp;wedge;</code>
+</td>
+<td><code>U+2227</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \bigwedge }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mo>&#x22C0;<!-- ⋀ --></mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \bigwedge }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b20eaee46377072a177e3577ea439d142574f6aa" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:2.582ex; height:3.843ex;" alt="{\displaystyle \bigwedge }"></span>
+</td>
+<td style="text-align: center;">⋀
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\textstyle \bigwedge ^{k}}A}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mstyle displaystyle="false" scriptlevel="0">
+            <mover>
+              <mo>&#x22C0;<!-- ⋀ --></mo>
+              <mrow class="MJX-TeXAtom-ORD">
+                <mi>k</mi>
+              </mrow>
+            </mover>
+          </mstyle>
+        </mrow>
+        <mi>A</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\textstyle \bigwedge ^{k}}A}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b73d143d776f8dd91db0ef2ad72a5e177773f356" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.768ex; height:3.343ex;" alt="{\displaystyle {\textstyle \bigwedge ^{k}}A}"></span>
+</td>
+<td><code>\bigwedge</code>
+</td>
+<td><code>&amp;Wedge;</code>
+</td>
+<td><code>U+22C0</code>
+</td></tr></tbody></table>
+<h3><span class="mw-headline" id="Topology">Topology</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_mathematical_symbols_by_subject&amp;action=edit&amp;section=58" title="Edit section: Topology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></h3>
+<table class="wikitable">
+<tbody><tr>
+<th>Symbol
+</th>
+<th>Unicode character
+</th>
+<th>Usage
+</th>
+<th>Articles with usage
+</th>
+<th>LaTeX
+</th>
+<th>HTML
+</th>
+<th>Unicode Hex
+</th></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \partial }">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \partial }</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/62b4e7c1cedb9564609aefd2aa2309972f455c24" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.318ex; height:2.176ex;" alt="{\displaystyle \partial }"></span>
+</td>
+<td style="text-align: center;">∂
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle \partial U}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
+        <mi>U</mi>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle \partial U}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1360e3416408f1420e852179eb2552c020599426" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.101ex; height:2.176ex;" alt="{\displaystyle \partial U}"></span>
+</td>
+<td><a href="/wiki/Boundary_(topology)" title="Boundary (topology)">Boundary (topology)</a>
+</td>
+<td><code>\partial</code>
+</td>
+<td><code>&amp;part;</code>
+</td>
+<td><code>U+2202</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {}^{\circ }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mrow class="MJX-TeXAtom-ORD">
+
+          </mrow>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2218;<!-- ∘ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {}^{\circ }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bd5c5ee883200dd114eee3c2638423954d36ed06" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.171ex; width:1.054ex; height:2.176ex;" alt="{\displaystyle {}^{\circ }}"></span>
+</td>
+<td style="text-align: center;">˚
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle U^{\circ }}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <msup>
+          <mi>U</mi>
+          <mrow class="MJX-TeXAtom-ORD">
+            <mo>&#x2218;<!-- ∘ --></mo>
+          </mrow>
+        </msup>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle U^{\circ }}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee5cf941b90e81fcba4b8524da26ad18ac92db2a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.895ex; height:2.343ex;" alt="{\displaystyle U^{\circ }}"></span>
+</td>
