diff --git a/bs/modules/ROOT/pages/Faktori_Naredba.adoc b/bs/modules/ROOT/pages/Faktori_Naredba.adoc index c4866f76d..411fe05cd 100644 --- a/bs/modules/ROOT/pages/Faktori_Naredba.adoc +++ b/bs/modules/ROOT/pages/Faktori_Naredba.adoc @@ -59,10 +59,10 @@ Faktori[ ]:: [EXAMPLE] ==== -* `++Faktori[1024]++`daje listu _\{\{2, 10}}_, prikazanu kao stem:[\begin\{pmatrix} 2&10 \end\{pmatrix}], jer je _1024 = +* `++Faktori[1024]++`daje listu _\{\{2, 10}}_, prikazanu kao stem:[\begin{pmatrix} 2&10 \end{pmatrix}], jer je _1024 = 2^10^_. -** `++Faktori[42]++` daje listu _\{\{2, 1}, \{3, 1}, \{7, 1}}_, prikazanu kao stem:[\begin\{pmatrix} 2&1\\ 3&1\\ 7&1 -\end\{pmatrix}], jer je _42 = 2^1^ 3^1^ 7^1^_. +** `++Faktori[42]++` daje listu _\{\{2, 1}, \{3, 1}, \{7, 1}}_, prikazanu kao stem:[\begin{pmatrix} 2&1\\ 3&1\\ 7&1 +\end{pmatrix}], jer je _42 = 2^1^ 3^1^ 7^1^_. ==== @@ -77,6 +77,6 @@ Vidi naredbe xref:/ProstiFaktori_Naredba.adoc[ProstiFaktori] i xref:/Faktorizira ==== `++Faktori[x^8 - 1]++` daje listu _\{\{x^4 + 1, 1}, \{x^2 + 1, 1}, \{x + 1, 1}, \{x - 1, 1}}_, prikazanu kao -stem:[\begin\{pmatrix} x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end\{pmatrix}]. +stem:[\begin{pmatrix} x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end{pmatrix}]. ==== diff --git "a/bs/modules/ROOT/pages/Jedini\304\215niNormalniVektor_Naredba.adoc" "b/bs/modules/ROOT/pages/Jedini\304\215niNormalniVektor_Naredba.adoc" index ce7cd82c0..bc4f8e739 100644 --- "a/bs/modules/ROOT/pages/Jedini\304\215niNormalniVektor_Naredba.adoc" +++ "b/bs/modules/ROOT/pages/Jedini\304\215niNormalniVektor_Naredba.adoc" @@ -12,8 +12,8 @@ JediničniNormalniVektor[ ]:: [EXAMPLE] ==== -Neka je _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]. Naredba `++JediničniNormalniVektor[v]++` daje_ -stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]__.__ +Neka je _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]. Naredba `++JediničniNormalniVektor[v]++` daje_ +stem:[\begin{pmatrix}-0.8\\0.6\end{pmatrix}]__.__ ==== @@ -22,7 +22,7 @@ stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]__.__ Naredba -`++JediničniNormalniVektor[3x + 4y = 5]++` daje _stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]_. +`++JediničniNormalniVektor[3x + 4y = 5]++` daje _stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]_. ==== @@ -38,7 +38,7 @@ JediničniNormalniVektor[ ]:: Naredba -`++JediničniNormalniVektor[{a, b}]++` daje _\{stem:[\frac\{-b}\{\sqrt\{a^\{2} + b^\{2}}}], -stem:[\frac\{a}\{\sqrt\{a^\{2} + b^\{2}}}]}_. +`++JediničniNormalniVektor[{a, b}]++` daje _\{stem:[\frac{-b}{\sqrt\{a^\{2} + b^\{2}}}], +stem:[\frac{a}{\sqrt\{a^\{2} + b^\{2}}}]}_. ==== diff --git "a/bs/modules/ROOT/pages/Jedini\304\215niVektor_Naredba.adoc" "b/bs/modules/ROOT/pages/Jedini\304\215niVektor_Naredba.adoc" index 857eb0315..016cc3aad 100644 --- "a/bs/modules/ROOT/pages/Jedini\304\215niVektor_Naredba.adoc" +++ "b/bs/modules/ROOT/pages/Jedini\304\215niVektor_Naredba.adoc" @@ -12,8 +12,8 @@ Kreira vektor smjera zadane duži dužine 1. [EXAMPLE] ==== -Neka je _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]_. Naredba `++JediničniVektor[v]++` daje -_stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]_. +Neka je _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]_. Naredba `++JediničniVektor[v]++` daje +_stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]_. ==== @@ -26,14 +26,14 @@ Kreira vektor smjera zadane prave dužine 1. Neka je `++s = Duž[(1,1), (4,5)]++`. -`++JediničniVektor[s]++` daje _stem:[\begin\{pmatrix} 0.6\\0.8\end\{pmatrix}]_. +`++JediničniVektor[s]++` daje _stem:[\begin{pmatrix} 0.6\\0.8\end{pmatrix}]_. ==== [EXAMPLE] ==== -`++JediničniVektor[3x + 4y = 5]++` daje _stem:[\begin\{pmatrix}0.8\\-0.6\end\{pmatrix}]_. +`++JediničniVektor[3x + 4y = 5]++` daje _stem:[\begin{pmatrix}0.8\\-0.6\end{pmatrix}]_. ==== @@ -45,14 +45,14 @@ JediničniVektor[ ]:: [EXAMPLE] ==== -`++JediničniVektor[{2, 4, 4}]++` daje _\{stem:[\frac\{1}\{3}], stem:[\frac\{2}\{3}], stem:[\frac\{2}\{3}]}_. +`++JediničniVektor[{2, 4, 4}]++` daje _\{stem:[\frac{1}{3}], stem:[\frac{2}{3}], stem:[\frac{2}{3}]}_. ==== [EXAMPLE] ==== -`++JediničniVektor[{a, b}]++` daje _(stem:[\frac\{a}\{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac\{b}\{\sqrt\{a^\{2} + +`++JediničniVektor[{a, b}]++` daje _(stem:[\frac{a}{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac{b}{\sqrt\{a^\{2} + b^\{2}}}])_. ==== diff --git a/bs/modules/ROOT/pages/LaTeX.adoc b/bs/modules/ROOT/pages/LaTeX.adoc index c7059278f..0cd887f7d 100644 --- a/bs/modules/ROOT/pages/LaTeX.adoc +++ b/bs/modules/ROOT/pages/LaTeX.adoc @@ -42,7 +42,7 @@ Molimo, za detaljnije informacije pogledajte bilo koju LaTeX dokumentaciju. |=== |LaTeX unos |Rezultat |a \cdot b |stem:[a \cdot b] -|\frac\{a}\{b} |stem:[\frac\{a}\{b}] +|\frac{a}{b} |stem:[\frac{a}{b}] |\sqrt\{x} |stem:[\sqrt\{x}] |\sqrt[n]\{x} |stem:[\sqrt[n]\{x}] |\vec\{v} |stem:[\vec\{v}] diff --git a/bs/modules/ROOT/pages/VektorSmjera_Naredba.adoc b/bs/modules/ROOT/pages/VektorSmjera_Naredba.adoc index cb62bcf58..01281c3b1 100644 --- a/bs/modules/ROOT/pages/VektorSmjera_Naredba.adoc +++ b/bs/modules/ROOT/pages/VektorSmjera_Naredba.adoc @@ -8,7 +8,7 @@ VektorSmjera[ ]:: [EXAMPLE] ==== -`++VektorSmjera[-2x + 3y + 1 = 0]++` kreira vektor stem:[u= \begin\{pmatrix} 3 \\ 2 \end\{pmatrix} ] +`++VektorSmjera[-2x + 3y + 1 = 0]++` kreira vektor stem:[u= \begin{pmatrix} 3 \\ 2 \end{pmatrix} ] ==== diff --git a/bs/modules/ROOT/pages/ZipfDist_Naredba.adoc b/bs/modules/ROOT/pages/ZipfDist_Naredba.adoc index e9bd9ec85..9a7f85d9e 100644 --- a/bs/modules/ROOT/pages/ZipfDist_Naredba.adoc +++ b/bs/modules/ROOT/pages/ZipfDist_Naredba.adoc @@ -42,6 +42,6 @@ kao rezultat daje P( X ≤ _v_)ako je _Kumulativna Boolean-logička vrijednost_ [EXAMPLE] ==== -`++ZipfDist[ 10, 1 , 5, false]++` daje _stem:[\frac\{504}\{7381}]_. +`++ZipfDist[ 10, 1 , 5, false]++` daje _stem:[\frac{504}{7381}]_. ==== diff --git "a/de/modules/ROOT/pages/commands/L\303\266seDgl.adoc" "b/de/modules/ROOT/pages/commands/L\303\266seDgl.adoc" index 7d57870f9..19b60ee04 100644 --- "a/de/modules/ROOT/pages/commands/L\303\266seDgl.adoc" +++ "b/de/modules/ROOT/pages/commands/L\303\266seDgl.adoc" @@ -3,19 +3,19 @@ ifdef::env-github[:imagesdir: /de/modules/ROOT/assets/images] LöseDgl( ):: - Versucht eine exakte Lösung der gewöhnlichen Differentialgleichung erster Ordnung stem:[\frac{dy}\{dx}(x)=f'(x, + Versucht eine exakte Lösung der gewöhnlichen Differentialgleichung erster Ordnung stem:[\frac{dy}{dx}(x)=f'(x, y(x))] zu finden. LöseDgl( , ):: - Versucht eine exakte Lösung der gewöhnlichen Differentialgleichung erster Ordnung stem:[\frac{dy}\{dx}(x)=f'(x, + Versucht eine exakte Lösung der gewöhnlichen Differentialgleichung erster Ordnung stem:[\frac{dy}{dx}(x)=f'(x, y(x))] zu finden, wobei die Lösung durch den gegebenen Punkt verläuft. LöseDgl( , , , , ):: - Versucht eine exakte Lösung der gewöhnlichen Differentialgleichung erster Ordnung stem:[\frac{dy}\{dx}=f'(x,y) ] + Versucht eine exakte Lösung der gewöhnlichen Differentialgleichung erster Ordnung stem:[\frac{dy}{dx}=f'(x,y) ] numerisch, mit gegebenem Startpunkt, Ende und Schrittweite für _x_ zu finden. [EXAMPLE] ==== -`++LöseDgl[-x*y, x(A), y(A), 5, 0.1]++` löst die Gleichung stem:[\frac{dy}\{dx}=-xy] beginnend mit dem zuvor +`++LöseDgl[-x*y, x(A), y(A), 5, 0.1]++` löst die Gleichung stem:[\frac{dy}{dx}=-xy] beginnend mit dem zuvor definierten Startpunkt _A_. ==== @@ -30,7 +30,7 @@ definierten Startpunkt _A_. [EXAMPLE] ==== -`++LöseDgl[2x / y]++` liefert stem:[\sqrt{2} \sqrt{-c_\{1}+x^\{2}}], wobei stem:[c_\{1}] eine Konstante ist. +`++LöseDgl[2x / y]++` liefert stem:[\sqrt{2} \sqrt{-c_{1}+x^{2}}], wobei stem:[c_{1}] eine Konstante ist. ==== @@ -49,13 +49,13 @@ auszugeben. [NOTE] ==== -stem:[c_\{1}] wird als Hilfsobjekt mit einem entsprechenden Schieberegler erstellt. +stem:[c_{1}] wird als Hilfsobjekt mit einem entsprechenden Schieberegler erstellt. ==== LöseDgl( , , , , , ):: Versucht eine exakte Lösung der gewöhnliche Differentialgleichung erster Ordnung - stem:[\frac{dy}\{dx}=\frac{f(x,y)}\{g(x,y)} ] mit gegebenem Startpunkt, Maximalwert eines internen Parameters _t_ + stem:[\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)} ] mit gegebenem Startpunkt, Maximalwert eines internen Parameters _t_ und der Schrittweite für _t_ zu finden. Diese Version des Befehls könnte auch dann funktionieren, falls der erste Befehl nicht funktioniert, wenn z. B. die Lösungskurve vertikale Punkte besitzt. LöseDgl( , , , , , , , ):: @@ -73,7 +73,7 @@ definierten Startpunkt _A_. [EXAMPLE] ==== -`++LöseDgl[-x, y, x(A), y(A), 5, 0.1]++` löst stem:[\frac{dy}\{dx}=- \frac{x}\{y} ] beginnend mit dem zuvor +`++LöseDgl[-x, y, x(A), y(A), 5, 0.1]++` löst stem:[\frac{dy}{dx}=- \frac{x}{y} ] beginnend mit dem zuvor definierten Startpunkt _A_. ==== @@ -138,8 +138,8 @@ LöseDgl( , , , , ]:: Ortslinie( , ):: Erzeugt eine Ortslinie, welche dem Richtungsfeld im angegebenen Punkt entspricht. Ortslinie( , ):: - Erzeugt eine Ortslinie, welche der Lösung der Differentialgleichung stem:[\frac{dy}\{dx}=f(x,y)] im angegebenen Punkt + Erzeugt eine Ortslinie, welche der Lösung der Differentialgleichung stem:[\frac{dy}{dx}=f(x,y)] im angegebenen Punkt entspricht. Die Lösung wird numerisch berechnet. [NOTE] diff --git a/de/modules/ROOT/pages/commands/Richtungsfeld.adoc b/de/modules/ROOT/pages/commands/Richtungsfeld.adoc index 4c43b0903..09df2fe39 100644 --- a/de/modules/ROOT/pages/commands/Richtungsfeld.adoc +++ b/de/modules/ROOT/pages/commands/Richtungsfeld.adoc @@ -4,7 +4,7 @@ ifdef::env-github[:imagesdir: /de/modules/ROOT/assets/images] Richtungsfeld( ):: Zeichnet das https://de.wikipedia.org/wiki/Richtungsfeld[Richtungsfeld] der Differentialgleichung - stem:[\frac{dy}\{dx}=f(x,y)] + stem:[\frac{dy}{dx}=f(x,y)] [EXAMPLE] ==== @@ -14,17 +14,17 @@ Richtungsfeld( ):: ==== Richtungsfeld( , ):: - Zeichnet das Richtungsfeld der Differentialgleichung stem:[\frac{dy}\{dx}=f(x,y)] in ein n-mal-n-Gitter, falls die + Zeichnet das Richtungsfeld der Differentialgleichung stem:[\frac{dy}{dx}=f(x,y)] in ein n-mal-n-Gitter, falls die image:16px-Menu_view_graphics.svg.png[Menu view graphics.svg,width=16,height=16] xref:/Grafik_Ansicht.adoc[Grafik-Ansicht] quadratisch ist, ansonsten in ein kleineres Gitter. Standard ist ein 40x40-Gitter. Richtungsfeld( , , ):: - Zeichnet das Richtungsfeld der Differentialgleichung stem:[\frac{dy}\{dx}=f(x,y)]. Der Längenfaktor 0, , , , , , ):: - Zeichnet das Richtungsfeld der Differentialgleichung stem:[\frac{dy}\{dx}=f(x,y)] innerhalb des angegebenen Rechtecks + Zeichnet das Richtungsfeld der Differentialgleichung stem:[\frac{dy}{dx}=f(x,y)] innerhalb des angegebenen Rechtecks (anstatt die image:16px-Menu_view_graphics.svg.png[Menu view graphics.svg,width=16,height=16] xref:/Grafik_Ansicht.adoc[Grafik-Ansicht] auszufüllen). diff --git a/es/modules/ROOT/pages/commands/CampoDirecciones.adoc b/es/modules/ROOT/pages/commands/CampoDirecciones.adoc index 2b354718b..c2af53544 100644 --- a/es/modules/ROOT/pages/commands/CampoDirecciones.adoc +++ b/es/modules/ROOT/pages/commands/CampoDirecciones.adoc @@ -13,12 +13,12 @@ image:24px-UnderConstruction.png[UnderConstruction.png,width=24,height=24] CampoDirecciones( ):: Grafica el https://es.wikipedia.org/Campo_de_direcciones[*_campo de direcciones_*] para la ecuación diferencial - stem:[\frac{dy}\{dx}=f(x,y)] + stem:[\frac{dy}{dx}=f(x,y)] CampoDirecciones( , ):: Grafica, sobre una cuadrícula de _n_ *x* _n_ si la xref:/Vista_Gráfica.adoc[Vista Gráfica] es cuadrada o de menor dimensión cuando no lo sea, el campo de direcciones para la ecuación diferencial - stem:[\frac{dy}\{dx}=f(x,y)] + stem:[\frac{dy}{dx}=f(x,y)] [NOTE] ==== @@ -29,14 +29,14 @@ El valor por omisión de *_n_* es 40 CampoDirecciones( , , ):: Grafica el campo de direcciones para la ecuación diferencial - stem:[\frac{dy}\{dx}=f(x,y)] + stem:[\frac{dy}{dx}=f(x,y)] El factor de longitud 0 < _a_ ≤1 determina la longitud de los segmentos. CampoDirecciones( , , , , , , ):: Grafica, dentro del rectángulo especificado (en lugar de distribuirse en la xref:/Vista_Gráfica.adoc[Vista Gráfica] completa), el campo de direcciones para la ecuación diferencial - *stem:[\frac{dy}\{dx}=f(x,y)]* + *stem:[\frac{dy}{dx}=f(x,y)]* [NOTE] ==== diff --git "a/es/modules/ROOT/pages/commands/DerivadaImpl\303\255cita.adoc" "b/es/modules/ROOT/pages/commands/DerivadaImpl\303\255cita.adoc" index 2f1c8d8ed..316d0408d 100644 --- "a/es/modules/ROOT/pages/commands/DerivadaImpl\303\255cita.adoc" +++ "b/es/modules/ROOT/pages/commands/DerivadaImpl\303\255cita.adoc" @@ -58,7 +58,7 @@ stem:[\frac{dv}\{du}] = stem:[-\frac{1}\{2 u}] DerivadaImplícita[ ] DerivadaImplícita[ , , ]:: - Da por resultado la derivada implícita stem:[\frac{dy}\{dx}] de la expresión dada. + Da por resultado la derivada implícita stem:[\frac{dy}{dx}] de la expresión dada. [EXAMPLE] ==== diff --git "a/es/modules/ROOT/pages/commands/LugarGeom\303\251trico.adoc" "b/es/modules/ROOT/pages/commands/LugarGeom\303\251trico.adoc" index 315f4b7ce..959f91bea 100644 --- "a/es/modules/ROOT/pages/commands/LugarGeom\303\251trico.adoc" +++ "b/es/modules/ROOT/pages/commands/LugarGeom\303\251trico.adoc" @@ -29,7 +29,7 @@ LugarGeométrico( , ):: LugarGeométrico( , ):: Establece el _lugar geométrico_ acorde a la solución - calculada numéricamente - de la ecuación diferencial - stem:[\frac{dy}\{dx}=f(x,y)]. + stem:[\frac{dy}{dx}=f(x,y)]. Todo _lugar geométrico_ aparece como xref:/Objetos_libres_dependientes_y_auxiliares.adoc[objeto auxiliar]. Además del crearse con el comando Lugar geométrico, pueden obtenerse como resultado de otros diff --git a/es/modules/ROOT/pages/commands/ResuelveEDO.adoc b/es/modules/ROOT/pages/commands/ResuelveEDO.adoc index 66d2a6682..af80d511a 100644 --- a/es/modules/ROOT/pages/commands/ResuelveEDO.adoc +++ b/es/modules/ROOT/pages/commands/ResuelveEDO.adoc @@ -18,14 +18,14 @@ ResuelveEDO( , , , , ):: ecuación a partir del punto con sendas coordenadas hasta la abscisa final indicada, con el _paso_ dado.Admite toda **_E_**~cuación~ **_D_**~iferencial~ **_O_**~rdinaria~ https://es.wikipedia.org/Ecuaci%C3%B3n_diferencial_ordinaria_de_primer_orden[(*EDO*] en español)- como - *stem:[\begin\{equation}\frac{dy}\{dx}=f(x,y) \end\{equation}]* + *stem:[\begin\{equation}\frac{dy}{dx}=f(x,y) \end\{equation}]* [EXAMPLE] ==== *Ejemplos:* Siendo _0.1_ el _paso_, *_A_* el punto inicial, y *B* el que establece la abscisa final...*`++ResuelveEDO[-x y, x(A), y(A), x(B), 0.1]++`* xref:/Vista_Gráfica.adoc[grafica] la resolución de: -*stem:[\begin\{equation} \frac{dy}\{dx}=-xy \end\{equation}]* siendo su registro +*stem:[\begin\{equation} \frac{dy}{dx}=-xy \end\{equation}]* siendo su registro xref:/Vista_Algebraica.adoc[algebraico]: _IntegralNumérica1 = ResuelveEDO[-x y, x(A), y(A), x(B), 0.1]_ ''''' @@ -65,7 +65,7 @@ _xref:/commands/Primero.adoc['Primero****][lug1, Longitud[lug1]]_ ResuelveEDO( f(x,y)>, , , , , ):: Dados el valor para el punto inicial, el máximo valor del parámetro interno _t_ y el del paso para _t_, resuelve numéricamente y expone como xref:/Lugar_Geométrico.adoc[lugar geométrico]. la EDO de primer orden - stem:[\begin\{equation} \frac{dy}\{dx}=\frac{f(x,y)}\{g(x,y)} \end\{equation}] + stem:[\begin\{equation} \frac{dy}{dx}=\frac{f(x,y)}\{g(x,y)} \end\{equation}] [cols=",",] |=== @@ -77,7 +77,7 @@ cuando la primera falla. Como cuando la curva de solución tiene puntos vertical ==== *`++ResuelveEDO[-x, y, x(A), y(A), 5, 0.1]++`*, siendo *_A_* el punto inicial, _0.1_ el _paso_ hasta el valor de abscisa -_5_, resuelve la EDO: _stem:[\begin\{equation}\frac{dy}\{dx}=- \frac{x}\{y} \end\{equation}]_ +_5_, resuelve la EDO: _stem:[\begin\{equation}\frac{dy}{dx}=- \frac{x}\{y} \end\{equation}]_ ==== @@ -128,11 +128,11 @@ https://es.wikipedia.org/M%C3%A9todo_de_Runge-Kutta[Runge-Kutta]. *→* *Resolución formal* ResuelveEDO():: - Procura desarrollar la solución precisa de la EDO de primer orden: *stem:[\begin\{equation} \frac{dy}\{dx}=f(x,y(x)) + Procura desarrollar la solución precisa de la EDO de primer orden: *stem:[\begin\{equation} \frac{dy}{dx}=f(x,y(x)) \end\{equation}]* ResuelveEDO( , ):: Procura la función que pasando por el punto indicado resuelve formalmente la EDO de primer orden: - stem:[\frac{dy}\{dx}(x)=f(x, y(x))]. + stem:[\frac{dy}{dx}(x)=f(x, y(x))]. ''''' diff --git a/hr/modules/ROOT/pages/Matrice.adoc b/hr/modules/ROOT/pages/Matrice.adoc index 120357be2..c6d154de2 100644 --- a/hr/modules/ROOT/pages/Matrice.adoc +++ b/hr/modules/ROOT/pages/Matrice.adoc @@ -8,7 +8,7 @@ GeoGebra podržava matrice koje su reprezentirane kao liste lista koje sadrže r ==== U GeoGebri,, \{\{1, 2, 3}, \{4, 5, 6}, \{7, 8, 9}} predstavlja 3x3 matricu -_$\begin\{pmatrix}1&2&3\\4&5&6\\7&8&9\end\{pmatrix}$_. +_$\begin{pmatrix}1&2&3\\4&5&6\\7&8&9\end{pmatrix}$_. ==== diff --git a/hr/modules/ROOT/pages/Oznake_i_natpisi.adoc b/hr/modules/ROOT/pages/Oznake_i_natpisi.adoc index a9be5a7a4..c7828081d 100644 --- a/hr/modules/ROOT/pages/Oznake_i_natpisi.adoc +++ b/hr/modules/ROOT/pages/Oznake_i_natpisi.adoc @@ -69,7 +69,7 @@ kraju polja za natpis. ==== ako želite prikazati lijepo formatiran matematički tekst, koristeći LaTeX, u naslovima, npr. koristiti razlomak u -natpisu, u tekstualnom polju natpisa upišite "$\frac\{a}\{b}$" +natpisu, u tekstualnom polju natpisa upišite "$\frac{a}{b}$" ==== diff --git a/hr/modules/ROOT/pages/commands/BinomnaRazdioba.adoc b/hr/modules/ROOT/pages/commands/BinomnaRazdioba.adoc index 9df4bf3d3..39a9d9bfa 100644 --- a/hr/modules/ROOT/pages/commands/BinomnaRazdioba.adoc +++ b/hr/modules/ROOT/pages/commands/BinomnaRazdioba.adoc @@ -33,22 +33,22 @@ BinomnaRazdioba[ , , , ]:: [EXAMPLE] ==== -`++CRješenja[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` daje