-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathalgebra.html
94 lines (86 loc) · 2.96 KB
/
algebra.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2022-05-20 Fri 12:19 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>‎</title>
<meta name="generator" content="Org Mode" />
<link rel="stylesheet" href="./tufte.css" type="text/css">
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
displayAlign: "left",
displayIndent: "5em",
"HTML-CSS": { scale: 100,
linebreaks: { automatic: "false" },
webFont: "Neo-Euler"
},
SVG: {scale: 100,
linebreaks: { automatic: "false" },
font: "Neo-Euler"},
NativeMML: {scale: 100},
TeX: { equationNumbers: {autoNumber: "AMS"},
MultLineWidth: "85%",
TagSide: "left",
TagIndent: ".8em"
}
});
</script>
<script src="https://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS_HTML"></script>
</head>
<body>
<div id="content" class="content">
<div id="outline-container-orgcf292db" class="outline-2">
<h2 id="orgcf292db"><span class="section-number-2">1.</span> Some preliminary thoughts on algebra</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-orgfe54dff" class="outline-3">
<h3 id="orgfe54dff"><span class="section-number-3">1.1.</span> Rabbit holes</h3>
<div class="outline-text-3" id="text-1-1">
<p>
<font color = "#375e79">
⌜🐇 <b>Rabbit holes</b> to get started with CIMMIC are:
</p>
<ol class="org-ol">
<li>We need to learn mathematical logic, since logic is simply baked
into every programming language. Try <a href="https://math.libretexts.org/Courses/Monroe_Community_College/MATH_220_Discrete_Math/2%3A_Logic">this LibreTexts series</a> on
logic. Pay particular attention to the notation used on logic
operators and the terminology as well. This stuff comes up all the
time in programming. (<i>R<sub>O</sub>-hole</i>)</li>
</ol>
<p>
</font>🐇⌟
</p>
</div>
</div>
<div id="outline-container-orgc75ab35" class="outline-3">
<h3 id="orgc75ab35"><span class="section-number-3">1.2.</span> Al-Khwärizmi</h3>
<div class="outline-text-3" id="text-1-2">
<p>
Al-Khwärizmi is credited with inventing algebra. The word algebra
comes from <i>al-jabr</i>, which is Al-Khwärizmi’s word for subtracting
something from both sides of an equation. His first equation was
</p>
\begin{align*}
x^2 = 40x - 4 x^2
\end{align*}
<p>
then using <i>al-jabr</i>
</p>
\begin{align*}
5x^2 &= 40x \\
x^2 &= 8x \\
x &= 8
\end{align*}
</div>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="date">Created: 2022-05-20 Fri 12:19</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>
</html>