+<td><a href="/wiki/Interior_(topology)" title="Interior (topology)">Interior (topology)</a>
+</td>
+<td><code>\circ</code>
+</td>
+<td><code>&amp;deg;</code>
+</td>
+<td><code>U+02DA</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/768bacda8640617e7a9ee2f01f86f21a40ddf4e0" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.009ex;" alt="{\displaystyle {\bar {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̄
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\bar {z}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>z</mi>
+              <mo stretchy="false">&#x00AF;<!-- ¯ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\bar {z}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52dd0599595d539f7d757ec21da6c6e6ac3ad427" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.296ex; height:2.009ex;" alt="{\displaystyle {\bar {z}}}"></span>
+</td>
+<td rowspan="2"><a href="/wiki/Closure_(topology)" title="Closure (topology)">Closure (topology)</a>
+</td>
+<td><code>\bar</code>
+</td>
+<td><code>&amp;#x304;</code>
+</td>
+<td><code>U+0304</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {~~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mrow>
+              <mtext>&#xA0;</mtext>
+              <mtext>&#xA0;</mtext>
+            </mrow>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {~~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a91edff755a91d1bbd8d9e6ec5da35190ad0ca2c" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.671ex; width:1.276ex; height:1.676ex;" alt="{\displaystyle {\overline {~~}}}"></span>
+</td>
+<td style="text-align: center;">◌̅
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\overline {z}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mover>
+            <mi>z</mi>
+            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
+          </mover>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\overline {z}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/64281d029a1d4bef9545644f01821c713f876f76" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.208ex; height:2.343ex;" alt="{\displaystyle {\overline {z}}}"></span>
+</td>
+<td><code>\overline</code>
+</td>
+<td><code>&amp;#x305;</code>
+</td>
+<td><code>U+0305</code>
+</td></tr>
+<tr>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\dot {~}}}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mtext>&#xA0;</mtext>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\dot {~}}}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/717c8363f08114269c21a5223838e0c8a9992190" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: 0; margin-bottom: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle {\dot {~}}}"></span>
+</td>
+<td style="text-align: center;">◌̇
+</td>
+<td style="text-align: center;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"  alttext="{\displaystyle {\dot {U}}(x)}">
+  <semantics>
+    <mrow class="MJX-TeXAtom-ORD">
+      <mstyle displaystyle="true" scriptlevel="0">
+        <mrow class="MJX-TeXAtom-ORD">
+          <mrow class="MJX-TeXAtom-ORD">
+            <mover>
+              <mi>U</mi>
+              <mo>&#x02D9;<!-- ˙ --></mo>
+            </mover>
+          </mrow>
+        </mrow>
+        <mo stretchy="false">(</mo>
+        <mi>x</mi>
+        <mo stretchy="false">)</mo>
+      </mstyle>
+    </mrow>
+    <annotation encoding="application/x-tex">{\displaystyle {\dot {U}}(x)}</annotation>
+  </semantics>
+</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f3ffe1259120cb00e38cea85c9f612f2aebf5f7e" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.922ex; height:3.176ex;" alt="{\displaystyle {\dot {U}}(x)}"></span>
+</td>
+<td><a href="/wiki/Punctured_neighbourhood" class="mw-redirect" title="Punctured neighbourhood">Punctured neighbourhood</a>
+</td>
+<td><code>\dot</code>
+</td>
+<td>
+</td>
+<td><code>U+0307</code>
+</td></tr></tbody></table>
+</body>
+</html>
\ No newline at end of file