stem:[\begin\{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - -ί\end\{pmatrix}]. +`++CRješenja[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` daje stem:[\begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - +ί\end{pmatrix}]. ==== diff --git a/hr/modules/ROOT/pages/commands/CauchyjevaRazdioba.adoc b/hr/modules/ROOT/pages/commands/CauchyjevaRazdioba.adoc index f747c040a..e99608273 100644 --- a/hr/modules/ROOT/pages/commands/CauchyjevaRazdioba.adoc +++ b/hr/modules/ROOT/pages/commands/CauchyjevaRazdioba.adoc @@ -21,6 +21,6 @@ CauchyjevaRazdioba[ , , ]:: [EXAMPLE] ==== -`++CauchyjevaRazdioba[1, 2, 3]++` daje _stem:[\frac\{3}\{4}]_. +`++CauchyjevaRazdioba[1, 2, 3]++` daje _stem:[\frac{3}{4}]_. ==== diff --git a/hr/modules/ROOT/pages/commands/EksponencijalniZapis.adoc b/hr/modules/ROOT/pages/commands/EksponencijalniZapis.adoc index 270126785..faccec8e0 100644 --- a/hr/modules/ROOT/pages/commands/EksponencijalniZapis.adoc +++ b/hr/modules/ROOT/pages/commands/EksponencijalniZapis.adoc @@ -10,7 +10,7 @@ EksponencijalniZapis[ ]:: [EXAMPLE] ==== -`++EksponencijalniZapis[1 + ί]++` daje stem:[\sqrt\{2}e^\{\frac\{i\pi}\{4}}]. +`++EksponencijalniZapis[1 + ί]++` daje stem:[\sqrt\{2}e^\{\frac{i\pi}{4}}]. ==== diff --git a/hr/modules/ROOT/pages/commands/Element.adoc b/hr/modules/ROOT/pages/commands/Element.adoc index 3fd87caba..8e8d9ec3e 100644 --- a/hr/modules/ROOT/pages/commands/Element.adoc +++ b/hr/modules/ROOT/pages/commands/Element.adoc @@ -22,7 +22,7 @@ Neka je _L=\{\{\{1, 2}, \{3, 4}}, \{\{5, 6}, \{7, 8}}}_. Tada naredba `++Element ==== `++Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3]++` daje _-2_, treći element drugoga retka matrice -stem:[\begin\{pmatrix}1&3&2\\0&3&-2\end\{pmatrix}]. +stem:[\begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}]. ==== @@ -52,7 +52,7 @@ Element[ , , ]:: ==== `++Element[{{a, b, c}, {d, e, f}}, 2, 3]++` daje _f_, treći element drugoga retka -matricestem:[\begin\{pmatrix}a&b&c\\d&e&f\end\{pmatrix}]. +matricestem:[\begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}]. ==== diff --git a/hr/modules/ROOT/pages/commands/Faktori.adoc b/hr/modules/ROOT/pages/commands/Faktori.adoc index aa870314f..209a4a8bc 100644 --- a/hr/modules/ROOT/pages/commands/Faktori.adoc +++ b/hr/modules/ROOT/pages/commands/Faktori.adoc @@ -51,10 +51,10 @@ Faktori[ ]:: [EXAMPLE] ==== -* `++Faktori[1024]++` daje _\{\{2, 10}}_, prikazano u obliku matrice stem:[\begin\{pmatrix} 2&10 \end\{pmatrix}], jer je +* `++Faktori[1024]++` daje _\{\{2, 10}}_, prikazano u obliku matrice stem:[\begin{pmatrix} 2&10 \end{pmatrix}], jer je _1024 = 2^10^_. -** `++Faktori[42]++` daje _\{\{2, 1}, \{3, 1}, \{7, 1}}_, prikazano u obliku matrice stem:[\begin\{pmatrix} 2&1\\ 3&1\\ -7&1 \end\{pmatrix}], jer je _42 = 2^1^ 3^1^ 7^1^_. +** `++Faktori[42]++` daje _\{\{2, 1}, \{3, 1}, \{7, 1}}_, prikazano u obliku matrice stem:[\begin{pmatrix} 2&1\\ 3&1\\ +7&1 \end{pmatrix}], jer je _42 = 2^1^ 3^1^ 7^1^_. ==== @@ -77,6 +77,6 @@ Svi faktori nisu ireducibilni na skupu realnih brojeva. ==== `++Faktor[x^8 - 1]++` daje _\{\{x^4 + 1, 1}, \{x^2 + 1, 1}, \{x + 1, 1}, \{x - 1, 1}}_, prikazano u obliku matrice -stem:[\begin\{pmatrix} x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end\{pmatrix}]. +stem:[\begin{pmatrix} x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end{pmatrix}]. ==== diff --git a/hr/modules/ROOT/pages/commands/HiKvadrat.adoc b/hr/modules/ROOT/pages/commands/HiKvadrat.adoc index fff0cf3b1..a2b3a7913 100644 --- a/hr/modules/ROOT/pages/commands/HiKvadrat.adoc +++ b/hr/modules/ROOT/pages/commands/HiKvadrat.adoc @@ -31,6 +31,6 @@ HiKvadrat[ , ]:: [EXAMPLE] ==== -`++HiKvadrat[4, 3]++` daje stem:[\gamma(2, \frac\{3}\{2})], što približno iznosi _0.44_. +`++HiKvadrat[4, 3]++` daje stem:[\gamma(2, \frac{3}{2})], što približno iznosi _0.44_. ==== diff --git a/hr/modules/ROOT/pages/commands/HipergeometrijskaRazdioba.adoc b/hr/modules/ROOT/pages/commands/HipergeometrijskaRazdioba.adoc index bfaec782a..cca292178 100644 --- a/hr/modules/ROOT/pages/commands/HipergeometrijskaRazdioba.adoc +++ b/hr/modules/ROOT/pages/commands/HipergeometrijskaRazdioba.adoc @@ -45,14 +45,14 @@ Ostala tri parametra jednaka su gore opisanima. Pretpostavimo da izvlačimo bez vraćanja dvije loptice od deset, između kojih su dvije bijele. -* `++HipergeometrijskaRazdioba[10, 2, 2, 0, false]++` daje stem:[\frac\{28}\{45}], vjerojatnost izbora niti jedne bijele +* `++HipergeometrijskaRazdioba[10, 2, 2, 0, false]++` daje stem:[\frac{28}{45}], vjerojatnost izbora niti jedne bijele loptice, -* `++HyperGeometric[10, 2, 2, 1, false]++` daje stem:[\frac\{16}\{45}], vjerojatnost izbora jedne bijele loptice, -* `++HyperGeometric[10, 2, 2, 2, false]++` daje stem:[\frac\{1}\{45}], vjerojatnost izbora dvije bijele loptice, +* `++HyperGeometric[10, 2, 2, 1, false]++` daje stem:[\frac{16}{45}], vjerojatnost izbora jedne bijele loptice, +* `++HyperGeometric[10, 2, 2, 2, false]++` daje stem:[\frac{1}{45}], vjerojatnost izbora dvije bijele loptice, * `++HyperGeometric[10, 2, 2, 3, false]++` daje _0_, vjerojatnost izbora tri bijele loptice. -* `++HyperGeometric[10, 2, 2, 0, true]++` dajestem:[\frac\{28}\{45}], vjerojatnost izbora niti jedne (ili manje) bijelih +* `++HyperGeometric[10, 2, 2, 0, true]++` dajestem:[\frac{28}{45}], vjerojatnost izbora niti jedne (ili manje) bijelih loptica, -* `++HyperGeometric[10, 2, 2, 1, true]++` daje stem:[\frac\{44}\{45}], vjerojatnost izbora najviše jedne bijele loptice, +* `++HyperGeometric[10, 2, 2, 1, true]++` daje stem:[\frac{44}{45}], vjerojatnost izbora najviše jedne bijele loptice, * `++HyperGeometric[10, 2, 2, 2, true]++` daje _1_, vjerojatnost izbora najviše dvije bijele loptice, i * `++HyperGeometric[10, 2, 2, 3, true]++` daje _1_, vjerojatnost izbora najviše tri bijele loptice. diff --git a/hr/modules/ROOT/pages/commands/InverznaMatrica.adoc b/hr/modules/ROOT/pages/commands/InverznaMatrica.adoc index 506d9d7dc..26e470052 100644 --- a/hr/modules/ROOT/pages/commands/InverznaMatrica.adoc +++ b/hr/modules/ROOT/pages/commands/InverznaMatrica.adoc @@ -8,16 +8,16 @@ InverznaMatrica[ ]:: [EXAMPLE] ==== -`++Inverzna[{{a, b}, {c, d}}]++` daje stem:[\begin\{pmatrix}\frac\{d}\{ad- bc} & \frac\{-b}\{ad- bc}\\\frac\{-c}\{ad- -bc}& \frac\{a}\{ ad- bc}\end\{pmatrix}], inverznu matricu matrice stem:[\begin\{pmatrix}a & b\\c & d\end\{pmatrix}]. +`++Inverzna[{{a, b}, {c, d}}]++` daje stem:[\begin{pmatrix}\frac{d}{ad- bc} & \frac{-b}{ad- bc}\\\frac{-c}{ad- +bc}& \frac{a}{ ad- bc}\end{pmatrix}], inverznu matricu matrice stem:[\begin{pmatrix}a & b\\c & d\end{pmatrix}]. ==== [EXAMPLE] ==== -`++Inverzna[{{1, 2}, {3, 4}}]++` daje stem:[\begin\{pmatrix}-2 & 1\\1.5 & -0.5\end\{pmatrix}], inverznu matricu matrice -stem:[\begin\{pmatrix}1 & 2\\3 & 4\end\{pmatrix}]. +`++Inverzna[{{1, 2}, {3, 4}}]++` daje stem:[\begin{pmatrix}-2 & 1\\1.5 & -0.5\end{pmatrix}], inverznu matricu matrice +stem:[\begin{pmatrix}1 & 2\\3 & 4\end{pmatrix}]. ==== diff --git "a/hr/modules/ROOT/pages/commands/Jedini\304\215naMatrica.adoc" "b/hr/modules/ROOT/pages/commands/Jedini\304\215naMatrica.adoc" index a75f867dc..1ef14575c 100644 --- "a/hr/modules/ROOT/pages/commands/Jedini\304\215naMatrica.adoc" +++ "b/hr/modules/ROOT/pages/commands/Jedini\304\215naMatrica.adoc" @@ -8,7 +8,7 @@ JediničnaMatrica[ ]:: [EXAMPLE] ==== -`++JediničnaMatrica[3]++` daje matricu _stem:[\begin\{pmatrix}1&0&0\\0&1&0\\0&0&1\end\{pmatrix}]_. +`++JediničnaMatrica[3]++` daje matricu _stem:[\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}]_. ==== diff --git "a/hr/modules/ROOT/pages/commands/Jedini\304\215niOkomitVektor.adoc" "b/hr/modules/ROOT/pages/commands/Jedini\304\215niOkomitVektor.adoc" index 1f2574958..6a2d99fbe 100644 --- "a/hr/modules/ROOT/pages/commands/Jedini\304\215niOkomitVektor.adoc" +++ "b/hr/modules/ROOT/pages/commands/Jedini\304\215niOkomitVektor.adoc" @@ -12,15 +12,15 @@ JediničniOkomitVektor[ ]:: [EXAMPLE] ==== -Neka je _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]. `++JediničniOkomitVektor[v]++` daje_ -stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]__.__ +Neka je _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]. `++JediničniOkomitVektor[v]++` daje_ +stem:[\begin{pmatrix}-0.8\\0.6\end{pmatrix}]__.__ ==== [EXAMPLE] ==== -`++JediničniOkomitVektor[3x + 4y = 5]++` daje _stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]_. +`++JediničniOkomitVektor[3x + 4y = 5]++` daje _stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]_. ==== @@ -32,7 +32,7 @@ JediničniOkomitVektor[ ]:: [EXAMPLE] ==== -`++JediničniOkomitVektor[{a, b}]++` daje _\{stem:[\frac\{-b}\{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac\{a}\{\sqrt\{a^\{2} +`++JediničniOkomitVektor[{a, b}]++` daje _\{stem:[\frac{-b}{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac{a}{\sqrt\{a^\{2} + b^\{2}}}]}_. ==== diff --git "a/hr/modules/ROOT/pages/commands/Jedini\304\215niVektor.adoc" "b/hr/modules/ROOT/pages/commands/Jedini\304\215niVektor.adoc" index b728baae2..bc2b1c8f0 100644 --- "a/hr/modules/ROOT/pages/commands/Jedini\304\215niVektor.adoc" +++ "b/hr/modules/ROOT/pages/commands/Jedini\304\215niVektor.adoc" @@ -12,15 +12,15 @@ JediničniVektor[ ]:: [EXAMPLE] ==== -`++JediničniVektor[3x + 4y = 5]++` daje _stem:[\begin\{pmatrix}0.8\\-0.6\end\{pmatrix}]_. +`++JediničniVektor[3x + 4y = 5]++` daje _stem:[\begin{pmatrix}0.8\\-0.6\end{pmatrix}]_. ==== [EXAMPLE] ==== -Neka je _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]. `++JediničniVektor[v]++` daje_ -stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]__.__ +Neka je _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]. `++JediničniVektor[v]++` daje_ +stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]__.__ ==== @@ -32,8 +32,8 @@ JediničniVektor[ ]:: [EXAMPLE] ==== -* `++JediničniVektor[{a, b}]++` daje _\{stem:[\frac\{a}\{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac\{b}\{\sqrt\{a^\{2} + +* `++JediničniVektor[{a, b}]++` daje _\{stem:[\frac{a}{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac{b}{\sqrt\{a^\{2} + b^\{2}}}]}_. -* `++JediničniVektor[{2, 4, 4}]++` daje _\{stem:[\frac\{1}\{3}], stem:[\frac\{2}\{3}], stem:[\frac\{2}\{3}]}_. +* `++JediničniVektor[{2, 4, 4}]++` daje _\{stem:[\frac{1}{3}], stem:[\frac{2}{3}], stem:[\frac{2}{3}]}_. ==== diff --git a/hr/modules/ROOT/pages/commands/Kovarijanca.adoc b/hr/modules/ROOT/pages/commands/Kovarijanca.adoc index 62c3893a4..2bbcbe2d4 100644 --- a/hr/modules/ROOT/pages/commands/Kovarijanca.adoc +++ b/hr/modules/ROOT/pages/commands/Kovarijanca.adoc @@ -31,7 +31,7 @@ Kovarijanca[ ]:: [EXAMPLE] ==== -`++Kovarijanca[{(a, 1), (2, 3), (3, 7)}]++` daje _stem:[\frac\{-8a+26}\{9}]_, kovarijancu od _\{a, 2, 3}_ i _\{1, 3, +`++Kovarijanca[{(a, 1), (2, 3), (3, 7)}]++` daje _stem:[\frac{-8a+26}{9}]_, kovarijancu od _\{a, 2, 3}_ i _\{1, 3, 7}_. ==== diff --git a/hr/modules/ROOT/pages/commands/ParcijalniRazlomci.adoc b/hr/modules/ROOT/pages/commands/ParcijalniRazlomci.adoc index 6f0207a99..5d7d00f3e 100644 --- a/hr/modules/ROOT/pages/commands/ParcijalniRazlomci.adoc +++ b/hr/modules/ROOT/pages/commands/ParcijalniRazlomci.adoc @@ -9,7 +9,7 @@ ParcijalniRazlomci[ ]:: [EXAMPLE] ==== -`++ParcijalniRazlomci[x^2 / (x^2 - 2x + 1)]++` daje _1 + stem:[\frac\{2}\{x - 1}] + stem:[\frac\{1}\{x^2 - 2x + 1}]._ +`++ParcijalniRazlomci[x^2 / (x^2 - 2x + 1)]++` daje _1 + stem:[\frac{2}{x - 1}] + stem:[\frac{1}{x^2 - 2x + 1}]._ ==== @@ -26,6 +26,6 @@ Daje ako je moguće parcijalne razlomke zadane funkcije u odnosu na zadanu varij [EXAMPLE] ==== -`++ParcijalniRazlomci[a^2 / (a^2 - 2a + 1), a]++` daje _1 + stem:[\frac\{2}\{a - 1}] + stem:[\frac\{1}\{a^2 - 2a + 1}]._ +`++ParcijalniRazlomci[a^2 / (a^2 - 2a + 1), a]++` daje _1 + stem:[\frac{2}{a - 1}] + stem:[\frac{1}{a^2 - 2a + 1}]._ ==== diff --git a/hr/modules/ROOT/pages/commands/PolarneKoordinate.adoc b/hr/modules/ROOT/pages/commands/PolarneKoordinate.adoc index 79076b0f9..56a9114f4 100644 --- a/hr/modules/ROOT/pages/commands/PolarneKoordinate.adoc +++ b/hr/modules/ROOT/pages/commands/PolarneKoordinate.adoc @@ -10,7 +10,7 @@ PolarneKoordinate[ ]:: [EXAMPLE] ==== -`++PolarneKoordinate[1 + sqrt(3) * ί]++` daje '(2; stem:[\frac\{\pi}\{3}])_, polarne koordinate od_ 1 + stem:[\sqrt\{3}] +`++PolarneKoordinate[1 + sqrt(3) * ί]++` daje '(2; stem:[\frac{\pi}{3}])_, polarne koordinate od_ 1 + stem:[\sqrt\{3}] * ί__.__ ==== @@ -30,6 +30,6 @@ PolarneKoordinate[ ]:: [EXAMPLE] ==== -`++PolarneKoordinate[{1, sqrt(3)}]++` daje _(2; stem:[\frac\{\pi}\{3}])_, polarne koordinate od _(1, stem:[\sqrt\{3}])_. +`++PolarneKoordinate[{1, sqrt(3)}]++` daje _(2; stem:[\frac{\pi}{3}])_, polarne koordinate od _(1, stem:[\sqrt\{3}])_. ==== diff --git a/hr/modules/ROOT/pages/commands/ReduciraniRedakEchelonoveForme.adoc b/hr/modules/ROOT/pages/commands/ReduciraniRedakEchelonoveForme.adoc index 024ef14b3..fc72d3ef0 100644 --- a/hr/modules/ROOT/pages/commands/ReduciraniRedakEchelonoveForme.adoc +++ b/hr/modules/ROOT/pages/commands/ReduciraniRedakEchelonoveForme.adoc @@ -13,7 +13,7 @@ ReduciraniRedakEchelonoveForme[ ]:: [EXAMPLE] ==== -`++ReduciraniRedakEchelonoveForme[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` daje matricu stem:[ \begin\{pmatrix} 1 & 0 & 0 -\\ 0 & 1 & 0 \\ 0 & 0 & 1 \end\{pmatrix}]. +`++ReduciraniRedakEchelonoveForme[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` daje matricu stem:[ \begin{pmatrix} 1 & 0 & 0 +\\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}]. ==== diff --git "a/hr/modules/ROOT/pages/commands/Rije\305\241iODJ.adoc" "b/hr/modules/ROOT/pages/commands/Rije\305\241iODJ.adoc" index e44824255..af1033bfd 100644 --- "a/hr/modules/ROOT/pages/commands/Rije\305\241iODJ.adoc" +++ "b/hr/modules/ROOT/pages/commands/Rije\305\241iODJ.adoc" @@ -3,15 +3,15 @@ ifdef::env-github[:imagesdir: /hr/modules/ROOT/assets/images] RiješiODJ[ , , , , ]:: - Rješava običnu diferencijalnu jednadžbu prvog stupnja (ODJ) stem:[\frac\{dy}\{dx}=f'(x,y)] numeričkim putem uz zadanu + Rješava običnu diferencijalnu jednadžbu prvog stupnja (ODJ) stem:[\frac{dy}{dx}=f'(x,y)] numeričkim putem uz zadanu početnu točku te završetak & korak za _x_. - Na primjer za rješenje ODJ stem:[\frac\{dy}\{dx}=-xy] koristeći _A_ za početnu točku, ukucajte + Na primjer za rješenje ODJ stem:[\frac{dy}{dx}=-xy] koristeći _A_ za početnu točku, ukucajte `++RiješiODJ[-x*y, x(A), y(A), 5, 0.1].++` RiješiODJ[ , , , , , ]:: - Rješava običnu diferencijalnu jednadžbu prvog stupnja stem:[\frac\{dy}\{dx}=\frac\{f(x,y)}\{g(x,y)}] za zadanu početnu + Rješava običnu diferencijalnu jednadžbu prvog stupnja stem:[\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}] za zadanu početnu točku, najveću vrijednost internog parametra _t_ te zadani korak za _t_. Ova verzija naredbe može raditi kada prva zakaže npr. kada krivulja koja predstavlja rješenje ima točke iste apscise. - Na primjer za rješenje ODJ stem:[\frac\{dy}\{dx}=- \frac\{x}\{y} ] koristeći _A_ za početnu točku, ukucajte + Na primjer za rješenje ODJ stem:[\frac{dy}{dx}=- \frac{x}{y} ] koristeći _A_ za početnu točku, ukucajte `++RiješiODJ[-x, y, x(A), y(A), 5, 0.1].++` RiješiODJ[ [ , , , , , , , ]:: Rješava ODJ drugog stupnja stem:[y''+b(x)y'+c(x)y=f(x)] . @@ -35,9 +35,9 @@ Početni[lokus1,Duljina[lokus1]]. == CAS prikaz RiješiODJ[ ]:: - Pokušava naći točno rješenje ODJ prvog stupnja stem:[\frac\{dy}\{dx}(x)=f(x, y(x))]. + Pokušava naći točno rješenje ODJ prvog stupnja stem:[\frac{dy}{dx}(x)=f(x, y(x))]. RiješiODJ[ , , ]:: - Pokušava naći točno rješenje ODJ prvog stupnja stem:[\frac\{dv}\{dw}(w)=f(w, v(w))]. + Pokušava naći točno rješenje ODJ prvog stupnja stem:[\frac{dv}{dw}(w)=f(w, v(w))]. [EXAMPLE] ==== diff --git a/hr/modules/ROOT/pages/commands/Sxx.adoc b/hr/modules/ROOT/pages/commands/Sxx.adoc index c3c4f0a74..d251dc730 100644 --- a/hr/modules/ROOT/pages/commands/Sxx.adoc +++ b/hr/modules/ROOT/pages/commands/Sxx.adoc @@ -3,6 +3,6 @@ ifdef::env-github[:imagesdir: /hr/modules/ROOT/assets/images] Sxx[ ]:: - Izračunava stem:[\sum x^2 - \frac\{(\sum x)^2}\{n}]. + Izračunava stem:[\sum x^2 - \frac{(\sum x)^2}{n}]. Sxx[ ]:: - Izračunava stem:[\sum x^2 - \frac\{(\sum x)^2}\{n}] koristeći _x_-koordinate danih točaka. + Izračunava stem:[\sum x^2 - \frac{(\sum x)^2}{n}] koristeći _x_-koordinate danih točaka. diff --git a/hr/modules/ROOT/pages/commands/Sxy.adoc b/hr/modules/ROOT/pages/commands/Sxy.adoc index b4983f09f..4654d66bd 100644 --- a/hr/modules/ROOT/pages/commands/Sxy.adoc +++ b/hr/modules/ROOT/pages/commands/Sxy.adoc @@ -3,6 +3,6 @@ ifdef::env-github[:imagesdir: /hr/modules/ROOT/assets/images] Sxy[ ]:: - Izračunava stem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}] koristeći koordinate danih točaka. + Izračunava stem:[\sum xy - \frac{(\sum x) (\sum y)}{n}] koristeći koordinate danih točaka. Sxy[ , ]:: - Izračunava stem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}]. + Izračunava stem:[\sum xy - \frac{(\sum x) (\sum y)}{n}]. diff --git a/hr/modules/ROOT/pages/commands/Syy.adoc b/hr/modules/ROOT/pages/commands/Syy.adoc index 719cd8e6b..113f6d66a 100644 --- a/hr/modules/ROOT/pages/commands/Syy.adoc +++ b/hr/modules/ROOT/pages/commands/Syy.adoc @@ -3,4 +3,4 @@ ifdef::env-github[:imagesdir: /hr/modules/ROOT/assets/images] Syy[ ]:: - Izračunava stem:[ \sum y^2 -\frac\{ (\sum y)^2}\{n}] koristeći _y_-koordinate danih točaka. + Izračunava stem:[ \sum y^2 -\frac{ (\sum y)^2}{n}] koristeći _y_-koordinate danih točaka. diff --git a/hr/modules/ROOT/pages/commands/TransponiranaMatrica.adoc b/hr/modules/ROOT/pages/commands/TransponiranaMatrica.adoc index 7e798616c..b6b631f4a 100644 --- a/hr/modules/ROOT/pages/commands/TransponiranaMatrica.adoc +++ b/hr/modules/ROOT/pages/commands/TransponiranaMatrica.adoc @@ -8,8 +8,8 @@ TransponiranaMatrica[ ]:: [EXAMPLE] ==== -`++TransponiranaMatrica[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` daje matricu stem:[\begin\{pmatrix}1&4&7\\ 2&5&8\\ -3&6&9\end\{pmatrix}]. +`++TransponiranaMatrica[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` daje matricu stem:[\begin{pmatrix}1&4&7\\ 2&5&8\\ +3&6&9\end{pmatrix}]. ==== @@ -21,6 +21,6 @@ TransponiranaMatrica[ ]:: [EXAMPLE] ==== -`++TransponiranaMatrica[{{a, b}, {c, d}}]++` daje matricu stem:[\begin\{pmatrix}a&c\\b&d\end\{pmatrix}]. +`++TransponiranaMatrica[{{a, b}, {c, d}}]++` daje matricu stem:[\begin{pmatrix}a&c\\b&d\end{pmatrix}]. ==== diff --git a/hr/modules/ROOT/pages/commands/UzorakVarijance.adoc b/hr/modules/ROOT/pages/commands/UzorakVarijance.adoc index aa0763e36..2caf13ffe 100644 --- a/hr/modules/ROOT/pages/commands/UzorakVarijance.adoc +++ b/hr/modules/ROOT/pages/commands/UzorakVarijance.adoc @@ -14,6 +14,6 @@ VarijancaUzorka[ ]:: [EXAMPLE] ==== -`++VarijancaUzorka[{x, y, z}]++` daje stem:[\frac\{x² - x y - x z + y² - y z + z²}\{3}]. +`++VarijancaUzorka[{x, y, z}]++` daje stem:[\frac{x² - x y - x z + y² - y z + z²}{3}]. ==== diff --git a/hr/modules/ROOT/pages/commands/VarijancaUzorka.adoc b/hr/modules/ROOT/pages/commands/VarijancaUzorka.adoc index 592fc31ca..d7540168a 100644 --- a/hr/modules/ROOT/pages/commands/VarijancaUzorka.adoc +++ b/hr/modules/ROOT/pages/commands/VarijancaUzorka.adoc @@ -15,6 +15,6 @@ VarijancaUzorka[ ]:: [EXAMPLE] ==== -`++VarijancaUzorka[{x, y, z}]++` daje stem:[\frac\{x² - x y - x z + y² - y z + z²}\{3}]. +`++VarijancaUzorka[{x, y, z}]++` daje stem:[\frac{x² - x y - x z + y² - y z + z²}{3}]. ==== diff --git a/hr/modules/ROOT/pages/commands/Zbroj.adoc b/hr/modules/ROOT/pages/commands/Zbroj.adoc index 6d55eec91..848a9f013 100644 --- a/hr/modules/ROOT/pages/commands/Zbroj.adoc +++ b/hr/modules/ROOT/pages/commands/Zbroj.adoc @@ -61,6 +61,6 @@ Zbroj[ , , , ]:: * `++Zbroj[i^2, i, 1, 3]++` daje _14_. * `++Zbroj[r^i, i, 0, n]++` daje _stem:[\frac\{r^\{n+1} - 1}\{r - 1}]_. -* `++Zbroj[(1/3)^i, i, 0, beskonačno]++` daje _stem:[\frac\{3}\{2}]_. +* `++Zbroj[(1/3)^i, i, 0, beskonačno]++` daje _stem:[\frac{3}{2}]_. ==== diff --git "a/hu/modules/ROOT/pages/commands/Ir\303\241nyMez\305\221.adoc" "b/hu/modules/ROOT/pages/commands/Ir\303\241nyMez\305\221.adoc" index a3dda4a7a..19c2fbf3b 100644 --- "a/hu/modules/ROOT/pages/commands/Ir\303\241nyMez\305\221.adoc" +++ "b/hu/modules/ROOT/pages/commands/Ir\303\241nyMez\305\221.adoc" @@ -3,7 +3,7 @@ ifdef::env-github[:imagesdir: /hu/modules/ROOT/assets/images] IrányMező[ ]:: - Megrajzolja a stem:[\frac{dy}\{dx}=f(x,y)] egyenlet https://en.wikipedia.org/wiki/Slope_field[iránymezejét]. + Megrajzolja a stem:[\frac{dy}{dx}=f(x,y)] egyenlet https://en.wikipedia.org/wiki/Slope_field[iránymezejét]. [EXAMPLE] ==== @@ -13,16 +13,16 @@ IrányMező[ ]:: ==== IrányMező[ , ]:: - Megrajzolja a stem:[\frac{dy}\{dx}=f(x,y)] differenciálegyenlet iránymezejét egy n számon az n rácson (ha a + Megrajzolja a stem:[\frac{dy}{dx}=f(x,y)] differenciálegyenlet iránymezejét egy n számon az n rácson (ha a image:16px-Menu_view_graphics.svg.png[Menu view graphics.svg,width=16,height=16] xref:/Geometria_ablak.adoc[Geometria ablak] egy négyzet), vagy egy kisebb rácson, ha nem. Az alapértelmezett 40. IrányMező[ , , ]:: - Megrajzolja a stem:[\frac{dy}\{dx}=f(x,y)] differenciálegyenlet iránymezejét. A hossz szorzója (0, , , , , , ]:: - Megrajzolja a stem:[\frac{dy}\{dx}=f(x,y)] differenciálegyenlet iránymezejét a megadott téglalapban (a + Megrajzolja a stem:[\frac{dy}{dx}=f(x,y)] differenciálegyenlet iránymezejét a megadott téglalapban (a image:16px-Menu_view_graphics.svg.png[Menu view graphics.svg,width=16,height=16] xref:/Geometria_ablak.adoc[Geometria ablak] kitöltése helyett). diff --git "a/hu/modules/ROOT/pages/commands/M\303\251rtaniHely.adoc" "b/hu/modules/ROOT/pages/commands/M\303\251rtaniHely.adoc" index 50646c48a..125f15f10 100644 --- "a/hu/modules/ROOT/pages/commands/M\303\251rtaniHely.adoc" +++ "b/hu/modules/ROOT/pages/commands/M\303\251rtaniHely.adoc" @@ -19,7 +19,7 @@ MértaniHely[ , ]:: Létrehoz egy mértani helyet, amely az iránymezőnek felel meg a megadott pontban. MértaniHely[ , ]:: - Létrehoz egy mértani helyet, amely a stem:[\frac{dy}\{dx}=f(x,y)] differenciálegyenletnek felel meg a megadott + Létrehoz egy mértani helyet, amely a stem:[\frac{dy}{dx}=f(x,y)] differenciálegyenletnek felel meg a megadott pontban. A megoldás egy szám. A mértani helyek bizonyos objektumtípusok, amelyek xref:/Szabad_Függő_és_Segéd_alakzatok.adoc[segéd alakzatként] diff --git "a/mk/modules/ROOT/pages/commands/\320\221\320\270\320\275\320\276\320\274\320\275\320\260\320\240\320\260\321\201\320\277\321\200\320\265\320\264\320\265\320\273\320\261\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\221\320\270\320\275\320\276\320\274\320\275\320\260\320\240\320\260\321\201\320\277\321\200\320\265\320\264\320\265\320\273\320\261\320\260.adoc" index fbe662361..98c5bf077 100644 --- "a/mk/modules/ROOT/pages/commands/\320\221\320\270\320\275\320\276\320\274\320\275\320\260\320\240\320\260\321\201\320\277\321\200\320\265\320\264\320\265\320\273\320\261\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\221\320\270\320\275\320\276\320\274\320\275\320\260\320\240\320\260\321\201\320\277\321\200\320\265\320\264\320\265\320\273\320\261\320\260.adoc" @@ -31,22 +31,22 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] ==== Да се претпостави пренесување на три пакети на податоци на една дефектна линија. Шансата на произволен пакет пренесен -преку оваа линија ќе биде корумпиран е stem:[ \frac\{1}\{10}], па од тука можност за пренесување на еден пакет е -stem:[\frac\{9}\{10} ]. +преку оваа линија ќе биде корумпиран е stem:[ \frac{1}{10}], па од тука можност за пренесување на еден пакет е +stem:[\frac{9}{10} ]. -* `++БиномнаРаспределба[3, 0.9, 0, false]++` дава stem:[ \frac\{1}\{1000} ], веројатноста за ниту еден од трите пакети +* `++БиномнаРаспределба[3, 0.9, 0, false]++` дава stem:[ \frac{1}{1000} ], веројатноста за ниту еден од трите пакети се пренесува успешно, -* `++БиномнаРаспределба[3, 0.9, 1, false]++` дава stem:[\frac\{27}\{1000}], веројатноста за ниту еден од трите пакети се +* `++БиномнаРаспределба[3, 0.9, 1, false]++` дава stem:[\frac{27}{1000}], веројатноста за ниту еден од трите пакети се пренесува успешно, -* `++БиномнаРаспределба[3, 0.9, 2, false]++` дава stem:[\frac\{243}\{1000}], веројатноста за ниту еден од трите пакети +* `++БиномнаРаспределба[3, 0.9, 2, false]++` дава stem:[\frac{243}{1000}], веројатноста за ниту еден од трите пакети се пренесува успешно, -* `++БиномнаРаспределба[3, 0.9, 3, false]++` дава stem:[\frac\{729}\{1000}], веројатноста за ниту еден од трите пакети +* `++БиномнаРаспределба[3, 0.9, 3, false]++` дава stem:[\frac{729}{1000}], веројатноста за ниту еден од трите пакети се пренесува успешно, -* `++БиномнаРаспределба[3, 0.9, 0, true]++` дава stem:[\frac\{1}\{1000}], веројатноста за ниту еден од трите пакети се +* `++БиномнаРаспределба[3, 0.9, 0, true]++` дава stem:[\frac{1}{1000}], веројатноста за ниту еден од трите пакети се пренесува успешно, -* `++БиномнаРаспределба[3, 0.9, 1, true]++` дава stem:[\frac\{7}\{250}], веројатноста за ниту еден од трите пакети се +* `++БиномнаРаспределба[3, 0.9, 1, true]++` дава stem:[\frac{7}{250}], веројатноста за ниту еден од трите пакети се пренесува успешно, -* `++БиномнаРаспределба[3, 0.9, 2, true]++` дава stem:[\frac\{271}\{1000}], веројатноста за најмногу две од три пакети +* `++БиномнаРаспределба[3, 0.9, 2, true]++` дава stem:[\frac{271}{1000}], веројатноста за најмногу две од три пакети се пренесува успешно, * `++БиномнаРаспределба[3, 0.9, 3, true]++` дава _1_, веројатноста за ниту еден од трите пакети се пренесува успешно, * `++БиномнаРаспределба[3, 0.9, 4, false]++` дава _0_, веројатноста за точно четири на три пакети се пренесува успешно, diff --git "a/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" "b/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" index b84d606d9..5dbfd0ed0 100644 --- "a/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" @@ -12,15 +12,15 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++ЕдинеченВектор[3x + 4y = 5]++` дава _stem:[\begin\{pmatrix}0.8\\-0.6\end\{pmatrix}]_. +`++ЕдинеченВектор[3x + 4y = 5]++` дава _stem:[\begin{pmatrix}0.8\\-0.6\end{pmatrix}]_. ==== [EXAMPLE] ==== -Let _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]. `++ЕдинеченВектор[v]++` дава_ -stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]__.__ +Let _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]. `++ЕдинеченВектор[v]++` дава_ +stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]__.__ ==== @@ -34,14 +34,14 @@ stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]__.__ [EXAMPLE] ==== -`++ЕдинеченВектор[{2, 4, 4}]++` дава _\{stem:[\frac\{1}\{3}], stem:[\frac\{2}\{3}], stem:[\frac\{2}\{3}]}_. +`++ЕдинеченВектор[{2, 4, 4}]++` дава _\{stem:[\frac{1}{3}], stem:[\frac{2}{3}], stem:[\frac{2}{3}]}_. ==== [EXAMPLE] ==== -`++ЕдинеченВектор[{a, b}]++` дава _\{stem:[\frac\{a}\{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac\{b}\{\sqrt\{a^\{2} + +`++ЕдинеченВектор[{a, b}]++` дава _\{stem:[\frac{a}{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac{b}{\sqrt\{a^\{2} + b^\{2}}}]}_. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\235\320\276\321\200\320\274\320\260\320\273\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" "b/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\235\320\276\321\200\320\274\320\260\320\273\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" index 5cf4e5ae3..8a165aa7d 100644 --- "a/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\235\320\276\321\200\320\274\320\260\320\273\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\225\320\264\320\270\320\275\320\265\321\207\320\265\320\275\320\235\320\276\321\200\320\274\320\260\320\273\320\265\320\275\320\222\320\265\320\272\321\202\320\276\321\200.adoc" @@ -12,15 +12,15 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -Let _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]. `++ЕдинеченНормаленВектор[v]++` дава_ -stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]__.__ +Let _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]. `++ЕдинеченНормаленВектор[v]++` дава_ +stem:[\begin{pmatrix}-0.8\\0.6\end{pmatrix}]__.__ ==== [EXAMPLE] ==== -`++ЕдинеченНормаленВектор[3x + 4y = 5]++` дава _stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]_. +`++ЕдинеченНормаленВектор[3x + 4y = 5]++` дава _stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]_. ==== @@ -34,7 +34,7 @@ stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]__.__ [EXAMPLE] ==== -`++ЕдинеченНормаленВектор[{a, b}]++` дава _\{stem:[\frac\{-b}\{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac\{a}\{\sqrt\{a^\{2} +`++ЕдинеченНормаленВектор[{a, b}]++` дава _\{stem:[\frac{-b}{\sqrt\{a^\{2} + b^\{2}}}], stem:[\frac{a}{\sqrt\{a^\{2} + b^\{2}}}]}_. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\230\320\264\320\265\320\275\321\202\320\270\321\202\320\265\321\202.adoc" "b/mk/modules/ROOT/pages/commands/\320\230\320\264\320\265\320\275\321\202\320\270\321\202\320\265\321\202.adoc" index 07ccefd6f..441e2b1fc 100644 --- "a/mk/modules/ROOT/pages/commands/\320\230\320\264\320\265\320\275\321\202\320\270\321\202\320\265\321\202.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\230\320\264\320\265\320\275\321\202\320\270\321\202\320\265\321\202.adoc" @@ -8,7 +8,7 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++ Идентитет[3]++` ја дава матрицата _stem:[\begin\{pmatrix}1&0&0\\0&1&0\\0&0&1\end\{pmatrix}]_. +`++ Идентитет[3]++` ја дава матрицата _stem:[\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}]_. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\230\320\275\320\262\320\265\321\200\320\267\320\275\320\260\320\234\320\260\321\202\321\200\320\270\321\206\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\230\320\275\320\262\320\265\321\200\320\267\320\275\320\260\320\234\320\260\321\202\321\200\320\270\321\206\320\260.adoc" index 30d6c65a0..430cb010d 100644 --- "a/mk/modules/ROOT/pages/commands/\320\230\320\275\320\262\320\265\321\200\320\267\320\275\320\260\320\234\320\260\321\202\321\200\320\270\321\206\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\230\320\275\320\262\320\265\321\200\320\267\320\275\320\260\320\234\320\260\321\202\321\200\320\270\321\206\320\260.adoc" @@ -11,15 +11,15 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] ==== - `++ИнверзнаМатрица[{{a, b}, {c, d}}]++` се добива следната инверзна матрица stem:[ \begin\{pmatrix} \frac\{d}\{a* d- - b* c} & \frac\{-b}\{a* d- b* c}\\ \frac\{-c}\{a* d- b* c}& \frac\{a}\{ a* d- b* c} \end\{pmatrix} ]. + `++ИнверзнаМатрица[{{a, b}, {c, d}}]++` се добива следната инверзна матрица stem:[ \begin{pmatrix} \frac{d}{a* d- + b* c} & \frac{-b}{a* d- b* c}\\ \frac{-c}{a* d- b* c}& \frac{a}{ a* d- b* c} \end{pmatrix} ]. ==== [EXAMPLE] ==== -`++ИнверзнаМатрица[{{1, 2}, {3, 4}}]++` се добива следната инверзна матрица stem:[ \begin\{pmatrix} -2 & 1\\ 1.5 & -0.5 -\end\{pmatrix} ]. +`++ИнверзнаМатрица[{{1, 2}, {3, 4}}]++` се добива следната инверзна матрица stem:[ \begin{pmatrix} -2 & 1\\ 1.5 & -0.5 +\end{pmatrix} ]. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\237\321\200\320\276\321\201\321\202\320\260\320\222\320\260\321\200\320\270\321\230\320\260\320\275\321\201\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\237\321\200\320\276\321\201\321\202\320\260\320\222\320\260\321\200\320\270\321\230\320\260\320\275\321\201\320\260.adoc" index 90a2d3f94..fbd2755bf 100644 --- "a/mk/modules/ROOT/pages/commands/\320\237\321\200\320\276\321\201\321\202\320\260\320\222\320\260\321\200\320\270\321\230\320\260\320\275\321\201\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\237\321\200\320\276\321\201\321\202\320\260\320\222\320\260\321\200\320\270\321\230\320\260\320\275\321\201\320\260.adoc" @@ -15,6 +15,6 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++ПростаВаријанса[{x, y, z}]++` дава stem:[\frac\{x² - x y - x z + y² - y z + z²}\{3}]. +`++ПростаВаријанса[{x, y, z}]++` дава stem:[\frac{x² - x y - x z + y² - y z + z²}{3}]. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\240\320\260\321\206\320\270\320\276\320\275\320\260\320\273\320\270\320\267\320\270\321\200\320\260\321\230.adoc" "b/mk/modules/ROOT/pages/commands/\320\240\320\260\321\206\320\270\320\276\320\275\320\260\320\273\320\270\320\267\320\270\321\200\320\260\321\230.adoc" index 39e953167..e0d877600 100644 --- "a/mk/modules/ROOT/pages/commands/\320\240\320\260\321\206\320\270\320\276\320\275\320\260\320\273\320\270\320\267\320\270\321\200\320\260\321\230.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\240\320\260\321\206\320\270\320\276\320\275\320\260\320\273\320\270\320\267\320\270\321\200\320\260\321\230.adoc" @@ -10,7 +10,7 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++ Рационализирај[3.5]++` дава stem:[\frac\{7}\{2}]. +`++ Рационализирај[3.5]++` дава stem:[\frac{7}{2}]. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\240\320\265\320\264\321\203\321\206\320\270\321\200\320\260\320\275\320\240\320\265\320\264\320\225\321\210\320\260\320\273\320\276\320\275\320\276\320\262\320\260\320\244\320\276\321\200\320\274\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\240\320\265\320\264\321\203\321\206\320\270\321\200\320\260\320\275\320\240\320\265\320\264\320\225\321\210\320\260\320\273\320\276\320\275\320\276\320\262\320\260\320\244\320\276\321\200\320\274\320\260.adoc" index bfb25397e..c9247bbe9 100644 --- "a/mk/modules/ROOT/pages/commands/\320\240\320\265\320\264\321\203\321\206\320\270\321\200\320\260\320\275\320\240\320\265\320\264\320\225\321\210\320\260\320\273\320\276\320\275\320\276\320\262\320\260\320\244\320\276\321\200\320\274\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\240\320\265\320\264\321\203\321\206\320\270\321\200\320\260\320\275\320\240\320\265\320\264\320\225\321\210\320\260\320\273\320\276\320\275\320\276\320\262\320\260\320\244\320\276\321\200\320\274\320\260.adoc" @@ -14,7 +14,7 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++РедуциранРедЕшалоноваФорма[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` дава матрица stem:[ \begin\{pmatrix} 1 & 0 & 0 \\ 0 -& 1 & 0 \\ 0 & 0 & 1 \end\{pmatrix}]. +`++РедуциранРедЕшалоноваФорма[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` дава матрица stem:[ \begin{pmatrix} 1 & 0 & 0 \\ 0 +& 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}]. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\265\320\275\320\270\321\230\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\265\320\275\320\270\321\230\320\260.adoc" index f72711977..856eb4cf0 100644 --- "a/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\265\320\275\320\270\321\230\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\265\320\275\320\270\321\230\320\260.adoc" @@ -15,16 +15,16 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] ==== * `++ Решенија[{x = 4 x + y , y + x = 2}, {x, y}]++` дава _\{\{-1, 3}}_, единствено решение за _x = 4x + y_ и _y + x = -2_, Прикажани како stem:[\begin\{pmatrix} -1&3 \end\{pmatrix}]. +2_, Прикажани како stem:[\begin{pmatrix} -1&3 \end{pmatrix}]. ** `++ Решенија[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]++` дава _\{\{0, 3}, \{-3, 6}}_, прикажани како -stem:[\begin\{pmatrix} 0&3\\ -3&6 \end\{pmatrix}]. +stem:[\begin{pmatrix} 0&3\\ -3&6 \end{pmatrix}]. ==== [EXAMPLE] ==== -`++ Решенија[x * a^2 = 4a, a]++` дава stem:[\\{\frac\{4}\{x},0\}], решенијата на _x a^2^ = 4a_. +`++ Решенија[x * a^2 = 4a, a]++` дава stem:[\\{\frac{4}{x},0\}], решенијата на _x a^2^ = 4a_. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\270.adoc" "b/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\270.adoc" index 494797056..ec343968a 100644 --- "a/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\270.