diff --git a/PythonScripts/ascii-math-symbols.js b/PythonScripts/ascii-math-symbols.js
new file mode 100644
index 00000000..a2daeefb
--- /dev/null
+++ b/PythonScripts/ascii-math-symbols.js
@@ -0,0 +1,282 @@
+// from github.com/asciimath/asciimathml/blob/master/asciimath-based/ASCIIMathTeXImg.js
+[
+//some greek symbols
+{input:"alpha",  tag:"mi", output:"\u03B1", tex:null, ttype:CONST},
+{input:"beta",   tag:"mi", output:"\u03B2", tex:null, ttype:CONST},
+{input:"chi",    tag:"mi", output:"\u03C7", tex:null, ttype:CONST},
+{input:"delta",  tag:"mi", output:"\u03B4", tex:null, ttype:CONST},
+{input:"Delta",  tag:"mo", output:"\u0394", tex:null, ttype:CONST},
+{input:"epsi",   tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST},
+{input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST},
+{input:"eta",    tag:"mi", output:"\u03B7", tex:null, ttype:CONST},
+{input:"gamma",  tag:"mi", output:"\u03B3", tex:null, ttype:CONST},
+{input:"Gamma",  tag:"mo", output:"\u0393", tex:null, ttype:CONST},
+{input:"iota",   tag:"mi", output:"\u03B9", tex:null, ttype:CONST},
+{input:"kappa",  tag:"mi", output:"\u03BA", tex:null, ttype:CONST},
+{input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST},
+{input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST},
+{input:"lamda",   tag:"mi", output:"lambda", tex:null, ttype:DEFINITION},
+{input:"Lamda",   tag:"mi", output:"Lambda", tex:null, ttype:DEFINITION},
+{input:"mu",     tag:"mi", output:"\u03BC", tex:null, ttype:CONST},
+{input:"nu",     tag:"mi", output:"\u03BD", tex:null, ttype:CONST},
+{input:"omega",  tag:"mi", output:"\u03C9", tex:null, ttype:CONST},
+{input:"Omega",  tag:"mo", output:"\u03A9", tex:null, ttype:CONST},
+{input:"phi",    tag:"mi", output:"\u03C6", tex:null, ttype:CONST},
+{input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST},
+{input:"Phi",    tag:"mo", output:"\u03A6", tex:null, ttype:CONST},
+{input:"pi",     tag:"mi", output:"\u03C0", tex:null, ttype:CONST},
+{input:"Pi",     tag:"mo", output:"\u03A0", tex:null, ttype:CONST},
+{input:"psi",    tag:"mi", output:"\u03C8", tex:null, ttype:CONST},
+{input:"Psi",    tag:"mi", output:"\u03A8", tex:null, ttype:CONST},
+{input:"rho",    tag:"mi", output:"\u03C1", tex:null, ttype:CONST},
+{input:"sigma",  tag:"mi", output:"\u03C3", tex:null, ttype:CONST},
+{input:"Sigma",  tag:"mo", output:"\u03A3", tex:null, ttype:CONST},
+{input:"tau",    tag:"mi", output:"\u03C4", tex:null, ttype:CONST},
+{input:"theta",  tag:"mi", output:"\u03B8", tex:null, ttype:CONST},
+{input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST},
+{input:"Theta",  tag:"mo", output:"\u0398", tex:null, ttype:CONST},
+{input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST},
+{input:"xi",     tag:"mi", output:"\u03BE", tex:null, ttype:CONST},
+{input:"Xi",     tag:"mo", output:"\u039E", tex:null, ttype:CONST},
+{input:"zeta",   tag:"mi", output:"\u03B6", tex:null, ttype:CONST},
+
+//binary operation symbols
+{input:"*",  tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST},
+{input:"**", tag:"mo", output:"\u2217", tex:"ast", ttype:CONST},
+{input:"***", tag:"mo", output:"\u22C6", tex:"star", ttype:CONST},
+{input:"//", tag:"mo", output:"/",      tex:"/", ttype:CONST, val:true, notexcopy:true},
+{input:"\\\\", tag:"mo", output:"\\",   tex:"backslash", ttype:CONST},
+{input:"setminus", tag:"mo", output:"\\", tex:null, ttype:CONST},
+{input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST},
+{input:"|><", tag:"mo", output:"\u22C9", tex:"ltimes", ttype:CONST},
+{input:"><|", tag:"mo", output:"\u22CA", tex:"rtimes", ttype:CONST},
+{input:"|><|", tag:"mo", output:"\u22C8", tex:"bowtie", ttype:CONST},
+{input:"-:", tag:"mo", output:"\u00F7", tex:"div", ttype:CONST},
+{input:"divide",   tag:"mo", output:"-:", tex:null, ttype:DEFINITION},
+{input:"@",  tag:"mo", output:"\u2218", tex:"circ", ttype:CONST},
+{input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST},
+{input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST},
+{input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST},
+{input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER},
+{input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER},
+{input:"^^",  tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST},
+{input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER},
+{input:"vv",  tag:"mo", output:"\u2228", tex:"vee", ttype:CONST},
+{input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER},
+{input:"nn",  tag:"mo", output:"\u2229", tex:"cap", ttype:CONST},
+{input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER},
+{input:"uu",  tag:"mo", output:"\u222A", tex:"cup", ttype:CONST},
+{input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER},
+{input:"overset", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
+{input:"underset", tag:"munder", output:"stackrel", tex:null, ttype:BINARY},
+
+//binary relation symbols
+{input:"!=",  tag:"mo", output:"\u2260", tex:"ne", ttype:CONST},
+{input:":=",  tag:"mo", output:":=",     tex:null, ttype:CONST},
+{input:"lt",  tag:"mo", output:"<",      tex:null, ttype:CONST},
+{input:"gt",  tag:"mo", output:">",      tex:null, ttype:CONST},
+{input:"<=",  tag:"mo", output:"\u2264", tex:"le", ttype:CONST},
+{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST},
+{input:"gt=",  tag:"mo", output:"\u2265", tex:"geq", ttype:CONST},
+{input:">=",  tag:"mo", output:"\u2265", tex:"ge", ttype:CONST},
+{input:"-<",  tag:"mo", output:"\u227A", tex:"prec", ttype:CONST},
+{input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST},
+{input:">-",  tag:"mo", output:"\u227B", tex:"succ", ttype:CONST},
+{input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST},
+{input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST},
+{input:"in",  tag:"mo", output:"\u2208", tex:null, ttype:CONST},
+{input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST},
+{input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST},
+{input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST},
+{input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST},
+{input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST},
+{input:"-=",  tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST},
+{input:"~=",  tag:"mo", output:"\u2245", tex:"stackrel{\\sim}{=}", notexcopy: true, ttype:CONST}, //back hack b/c mimetex doesn't support /cong
+{input:"cong",   tag:"mo", output:"~=", tex:null, ttype:DEFINITION},
+{input:"~~",  tag:"mo", output:"\u2248", tex:"approx", ttype:CONST},
+{input:"~",  tag:"mo", output:"\u223C", tex:"sim", ttype:CONST},
+{input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST},
+
+//logical symbols
+{input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE},
+{input:"or",  tag:"mtext", output:"or",  tex:null, ttype:SPACE},
+{input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST},
+{input:"=>",  tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST},
+{input:"implies",   tag:"mo", output:"=>", tex:null, ttype:DEFINITION},
+{input:"if",  tag:"mo", output:"if",     tex:null, ttype:SPACE},
+{input:"<=>", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST},
+{input:"iff",   tag:"mo", output:"<=>", tex:null, ttype:DEFINITION},
+{input:"AA",  tag:"mo", output:"\u2200", tex:"forall", ttype:CONST},
+{input:"EE",  tag:"mo", output:"\u2203", tex:"exists", ttype:CONST},
+{input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST},
+{input:"TT",  tag:"mo", output:"\u22A4", tex:"top", ttype:CONST},
+{input:"|--",  tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST},
+{input:"|==",  tag:"mo", output:"\u22A8", tex:"models", ttype:CONST}, //mimetex doesn't support
+
+//grouping brackets
+{input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET, val:true},
+{input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET, val:true},
+{input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET, val:true},