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\240\320\265\321\210\320\270.adoc" @@ -22,7 +22,7 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++Реши[x * a^2 = 4a, a]++` дава stem:[\\{a = \frac\{4}\{x}, a = 0\}], решенијата на _x a^2^ = 4a_. +`++Реши[x * a^2 = 4a, a]++` дава stem:[\\{a = \frac{4}{x}, a = 0\}], решенијата на _x a^2^ = 4a_. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XX.adoc" "b/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XX.adoc" index 5b9762fa2..6564faaa0 100644 --- "a/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XX.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XX.adoc" @@ -3,6 +3,6 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] СтандардноОдстапувањеХХ[листа од броеви]:: - ја пресметува статистикатаstem:[\sum x^2 - \frac\{(\sum x)^2}\{n}]. + ја пресметува статистикатаstem:[\sum x^2 - \frac{(\sum x)^2}{n}]. СтандардноОдстапувањеХХ[листа од точки]:: - ја пресметува статистиката stem:[\sum x^2 - \frac\{(\sum x)^2}\{n}] користејќи ги _x_-координатите на дадените точки. + ја пресметува статистиката stem:[\sum x^2 - \frac{(\sum x)^2}{n}] користејќи ги _x_-координатите на дадените точки. diff --git "a/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XY.adoc" "b/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XY.adoc" index e02709d1a..9a6d35714 100644 --- "a/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XY.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265XY.adoc" @@ -3,7 +3,7 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] СтандардноОдстапувањеХY[листа од броеви, листа од броеви]:: - ја пресметува статистикатаstem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}]. + ја пресметува статистикатаstem:[\sum xy - \frac{(\sum x) (\sum y)}{n}]. СтандардноОдстапувањеХY[листа од точки]:: - ја пресметува статистиката stem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}] користејќи ги координатите на дадените + ја пресметува статистиката stem:[\sum xy - \frac{(\sum x) (\sum y)}{n}] користејќи ги координатите на дадените точки. diff --git "a/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265YY.adoc" "b/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265YY.adoc" index 8d517c31f..baa579e16 100644 --- "a/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265YY.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\241\321\202\320\260\320\275\320\264\320\260\321\200\320\264\320\275\320\276\320\236\320\264\321\201\321\202\320\260\320\277\321\203\320\262\320\260\321\232\320\265YY.adoc" @@ -3,5 +3,5 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] СтандардноОдстапувањеYY:: - ја пресметува статистиката stem:[ \sum y^2 -\frac\{ (\sum y)^2}\{n}] користејќи ги _y_ -координатите на дадените + ја пресметува статистиката stem:[ \sum y^2 -\frac{ (\sum y)^2}{n}] користејќи ги _y_ -координатите на дадените точки. diff --git "a/mk/modules/ROOT/pages/commands/\320\241\321\203\320\274\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\241\321\203\320\274\320\260.adoc" index febd9529c..5e7977cda 100644 --- "a/mk/modules/ROOT/pages/commands/\320\241\321\203\320\274\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\241\321\203\320\274\320\260.adoc" @@ -43,6 +43,6 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] * `++Сума[i^2, i, 1, 3]++` се добива _14_. * `++Сума[r^i, i, 0, n]++` се добива _stem:[\frac\{r^\{n+1} - 1}\{r - 1}]_. -* `++Сума[(1/3)^i, i, 0, бесконечност]++` се добива _stem:[\frac\{3}\{2}]_. +* `++Сума[(1/3)^i, i, 0, бесконечност]++` се добива _stem:[\frac{3}{2}]_. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\242\321\200\320\260\320\275\321\201\320\277\320\276\320\275\320\270\321\200\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\242\321\200\320\260\320\275\321\201\320\277\320\276\320\275\320\270\321\200\320\260.adoc" index 6964cc89a..0e63e30f6 100644 --- "a/mk/modules/ROOT/pages/commands/\320\242\321\200\320\260\320\275\321\201\320\277\320\276\320\275\320\270\321\200\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\242\321\200\320\260\320\275\321\201\320\277\320\276\320\275\320\270\321\200\320\260.adoc" @@ -8,8 +8,8 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++Tранспонира[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` дава матрица stem:[\begin\{pmatrix}1&4&7\\ 2&5&8\\ -3&6&9\end\{pmatrix}]. +`++Tранспонира[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` дава матрица stem:[\begin{pmatrix}1&4&7\\ 2&5&8\\ +3&6&9\end{pmatrix}]. ==== @@ -21,6 +21,6 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++Транспонира[{{a, b}, {c, d}}]++` дава матрица stem:[\begin\{pmatrix}a&c\\b&d\end\{pmatrix}]. +`++Транспонира[{{a, b}, {c, d}}]++` дава матрица stem:[\begin{pmatrix}a&c\\b&d\end{pmatrix}]. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\245\320\270\320\232\320\262\320\260\320\264\321\200\320\260\321\202\320\275\320\260.adoc" "b/mk/modules/ROOT/pages/commands/\320\245\320\270\320\232\320\262\320\260\320\264\321\200\320\260\321\202\320\275\320\260.adoc" index 57eb340e1..590c9005b 100644 --- "a/mk/modules/ROOT/pages/commands/\320\245\320\270\320\232\320\262\320\260\320\264\321\200\320\260\321\202\320\275\320\260.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\245\320\270\320\232\320\262\320\260\320\264\321\200\320\260\321\202\320\275\320\260.adoc" @@ -22,6 +22,6 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] [EXAMPLE] ==== -`++ХиКвадратна[4, 3]++` дава stem:[\gamma(2, \frac\{3}\{2})], што е приближно _0.44_. +`++ХиКвадратна[4, 3]++` дава stem:[\gamma(2, \frac{3}{2})], што е приближно _0.44_. ==== diff --git "a/mk/modules/ROOT/pages/commands/\320\245\320\270\320\277\320\265\321\200\320\223\320\265\320\276\320\274\320\265\321\202\321\200\320\270\321\201\320\272\320\270.adoc" "b/mk/modules/ROOT/pages/commands/\320\245\320\270\320\277\320\265\321\200\320\223\320\265\320\276\320\274\320\265\321\202\321\200\320\270\321\201\320\272\320\270.adoc" index 39b7d32aa..837a04a7d 100644 --- "a/mk/modules/ROOT/pages/commands/\320\245\320\270\320\277\320\265\321\200\320\223\320\265\320\276\320\274\320\265\321\202\321\200\320\270\321\201\320\272\320\270.adoc" +++ "b/mk/modules/ROOT/pages/commands/\320\245\320\270\320\277\320\265\321\200\320\223\320\265\320\276\320\274\320\265\321\202\321\200\320\270\321\201\320\272\320\270.adoc" @@ -40,13 +40,13 @@ ifdef::env-github[:imagesdir: /mk/modules/ROOT/assets/images] Да се претпостави дека се избрани две топки од вкупно десет топки, од кои две се бели, без враќање на топките. -* `++ХиперГеометриски[10, 2, 2, 0, false]++` дава stem:[\frac\{28}\{45}], веројатноста за избирање на нула бело топки, -* `++ХиперГеометриски[10, 2, 2, 1, false]++` дава stem:[\frac\{16}\{45}], веројатноста за избирање на една бела топка, -* `++ХиперГеометриски[10, 2, 2, 2, false]++` дава stem:[\frac\{1}\{45}], веројатноста за изборање на бели топки, +* `++ХиперГеометриски[10, 2, 2, 0, false]++` дава stem:[\frac{28}{45}], веројатноста за избирање на нула бело топки, +* `++ХиперГеометриски[10, 2, 2, 1, false]++` дава stem:[\frac{16}{45}], веројатноста за избирање на една бела топка, +* `++ХиперГеометриски[10, 2, 2, 2, false]++` дава stem:[\frac{1}{45}], веројатноста за изборање на бели топки, * `++ХиперГеометриски[10, 2, 2, 3, false]++` дава _0_, веројатноста за избирање на три бели топчиња. -* `++ХиперГеометриски[10, 2, 2, 0, true]++` дава stem:[\frac\{28}\{45}], веројатноста за избирање на нула (или помалку) +* `++ХиперГеометриски[10, 2, 2, 0, true]++` дава stem:[\frac{28}{45}], веројатноста за избирање на нула (или помалку) Бела топки, -* `++ХиперГеометриски[10, 2, 2, 1, true]++` дава stem:[\frac\{44}\{45}], веројатноста за избирање на еден или помалку +* `++ХиперГеометриски[10, 2, 2, 1, true]++` дава stem:[\frac{44}{45}], веројатноста за избирање на еден или помалку бели топки, * `++ХиперГеометриски[10, 2, 2, 2, true]++` дава _1_, веројатноста на изборот се намалува или помалку бели топки се останати diff --git a/nb/modules/ROOT/pages/LaTeX.adoc b/nb/modules/ROOT/pages/LaTeX.adoc index 2fa37f3b2..67d86b8c5 100644 --- a/nb/modules/ROOT/pages/LaTeX.adoc +++ b/nb/modules/ROOT/pages/LaTeX.adoc @@ -41,7 +41,7 @@ Noen viktige LaTeX kommandoer forklares i tabellen under. Se i dokumentasjonen t |=== |LaTeX input |Resultat |a \cdot b |stem:[a \cdot b] -|\frac\{a}\{b} |stem:[\frac\{a}\{b}] +|\frac{a}{b} |stem:[\frac{a}{b}] |\sqrt\{x} |stem:[\sqrt\{x}] |\sqrt[n]\{x} |stem:[\sqrt[n]\{x}] |\vec\{v} |stem:[\vec\{v}] diff --git a/nb/modules/ROOT/pages/Matriser.adoc b/nb/modules/ROOT/pages/Matriser.adoc index 57ca70aa3..09fe9c9de 100644 --- a/nb/modules/ROOT/pages/Matriser.adoc +++ b/nb/modules/ROOT/pages/Matriser.adoc @@ -77,8 +77,8 @@ rad-echelon form (redusert trappeform). [EXAMPLE] ==== -\{\{1, 2}, \{3, 4}, \{5, 6}} * \{\{1, 2, 3}, \{4, 5, 6}} gir matrisen _stem:[\begin\{pmatrix} 9&12&15\\ 19&26&33\\ -29&40&51 \end\{pmatrix}]_. +\{\{1, 2}, \{3, 4}, \{5, 6}} * \{\{1, 2, 3}, \{4, 5, 6}} gir matrisen _stem:[\begin{pmatrix} 9&12&15\\ 19&26&33\\ +29&40&51 \end{pmatrix}]_. ==== @@ -92,7 +92,7 @@ rad-echelon form (redusert trappeform). [EXAMPLE] ==== -I GeoGebra vil\{\{1, 2, 3}, \{4, 5, 6}, \{7, 8, 9}} representere matrisen _stem:[\begin\{pmatrix} 1&2&3\\ 4&5&6\\ 7&8&9 -\end\{pmatrix}]_. +I GeoGebra vil\{\{1, 2, 3}, \{4, 5, 6}, \{7, 8, 9}} representere matrisen _stem:[\begin{pmatrix} 1&2&3\\ 4&5&6\\ 7&8&9 +\end{pmatrix}]_. ==== diff --git a/nb/modules/ROOT/pages/Navn_og_objekttekster.adoc b/nb/modules/ROOT/pages/Navn_og_objekttekster.adoc index ed77060ba..14fd816a7 100644 --- a/nb/modules/ROOT/pages/Navn_og_objekttekster.adoc +++ b/nb/modules/ROOT/pages/Navn_og_objekttekster.adoc @@ -76,7 +76,7 @@ helt til høyre i inntastingsfeltet. ==== Dersom du vil vise en fint formatert matematikktekst kan du bruke LaTex i objektteksten. For å vise en brøk som stem:[ -\frac\{a}\{b} ], må du skrive inn: *`++$\frac{a}{b}$++`*. +\frac{a}{b} ], må du skrive inn: *`++$\frac{a}{b}$++`*. ==== diff --git a/nb/modules/ROOT/pages/commands/BlandetTall.adoc b/nb/modules/ROOT/pages/commands/BlandetTall.adoc index 069b4b489..4fa5dfce2 100644 --- a/nb/modules/ROOT/pages/commands/BlandetTall.adoc +++ b/nb/modules/ROOT/pages/commands/BlandetTall.adoc @@ -12,9 +12,9 @@ BlandetTall[ ]:: [EXAMPLE] ==== -* `++BlandetTall[3.5]++` returnerer stem:[3 + \frac\{1}\{2}]. +* `++BlandetTall[3.5]++` returnerer stem:[3 + \frac{1}{2}]. * `++BlandetTall[12 / 3]++` returnerer _4_. -* `++BlandetTall[12 / 14]++` returnerer stem:[\frac\{6}\{7}]. +* `++BlandetTall[12 / 14]++` returnerer stem:[\frac{6}{7}]. ==== diff --git "a/nb/modules/ROOT/pages/commands/CL\303\270sninger.adoc" "b/nb/modules/ROOT/pages/commands/CL\303\270sninger.adoc" index e74dcc8f2..6609ac705 100644 --- "a/nb/modules/ROOT/pages/commands/CL\303\270sninger.adoc" +++ "b/nb/modules/ROOT/pages/commands/CL\303\270sninger.adoc" @@ -25,8 +25,8 @@ CLøsninger[ , ]:: [EXAMPLE] ==== -`++CLøsninger[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` gir stem:[\begin\{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - -ί\end\{pmatrix}], som er de komplekse løsningene til _y^2^ = x - 1_ og _x = 2 * y - 1_. +`++CLøsninger[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` gir stem:[\begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - +ί\end{pmatrix}], som er de komplekse løsningene til _y^2^ = x - 1_ og _x = 2 * y - 1_. ==== diff --git "a/nb/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" "b/nb/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" index 7879b00c3..db09b39e7 100644 --- "a/nb/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" +++ "b/nb/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" @@ -18,7 +18,7 @@ xref:/Grafikkfelt.adoc[grafikkfeltet]. [EXAMPLE] ==== -`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gir stem:[1 + \frac\{2}\{x - 1}] + stem:[\frac\{1}\{x^2 - 2x + 1}]. +`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gir stem:[1 + \frac{2}{x - 1}] + stem:[\frac{1}{x^2 - 2x + 1}]. ==== @@ -32,13 +32,13 @@ Delbrøkoppspalting[ , ]:: [EXAMPLE] ==== -`++Delbrøkoppspalting[a^2 / (a^2 - 2a + 1)]++` gir stem:[1 + \frac\{2}\{a - 1}] + stem:[\frac\{1}\{a^2 - 2a + 1}]. +`++Delbrøkoppspalting[a^2 / (a^2 - 2a + 1)]++` gir stem:[1 + \frac{2}{a - 1}] + stem:[\frac{1}{a^2 - 2a + 1}]. ==== [EXAMPLE] ==== -`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gir stem:[1 + \frac\{2}\{x - 1}] + stem:[\frac\{1}\{x^2 - 2x + 1}]. +`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gir stem:[1 + \frac{2}{x - 1}] + stem:[\frac{1}{x^2 - 2x + 1}]. ==== diff --git a/nb/modules/ROOT/pages/commands/Div.adoc b/nb/modules/ROOT/pages/commands/Div.adoc index 01144f883..0d1145a4b 100644 --- a/nb/modules/ROOT/pages/commands/Div.adoc +++ b/nb/modules/ROOT/pages/commands/Div.adoc @@ -17,7 +17,7 @@ Returnerer heltallskvotienten (heltallsdelen av resultatet) når tallet _a_ divi [EXAMPLE] ==== -Div[8,3] returnerer 2, fordi stem:[\frac\{8}\{3}=2+\frac\{2}\{3}]. +Div[8,3] returnerer 2, fordi stem:[\frac{8}{3}=2+\frac{2}{3}]. ==== diff --git a/nb/modules/ROOT/pages/commands/Element.adoc b/nb/modules/ROOT/pages/commands/Element.adoc index 7cf2f6186..277518405 100644 --- a/nb/modules/ROOT/pages/commands/Element.adoc +++ b/nb/modules/ROOT/pages/commands/Element.adoc @@ -27,7 +27,7 @@ Element[ , , ]:: ==== `++Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3]++` gir _-2_, som er elementet i andre rad og tredje kolonne i -stem:[\begin\{pmatrix}1&3&2\\0&3&-2\end\{pmatrix}]. +stem:[\begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}]. ==== @@ -71,7 +71,7 @@ Element[ , , ]:: ==== `++Element[{{a, b, c}, {d, e, f}}, 2, 3]++` gir _f_, som er elementet i andre rad og tredje kolonne i -stem:[\begin\{pmatrix}a&b&c\\d&e&f\end\{pmatrix}]. +stem:[\begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}]. ==== diff --git a/nb/modules/ROOT/pages/commands/EnhetsNormalvektor.adoc b/nb/modules/ROOT/pages/commands/EnhetsNormalvektor.adoc index 4c56ba72e..d4817ea0f 100644 --- a/nb/modules/ROOT/pages/commands/EnhetsNormalvektor.adoc +++ b/nb/modules/ROOT/pages/commands/EnhetsNormalvektor.adoc @@ -20,15 +20,15 @@ EnhetsNormalvektor[ ]:: [EXAMPLE] ==== -La stem:[v=\begin\{pmatrix}3\\4\end\{pmatrix}]. `++EnhetsNormalvektor[v]++` gir -_stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]_. +La stem:[v=\begin{pmatrix}3\\4\end{pmatrix}]. `++EnhetsNormalvektor[v]++` gir +_stem:[\begin{pmatrix}-0.8\\0.6\end{pmatrix}]_. ==== [EXAMPLE] ==== -`++EnhetsNormalvektor[3x + 4y = 5]++` gir _stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]_. +`++EnhetsNormalvektor[3x + 4y = 5]++` gir _stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]_. ==== @@ -48,7 +48,7 @@ EnhetsNormalvektor[ ]:: [EXAMPLE] ==== -`++EnhetsNormalvektor[(3,4)]++` gir stem:[\left(\frac\{-b}\{\sqrt\{a^\{2} + b^\{2} } },\frac\{a}\{\sqrt\{a^\{2} + b^\{2} -} }\right)=\left(-\frac\{4}\{5},\frac\{3}\{5}\right)]. +`++EnhetsNormalvektor[(3,4)]++` gir stem:[\left(\frac{-b}{\sqrt\{a^\{2} + b^\{2} } },\frac{a}{\sqrt\{a^\{2} + b^\{2} +} }\right)=\left(-\frac{4}{5},\frac{3}{5}\right)]. ==== diff --git a/nb/modules/ROOT/pages/commands/Enhetsvektor.adoc b/nb/modules/ROOT/pages/commands/Enhetsvektor.adoc index 083a401e7..ac03a5c82 100644 --- a/nb/modules/ROOT/pages/commands/Enhetsvektor.adoc +++ b/nb/modules/ROOT/pages/commands/Enhetsvektor.adoc @@ -21,15 +21,15 @@ Enhetsvektor[ ]:: [EXAMPLE] ==== -`++Enhetsvektor[3x + 4y = 5]++` gir _stem:[\begin\{pmatrix}0.8\\-0.6\end\{pmatrix}]_. +`++Enhetsvektor[3x + 4y = 5]++` gir _stem:[\begin{pmatrix}0.8\\-0.6\end{pmatrix}]_. ==== [EXAMPLE] ==== -La _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]. `++Enhetsvektor[v]++` gir_ -stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]__.__ +La _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]. `++Enhetsvektor[v]++` gir_ +stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]__.