+{input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET, val:true},
+{input:"left(", tag:"mo", output:"(", tex:"(", notexcopy: true, ttype:LEFTBRACKET, val:true},
+{input:"right)", tag:"mo", output:")", tex:")", notexcopy: true, ttype:RIGHTBRACKET, val:true},
+{input:"left[", tag:"mo", output:"[", tex:"[", notexcopy: true, ttype:LEFTBRACKET, val:true},
+{input:"right]", tag:"mo", output:"]", tex:"]", notexcopy: true, ttype:RIGHTBRACKET, val:true},
+{input:"{", tag:"mo", output:"{", tex:"lbrace", ttype:LEFTBRACKET},
+{input:"}", tag:"mo", output:"}", tex:"rbrace", ttype:RIGHTBRACKET},
+{input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT, val:true},
+{input:"|:", tag:"mo", output:"|", tex:"|", ttype:LEFTBRACKET, notexcopy:true, val:true},
+{input:":|", tag:"mo", output:"|", tex:"|", ttype:RIGHTBRACKET, notexcopy:true, val:true},
+{input:":|:", tag:"mo", output:"|", tex:"|", ttype:CONST, notexcopy:true, val:true},
+//{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT},
+{input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET},
+{input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET},
+{input:"<<", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET},
+{input:">>", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET},
+{input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true},
+{input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true},
+
+//miscellaneous symbols
+{input:"int",  tag:"mo", output:"\u222B", tex:null, ttype:CONST},
+{input:"dx",   tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION},
+{input:"dy",   tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION},
+{input:"dz",   tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION},
+{input:"dt",   tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION},
+{input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST},
+{input:"del",  tag:"mo", output:"\u2202", tex:"partial", ttype:CONST},
+{input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST},
+{input:"+-",   tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST},
+{input:"-+",   tag:"mo", output:"\u2213", tex:"mp", ttype:CONST},
+{input:"O/",   tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST},
+{input:"oo",   tag:"mo", output:"\u221E", tex:"infty", ttype:CONST},
+{input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST},
+{input:"...",  tag:"mo", output:"...",    tex:"ldots", ttype:CONST},
+{input:":.",  tag:"mo", output:"\u2234",  tex:"therefore", ttype:CONST},
+{input:":'",  tag:"mo", output:"\u2235",  tex:"because", ttype:CONST},
+{input:"/_",  tag:"mo", output:"\u2220",  tex:"angle", ttype:CONST},
+{input:"/_\\",  tag:"mo", output:"\u25B3",  tex:"triangle", ttype:CONST},
+{input:"\\ ",  tag:"mo", output:"\u00A0", tex:null, ttype:CONST, val:true},
+{input:"frown",  tag:"mo", output:"\u2322", tex:null, ttype:CONST},
+{input:"%",  tag:"mo", output:"%", tex:"%", ttype:CONST, notexcopy:true},
+{input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST},
+{input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST},
+{input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST},
+{input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST},
+{input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST},
+{input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST},
+{input:"square", tag:"mo", output:"\u25A1", tex:"boxempty", ttype:CONST},
+{input:"|__", tag:"mo", output:"\u230A",  tex:"lfloor", ttype:CONST},
+{input:"__|", tag:"mo", output:"\u230B",  tex:"rfloor", ttype:CONST},
+{input:"|~", tag:"mo", output:"\u2308",  tex:"lceil", ttype:CONST},
+{input:"lceiling",   tag:"mo", output:"|~", tex:null, ttype:DEFINITION},
+{input:"~|", tag:"mo", output:"\u2309",  tex:"rceil", ttype:CONST},
+{input:"rceiling",   tag:"mo", output:"~|", tex:null, ttype:DEFINITION},
+{input:"CC",  tag:"mo", output:"\u2102", tex:"mathbb{C}", ttype:CONST, notexcopy:true},
+{input:"NN",  tag:"mo", output:"\u2115", tex:"mathbb{N}", ttype:CONST, notexcopy:true},