__ ==== @@ -41,14 +41,14 @@ Enhetsvektor[ ]:: [EXAMPLE] ==== -`++Enhetsvektor[(2, 4, 4)]++` gir _stem:[\left(\frac\{1}\{3}, \frac\{2}\{3}, \frac\{2}\{3}\right)]_. +`++Enhetsvektor[(2, 4, 4)]++` gir _stem:[\left(\frac{1}{3}, \frac{2}{3}, \frac{2}{3}\right)]_. ==== [EXAMPLE] ==== -`++Enhetsvektor[(a, b)]++` gir _stem:[\left(\frac\{a}\{\sqrt\{a^\{2} + b^\{2} } }, \frac\{b}\{\sqrt\{a^\{2} + b^\{2} } +`++Enhetsvektor[(a, b)]++` gir _stem:[\left(\frac{a}{\sqrt\{a^\{2} + b^\{2} } }, \frac{b}{\sqrt\{a^\{2} + b^\{2} } }\right)]_. ==== diff --git a/nb/modules/ROOT/pages/commands/Faktorer.adoc b/nb/modules/ROOT/pages/commands/Faktorer.adoc index a8b1c6f1c..4fc0b35b7 100644 --- a/nb/modules/ROOT/pages/commands/Faktorer.adoc +++ b/nb/modules/ROOT/pages/commands/Faktorer.adoc @@ -59,10 +59,10 @@ Faktorer[ ]:: [EXAMPLE] ==== -* `++Faktorer[1024]++`gir _\{\{2, 10}}_, vist som stem:[\begin\{pmatrix} 2&10 \end\{pmatrix}], siden stem:[1024 = +* `++Faktorer[1024]++`gir _\{\{2, 10}}_, vist som stem:[\begin{pmatrix} 2&10 \end{pmatrix}], siden stem:[1024 = 2^\{10}]. -** `++Faktorer[42]++` gir _\{\{2, 1}, \{3, 1}, \{7, 1}}_, vist som stem:[\begin\{pmatrix} 2&1\\ 3&1\\ 7&1 -\end\{pmatrix}], siden stem:[42 = 2^1 * 3^1 * 7^1]. +** `++Faktorer[42]++` gir _\{\{2, 1}, \{3, 1}, \{7, 1}}_, vist som stem:[\begin{pmatrix} 2&1\\ 3&1\\ 7&1 +\end{pmatrix}], siden stem:[42 = 2^1 * 3^1 * 7^1]. ==== @@ -84,7 +84,7 @@ xref:/commands/Faktoriser.adoc[Faktoriser]. [EXAMPLE] ==== -`++Faktorar[x^8 - 1]++` gir _\{\{x^4 + 1, 1}, \{x^2 + 1, 1}, \{x + 1, 1}, \{x - 1, 1}}_, vist som stem:[\begin\{pmatrix} -x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end\{pmatrix}]. +`++Faktorar[x^8 - 1]++` gir _\{\{x^4 + 1, 1}, \{x^2 + 1, 1}, \{x + 1, 1}, \{x - 1, 1}}_, vist som stem:[\begin{pmatrix} +x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end{pmatrix}]. ==== diff --git a/nb/modules/ROOT/pages/commands/FordelingBinomial.adoc b/nb/modules/ROOT/pages/commands/FordelingBinomial.adoc index 4e44ced4e..8a88df34b 100644 --- a/nb/modules/ROOT/pages/commands/FordelingBinomial.adoc +++ b/nb/modules/ROOT/pages/commands/FordelingBinomial.adoc @@ -27,28 +27,28 @@ FordelingBinomial[ , , , ==== Anta at *tre* datapakker blir overført over ei dårlig linje. Sannsynligheten for at en tilfeldig pakke som blir overført -over linjen ikke kommer fram er stem:[\frac\{1}\{10}], slik at sannsynligheten for at en tilfeldig pakke overføres uten -problem er stem:[\frac\{9}\{10}]. +over linjen ikke kommer fram er stem:[\frac{1}{10}], slik at sannsynligheten for at en tilfeldig pakke overføres uten +problem er stem:[\frac{9}{10}]. -* `++FordelingBinomial[3, 0.9, 0, false]++` gir _stem:[\frac\{1}\{1000}]_, som er sannsynligheten for at *ingen* av +* `++FordelingBinomial[3, 0.9, 0, false]++` gir _stem:[\frac{1}{1000}]_, som er sannsynligheten for at *ingen* av pakkene blir *overført korrekt*. -* `++FordelingBinomial[3, 0.9, 1, false]++` gir _stem:[\frac\{27}\{1000}]_, som er sannsynligheten for at *en av tre* +* `++FordelingBinomial[3, 0.9, 1, false]++` gir _stem:[\frac{27}{1000}]_, som er sannsynligheten for at *en av tre* pakker blir *overført korrekt*. -* `++FordelingBinomial[3, 0.9, 2, false]++` gir _stem:[\frac\{243}\{1000}]_, som er sannsynligheten for at *to av tre* +* `++FordelingBinomial[3, 0.9, 2, false]++` gir _stem:[\frac{243}{1000}]_, som er sannsynligheten for at *to av tre* pakker blir *overført korrekt*. -* `++FordelingBinomial[3, 0.9, 3, false]++` gir _stem:[\frac\{729}\{1000}]_, som er sannsynligheten for at *alle* +* `++FordelingBinomial[3, 0.9, 3, false]++` gir _stem:[\frac{729}{1000}]_, som er sannsynligheten for at *alle* pakkene blir *overført korrekt*. -* `++FordelingBinomial[3, 0.9, 0, true]++` gir _stem:[\frac\{1}\{1000}]_, som er sannsynligheten for at *ingen* av +* `++FordelingBinomial[3, 0.9, 0, true]++` gir _stem:[\frac{1}{1000}]_, som er sannsynligheten for at *ingen* av pakkene blir *overført korrekt*. -* `++FordelingBinomial[3, 0.9, 1, true]++` gir _stem:[\frac\{7}\{250}]_, som er sannsynligheten for at *maksimalt en av +* `++FordelingBinomial[3, 0.9, 1, true]++` gir _stem:[\frac{7}{250}]_, som er sannsynligheten for at *maksimalt en av tre* pakker blir *overført korrekt*. -* `++FordelingBinomial[3, 0.9, 2, true]++` gir _stem:[\frac\{271}\{1000}]_, som er sannsynligheten for at *maksimalt to +* `++FordelingBinomial[3, 0.9, 2, true]++` gir _stem:[\frac{271}{1000}]_, som er sannsynligheten for at *maksimalt to av tre* pakker blir *overført korrekt*. * `++FordelingBinomial[3, 0.9, 3, true]++` gir _1_, som er sannsynligheten for at *maks tre av tre* pakker blir diff --git a/nb/modules/ROOT/pages/commands/FordelingCauchy.adoc b/nb/modules/ROOT/pages/commands/FordelingCauchy.adoc index 9690cf5dc..d212b74ce 100644 --- a/nb/modules/ROOT/pages/commands/FordelingCauchy.adoc +++ b/nb/modules/ROOT/pages/commands/FordelingCauchy.adoc @@ -55,6 +55,6 @@ FordelingCauchy[ , , ]:: [EXAMPLE] ==== -`++FordelingCauchy[1, 2, 3]++` gir _stem:[\frac\{3}\{4}]_. +`++FordelingCauchy[1, 2, 3]++` gir _stem:[\frac{3}{4}]_. ==== diff --git a/nb/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc b/nb/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc index f855ac502..9f7ba904f 100644 --- a/nb/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc +++ b/nb/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc @@ -65,16 +65,16 @@ kumulativ> ]:: Anta at du har en urne med ti baller, to av disse ballene er hvite. Du trekker så ut to baller, uten tilbakelegging. -* `++FordelingHypergeometrisk[10, 2, 2, 0, false]++` gir stem:[\frac\{28}\{45}], som er sannsynligheten for å trekke +* `++FordelingHypergeometrisk[10, 2, 2, 0, false]++` gir stem:[\frac{28}{45}], som er sannsynligheten for å trekke null hvite baller. -* `++FordelingHypergeometrisk[10, 2, 2, 1, false]++`gir stem:[\frac\{16}\{45}], som er sannsynligheten for å trekke +* `++FordelingHypergeometrisk[10, 2, 2, 1, false]++`gir stem:[\frac{16}{45}], som er sannsynligheten for å trekke akkurat en hvit ball. -* `++FordelingHypergeometrisk[10, 2, 2, 2, false]++` gir stem:[\frac\{1}\{45}], som er sannsynligheten for å trekke +* `++FordelingHypergeometrisk[10, 2, 2, 2, false]++` gir stem:[\frac{1}{45}], som er sannsynligheten for å trekke akkurat to hvite baller. * `++FordelingHypergeometrisk[10, 2, 2, 3, false]++` gir _0_, som er sannsynligheten for å trekke tre hvite baller. -* `++FordelingHypergeometrisk[10, 2, 2, 0, true]++` gir stem:[\frac\{28}\{45}], som er sannsynligheten for å trekke null +* `++FordelingHypergeometrisk[10, 2, 2, 0, true]++` gir stem:[\frac{28}{45}], som er sannsynligheten for å trekke null (eller færre) hvite baller. -* `++FordelingHypergeometrisk[10, 2, 2, 1, true]++` gir stem:[\frac\{44}\{45}], som er sannsynligheten for å trekke en +* `++FordelingHypergeometrisk[10, 2, 2, 1, true]++` gir stem:[\frac{44}{45}], som er sannsynligheten for å trekke en eller færre hvite baller. * `++FordelingHypergeometrisk[10, 2, 2, 2, true]++` gir _1_, som er sannsynligheten for å trekke to eller færre hvite baller. diff --git a/nb/modules/ROOT/pages/commands/Frekvens.adoc b/nb/modules/ROOT/pages/commands/Frekvens.adoc index 36752533b..5ce91d5b6 100644 --- a/nb/modules/ROOT/pages/commands/Frekvens.adoc +++ b/nb/modules/ROOT/pages/commands/Frekvens.adoc @@ -90,8 +90,8 @@ Frekvens[ , ]:: ==== La `++liste1 = {"a", "b", "b", "c", "c", "c", "c"}++` og `++liste2 = {"a", "b", "a", "a", "c", "c", "d"}++`. Da vil -`++Frekvens[ liste1, liste2 ]++` returnere matrisen stem:[\begin\{pmatrix} 1 & 0 & 0 & 0\\ 1 &1 & 0 &0 \\ 1 & 0 & 2 & 1 -\\ \end\{pmatrix}] +`++Frekvens[ liste1, liste2 ]++` returnere matrisen stem:[\begin{pmatrix} 1 & 0 & 0 & 0\\ 1 &1 & 0 &0 \\ 1 & 0 & 2 & 1 +\\ \end{pmatrix}] ==== diff --git a/nb/modules/ROOT/pages/commands/GeometriskSted.adoc b/nb/modules/ROOT/pages/commands/GeometriskSted.adoc index ef4bacd91..abd289909 100644 --- a/nb/modules/ROOT/pages/commands/GeometriskSted.adoc +++ b/nb/modules/ROOT/pages/commands/GeometriskSted.adoc @@ -58,7 +58,7 @@ funksjonsgraf. GeometriskSted[ , ]:: Gir det geometriske stedet som samsvarer med retningsdiagrammet i det gitte punktet. GeometriskSted[ , ]:: - Gir det geometriske stedet som samsvarer medl løsningen av differensiallikningen stem:[\frac\{dy}\{dx}=f(x,y)]. + Gir det geometriske stedet som samsvarer medl løsningen av differensiallikningen stem:[\frac{dy}{dx}=f(x,y)]. Løsningen blir funnet numerisk. [NOTE] diff --git a/nb/modules/ROOT/pages/commands/Gjennomsnitt.adoc b/nb/modules/ROOT/pages/commands/Gjennomsnitt.adoc index 4a8c6df9c..7d8ae0e56 100644 --- a/nb/modules/ROOT/pages/commands/Gjennomsnitt.adoc +++ b/nb/modules/ROOT/pages/commands/Gjennomsnitt.adoc @@ -16,8 +16,8 @@ Gjennomsnitt[ ]:: [EXAMPLE] ==== -* `++Gjennomsnitt[{1, 2, 3}]++` gir 2, som er stem:[\frac\{1+2+3}\{3}] -* `++Gjennomsnitt[{2, 5, 3, 7}]++` gir 4.25, som er stem:[\frac\{2+5+3+7}\{4}] +* `++Gjennomsnitt[{1, 2, 3}]++` gir 2, som er stem:[\frac{1+2+3}{3}] +* `++Gjennomsnitt[{2, 5, 3, 7}]++` gir 4.25, som er stem:[\frac{2+5+3+7}{4}] ==== @@ -28,7 +28,7 @@ Gjennomsnitt[ , ]:: ==== La _L = \{1, 2, 3, 4}_ og _F = \{2, 1, 1, 5}_. `++Gjennomsnitt[L, F]++` gir da 3, som er -stem:[\frac\{1\cdot2+2+3+4\cdot5}\{9}] +stem:[\frac{1\cdot2+2+3+4\cdot5}{9}] ==== @@ -56,6 +56,6 @@ Gjennomsnitt[ ]:: [EXAMPLE] ==== -`++Gjennomsnitt[{2, 5, 3, 7}]++` gir stem:[\frac\{17}\{4}] +`++Gjennomsnitt[{2, 5, 3, 7}]++` gir stem:[\frac{17}{4}] ==== diff --git a/nb/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc b/nb/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc index fed20d340..5e55e8e79 100644 --- a/nb/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc +++ b/nb/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc @@ -16,10 +16,10 @@ HarmoniskGjennomsnitt[ ]:: [EXAMPLE] ==== -* `++HarmoniskGjennomsnitt[{1, 2, 3}]++` gir 1.64, som er stem:[ \frac\{3}\{\frac\{1}\{1}+\frac\{1}\{2}+\frac\{1}\{3} } +* `++HarmoniskGjennomsnitt[{1, 2, 3}]++` gir 1.64, som er stem:[ \frac{3}{\frac{1}{1}+\frac{1}{2}+\frac{1}{3} } ] * `++HarmoniskGjennomsnitt[{2, 5, 3, 7}]++` gir 3.40, som er stem:[ -\frac\{4}\{\frac\{1}\{2}+\frac\{1}\{5}+\frac\{1}\{3}+\frac\{1}\{7} } ] +\frac{4}{\frac{1}{2}+\frac{1}{5}+\frac{1}{3}+\frac{1}{7} } ] ==== diff --git a/nb/modules/ROOT/pages/commands/Identitetsmatrise.adoc b/nb/modules/ROOT/pages/commands/Identitetsmatrise.adoc index f3e209e0c..c41339882 100644 --- a/nb/modules/ROOT/pages/commands/Identitetsmatrise.adoc +++ b/nb/modules/ROOT/pages/commands/Identitetsmatrise.adoc @@ -19,7 +19,7 @@ Identitetsmatrise[ ]:: ==== - `++Identitetsmatrise[3]++` gir matrisen _stem:[\begin\{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end\{pmatrix}]_. + `++Identitetsmatrise[3]++` gir matrisen _stem:[\begin{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end{pmatrix}]_. ==== [NOTE] @@ -34,7 +34,7 @@ Identitetsmatrise[ ]:: [EXAMPLE] ==== -`++Identitetsmatrise[3]++` gir matrisen _stem:[\begin\{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end\{pmatrix}]_. +`++Identitetsmatrise[3]++` gir matrisen _stem:[\begin{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end{pmatrix}]_. ==== diff --git a/nb/modules/ROOT/pages/commands/ImplisittDerivert.adoc b/nb/modules/ROOT/pages/commands/ImplisittDerivert.adoc index 7f5ee8661..4d1c3b130 100644 --- a/nb/modules/ROOT/pages/commands/ImplisittDerivert.adoc +++ b/nb/modules/ROOT/pages/commands/ImplisittDerivert.adoc @@ -41,8 +41,8 @@ ImplisittDerivert[ , , ]:: [EXAMPLE] ==== -* `++ImplisittDerivert[x^2 + y^2, y, x]++` gir _-stem:[\frac\{x}\{y}]_ -* `++ImplisittDerivert[x^2 + y^2, x, y]++` gir _-stem:[\frac\{y}\{x}]_ +* `++ImplisittDerivert[x^2 + y^2, y, x]++` gir _-stem:[\frac{x}{y}]_ +* `++ImplisittDerivert[x^2 + y^2, x, y]++` gir _-stem:[\frac{y}{x}]_ ==== diff --git a/nb/modules/ROOT/pages/commands/Integral.adoc b/nb/modules/ROOT/pages/commands/Integral.adoc index 008074ffe..9a7ef75a2 100644 --- a/nb/modules/ROOT/pages/commands/Integral.adoc +++ b/nb/modules/ROOT/pages/commands/Integral.adoc @@ -14,7 +14,7 @@ Integral[ , , , ]:: [EXAMPLE] ==== -`++Integral[x^3]++` returnerer stem:[\frac\{x^4}\{4}]. +`++Integral[x^3]++` returnerer stem:[\frac{x^4}{4}]. ==== @@ -53,7 +53,7 @@ Integral[ , , , ]:: [EXAMPLE] ==== -`++Integral[cos(a t), t]++` gir stem:[\frac\{sin(a t)}\{a} + c_1]. +`++Integral[cos(a t), t]++` gir stem:[\frac{sin(a t)}{a} + c_1]. ==== diff --git a/nb/modules/ROOT/pages/commands/Invers.adoc b/nb/modules/ROOT/pages/commands/Invers.adoc index dd4023661..4083e2bc7 100644 --- a/nb/modules/ROOT/pages/commands/Invers.adoc +++ b/nb/modules/ROOT/pages/commands/Invers.adoc @@ -38,8 +38,8 @@ Invers[ ]:: [EXAMPLE] ==== -`++Invers[{{1, 2}, {3, 4}}]++` gir stem:[ \begin\{pmatrix} -2 & 1\\ 1.5 & -0.5 \end\{pmatrix} , som er den inverse -matrisen til \begin\{pmatrix} 1 & 2\\ 3 & 4 \end\{pmatrix} ]. +`++Invers[{{1, 2}, {3, 4}}]++` gir stem:[ \begin{pmatrix} -2 & 1\\ 1.5 & -0.5 \end{pmatrix} , som er den inverse +matrisen til \begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix} ]. ==== @@ -54,15 +54,15 @@ Invers[ ]:: ==== - `++Invers[(x + 1) / (x + 2)]++` som gir stem:[\frac\{-2x+1}\{x-1}]. + `++Invers[(x + 1) / (x + 2)]++` som gir stem:[\frac{-2x+1}{x-1}]. ==== [EXAMPLE] ==== -`++Invers[{{a, b}, {c, d}}]++` gir stem:[ \begin\{pmatrix} \frac\{d}\{ad- bc} & \frac\{-b}\{ad- bc}\\ \frac\{-c}\{ad- -bc}& \frac\{a}\{ ad- bc} \end\{pmatrix} , som er den inverse matrisen til \begin\{pmatrix} a & b\\ c & d \end\{pmatrix} +`++Invers[{{a, b}, {c, d}}]++` gir stem:[ \begin{pmatrix} \frac{d}{ad- bc} & \frac{-b}{ad- bc}\\ \frac{-c}{ad- +bc}& \frac{a}{ ad- bc} \end{pmatrix} , som er den inverse matrisen til \begin{pmatrix} a & b\\ c & d \end{pmatrix} ]. ==== diff --git a/nb/modules/ROOT/pages/commands/KjiKvadrat.adoc b/nb/modules/ROOT/pages/commands/KjiKvadrat.adoc index 314850a8a..30145e4b2 100644 --- a/nb/modules/ROOT/pages/commands/KjiKvadrat.adoc +++ b/nb/modules/ROOT/pages/commands/KjiKvadrat.adoc @@ -27,7 +27,7 @@ KjiKvadrat[ , ] [EXAMPLE] ==== -`++KjiKvadrat[4, 3]++` gir stem:[\gamma(2, \frac\{3}\{2})], som er tilnærmet lik _0.44_. +`++KjiKvadrat[4, 3]++` gir stem:[\gamma(2, \frac{3}{2})], som er tilnærmet lik _0.44_. ==== diff --git a/nb/modules/ROOT/pages/commands/Kryssforhold.adoc b/nb/modules/ROOT/pages/commands/Kryssforhold.adoc index 8d8d4b910..bdd614845 100644 --- a/nb/modules/ROOT/pages/commands/Kryssforhold.adoc +++ b/nb/modules/ROOT/pages/commands/Kryssforhold.adoc @@ -5,7 +5,7 @@ ifdef::env-github[:imagesdir: /nb/modules/ROOT/assets/images] Kryssforhold[ , , , ] Returnerer kryssforholdet _λ_ til fire punkter som ligger på ei rett linje. Kryssforholdet _λ_ er definert som stem:[ -λ=\frac\{Delingsforholdet[B,C,D]}\{Delingsforholdet[A,C,D]}]. +λ=\frac{Delingsforholdet[B,C,D]}{Delingsforholdet[A,C,D]}]. [NOTE] ==== diff --git "a/nb/modules/ROOT/pages/commands/L\303\270s.adoc" "b/nb/modules/ROOT/pages/commands/L\303\270s.adoc" index d4efa2cfd..d44791c18 100644 --- "a/nb/modules/ROOT/pages/commands/L\303\270s.adoc" +++ "b/nb/modules/ROOT/pages/commands/L\303\270s.adoc" @@ -28,7 +28,7 @@ Løs[ , ]:: [EXAMPLE] ==== -`++Løs[x * a^2 = 4a, a]++` gir stem:[\\{a = \frac\{4}\{x}, a = 0\}], som er løsingene av _x a^2^ = 4a_. +`++Løs[x * a^2 = 4a, a]++` gir stem:[\\{a = \frac{4}{x}, a = 0\}], som er løsingene av _x a^2^ = 4a_. ==== diff --git "a/nb/modules/ROOT/pages/commands/L\303\270sninger.adoc" "b/nb/modules/ROOT/pages/commands/L\303\270sninger.adoc" index e0e733acf..e3b00bff6 100644 --- "a/nb/modules/ROOT/pages/commands/L\303\270sninger.adoc" +++ "b/nb/modules/ROOT/pages/commands/L\303\270sninger.adoc" @@ -23,16 +23,16 @@ Løsninger[ , ]:: ==== * `++Løsninger[{x = 4 x + y , y + x = 2}, {x, y}]++` gir _\{\{-1, 3}}_, som er den eneste løsningen av _x = 4x + y_ and -_y + x = 2_. Løsningen blir vist som stem:[\begin\{pmatrix} -1&3 \end\{pmatrix}]. +_y + x = 2_. Løsningen blir vist som stem:[\begin{pmatrix} -1&3 \end{pmatrix}]. ** `++Løsninger[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]++` gir _\{\{0, 3}, \{-3, 6}}_, som blir vist som -stem:[\begin\{pmatrix} 0&3\\ -3&6 \end\{pmatrix}]. +stem:[\begin{pmatrix} 0&3\\ -3&6 \end{pmatrix}]. ==== [EXAMPLE] ==== -`++Løsninger[x * a^2 = 4a, a]++` gir stem:[\\{\frac\{4}\{x},0\}], som er løsningene av _x a^2^ = 4a_. +`++Løsninger[x * a^2 = 4a, a]++` gir stem:[\\{\frac{4}{x},0\}], som er løsningene av _x a^2^ = 4a_. ==== diff --git a/nb/modules/ROOT/pages/commands/Median.adoc b/nb/modules/ROOT/pages/commands/Median.adoc index 7c622641c..fa99d7390 100644 --- a/nb/modules/ROOT/pages/commands/Median.adoc +++ b/nb/modules/ROOT/pages/commands/Median.adoc @@ -49,7 +49,7 @@ Median[ ]:: ==== * `++Median[{1, 2, 3}]++` gir 2 -* `++Median[{1, 1, 8, 8}]++` gir stem:[\frac\{9}\{2}] +* `++Median[{1, 1, 8, 8}]++` gir stem:[\frac{9}{2}] ==== diff --git a/nb/modules/ROOT/pages/commands/Mod.adoc b/nb/modules/ROOT/pages/commands/Mod.adoc index b0f03aa05..46ad54f00 100644 --- a/nb/modules/ROOT/pages/commands/Mod.adoc +++ b/nb/modules/ROOT/pages/commands/Mod.adoc @@ -16,7 +16,7 @@ Mod[ , ]:: [EXAMPLE] ==== -`++Mod[9, 4]++` returnerer _1_, ettersom stem:[\frac\{9}\{4}=2+\frac\{1}\{4}] (her er stem:[\frac\{1}\{4} resten]). +`++Mod[9, 4]++` returnerer _1_, ettersom stem:[\frac{9}{4}=2+\frac{1}{4}] (her er stem:[\frac{1}{4} resten]). ==== @@ -38,7 +38,7 @@ Mod[ , ]:: [EXAMPLE] ==== -`++Mod[9, 4]++` returnerer _1_, ettersom stem:[\frac\{9}\{4}=2+\frac\{1}\{4}] (her er stem:[\frac\{1}\{4} resten]. +`++Mod[9, 4]++` returnerer _1_, ettersom stem:[\frac{9}{4}=2+\frac{1}{4}] (her er stem:[\frac{1}{4} resten]. ==== diff --git a/nb/modules/ROOT/pages/commands/NCr.adoc b/nb/modules/ROOT/pages/commands/NCr.adoc index f3b52e915..6519b37bd 100644 --- a/nb/modules/ROOT/pages/commands/NCr.adoc +++ b/nb/modules/ROOT/pages/commands/NCr.adoc @@ -16,7 +16,7 @@ Beregner binomialkoeffisienten stem:[ n \choose r ]. ==== `++nCr[5,3]++` gir verdien -stem:[\frac\{5!}\{3!(5-3)!}=\frac\{5!}\{3!2!}=\frac\{5*4*3*2*1}\{3*2*1*2*1}=\frac\{5*4}\{2}=5*2=10]. +stem:[\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{5*4*3*2*1}{3*2*1*2*1}=\frac{5*4}{2}=5*2=10]. ==== diff --git a/nb/modules/ROOT/pages/commands/ParametriskDerivert.adoc b/nb/modules/ROOT/pages/commands/ParametriskDerivert.adoc index 2076cb583..da90e3a44 100644 --- a/nb/modules/ROOT/pages/commands/ParametriskDerivert.adoc +++ b/nb/modules/ROOT/pages/commands/ParametriskDerivert.adoc @@ -18,8 +18,8 @@ ParametriskDerivert[ ]:: ==== * `++ParametriskDerivert[Kurve[2t, t², t, 0, 10]]++` gir den parametriske kurven _(x(t) = 2t, y(t) = t)_. -* Kurven som er gitt som argument til kommandoen er funksjonen _f(x) = stem:[ \frac\{x²}\{4}]_, og resultatet er _f_ sin -deriverte _f'(x) = stem:[ \frac\{x}\{2}]._ +* Kurven som er gitt som argument til kommandoen er funksjonen _f(x) = stem:[ \frac{x²}{4}]_, og resultatet er _f_ sin +deriverte _f'(x) = stem:[ \frac{x}{2}]._ ==== diff --git a/nb/modules/ROOT/pages/commands/RMS.adoc b/nb/modules/ROOT/pages/commands/RMS.adoc index ffe3c01a6..b7af2459c 100644 --- a/nb/modules/ROOT/pages/commands/RMS.adoc +++ b/nb/modules/ROOT/pages/commands/RMS.adoc @@ -16,6 +16,6 @@ RMS[ ]:: [EXAMPLE] ==== -`++RMS[{1, 2, 3, 4}]++` gir 2.74 som er stem:[\sqrt\{\frac\{1}\{4}(1^2+2^2+3^2+4^2)}]. +`++RMS[{1, 2, 3, 4}]++` gir 2.74 som er stem:[\sqrt\{\frac{1}{4}(1^2+2^2+3^2+4^2)}]. ==== diff --git a/nb/modules/ROOT/pages/commands/RasjonalNevner.adoc b/nb/modules/ROOT/pages/commands/RasjonalNevner.adoc index ecd9e61cc..4f455ee27 100644 --- a/nb/modules/ROOT/pages/commands/RasjonalNevner.adoc +++ b/nb/modules/ROOT/pages/commands/RasjonalNevner.adoc @@ -18,7 +18,7 @@ RasjonalNevner[ ]:: [EXAMPLE] ==== -* `++RasjonalNevner[3.5]++` gir stem:[\frac\{7}\{2}]. +* `++RasjonalNevner[3.5]++` gir stem:[\frac{7}{2}]. * `++RasjonalNevner[1/sqrt(2)]++` gir stem:[\frac\{\sqrt\{2} }\{2}]. ==== diff --git a/nb/modules/ROOT/pages/commands/RegLogist.adoc b/nb/modules/ROOT/pages/commands/RegLogist.adoc index a486bea29..b20229158 100644 --- a/nb/modules/ROOT/pages/commands/RegLogist.adoc +++ b/nb/modules/ROOT/pages/commands/RegLogist.adoc @@ -11,12 +11,12 @@ image:Ambox_content.png[image,width=40,height=40] |=== RegLogist[ ]:: - Finner regresjonskurven i form av en logistisk funksjon stem:[\frac\{a}\{1+b\cdot e^\{-kx}}] . + Finner regresjonskurven i form av en logistisk funksjon stem:[\frac{a}{1+b\cdot e^\{-kx}}] . [EXAMPLE] ==== -`++RegLogist[{(1, 1), (2, 2), (3, 3)}]++` gir stem:[\frac\{4}\{1+9e^\{-1.099x} } ] . +`++RegLogist[{(1, 1), (2, 2), (3, 3)}]++` gir stem:[\frac{4}{1+9e^\{-1.099x} } ] . ==== diff --git a/nb/modules/ROOT/pages/commands/RektangelSum.adoc b/nb/modules/ROOT/pages/commands/RektangelSum.adoc index ef51bdf94..10a2ad990 100644 --- a/nb/modules/ROOT/pages/commands/RektangelSum.adoc +++ b/nb/modules/ROOT/pages/commands/RektangelSum.adoc @@ -13,7 +13,7 @@ image:Ambox_content.png[image,width=40,height=40] RektangelSum[ , , , , ]:: Kommandoen returnerer en tilnærming til arealet under grafen til funksjonen. Intervallet [_a_, _b_] deles opp i _n_ delintervall med bredde _(a - b)/n_. I hvert delintervall tegnes ett rektangel med bredde lik intervallbredden og - høyde bestemt av funksjonsverdien for én _x_-verdi lik stem:[x_0 + (a-b)\frac\{d}\{n}], der stem:[x_0] er _x_-verdien + høyde bestemt av funksjonsverdien for én _x_-verdi lik stem:[x_0 + (a-b)\frac{d}{n}], der stem:[x_0] er _x_-verdien til starten på intervallet. Kommandoen returnerer summen av arealet til alle rektanglene. [EXAMPLE] @@ -28,7 +28,7 @@ Høyden til det andre rektangelet er stem:[f(0+2\cdot0.6)=f(1.2)=1.2^2+3\cdot 1. Arealet som vert returnert er: stem:[2(2.24+9.04)=22.56]. -Det eksakte arealet av arealet mellom f(x) og x-aksen er `++Integral[f, -2, 2]]++` = 21.33 (evt. stem:[\frac\{64}\{3}] i +Det eksakte arealet av arealet mellom f(x) og x-aksen er `++Integral[f, -2, 2]]++` = 21.33 (evt. stem:[\frac{64}{3}] i CAS-delen). ==== diff --git a/nb/modules/ROOT/pages/commands/Sum.adoc b/nb/modules/ROOT/pages/commands/Sum.adoc index f19bae56c..60e47344c 100644 --- a/nb/modules/ROOT/pages/commands/Sum.adoc +++ b/nb/modules/ROOT/pages/commands/Sum.adoc @@ -74,6 +74,6 @@ Sum[ , , , ]:: * `++Sum[i^2, i, 1, 3]++` gir _14_. * `++Sum[r^i, i, 0, n]++` gir _stem:[\frac\{r^\{n+1} - 1}\{r - 1}]_. -* `++Sum[(1/3)^i, i, 0, inf]++` gir _stem:[\frac\{3}\{2}]_. +* `++Sum[(1/3)^i, i, 0, inf]++` gir _stem:[\frac{3}{2}]_. ==== diff --git a/nb/modules/ROOT/pages/commands/Sxx.adoc b/nb/modules/ROOT/pages/commands/Sxx.adoc index 29288148f..d56d75684 100644 --- a/nb/modules/ROOT/pages/commands/Sxx.adoc +++ b/nb/modules/ROOT/pages/commands/Sxx.adoc @@ -11,9 +11,9 @@ image:Ambox_content.png[image,width=40,height=40] |=== Sxx[ ]:: - Finner den statistiske størrelsen stem:[\sum x^2 - \frac\{(\sum x)^2}\{n}] fra tallene i listen. + Finner den statistiske størrelsen stem:[\sum x^2 - \frac{(\sum x)^2}{n}] fra tallene i listen. Sxx[ ]:: - Finner den statistiske størrelsen stem:[\sum x^2 - \frac\{(\sum x)^2}\{n}] fra _x_-koordinatene til punktene i listen. + Finner den statistiske størrelsen stem:[\sum x^2 - \frac{(\sum x)^2}{n}] fra _x_-koordinatene til punktene i listen. [NOTE] ==== diff --git a/nb/modules/ROOT/pages/commands/Sxy.adoc b/nb/modules/ROOT/pages/commands/Sxy.adoc index 470fde333..f58d468a2 100644 --- a/nb/modules/ROOT/pages/commands/Sxy.adoc +++ b/nb/modules/ROOT/pages/commands/Sxy.adoc @@ -11,11 +11,11 @@ image:Ambox_content.png[image,width=40,height=40] |=== Sxy[ ]:: - Finner den statistiske størrelsen stem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}] fra _x_- og _y_-koordinatene til + Finner den statistiske størrelsen stem:[\sum xy - \frac{(\sum x) (\sum y)}{n}] fra _x_- og _y_-koordinatene til punktene i listen. Sxy[ , ]:: - Finner den statistiske størrelsen stem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}] fra tallene i de to listene. + Finner den statistiske størrelsen stem:[\sum xy - \frac{(\sum x) (\sum y)}{n}] fra tallene i de to listene. [NOTE] ==== diff --git a/nb/modules/ROOT/pages/commands/Syy.adoc b/nb/modules/ROOT/pages/commands/Syy.adoc index 9eecf6c76..16e2b20ee 100644 --- a/nb/modules/ROOT/pages/commands/Syy.adoc +++ b/nb/modules/ROOT/pages/commands/Syy.adoc @@ -11,7 +11,7 @@ image:Ambox_content.png[image,width=40,height=40] |=== Syy[ ]:: - Finner den statistiske størrelsen stem:[ \sum y^2 -\frac\{ (\sum y)^2}\{n}] fra _y_-koordinatene til punktene i + Finner den statistiske størrelsen stem:[ \sum y^2 -\frac{ (\sum y)^2}{n}] fra _y_-koordinatene til punktene i listen. [NOTE] diff --git a/nb/modules/ROOT/pages/commands/Taylorpolynom.adoc b/nb/modules/ROOT/pages/commands/Taylorpolynom.adoc index 87f6d697b..a11c95aa1 100644 --- a/nb/modules/ROOT/pages/commands/Taylorpolynom.adoc +++ b/nb/modules/ROOT/pages/commands/Taylorpolynom.adoc @@ -60,7 +60,7 @@ stem:[sin(x) cos(y)] om stem:[x = 0]. [EXAMPLE] ==== -`++Taylorpolynom[sin(x), 0, 3]++` gir stem:[x - \frac\{1}\{6 }x^3] som er Taylorrekken av tredje grad til stem:[sin(x)] +`++Taylorpolynom[sin(x), 0, 3]++` gir stem:[x - \frac{1}{6 }x^3] som er Taylorrekken av tredje grad til stem:[sin(x)] om stem:[x = 0]. ==== diff --git a/nb/modules/ROOT/pages/commands/TilEksponentiellForm.adoc b/nb/modules/ROOT/pages/commands/TilEksponentiellForm.adoc index 00e900554..e5cfd312d 100644 --- a/nb/modules/ROOT/pages/commands/TilEksponentiellForm.adoc +++ b/nb/modules/ROOT/pages/commands/TilEksponentiellForm.adoc @@ -18,7 +18,7 @@ TilEksponentiellForm[ ]:: [EXAMPLE] ==== -`++TilEksponentiellForm[1 + ί]++`gir stem:[\sqrt\{2}e^\{\frac\{i\pi}\{4}}]. +`++TilEksponentiellForm[1 + ί]++`gir stem:[\sqrt\{2}e^\{\frac{i\pi}{4}}]. ==== diff --git a/nb/modules/ROOT/pages/commands/TilPolarForm.adoc b/nb/modules/ROOT/pages/commands/TilPolarForm.adoc index 0cd0e6c24..19e89d761 100644 --- a/nb/modules/ROOT/pages/commands/TilPolarForm.adoc +++ b/nb/modules/ROOT/pages/commands/TilPolarForm.adoc @@ -18,7 +18,7 @@ TilPolarForm[ ]:: [EXAMPLE] ==== -`++TilPolarForm[{1, sqrt(3)}]++` gir _(2; stem:[\frac\{\pi}\{3}])_, som er polarkoordinatene til _(1, +`++TilPolarForm[{1, sqrt(3)}]++` gir _(2; stem:[\frac{\pi}{3}])_, som er polarkoordinatene til _(1, stem:[\sqrt\{3}])_. ==== @@ -26,7 +26,7 @@ stem:[\sqrt\{3}])_. [EXAMPLE] ==== -`++TilPolarForm[1 + sqrt(3) * ί]++` gir _(2; stem:[\frac\{\pi}\{3}])_, som er polarkoordinatene til _1 + +`++TilPolarForm[1 + sqrt(3) * ί]++` gir _(2; stem:[\frac{\pi}{3}])_, som er polarkoordinatene til _1 + stem:[\sqrt\{3}] * ί_. ==== @@ -52,7 +52,7 @@ TilPolarForm[ ]:: [EXAMPLE] ==== -`++TilPolarForm[{1, sqrt(3)}]++` gir _(2; stem:[\frac\{\pi}\{3}])_, som er polarkoordinatene til _(1, +`++TilPolarForm[{1, sqrt(3)}]++` gir _(2; stem:[\frac{\pi}{3}])_, som er polarkoordinatene til _(1, stem:[\sqrt\{3}])_. ==== @@ -60,7 +60,7 @@ stem:[\sqrt\{3}])_. [EXAMPLE] ==== -`++TilPolarForm[1 + sqrt(3) * ί]++` gir _(2; stem:[\frac\{\pi}\{3}])_, som er polarkoordinatene til _1 + +`++TilPolarForm[1 + sqrt(3) * ί]++` gir _(2; stem:[\frac{\pi}{3}])_, som er polarkoordinatene til _1 + stem:[\sqrt\{3}] * ί_. ==== diff --git a/nb/modules/ROOT/pages/commands/Transponer.adoc b/nb/modules/ROOT/pages/commands/Transponer.adoc index dc1f73143..c36f2bea8 100644 --- a/nb/modules/ROOT/pages/commands/Transponer.adoc +++ b/nb/modules/ROOT/pages/commands/Transponer.adoc @@ -8,8 +8,8 @@ Transponer[ ]:: [EXAMPLE] ==== -`++Transponer[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` gir matrisen stem:[\begin\{pmatrix}1&4&7\\ 2&5&8\\ -3&6&9\end\{pmatrix}]. +`++Transponer[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` gir matrisen stem:[\begin{pmatrix}1&4&7\\ 2&5&8\\ +3&6&9\end{pmatrix}]. ==== @@ -21,6 +21,6 @@ Transponer[ ]:: [EXAMPLE] ==== -`++Transponer[{{a, b}, {c, d}}]++` gir matrisen stem:[\begin\{pmatrix}a&c\\b&d\end\{pmatrix}]. +`++Transponer[{{a, b}, {c, d}}]++` gir matrisen stem:[\begin{pmatrix}a&c\\b&d\end{pmatrix}]. ==== diff --git a/nb/modules/ROOT/pages/commands/VelgLinjetykkelse.adoc b/nb/modules/ROOT/pages/commands/VelgLinjetykkelse.adoc index 6b7568cb6..b62557bd4 100644 --- a/nb/modules/ROOT/pages/commands/VelgLinjetykkelse.adoc +++ b/nb/modules/ROOT/pages/commands/VelgLinjetykkelse.adoc @@ -12,7 +12,7 @@ image:Ambox_content.png[image,width=40,height=40] VelgLinjetykkelse[ , ]:: Setter linjetykkelsen til den gitte xref:/Linjer_og_akser.adoc[linjen] (eller linjene til objektet) til - stem:[\frac\{n}\{2}] piksler. _n_ må være mellom 0 og 13. + stem:[\frac{n}{2}] piksler. _n_ må være mellom 0 og 13. [NOTE] ==== diff --git a/nb/modules/ROOT/pages/commands/VenstreSum.adoc b/nb/modules/ROOT/pages/commands/VenstreSum.adoc index 4116d0ecb..beade1344 100644 --- a/nb/modules/ROOT/pages/commands/VenstreSum.adoc +++ b/nb/modules/ROOT/pages/commands/VenstreSum.adoc @@ -29,7 +29,7 @@ Høyden til det andre rektangelet er stem:[f(0)=0^2+3\cdot 0+4=4]. Arealet som returneres er: stem:[2\cdot2+2\cdot4=4+8=12]. -Det eksakte areal mellom _f(x)_ og x-akse er `++Integral[f, -2, 2]]++` = 21.33 (evt. stem:[\frac\{64}\{3}] i CAS-delen). +Det eksakte areal mellom _f(x)_ og x-akse er `++Integral[f, -2, 2]]++` = 21.33 (evt. stem:[\frac{64}{3}] i CAS-delen). ==== diff --git a/nb/modules/ROOT/pages/commands/Vinkel.adoc b/nb/modules/ROOT/pages/commands/Vinkel.adoc index 60c818bef..a85bbbc07 100644 --- a/nb/modules/ROOT/pages/commands/Vinkel.adoc +++ b/nb/modules/ROOT/pages/commands/Vinkel.adoc @@ -18,7 +18,7 @@ Vinkel[ ]:: Returnerer vinkelen mellom x-aksen og posisjonsvektoren til det gitte punktet. Vinkel[ ]:: Gjør tallet om til en vinkel. Dette er det samme som å konvertere radianer til grader(begrenset fra 0° og 360°). I - intervallet [0, 2π] tilsvarerer dette å gange tallet med stem:[\frac\{360}\{2π}]. + intervallet [0, 2π] tilsvarerer dette å gange tallet med stem:[\frac{360}{2π}]. Vinkel[Mangekant]:: Returnerer alle vinklene i en mangekant i positiv dreieretning (mot klokka). diff --git a/nl/modules/ROOT/pages/commands/DV.adoc b/nl/modules/ROOT/pages/commands/DV.adoc index f93c50654..25ea37e02 100644 --- a/nl/modules/ROOT/pages/commands/DV.adoc +++ b/nl/modules/ROOT/pages/commands/DV.adoc @@ -4,17 +4,17 @@ ifdef::env-github[:imagesdir: /nl/modules/ROOT/assets/images] DV( ):: Tracht de exacte oplossing te vinden van de differentiaalvergelijking (DV) van de eerste graad - stem:[\frac{dy}\{dx}(x)=f(x, y(x))]. + stem:[\frac{dy}{dx}(x)=f(x, y(x))]. DV( , ):: Tracht de exacte oplossing te vinden voor de differentiaalvergelijking (DV) van de eerste graad - stem:[\frac{dy}\{dx}(x)=f(x, y(x))] en gebruikt de oplossing die door het gegeven punt gaat. + stem:[\frac{dy}{dx}(x)=f(x, y(x))] en gebruikt de oplossing die door het gegeven punt gaat. DV( , , , , ):: - Lost de DV stem:[\frac{dy}\{dx}=f(x, y)] numeriek op, met een gegeven beginpunt, eindpunt en stapwaarde voor _x_. + Lost de DV stem:[\frac{dy}{dx}=f(x, y)] numeriek op, met een gegeven beginpunt, eindpunt en stapwaarde voor _x_. [EXAMPLE] ==== -`++DV(-x*y, x(A), y(A), 5, 0.1)++` lost stem:[\frac{dy}\{dx}=-xy] op, met _A_ als beginpunt. +`++DV(-x*y, x(A), y(A), 5, 0.1)++` lost stem:[\frac{dy}{dx}=-xy] op, met _A_ als beginpunt. ==== @@ -41,7 +41,7 @@ behoren. ==== DV( , , , , , ):: - Lost de DV stem:[\frac{dy}\{dx}=\frac{f(x, y)}\{g(x, y)}] op, met een gegeven with given beginpunt, maximale waarde + Lost de DV stem:[\frac{dy}{dx}=\frac{f(x, y)}\{g(x, y)}] op, met een gegeven with given beginpunt, maximale waarde van een interne parameter _t_ en stap voor _t_. Deeze versie van het commando kan werken wanneer de eerste versie niet werkt, bijvoorbeeld bij een oplossingsgrafiek met verticale punten. DV( , , , , , , , ):: @@ -57,7 +57,7 @@ DV( , , , , , , , ) [EXAMPLE] ==== -`++DV(-x, y, x(A), y(A), 5, 0.1)++` lost stem:[\frac{dy}\{dx}=- \frac{x}\{y} ] op met al beginpunt _A_. +`++DV(-x, y, x(A), y(A), 5, 0.1)++` lost stem:[\frac{dy}{dx}=- \frac{x}\{y} ] op met al beginpunt _A_. ==== diff --git a/nl/modules/ROOT/pages/commands/MeetkundigePlaats.adoc b/nl/modules/ROOT/pages/commands/MeetkundigePlaats.adoc index 8bcaac91d..972b58b7c 100644 --- a/nl/modules/ROOT/pages/commands/MeetkundigePlaats.adoc +++ b/nl/modules/ROOT/pages/commands/MeetkundigePlaats.adoc @@ -24,7 +24,7 @@ Het punt _P_ moet een punt op een object zijn (b.v.: rechte, lijnstuk, cirkel .. ==== Geeft de kromme van de meetkundige plaats volgens de oplossing van de differentiaalvergelijking -stem:[\frac{dy}\{dx}=f(x,y)]. De oplossing wordt numeriek berekend. +stem:[\frac{dy}{dx}=f(x,y)]. De oplossing wordt numeriek berekend. Meetkundige plaatsen zijn een specifiek type van objecten en zijn steeds xref:/Vrije_afhankelijke_en_hulpobjecten.adoc[hulpobjecten]. Ze zijn het resultaat van sommige diff --git a/nl/modules/ROOT/pages/commands/Raakveld.adoc b/nl/modules/ROOT/pages/commands/Raakveld.adoc index c5b4fb7a1..c2b65c31d 100644 --- a/nl/modules/ROOT/pages/commands/Raakveld.adoc +++ b/nl/modules/ROOT/pages/commands/Raakveld.adoc @@ -5,21 +5,21 @@ ifdef::env-github[:imagesdir: /nl/modules/ROOT/assets/images] Raakveld( ) Plot een https://en.wikipedia.org/wiki/Slope_field[Raakveld] voor de differentiaalvergelijking -stem:[\frac{dy}\{dx}=f(x,y)] +stem:[\frac{dy}{dx}=f(x,y)] Raakveld( , ) -Plot een raakveld voor de differentiaalvergelijking stem:[\frac{dy}\{dx}=f(x,y)] in een n op n rooster (wanneer het +Plot een raakveld voor de differentiaalvergelijking stem:[\frac{dy}{dx}=f(x,y)] in een n op n rooster (wanneer het tekenvenster vierkant is) of een kleiner rooster wanneer niet. De standaard is 40. Raakveld( , , ) -Plot een raakveld voor de differentiaalvergelijking stem:[\frac{dy}\{dx}=f(x,y)]. De Lengte Vermenigvuldiger 0, , , , , , ) -Plot een raakveld voor de differentiaalvergelijking stem:[\frac{dy}\{dx}=f(x,y)] binnen de afgebakende rechthoek +Plot een raakveld voor de differentiaalvergelijking stem:[\frac{dy}{dx}=f(x,y)] binnen de afgebakende rechthoek (i.p.v. het tekenvenster op te vullen). [EXAMPLE] diff --git a/nn/modules/ROOT/pages/LaTeX.adoc b/nn/modules/ROOT/pages/LaTeX.adoc index 96df9d455..70b022217 100644 --- a/nn/modules/ROOT/pages/LaTeX.adoc +++ b/nn/modules/ROOT/pages/LaTeX.adoc @@ -41,7 +41,7 @@ Nokre viktige LaTeX kommandoar vert forklart i tabellen under. Sjå i dokumentas |=== |LaTeX input |Resultat |a \cdot b |stem:[a \cdot b] -|\frac\{a}\{b} |stem:[\frac\{a}\{b}] +|\frac{a}{b} |stem:[\frac{a}{b}] |\sqrt\{x} |stem:[\sqrt\{x}] |\sqrt[n]\{x} |stem:[\sqrt[n]\{x}] |\vec\{v} |stem:[\vec\{v}] diff --git a/nn/modules/ROOT/pages/Matriser.adoc b/nn/modules/ROOT/pages/Matriser.adoc index e44448cf4..b537bee25 100644 --- a/nn/modules/ROOT/pages/Matriser.adoc +++ b/nn/modules/ROOT/pages/Matriser.adoc @@ -86,7 +86,7 @@ rad-echelon form. [EXAMPLE] ==== -*Døme:* I GeoGebra vil\{\{1, 2, 3}, \{4, 5, 6}, \{7, 8, 9}} representere matrisa _stem:[\begin\{pmatrix} 1&2&3\\ 4&5&6\\ -7&8&9 \end\{pmatrix}]_. +*Døme:* I GeoGebra vil\{\{1, 2, 3}, \{4, 5, 6}, \{7, 8, 9}} representere matrisa _stem:[\begin{pmatrix} 1&2&3\\ 4&5&6\\ +7&8&9 \end{pmatrix}]_. ==== diff --git a/nn/modules/ROOT/pages/Namn_og_objekttekstar.adoc b/nn/modules/ROOT/pages/Namn_og_objekttekstar.adoc index 3ddebb876..1223db2a6 100644 --- a/nn/modules/ROOT/pages/Namn_og_objekttekstar.adoc +++ b/nn/modules/ROOT/pages/Namn_og_objekttekstar.adoc @@ -66,7 +66,7 @@ trykke på det lille ikonet til høgre i feltet du skriv inn namnet eller objekt ==== *Døme:* Dersom du vil vise ein fint formatert matematikktekst kan du bruke LaTex i objektteksten. For å vise in brøk som -stem:[ \frac\{a}\{b} ], må du skrive inn: *`++$\frac{a}{b}$++`*. +stem:[ \frac{a}{b} ], må du skrive inn: *`++$\frac{a}{b}$++`*. ==== diff --git "a/nn/modules/ROOT/pages/commands/CL\303\270ysingar.adoc" "b/nn/modules/ROOT/pages/commands/CL\303\270ysingar.adoc" index 4a8580fcf..41c255502 100644 --- "a/nn/modules/ROOT/pages/commands/CL\303\270ysingar.adoc" +++ "b/nn/modules/ROOT/pages/commands/CL\303\270ysingar.adoc" @@ -20,8 +20,8 @@ løysingar. *Døme:* -`++CLøysingar[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` gjev stem:[\begin\{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - -ί\end\{pmatrix}], som er dei komplekse løysingane til _y^2^ = x - 1_ og _x = 2 * y - 1_. +`++CLøysingar[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` gjev stem:[\begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - +ί\end{pmatrix}], som er dei komplekse løysingane til _y^2^ = x - 1_ og _x = 2 * y - 1_. ==== diff --git "a/nn/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" "b/nn/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" index 59c7fd5ce..f2ade7cfc 100644 --- "a/nn/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" +++ "b/nn/modules/ROOT/pages/commands/Delbr\303\270koppspalting.adoc" @@ -11,7 +11,7 @@ Delbrøkoppspalting[ ]:: *Døme:* -`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gjev stem:[1 + \frac\{2}\{x - 1}] + stem:[\frac\{1}\{x^2 - 2x + 1}]. +`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gjev stem:[1 + \frac{2}{x - 1}] + stem:[\frac{1}{x^2 - 2x + 1}]. ==== @@ -27,7 +27,7 @@ Delbrøkoppspalting[ , ]:: *Døme:* -`++Delbrøkoppspalting[a^2 / (a^2 - 2a + 1)]++` gjev stem:[1 + \frac\{2}\{a - 1}] + stem:[\frac\{1}\{a^2 - 2a + 1}]. +`++Delbrøkoppspalting[a^2 / (a^2 - 2a + 1)]++` gjev stem:[1 + \frac{2}{a - 1}] + stem:[\frac{1}{a^2 - 2a + 1}]. ==== @@ -36,6 +36,6 @@ Delbrøkoppspalting[ , ]:: *Døme:* -`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gjev stem:[1 + \frac\{2}\{x - 1}] + stem:[\frac\{1}\{x^2 - 2x + 1}]. +`++Delbrøkoppspalting[x^2 / (x^2 - 2x + 1)]++` gjev stem:[1 + \frac{2}{x - 1}] + stem:[\frac{1}{x^2 - 2x + 1}]. ==== diff --git a/nn/modules/ROOT/pages/commands/EiningsNormalvektor.adoc b/nn/modules/ROOT/pages/commands/EiningsNormalvektor.adoc index 3b7eb124f..b75e34fb7 100644 --- a/nn/modules/ROOT/pages/commands/EiningsNormalvektor.adoc +++ b/nn/modules/ROOT/pages/commands/EiningsNormalvektor.adoc @@ -14,8 +14,8 @@ EiningsNormalvektor[ ]:: *Døme:* -La stem:[v=\begin\{pmatrix}3\\4\end\{pmatrix}]. `++EiningsNormalvektor[v]++` gjev -_stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]_. +La stem:[v=\begin{pmatrix}3\\4\end{pmatrix}]. `++EiningsNormalvektor[v]++` gjev +_stem:[\begin{pmatrix}-0.8\\0.6\end{pmatrix}]_. ==== @@ -24,7 +24,7 @@ _stem:[\begin\{pmatrix}-0.8\\0.6\end\{pmatrix}]_. *Døme:* -`++EiningsNormalvektor[3x + 4y = 5]++` gjev _stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]_. +`++EiningsNormalvektor[3x + 4y = 5]++` gjev _stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]_. ==== @@ -46,8 +46,8 @@ EiningsNormalvektor[ ]:: *Døme:* -* `++EiningsNormalvektor[(a,b)]++` gjev stem:[\left(\frac\{-b}\{\sqrt\{a^\{2} + b^\{2} } },\frac\{a}\{\sqrt\{a^\{2} + +* `++EiningsNormalvektor[(a,b)]++` gjev stem:[\left(\frac{-b}{\sqrt\{a^\{2} + b^\{2} } },\frac{a}{\sqrt\{a^\{2} + b^\{2} } }\right)]. -* `++EiningsNormalvektor[(3,4)]++` gjev stem:[\left(-\frac\{4}\{5},\frac\{3}\{5}\right)]. +* `++EiningsNormalvektor[(3,4)]++` gjev stem:[\left(-\frac{4}{5},\frac{3}{5}\right)]. ==== diff --git a/nn/modules/ROOT/pages/commands/Einingsvektor.adoc b/nn/modules/ROOT/pages/commands/Einingsvektor.adoc index 50fb397f5..b67e11171 100644 --- a/nn/modules/ROOT/pages/commands/Einingsvektor.adoc +++ b/nn/modules/ROOT/pages/commands/Einingsvektor.adoc @@ -15,7 +15,7 @@ Einingsvektor[ ]:: *Døme:* -`++Einingsvektor[3x + 4y = 5]++` gjev _stem:[\begin\{pmatrix}0.8\\-0.6\end\{pmatrix}]_. +`++Einingsvektor[3x + 4y = 5]++` gjev _stem:[\begin{pmatrix}0.8\\-0.6\end{pmatrix}]_. ==== @@ -24,8 +24,8 @@ Einingsvektor[ ]:: *Døme:* -La _v=stem:[\begin\{pmatrix}3\\4\end\{pmatrix}]. `++Einingsvektor[v]++` gjev_ -stem:[\begin\{pmatrix}0.6\\0.8\end\{pmatrix}]__.