+{input:"QQ",  tag:"mo", output:"\u211A", tex:"mathbb{Q}", ttype:CONST, notexcopy:true},
+{input:"RR",  tag:"mo", output:"\u211D", tex:"mathbb{R}", ttype:CONST, notexcopy:true},
+{input:"ZZ",  tag:"mo", output:"\u2124", tex:"mathbb{Z}", ttype:CONST, notexcopy:true},
+{input:"f",   tag:"mi", output:"f",      tex:null, ttype:UNARY, func:true, val:true},
+{input:"g",   tag:"mi", output:"g",      tex:null, ttype:UNARY, func:true, val:true},
+{input:"''", tag:"mo", output:"''", tex:null, val:true},
+{input:"'''", tag:"mo", output:"'''", tex:null, val:true},
+{input:"''''", tag:"mo", output:"''''", tex:null, val:true},
+
+
+//standard functions
+{input:"lim",  tag:"mo", output:"lim", tex:null, ttype:UNDEROVER},
+{input:"Lim",  tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER},
+{input:"sin",  tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},
+{input:"cos",  tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},
+{input:"tan",  tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},
+{input:"arcsin",  tag:"mo", output:"arcsin", tex:null, ttype:UNARY, func:true},
+{input:"arccos",  tag:"mo", output:"arccos", tex:null, ttype:UNARY, func:true},
+{input:"arctan",  tag:"mo", output:"arctan", tex:null, ttype:UNARY, func:true},
+{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},
+{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},
+{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},
+{input:"cot",  tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},
+{input:"coth",  tag:"mo", output:"coth", tex:null, ttype:UNARY, func:true},
+{input:"sech",  tag:"mo", output:"sech", tex:null, ttype:UNARY, func:true},
+{input:"csch",  tag:"mo", output:"csch", tex:null, ttype:UNARY, func:true},
+{input:"sec",  tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},
+{input:"csc",  tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},
+{input:"log",  tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},
+{input:"ln",   tag:"mo", output:"ln",  tex:null, ttype:UNARY, func:true},
+{input:"abs",   tag:"mo", output:"abs",  tex:null, ttype:UNARY, notexcopy:true, rewriteleftright:["|","|"]},
+{input:"norm",   tag:"mo", output:"norm",  tex:null, ttype:UNARY, notexcopy:true, rewriteleftright:["\\|","\\|"]},
+{input:"floor",   tag:"mo", output:"floor",  tex:null, ttype:UNARY, notexcopy:true, rewriteleftright:["\\lfloor","\\rfloor"]},
+{input:"ceil",   tag:"mo", output:"ceil",  tex:null, ttype:UNARY, notexcopy:true, rewriteleftright:["\\lceil","\\rceil"]},
+{input:"Sin",  tag:"mo", output:"Sin", tex:null, ttype:UNARY, func:true},
+{input:"Cos",  tag:"mo", output:"Cos", tex:null, ttype:UNARY, func:true},
+{input:"Tan",  tag:"mo", output:"Tan", tex:null, ttype:UNARY, func:true},
+{input:"Arcsin",  tag:"mo", output:"Arcsin", tex:null, ttype:UNARY, func:true},
+{input:"Arccos",  tag:"mo", output:"Arccos", tex:null, ttype:UNARY, func:true},
+{input:"Arctan",  tag:"mo", output:"Arctan", tex:null, ttype:UNARY, func:true},
+{input:"Sinh", tag:"mo", output:"Sinh", tex:null, ttype:UNARY, func:true},
+{input:"Cosh", tag:"mo", output:"Cosh", tex:null, ttype:UNARY, func:true},
+{input:"Tanh", tag:"mo", output:"Tanh", tex:null, ttype:UNARY, func:true},
+{input:"Cot",  tag:"mo", output:"Cot", tex:null, ttype:UNARY, func:true},
+{input:"Sec",  tag:"mo", output:"Sec", tex:null, ttype:UNARY, func:true},
+{input:"Csc",  tag:"mo", output:"Csc", tex:null, ttype:UNARY, func:true},
+{input:"Log",  tag:"mo", output:"Log", tex:null, ttype:UNARY, func:true},
+{input:"Ln",   tag:"mo", output:"Ln",  tex:null, ttype:UNARY, func:true},
+{input:"Abs",   tag:"mo", output:"abs",  tex:null, ttype:UNARY, notexcopy:true, rewriteleftright:["|","|"]},
+
+{input:"det",  tag:"mo", output:"det", tex:null, ttype:UNARY, func:true},
+{input:"exp",  tag:"mo", output:"exp", tex:null, ttype:UNARY, func:true},
+{input:"dim",  tag:"mo", output:"dim", tex:null, ttype:CONST},