__ +La _v=stem:[\begin{pmatrix}3\\4\end{pmatrix}]. `++Einingsvektor[v]++` gjev_ +stem:[\begin{pmatrix}0.6\\0.8\end{pmatrix}]__.__ ==== @@ -39,10 +39,10 @@ Einingsvektor[ ]:: *Døme:* -* `++Einingsvektor[(a, b)]++` gjev _stem:[\left(\frac\{a}\{\sqrt\{a^\{2} + b^\{2} } }, \frac\{b}\{\sqrt\{a^\{2} + b^\{2} +* `++Einingsvektor[(a, b)]++` gjev _stem:[\left(\frac{a}{\sqrt\{a^\{2} + b^\{2} } }, \frac{b}{\sqrt\{a^\{2} + b^\{2} } }\right)]_. * {blank} + -`++Einingsvektor[(2, 4, 4)]++` gjev _stem:[\left(\frac\{1}\{3}, \frac\{2}\{3}, \frac\{2}\{3}\right)]_. +`++Einingsvektor[(2, 4, 4)]++` gjev _stem:[\left(\frac{1}{3}, \frac{2}{3}, \frac{2}{3}\right)]_. ==== diff --git "a/nn/modules/ROOT/pages/commands/EkteBr\303\270k.adoc" "b/nn/modules/ROOT/pages/commands/EkteBr\303\270k.adoc" index 1bfc9eda3..addd40822 100644 --- "a/nn/modules/ROOT/pages/commands/EkteBr\303\270k.adoc" +++ "b/nn/modules/ROOT/pages/commands/EkteBr\303\270k.adoc" @@ -12,9 +12,9 @@ EkteBrøk[ ]:: *Døme:* -* `++EkteBrøk[3.5]++` gjev stem:[3 + \frac\{1}\{2}]. +* `++EkteBrøk[3.5]++` gjev stem:[3 + \frac{1}{2}]. * `++Ektebrøk[12 / 3]++` gjev _4_. -* `++EkteBrøk[12 / 14]++` gjev stem:[\frac\{6}\{7}]. +* `++EkteBrøk[12 / 14]++` gjev stem:[\frac{6}{7}]. ==== diff --git a/nn/modules/ROOT/pages/commands/Element.adoc b/nn/modules/ROOT/pages/commands/Element.adoc index c99fb36de..a5909d5db 100644 --- a/nn/modules/ROOT/pages/commands/Element.adoc +++ b/nn/modules/ROOT/pages/commands/Element.adoc @@ -26,7 +26,7 @@ gje _\{7, 8}_. *Døme:* `++Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3]++` gjev _-2_, som er elementet i andre rad og tredje kolonne i -stem:[\begin\{pmatrix}1&3&2\\0&3&-2\end\{pmatrix}]. +stem:[\begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}]. ==== @@ -61,7 +61,7 @@ Element[ , , ]:: *Døme:* `++Element[{{a, b, c}, {d, e, f}}, 2, 3]++` gjev _f_, som er elementet i andre rad og tredje kolonne i -stem:[\begin\{pmatrix}a&b&c\\d&e&f\end\{pmatrix}]. +stem:[\begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}]. ==== diff --git a/nn/modules/ROOT/pages/commands/Faktorar.adoc b/nn/modules/ROOT/pages/commands/Faktorar.adoc index 52182ca38..00702ba37 100644 --- a/nn/modules/ROOT/pages/commands/Faktorar.adoc +++ b/nn/modules/ROOT/pages/commands/Faktorar.adoc @@ -57,10 +57,10 @@ Faktorar[ ]:: *Døme:* -* `++Faktorar[1024]++`gjev _\{\{2, 10}}_, vist som stem:[\begin\{pmatrix} 2&10 \end\{pmatrix}], sidan stem:[1024 = +* `++Faktorar[1024]++`gjev _\{\{2, 10}}_, vist som stem:[\begin{pmatrix} 2&10 \end{pmatrix}], sidan stem:[1024 = 2^\{10}]. -** `++Faktorar[42]++` gjev _\{\{2, 1}, \{3, 1}, \{7, 1}}_, vist som stem:[\begin\{pmatrix} 2&1\\ 3&1\\ 7&1 -\end\{pmatrix}], sidan stem:[42 = 2^1 * 3^1 * 7^1]. +** `++Faktorar[42]++` gjev _\{\{2, 1}, \{3, 1}, \{7, 1}}_, vist som stem:[\begin{pmatrix} 2&1\\ 3&1\\ 7&1 +\end{pmatrix}], sidan stem:[42 = 2^1 * 3^1 * 7^1]. ==== @@ -85,6 +85,6 @@ xref:/commands/Faktoriser.adoc[Faktoriser]. *Døme:* `++Faktorar[x^8 - 1]++` gjev _\{\{x^4 + 1, 1}, \{x^2 + 1, 1}, \{x + 1, 1}, \{x - 1, 1}}_, vist som -stem:[\begin\{pmatrix} x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end\{pmatrix}]. +stem:[\begin{pmatrix} x^4+1&1\\ x^2+1&1\\ x+1&1\\ x-1&1 \end{pmatrix}]. ==== diff --git a/nn/modules/ROOT/pages/commands/FordelingBinomial.adoc b/nn/modules/ROOT/pages/commands/FordelingBinomial.adoc index 52cb92db6..47b1d142f 100644 --- a/nn/modules/ROOT/pages/commands/FordelingBinomial.adoc +++ b/nn/modules/ROOT/pages/commands/FordelingBinomial.adoc @@ -30,22 +30,22 @@ FordelingBinomial[ , , , , , ]:: *Døme:* -`++FordelingCauchy[1, 2, 3]++` gjev _stem:[\frac\{3}\{4}]_. +`++FordelingCauchy[1, 2, 3]++` gjev _stem:[\frac{3}{4}]_. ==== diff --git a/nn/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc b/nn/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc index 600417ccd..fede13b0a 100644 --- a/nn/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc +++ b/nn/modules/ROOT/pages/commands/FordelingHypergeometrisk.adoc @@ -64,16 +64,16 @@ FordelingHypergeometrisk[ , , , ]:: ==== *Døme:* La `++liste1 = {"a", "b", "b", "c", "c", "c", "c"}++` og `++liste2 = {"a", "b", "a", "a", "c", "c", "d"}++`. Da -vil `++Frekvens[ liste1, liste2 ]++` returnere matrisa stem:[\begin\{pmatrix} 1 & 0 & 0 & 0\\ 1 &1 & 0 &0 \\ 1 & 0 & 2 & -1 \\ \end\{pmatrix}] +vil `++Frekvens[ liste1, liste2 ]++` returnere matrisa stem:[\begin{pmatrix} 1 & 0 & 0 & 0\\ 1 &1 & 0 &0 \\ 1 & 0 & 2 & +1 \\ \end{pmatrix}] ==== diff --git a/nn/modules/ROOT/pages/commands/GeometriskStad.adoc b/nn/modules/ROOT/pages/commands/GeometriskStad.adoc index 94bd4db85..66b5886b0 100644 --- a/nn/modules/ROOT/pages/commands/GeometriskStad.adoc +++ b/nn/modules/ROOT/pages/commands/GeometriskStad.adoc @@ -94,6 +94,6 @@ GeometriskStad[ , ]:: punktet. GeometriskStad[ , ]:: Gjev kurva til den geometriske staden som samsvarer med løysinga av differensiallikninga - stem:[\frac\{dy}\{dx}=f(x,y)]. Løysinga vert funne numerisk. + stem:[\frac{dy}{dx}=f(x,y)]. Løysinga vert funne numerisk. |=== diff --git a/nn/modules/ROOT/pages/commands/Gjennomsnitt.adoc b/nn/modules/ROOT/pages/commands/Gjennomsnitt.adoc index fc2443cea..4493a8170 100644 --- a/nn/modules/ROOT/pages/commands/Gjennomsnitt.adoc +++ b/nn/modules/ROOT/pages/commands/Gjennomsnitt.adoc @@ -10,8 +10,8 @@ Gjennomsnitt[ ]:: *Døme:* -* `++Gjennomsnitt[{1, 2, 3}]++` gjev 2, som er stem:[\frac\{1+2+3}\{3}] -* `++Gjennomsnitt[{2, 5, 3, 7}]++` gjev 4.25, som er stem:[\frac\{2+5+3+7}\{4}] +* `++Gjennomsnitt[{1, 2, 3}]++` gjev 2, som er stem:[\frac{1+2+3}{3}] +* `++Gjennomsnitt[{2, 5, 3, 7}]++` gjev 4.25, som er stem:[\frac{2+5+3+7}{4}] ==== @@ -22,7 +22,7 @@ Gjennomsnitt[ , ]:: ==== *Døme:* La _L = \{1, 2, 3, 4}_ og _F = \{2, 1, 1, 5}_. `++Gjennomsnitt[L, F]++` gjev da 3, som er -stem:[\frac\{1\cdot2+2+3+4\cdot5}\{9}]. +stem:[\frac{1\cdot2+2+3+4\cdot5}{9}]. ==== @@ -56,6 +56,6 @@ Gjennomsnitt[ ]:: [EXAMPLE] ==== -*Døme:* `++Gjennomsnitt[{2, 5, 3, a}]++` gjev stem:[\frac\{a+10}\{4}] +*Døme:* `++Gjennomsnitt[{2, 5, 3, a}]++` gjev stem:[\frac{a+10}{4}] ==== diff --git a/nn/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc b/nn/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc index b691c0435..772fff374 100644 --- a/nn/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc +++ b/nn/modules/ROOT/pages/commands/HarmoniskGjennomsnitt.adoc @@ -10,10 +10,10 @@ HarmoniskGjennomsnitt[ ]:: *Døme:* -* `++HarmoniskGjennomsnitt[{1, 2, 3}]++` gjev 1.64, som er stem:[ \frac\{3}\{\frac\{1}\{1}+\frac\{1}\{2}+\frac\{1}\{3} } +* `++HarmoniskGjennomsnitt[{1, 2, 3}]++` gjev 1.64, som er stem:[ \frac{3}{\frac{1}{1}+\frac{1}{2}+\frac{1}{3} } ] * `++HarmoniskGjennomsnitt[{2, 5, 3, 7}]++` gjev 3.40, som er stem:[ -\frac\{4}\{\frac\{1}\{2}+\frac\{1}\{5}+\frac\{1}\{3}+\frac\{1}\{7} } ] +\frac{4}{\frac{1}{2}+\frac{1}{5}+\frac{1}{3}+\frac{1}{7} } ] ==== diff --git a/nn/modules/ROOT/pages/commands/Identitetsmatrise.adoc b/nn/modules/ROOT/pages/commands/Identitetsmatrise.adoc index 3b5dd3922..0d1c0521d 100644 --- a/nn/modules/ROOT/pages/commands/Identitetsmatrise.adoc +++ b/nn/modules/ROOT/pages/commands/Identitetsmatrise.adoc @@ -13,7 +13,7 @@ Identitetsmatrise[ ]:: *Døme:* - `++Identitetsmatrise[3]++` gjev matrisa _stem:[\begin\{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end\{pmatrix}]_. + `++Identitetsmatrise[3]++` gjev matrisa _stem:[\begin{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end{pmatrix}]_. ==== [NOTE] @@ -30,7 +30,7 @@ Identitetsmatrise[ ]:: *Døme:* -`++Identitetsmatrise[3]++` gjev matrisa _stem:[\begin\{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end\{pmatrix}]_. +`++Identitetsmatrise[3]++` gjev matrisa _stem:[\begin{pmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end{pmatrix}]_. ==== diff --git a/nn/modules/ROOT/pages/commands/ImplisittDerivert.adoc b/nn/modules/ROOT/pages/commands/ImplisittDerivert.adoc index f7996848d..100ffd189 100644 --- a/nn/modules/ROOT/pages/commands/ImplisittDerivert.adoc +++ b/nn/modules/ROOT/pages/commands/ImplisittDerivert.adoc @@ -36,8 +36,8 @@ ImplisittDerivert[ , , ]:: *Døme:* -* `++ImplisittDerivert[x^2 + y^2, y, x]++` gjev _-stem:[\frac\{x}\{y}]_ -* `++ImplisittDerivert[x^2 + y^2, x, y]++` gjev _-stem:[\frac\{y}\{x}]_ +* `++ImplisittDerivert[x^2 + y^2, y, x]++` gjev _-stem:[\frac{x}{y}]_ +* `++ImplisittDerivert[x^2 + y^2, x, y]++` gjev _-stem:[\frac{y}{x}]_ ==== diff --git a/nn/modules/ROOT/pages/commands/Integral.adoc b/nn/modules/ROOT/pages/commands/Integral.adoc index 73cdcb561..59d86ec0d 100644 --- a/nn/modules/ROOT/pages/commands/Integral.adoc +++ b/nn/modules/ROOT/pages/commands/Integral.adoc @@ -16,7 +16,7 @@ Integral[ , , , ]:: *Døme:* -`++Integral[x^3]++` gjev stem:[\frac\{x^4}\{4}]. +`++Integral[x^3]++` gjev stem:[\frac{x^4}{4}]. ==== @@ -75,7 +75,7 @@ Integral[ , , , ]:: *Døme:* -`++Integral[cos(a t), t]++` gjev stem:[\frac\{sin(a t)}\{a} + c_1]. +`++Integral[cos(a t), t]++` gjev stem:[\frac{sin(a t)}{a} + c_1]. ==== diff --git a/nn/modules/ROOT/pages/commands/Invers.adoc b/nn/modules/ROOT/pages/commands/Invers.adoc index a7c012bc8..6fa04b413 100644 --- a/nn/modules/ROOT/pages/commands/Invers.adoc +++ b/nn/modules/ROOT/pages/commands/Invers.adoc @@ -34,8 +34,8 @@ Invers[ ]:: *Døme:* -`++Invers[{{1, 2}, {3, 4}}]++` gjev stem:[ \begin\{pmatrix} -2 & 1\\ 1.5 & -0.5 \end\{pmatrix} , som er den inverse -matrisa til \begin\{pmatrix} 1 & 2\\ 3 & 4 \end\{pmatrix} ]. +`++Invers[{{1, 2}, {3, 4}}]++` gjev stem:[ \begin{pmatrix} -2 & 1\\ 1.5 & -0.5 \end{pmatrix} , som er den inverse +matrisa til \begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix} ]. ==== @@ -59,7 +59,7 @@ Invers[ ]:: *Døme:* - `++Invers[(x + 1) / (x + 2)]++` som gjev stem:[\frac\{-2x+1}\{x-1}]. + `++Invers[(x + 1) / (x + 2)]++` som gjev stem:[\frac{-2x+1}{x-1}]. ==== @@ -68,8 +68,8 @@ Invers[ ]:: *Døme:* -`++Invers[{{a, b}, {c, d}}]++` gjev stem:[ \begin\{pmatrix} \frac\{d}\{ad- bc} & \frac\{-b}\{ad- bc}\\ \frac\{-c}\{ad- -bc}& \frac\{a}\{ ad- bc} \end\{pmatrix} , som er den inverse matrisa til \begin\{pmatrix} a & b\\ c & d \end\{pmatrix} +`++Invers[{{a, b}, {c, d}}]++` gjev stem:[ \begin{pmatrix} \frac{d}{ad- bc} & \frac{-b}{ad- bc}\\ \frac{-c}{ad- +bc}& \frac{a}{ ad- bc} \end{pmatrix} , som er den inverse matrisa til \begin{pmatrix} a & b\\ c & d \end{pmatrix} ]. ==== diff --git "a/nn/modules/ROOT/pages/commands/Kjedebr\303\270k.adoc" "b/nn/modules/ROOT/pages/commands/Kjedebr\303\270k.adoc" index 5bdf4fe94..fc5eff05b 100644 --- "a/nn/modules/ROOT/pages/commands/Kjedebr\303\270k.adoc" +++ "b/nn/modules/ROOT/pages/commands/Kjedebr\303\270k.adoc" @@ -27,13 +27,13 @@ Kjedebrøk[ , , ]:: [EXAMPLE] ==== -*Døme:* `++Kjedebrøk[5.45, 3]++` gjev _stem:[5 + \frac\{1}\{ 2+ \frac\{1}\{4+ ... } }]_ +*Døme:* `++Kjedebrøk[5.45, 3]++` gjev _stem:[5 + \frac{1}{ 2+ \frac{1}{4+ ... } }]_ ==== [EXAMPLE] ==== -*Døme:* `++Kjedebrøk[5.45]++` gjev _stem:[5 + \frac\{1}\{ 2+ \frac\{1}\{4+ \frac\{1}\{ 1+ \frac\{1}\{ 1 } } } }]_ +*Døme:* `++Kjedebrøk[5.45]++` gjev _stem:[5 + \frac{1}{ 2+ \frac{1}{4+ \frac{1}{ 1+ \frac{1}{ 1 } } } }]_ ==== diff --git a/nn/modules/ROOT/pages/commands/KjiKvadrat.adoc b/nn/modules/ROOT/pages/commands/KjiKvadrat.adoc index cdca6b58d..e72b954f5 100644 --- a/nn/modules/ROOT/pages/commands/KjiKvadrat.adoc +++ b/nn/modules/ROOT/pages/commands/KjiKvadrat.adoc @@ -25,7 +25,7 @@ KjiKvadrat[ , ]:: [EXAMPLE] ==== -*Døme:* `++KjiKvadrat[4, 3]++` gjev stem:[\gamma(2, \frac\{3}\{2})], som er tilnærma _0.44_. +*Døme:* `++KjiKvadrat[4, 3]++` gjev stem:[\gamma(2, \frac{3}{2})], som er tilnærma _0.44_. ==== diff --git a/nn/modules/ROOT/pages/commands/Kovarians.adoc b/nn/modules/ROOT/pages/commands/Kovarians.adoc index db9becdba..fbc9a9381 100644 --- a/nn/modules/ROOT/pages/commands/Kovarians.adoc +++ b/nn/modules/ROOT/pages/commands/Kovarians.adoc @@ -39,7 +39,7 @@ Kovarians[ , ]:: *Døme:* -`++Kovarians[{1, b}, {a, 3}]++` gjev stem:[\frac\{-ab+a+3b-3}\{4}], som er kovariansen mellom _\{1, b}_ og _\{a, 3}_. +`++Kovarians[{1, b}, {a, 3}]++` gjev stem:[\frac{-ab+a+3b-3}{4}], som er kovariansen mellom _\{1, b}_ og _\{a, 3}_. ==== @@ -48,6 +48,6 @@ Kovarians[ , ]:: *Døme:* -`++Kovarians[{(1, a), (b, 3)}]++` gjev stem:[\frac\{-ab+a+3b-3}\{4}], som er kovariansen mellom _\{1, b}_ og _\{a, 3}_. +`++Kovarians[{(1, a), (b, 3)}]++` gjev stem:[\frac{-ab+a+3b-3}{4}], som er kovariansen mellom _\{1, b}_ og _\{a, 3}_. ==== diff --git a/nn/modules/ROOT/pages/commands/Kryssforhold.adoc b/nn/modules/ROOT/pages/commands/Kryssforhold.adoc index d63449f8e..b27048f44 100644 --- a/nn/modules/ROOT/pages/commands/Kryssforhold.adoc +++ b/nn/modules/ROOT/pages/commands/Kryssforhold.adoc @@ -9,7 +9,7 @@ Kryssforhold[ , , , ]:: [NOTE] ==== -*Merk:* Kryssforholdet _λ_ er definert som stem:[ λ=\frac\{Delingsforholdet[B,C,D]}\{Delingsforholdet[A,C,D]}]. +*Merk:* Kryssforholdet _λ_ er definert som stem:[ λ=\frac{Delingsforholdet[B,C,D]}{Delingsforholdet[A,C,D]}]. ==== diff --git "a/nn/modules/ROOT/pages/commands/L\303\270ys.adoc" "b/nn/modules/ROOT/pages/commands/L\303\270ys.adoc" index 2ccdff757..45116b522 100644 --- "a/nn/modules/ROOT/pages/commands/L\303\270ys.adoc" +++ "b/nn/modules/ROOT/pages/commands/L\303\270ys.adoc" @@ -27,7 +27,7 @@ og _y + x = 2_. *Døme:* -`++Løys[x * a^2 = 4a, a]++` gjev stem:[\\{a = \frac\{4}\{x}, a = 0\}], som er løysingane av _x a^2^ = 4a_. +`++Løys[x * a^2 = 4a, a]++` gjev stem:[\\{a = \frac{4}{x}, a = 0\}], som er løysingane av _x a^2^ = 4a_. ==== diff --git "a/nn/modules/ROOT/pages/commands/L\303\270ysODE.adoc" "b/nn/modules/ROOT/pages/commands/L\303\270ysODE.adoc" index 52c6342df..1f288645d 100644 --- "a/nn/modules/ROOT/pages/commands/L\303\270ysODE.adoc" +++ "b/nn/modules/ROOT/pages/commands/L\303\270ysODE.adoc" @@ -4,15 +4,15 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] LøysODE[ ]:: Prøver å finne den eksakte løysinga av den ordinære differensiallikninga av første orden - stem:[\frac\{dy}\{dx}(x)=f'(x, y(x))]. + stem:[\frac{dy}{dx}(x)=f'(x, y(x))]. LøysODE[ , ]:: Prøver å finne den eksakte løysinga av den ordinære differensiallikninga av første orden - stem:[\frac\{dy}\{dx}(x)=f'(x, y(x))] der løysinga går gjennom det gjevne punktet. + stem:[\frac{dy}{dx}(x)=f'(x, y(x))] der løysinga går gjennom det gjevne punktet. LøysODE[ , , , , ]:: - Løyser den første ordens ordinære differensiallikninga stem:[\frac\{dy}\{dx}=f'(x,y)] numerisk med startpunkt _(x~0~, + Løyser den første ordens ordinære differensiallikninga stem:[\frac{dy}{dx}=f'(x,y)] numerisk med startpunkt _(x~0~, y~0~)_, sluttverdi _x~1~_ for _x_ og steglengde _s_ for _x_. LøysODE[ , , , , , ]:: - Løyser den første ordens ordinære differensiallikninga stem:[\frac\{dy}\{dx}=\frac\{f(x,y)}\{g(x,y)}] numerisk med + Løyser den første ordens ordinære differensiallikninga stem:[\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}] numerisk med startpunkt _(x~0~, y~0~)_, maksimal verdi for ein intern parameter _t_ og steglengde _s_ for _t_. Denne versjonen av kommandoen kan virke der den førre versjonen feiler, til dømes når løysingskurva har vertikale punkt. LøysODE[ , , , , , , , ]:: @@ -23,7 +23,7 @@ LøysODE[ , , , , , , , < *Døme:* -`++LøysODE[-x, y, x(A), y(A), 5, 0.1]++` løyser stem:[\frac\{dy}\{dx}=- \frac\{x}\{y} ] ved å bruke eit tidlegare +`++LøysODE[-x, y, x(A), y(A), 5, 0.1]++` løyser stem:[\frac{dy}{dx}=- \frac{x}{y} ] ved å bruke eit tidlegare definert punkt _A_ som startpunkt. ==== @@ -33,7 +33,7 @@ definert punkt _A_ som startpunkt. *Døme:* -`++LøysODE[-x*y, x(A), y(A), 5, 0.1]++` løyser stem:[\frac\{dy}\{dx}=-xy] ved å bruke eit tidlegare definert punkt _A_ +`++LøysODE[-x*y, x(A), y(A), 5, 0.1]++` løyser stem:[\frac{dy}{dx}=-xy] ved