+{input:"mod",  tag:"mo", output:"mod", tex:"text{mod}", ttype:CONST, notexcopy:true},
+{input:"gcd",  tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true},
+{input:"lcm",  tag:"mo", output:"lcm", tex:"text{lcm}", ttype:UNARY, func:true, notexcopy:true},
+{input:"lub",  tag:"mo", output:"lub", tex:null, ttype:CONST},
+{input:"glb",  tag:"mo", output:"glb", tex:null, ttype:CONST},
+{input:"min",  tag:"mo", output:"min", tex:null, ttype:UNDEROVER},
+{input:"max",  tag:"mo", output:"max", tex:null, ttype:UNDEROVER},
+
+//arrows
+{input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST},
+{input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST},
+{input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST},
+{input:"->",   tag:"mo", output:"\u2192", tex:"to", ttype:CONST},
+{input:">->",   tag:"mo", output:"\u21A3", tex:"rightarrowtail", ttype:CONST},
+{input:"->>",   tag:"mo", output:"\u21A0", tex:"twoheadrightarrow", ttype:CONST},
+{input:">->>",   tag:"mo", output:"\u2916", tex:"twoheadrightarrowtail", ttype:CONST},
+{input:"|->",  tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST},
+{input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST},
+{input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST},
+{input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST},
+{input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST},
+{input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST},
+
+//commands with argument
+AMsqrt, AMroot, AMfrac, AMdiv, AMover, AMsub, AMsup,
+{input:"cancel", tag:"menclose", output:"cancel", tex:null, ttype:UNARY},
+{input:"Sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
+{input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true},
+{input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true},
+{input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true},
+{input:"tilde", tag:"mover", output:"~", tex:null, ttype:UNARY, acc:true},
+{input:"dot", tag:"mover", output:".",      tex:null, ttype:UNARY, acc:true},
+{input:"ddot", tag:"mover", output:"..",    tex:null, ttype:UNARY, acc:true},
+{input:"overarc", tag:"mover", output:"\u23DC", tex:"stackrel{\\frown}", notexcopy: true, ttype:UNARY, acc:true},
+{input:"overparen", tag:"mover", output:"\u23DC", tex:"stackrel{\\frown}", notexcopy: true, ttype:UNARY, acc:true},
+{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true},
+{input:"ubrace", tag:"munder", output:"\u23DF", tex:"underbrace", ttype:UNARY, acc:true},
+{input:"obrace", tag:"mover", output:"\u23DE", tex:"overbrace", ttype:UNARY, acc:true},
+AMtext, AMmbox, AMquote,
+//{input:"var", tag:"mstyle", atname:"fontstyle", atval:"italic", output:"var", tex:null, ttype:UNARY},
+{input:"color", tag:"mstyle", ttype:BINARY},
+{input:"bb", tag:"mstyle", atname:"mathvariant", atval:"bold", output:"bb", tex:"mathbf", ttype:UNARY, notexcopy:true},
+{input:"mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", output:"mathbf", tex:null, ttype:UNARY},
+{input:"sf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", output:"sf", tex:"mathsf", ttype:UNARY, notexcopy:true},
+{input:"mathsf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY},
+{input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:"mathbb", ttype:UNARY, notexcopy:true},
+{input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY},
+{input:"cc",  tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:"mathcal", ttype:UNARY, notexcopy:true},
+{input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY},
+{input:"tt",  tag:"mstyle", atname:"mathvariant", atval:"monospace", output:"tt", tex:"mathtt", ttype:UNARY, notexcopy:true},
+{input:"mathtt", tag:"mstyle", atname:"mathvariant", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY},
+{input:"fr",  tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:"mathfrak", ttype:UNARY, notexcopy:true},
+{input:"mathfrak",  tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY}
+];
\ No newline at end of file