å bruke eit tidlegare definert punkt _A_ som startpunkt. ==== @@ -102,17 +102,17 @@ xref:/commands/GeometriskStad.adoc[geometriske staden]. == CAS-delen LøysODE[ ]:: - Prøver å finne den eksakte løysinga av den ordinære differensiallikninga av første orden stem:[\frac\{dy}\{dx}(x)=f(x, + Prøver å finne den eksakte løysinga av den ordinære differensiallikninga av første orden stem:[\frac{dy}{dx}(x)=f(x, y(x))]. For første- og andrederiverte av _y_ kan du bruke _y'_ og _y''_. LøysODE[ , ]:: Prøver å finne den eksakte løysinga av den første eller andre ordens ordinære differensiallikninga - stem:[\frac\{dy}\{dx}(x)=f(x, y(x))] som går gjennom punktet (eller lista med punkt) _L_. + stem:[\frac{dy}{dx}(x)=f(x, y(x))] som går gjennom punktet (eller lista med punkt) _L_. LøysODE[ , , ]:: Prøver å finne den eksakte løysinga av den første eller andre ordens ordinære differensiallikninga - \frac\{dy}\{dx}(x)=f(x, y(x))\) og går gjennom punktet (eller lista med punkt) _L_ og _f'_ går gjennom punktet (eller + \frac{dy}{dx}(x)=f(x, y(x))\) og går gjennom punktet (eller lista med punkt) _L_ og _f'_ går gjennom punktet (eller lista med punkt) _L'_ . LøysODE[ , , ]:: - Prøver å finne den eksakte løysinga av den ordinære differensiallikninga av første orden stem:[\frac\{dv}\{dw}(w)=f(w, + Prøver å finne den eksakte løysinga av den ordinære differensiallikninga av første orden stem:[\frac{dv}{dw}(w)=f(w, v(w))]. LøysODE[ , , , ]:: Kombinerer parametrar frå syntaks nummer to og fire. diff --git "a/nn/modules/ROOT/pages/commands/L\303\270ysingar.adoc" "b/nn/modules/ROOT/pages/commands/L\303\270ysingar.adoc" index c58d661ab..b4440c3fc 100644 --- "a/nn/modules/ROOT/pages/commands/L\303\270ysingar.adoc" +++ "b/nn/modules/ROOT/pages/commands/L\303\270ysingar.adoc" @@ -17,9 +17,9 @@ Løysingar[ , ]:: *Døme:* * `++Løysingar[{x = 4 x + y , y + x = 2}, {x, y}]++` gjev _\{\{-1, 3}}_, som er den einaste løysinga av _x = 4x + y_ and -_y + x = 2_. Løysinga vert vist som stem:[\begin\{pmatrix} -1&3 \end\{pmatrix}]. +_y + x = 2_. Løysinga vert vist som stem:[\begin{pmatrix} -1&3 \end{pmatrix}]. ** `++Løysingar[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}]++` gjev _\{\{0, 3}, \{-3, 6}}_. Løysinga vert vist som -stem:[\begin\{pmatrix} 0&3\\ -3&6 \end\{pmatrix}]. +stem:[\begin{pmatrix} 0&3\\ -3&6 \end{pmatrix}]. ==== @@ -28,7 +28,7 @@ stem:[\begin\{pmatrix} 0&3\\ -3&6 \end\{pmatrix}]. *Døme:* -`++Løysingar[x * a^2 = 4a, a]++` gjev stem:[\\{\frac\{4}\{x},0\}], som er løysingane av _x a^2^ = 4a_. +`++Løysingar[x * a^2 = 4a, a]++` gjev stem:[\\{\frac{4}{x},0\}], som er løysingane av _x a^2^ = 4a_. ==== diff --git a/nn/modules/ROOT/pages/commands/Massesenter.adoc b/nn/modules/ROOT/pages/commands/Massesenter.adoc index 7ead92e64..69a44764f 100644 --- a/nn/modules/ROOT/pages/commands/Massesenter.adoc +++ b/nn/modules/ROOT/pages/commands/Massesenter.adoc @@ -17,7 +17,7 @@ sidan vekta til kvart punkt er lik. `++Massesenter[{(2, 0), (0, 2), (-2, 0), (0, -2)}, {2, 1, 1, 1}]++` gjev punktet _(0.4,0)_. -* _x_-koordinaten til punktet vart funne slik _stem:[ \frac\{1}\{ 2+1+1+1 }\cdot(2\cdot2+1\cdot0+1\cdot(-2)+1\cdot0)] = -stem:[\frac\{1}\{ 5 }\cdot2] = 0.4_ +* _x_-koordinaten til punktet vart funne slik _stem:[ \frac{1}{ 2+1+1+1 }\cdot(2\cdot2+1\cdot0+1\cdot(-2)+1\cdot0)] = +stem:[\frac{1}{ 5 }\cdot2] = 0.4_ ==== diff --git a/nn/modules/ROOT/pages/commands/Median.adoc b/nn/modules/ROOT/pages/commands/Median.adoc index d6f7efdf6..afe53cf1f 100644 --- a/nn/modules/ROOT/pages/commands/Median.adoc +++ b/nn/modules/ROOT/pages/commands/Median.adoc @@ -43,7 +43,7 @@ Median[ ]:: *Døme:* * `++Median[{1, 2, 3}]++` gjev 2 -* `++Median[{1, 1, 8, 8}]++` gjev stem:[\frac\{9}\{2}] +* `++Median[{1, 1, 8, 8}]++` gjev stem:[\frac{9}{2}] ==== diff --git a/nn/modules/ROOT/pages/commands/ParametriskDerivert.adoc b/nn/modules/ROOT/pages/commands/ParametriskDerivert.adoc index 0376cd3af..47794d2ba 100644 --- a/nn/modules/ROOT/pages/commands/ParametriskDerivert.adoc +++ b/nn/modules/ROOT/pages/commands/ParametriskDerivert.adoc @@ -12,8 +12,8 @@ ParametriskDerivert[ ]:: *Døme:* * `++ParametriskDerivert[Kurve[2t, t², t, 0, 10]]++` gjev den parametriske kurva _(x(t) = 2t, y(t) = t)_. -* Kurva som er gjeve som argument til kommandoen er funksjonen _f(x) = stem:[ \frac\{x²}\{4}]_, og resultatet er _f_ sin -deriverte _f'(x) = stem:[ \frac\{x}\{2}]._ +* Kurva som er gjeve som argument til kommandoen er funksjonen _f(x) = stem:[ \frac{x²}{4}]_, og resultatet er _f_ sin +deriverte _f'(x) = stem:[ \frac{x}{2}]._ ==== diff --git a/nn/modules/ROOT/pages/commands/RMS.adoc b/nn/modules/ROOT/pages/commands/RMS.adoc index bd18db1b7..9d2c5e6ac 100644 --- a/nn/modules/ROOT/pages/commands/RMS.adoc +++ b/nn/modules/ROOT/pages/commands/RMS.adoc @@ -8,6 +8,6 @@ RMS[ ]:: [EXAMPLE] ==== -*Døme:* `++RMS[{1, 2, 3, 4}]++` gjev 2.74 som er stem:[\sqrt\{\frac\{1}\{4}(1^2+2^2+3^2+4^2)}]. +*Døme:* `++RMS[{1, 2, 3, 4}]++` gjev 2.74 som er stem:[\sqrt\{\frac{1}{4}(1^2+2^2+3^2+4^2)}]. ==== diff --git a/nn/modules/ROOT/pages/commands/RasjonalNemnar.adoc b/nn/modules/ROOT/pages/commands/RasjonalNemnar.adoc index 9eca32c9f..abfbf6c14 100644 --- a/nn/modules/ROOT/pages/commands/RasjonalNemnar.adoc +++ b/nn/modules/ROOT/pages/commands/RasjonalNemnar.adoc @@ -12,7 +12,7 @@ RasjonalNemnar[ ]:: *Døme:* -* `++RasjonalNemnar[3.5]++` gjev stem:[\frac\{7}\{2}]. +* `++RasjonalNemnar[3.5]++` gjev stem:[\frac{7}{2}]. * `++RasjonalNemnar[1/sqrt(2)]++` gjev stem:[\frac\{\sqrt\{2} }\{2}]. ==== diff --git a/nn/modules/ROOT/pages/commands/RedusertRadEchelonForm.adoc b/nn/modules/ROOT/pages/commands/RedusertRadEchelonForm.adoc index aa6d42b31..6077038c3 100644 --- a/nn/modules/ROOT/pages/commands/RedusertRadEchelonForm.adoc +++ b/nn/modules/ROOT/pages/commands/RedusertRadEchelonForm.adoc @@ -15,7 +15,7 @@ RedusertRadEchelonForm[ ]:: *Døme:* -`++RedusertRadEchelonForm[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` gjev matrisa stem:[ \begin\{pmatrix} 1 & 0 & 0 \\ 0 & 1 -& 0 \\ 0 & 0 & 1 \end\{pmatrix}]. +`++RedusertRadEchelonForm[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` gjev matrisa stem:[ \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 +& 0 \\ 0 & 0 & 1 \end{pmatrix}]. ==== diff --git a/nn/modules/ROOT/pages/commands/RegLogist.adoc b/nn/modules/ROOT/pages/commands/RegLogist.adoc index 797a73246..198a16c21 100644 --- a/nn/modules/ROOT/pages/commands/RegLogist.adoc +++ b/nn/modules/ROOT/pages/commands/RegLogist.adoc @@ -3,12 +3,12 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] RegLogist[ ]:: - Finn regresjonskurva i form av ein logistisk funksjon stem:[\frac\{a}\{1+b\cdot e^\{-kx}}] . + Finn regresjonskurva i form av ein logistisk funksjon stem:[\frac{a}{1+b\cdot e^\{-kx}}] . [EXAMPLE] ==== -*Døme:* `++RegLogist[{(1, 1), (2, 2), (3, 3)}]++` gjev stem:[\frac\{4}\{1+9e^\{-1.099x} } ] . +*Døme:* `++RegLogist[{(1, 1), (2, 2), (3, 3)}]++` gjev stem:[\frac{4}{1+9e^\{-1.099x} } ] . ==== diff --git a/nn/modules/ROOT/pages/commands/RektangelSum.adoc b/nn/modules/ROOT/pages/commands/RektangelSum.adoc index f1dc5ba56..ff2461569 100644 --- a/nn/modules/ROOT/pages/commands/RektangelSum.adoc +++ b/nn/modules/ROOT/pages/commands/RektangelSum.adoc @@ -5,7 +5,7 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] RektangelSum[ , , , , ]:: Kommandoen gjev ei tilnærming til arealet under grafen til funksjonen. Intervallet [_a_, _b_] vert delt opp i _n_ delintervall med breidde _(a - b)/n_. I kvart delintervall vert det teikna eit rektangel med breidde lik - intervallbreidda og høgde bestemt av funksjonsverdien for ein _x_-verdi lik: stem:[x_0 + (a-b)\frac\{d}\{n}], der + intervallbreidda og høgde bestemt av funksjonsverdien for ein _x_-verdi lik: stem:[x_0 + (a-b)\frac{d}{n}], der stem:[x_0] er _x_-verdien til starten på intervallet. Kommandoen finn summen av areala til alle rektangla. [EXAMPLE] @@ -22,7 +22,7 @@ Høgda til det andre rektangelet er stem:[f(0+2\cdot0.6)=f(1.2)=1.2^2+3\cdot 1.2 Arealet som vert returnert er: stem:[2(2.24+9.04)=22.56]. -Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac\{64}\{3}] i CAS-delen). +Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac{64}{3}] i CAS-delen). ==== diff --git a/nn/modules/ROOT/pages/commands/Retningsdiagram.adoc b/nn/modules/ROOT/pages/commands/Retningsdiagram.adoc index 54d31236a..82199bfcc 100644 --- a/nn/modules/ROOT/pages/commands/Retningsdiagram.adoc +++ b/nn/modules/ROOT/pages/commands/Retningsdiagram.adoc @@ -3,22 +3,22 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] Retningsdiagram[ ]:: - Teiknar eit retningsdiagram for differensiallikninga stem:[\frac\{dy}\{dx}=f(x,y)]. + Teiknar eit retningsdiagram for differensiallikninga stem:[\frac{dy}{dx}=f(x,y)]. Retningsdiagram[ , ]:: - Teiknar eit retningsdiagram for differensiallikninga stem:[\frac\{dy}\{dx}=f(x,y)] på eit _n_ x _n_ rutenett. + Teiknar eit retningsdiagram for differensiallikninga stem:[\frac{dy}{dx}=f(x,y)] på eit _n_ x _n_ rutenett. Standardverdien for _n_ er 40. Retningsdiagram[ , , ]:: - Teiknar eit retningsdiagram for differensiallikninga stem:[\frac\{dy}\{dx}=f(x,y)] på eit _n_ x _n_ rutenett. + Teiknar eit retningsdiagram for differensiallikninga stem:[\frac{dy}{dx}=f(x,y)] på eit _n_ x _n_ rutenett. Multiplikatoren _0 < a ≤ 1_ avgjer lengda på linjestykka. Retningsdiagram[ , , , , , , ]:: - Teiknar eit retningsdiagram for differensiallikninga stem:[\frac\{dy}\{dx}=f(x,y)] på eit _n_ x _n_ rutenett innafor + Teiknar eit retningsdiagram for differensiallikninga stem:[\frac{dy}{dx}=f(x,y)] på eit _n_ x _n_ rutenett innafor rektangelet bestemt av (_x~min~_, _y~min~_) og (_x~maks~_, _y~maks~_). Multiplikatoren _0 < a ≤ 1_ avgjer lengda på linjestykka. [EXAMPLE] ==== -*Døme:* `++Retningsdiagram[x+y]++` gjev retningsidagrammet for stem:[\frac\{dy}\{dx}=x+y]. +*Døme:* `++Retningsdiagram[x+y]++` gjev retningsidagrammet for stem:[\frac{dy}{dx}=x+y]. ==== diff --git a/nn/modules/ROOT/pages/commands/Stigning.adoc b/nn/modules/ROOT/pages/commands/Stigning.adoc index 436a43211..0e01e1ba5 100644 --- a/nn/modules/ROOT/pages/commands/Stigning.adoc +++ b/nn/modules/ROOT/pages/commands/Stigning.adoc @@ -3,7 +3,7 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] Stigning[ ]:: - Finn stigningstalet til den gjevne linja. For ei linje _ax + by = c_ er stigningstalet gjeve av stem:[-\frac\{a}\{b}]. + Finn stigningstalet til den gjevne linja. For ei linje _ax + by = c_ er stigningstalet gjeve av stem:[-\frac{a}{b}]. [NOTE] ==== diff --git a/nn/modules/ROOT/pages/commands/Sum.adoc b/nn/modules/ROOT/pages/commands/Sum.adoc index c75cfa1a4..55b6fbace 100644 --- a/nn/modules/ROOT/pages/commands/Sum.adoc +++ b/nn/modules/ROOT/pages/commands/Sum.adoc @@ -67,6 +67,6 @@ Sum[ , , , ]:: * `++Sum[i^2, i, 1, 3]++` gjev _14_. * `++Sum[r^i, i, 0, n]++` gjev stem:[\frac\{r^\{n+1} - 1}\{r - 1}]. -* `++Sum[(1/3)^i, i, 0, inf]++` gjev stem:[\frac\{3}\{2}]. +* `++Sum[(1/3)^i, i, 0, inf]++` gjev stem:[\frac{3}{2}]. ==== diff --git a/nn/modules/ROOT/pages/commands/SumOver.adoc b/nn/modules/ROOT/pages/commands/SumOver.adoc index 83747b5f8..445e0743b 100644 --- a/nn/modules/ROOT/pages/commands/SumOver.adoc +++ b/nn/modules/ROOT/pages/commands/SumOver.adoc @@ -22,7 +22,7 @@ Høgda til det andre rektangelet er stem:[f(2)=2^2+3\cdot 2+4=14]. Arealet som vert returnert er: stem:[2(4+14)=36]. -Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac\{64}\{3}] i CAS-delen). +Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac{64}{3}] i CAS-delen). ==== diff --git a/nn/modules/ROOT/pages/commands/SumUnder.adoc b/nn/modules/ROOT/pages/commands/SumUnder.adoc index 3af39d090..811f5348a 100644 --- a/nn/modules/ROOT/pages/commands/SumUnder.adoc +++ b/nn/modules/ROOT/pages/commands/SumUnder.adoc @@ -22,7 +22,7 @@ Høgda til det andre rektangelet er stem:[f(0)=0^2+3\cdot 0+4=4]. Arealet som vert returnert er: stem:[1.75+4)=11.5]. -Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac\{64}\{3}] i CAS-delen). +Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac{64}{3}] i CAS-delen). ==== diff --git a/nn/modules/ROOT/pages/commands/Sxx.adoc b/nn/modules/ROOT/pages/commands/Sxx.adoc index e1a291eed..d070a45e6 100644 --- a/nn/modules/ROOT/pages/commands/Sxx.adoc +++ b/nn/modules/ROOT/pages/commands/Sxx.adoc @@ -3,9 +3,9 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] Sxx[ ]:: - Finn den statistiske storleiken stem:[\sum x^2 - \frac\{(\sum x)^2}\{n}] frå tala i lista. + Finn den statistiske storleiken stem:[\sum x^2 - \frac{(\sum x)^2}{n}] frå tala i lista. Sxx[ ]:: - Finn den statistiske storleiken stem:[\sum x^2 - \frac\{(\sum x)^2}\{n}] frå _x_-koordinatane til punkta i lista. + Finn den statistiske storleiken stem:[\sum x^2 - \frac{(\sum x)^2}{n}] frå _x_-koordinatane til punkta i lista. [NOTE] ==== diff --git a/nn/modules/ROOT/pages/commands/Sxy.adoc b/nn/modules/ROOT/pages/commands/Sxy.adoc index bfdb97bee..cb5e4100b 100644 --- a/nn/modules/ROOT/pages/commands/Sxy.adoc +++ b/nn/modules/ROOT/pages/commands/Sxy.adoc @@ -3,10 +3,10 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] Sxy[ ]:: - Finn den statistiske storleiken stem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}] frå _x_- og _y_-koordinatane til punkta + Finn den statistiske storleiken stem:[\sum xy - \frac{(\sum x) (\sum y)}{n}] frå _x_- og _y_-koordinatane til punkta i lista. Sxy[ , ]:: - Finn den statistiske storleiken stem:[\sum xy - \frac\{(\sum x) (\sum y)}\{n}] frå tala i dei to listene. + Finn den statistiske storleiken stem:[\sum xy - \frac{(\sum x) (\sum y)}{n}] frå tala i dei to listene. [NOTE] ==== diff --git a/nn/modules/ROOT/pages/commands/Syy.adoc b/nn/modules/ROOT/pages/commands/Syy.adoc index 10d2858bb..c61f55ae4 100644 --- a/nn/modules/ROOT/pages/commands/Syy.adoc +++ b/nn/modules/ROOT/pages/commands/Syy.adoc @@ -3,7 +3,7 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] Syy[ ]:: - Finn den statistiske storleiken stem:[ \sum y^2 -\frac\{ (\sum y)^2}\{n}] frå _y_-koordinatane til punkta i lista. + Finn den statistiske storleiken stem:[ \sum y^2 -\frac{ (\sum y)^2}{n}] frå _y_-koordinatane til punkta i lista. [NOTE] ==== diff --git a/nn/modules/ROOT/pages/commands/Taylorpolynom.adoc b/nn/modules/ROOT/pages/commands/Taylorpolynom.adoc index 86b46c382..3292a6967 100644 --- a/nn/modules/ROOT/pages/commands/Taylorpolynom.adoc +++ b/nn/modules/ROOT/pages/commands/Taylorpolynom.adoc @@ -33,7 +33,7 @@ Taylorpolynom[ , , , ]:: *Døme:* -`++Taylorpolynom[x^3 sin(y), y, 3, 2]++` gjev _stem:[\frac\{1}\{2}(cos(3) x^\{3} (2 y - 6) + sin(3) x^\{3} (-y^\{2} + 6 +`++Taylorpolynom[x^3 sin(y), y, 3, 2]++` gjev _stem:[\frac{1}{2}(cos(3) x^\{3} (2 y - 6) + sin(3) x^\{3} (-y^\{2} + 6 y - 7))]_, som er Taylorrekka av andre grad med omsyn på _y_ til _x^3^ sin(y)_ om _y = 3_. ==== diff --git a/nn/modules/ROOT/pages/commands/TilEksponentiellForm.adoc b/nn/modules/ROOT/pages/commands/TilEksponentiellForm.adoc index 6f76660a8..c716190b4 100644 --- a/nn/modules/ROOT/pages/commands/TilEksponentiellForm.adoc +++ b/nn/modules/ROOT/pages/commands/TilEksponentiellForm.adoc @@ -12,7 +12,7 @@ TilEksponentiellForm[ ]:: *Døme:* -`++TilEksponentiellForm[1 + ί]++`gjev stem:[\sqrt\{2}e^\{\frac\{i\pi}\{4}}]. +`++TilEksponentiellForm[1 + ί]++`gjev stem:[\sqrt\{2}e^\{\frac{i\pi}{4}}]. ==== diff --git a/nn/modules/ROOT/pages/commands/TilPolar.adoc b/nn/modules/ROOT/pages/commands/TilPolar.adoc index 6e163fd80..45a4f179e 100644 --- a/nn/modules/ROOT/pages/commands/TilPolar.adoc +++ b/nn/modules/ROOT/pages/commands/TilPolar.adoc @@ -12,7 +12,7 @@ TilPolar[ ]:: *Døme:* -`++TilPolar[{1, sqrt(3)}]++` gjev _(2; stem:[\frac\{\pi}\{3}])_, som er polarkoordinatane til _(1, stem:[\sqrt\{3}])_. +`++TilPolar[{1, sqrt(3)}]++` gjev _(2; stem:[\frac{\pi}{3}])_, som er polarkoordinatane til _(1, stem:[\sqrt\{3}])_. ==== @@ -21,7 +21,7 @@ TilPolar[ ]:: *Døme:* -`++TilPolar[1 + sqrt(3) * ί]++` gjev _(2; stem:[\frac\{\pi}\{3}])_, som er polarkoordinatane til _1 + stem:[\sqrt\{3}] * +`++TilPolar[1 + sqrt(3) * ί]++` gjev _(2; stem:[\frac{\pi}{3}])_, som er polarkoordinatane til _1 + stem:[\sqrt\{3}] * ί_. ==== diff --git a/nn/modules/ROOT/pages/commands/Transponer.adoc b/nn/modules/ROOT/pages/commands/Transponer.adoc index 0da0eb661..163c7a423 100644 --- a/nn/modules/ROOT/pages/commands/Transponer.adoc +++ b/nn/modules/ROOT/pages/commands/Transponer.adoc @@ -10,8 +10,8 @@ Transponer[ ]:: *Døme:* -`++Transponer[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` gjev matrisa stem:[\begin\{pmatrix}1&4&7\\ 2&5&8\\ -3&6&9\end\{pmatrix}]. +`++Transponer[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]++` gjev matrisa stem:[\begin{pmatrix}1&4&7\\ 2&5&8\\ +3&6&9\end{pmatrix}]. ==== @@ -32,6 +32,6 @@ Transponer[ ]:: *Døme:* -`++Transponer[{{a, b}, {c, d}}]++` gjev matrisa stem:[\begin\{pmatrix}a&c\\b&d\end\{pmatrix}]. +`++Transponer[{{a, b}, {c, d}}]++` gjev matrisa stem:[\begin{pmatrix}a&c\\b&d\end{pmatrix}]. ==== diff --git a/nn/modules/ROOT/pages/commands/TrapesSum.adoc b/nn/modules/ROOT/pages/commands/TrapesSum.adoc index 37751e82b..7fb800efb 100644 --- a/nn/modules/ROOT/pages/commands/TrapesSum.adoc +++ b/nn/modules/ROOT/pages/commands/TrapesSum.adoc @@ -17,7 +17,7 @@ i to delintevall [-2, 0] og [0, 2] der det vert teikna to trapes med breidde lik Arealet som vert funne er 24. -Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac\{64}\{3}] i CAS-delen). +Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac{64}{3}] i CAS-delen). ==== diff --git a/nn/modules/ROOT/pages/commands/TrigKombiner.adoc b/nn/modules/ROOT/pages/commands/TrigKombiner.adoc index f07b00c1c..94aefbe55 100644 --- a/nn/modules/ROOT/pages/commands/TrigKombiner.adoc +++ b/nn/modules/ROOT/pages/commands/TrigKombiner.adoc @@ -19,7 +19,7 @@ TrigKombiner[ , ]:: [EXAMPLE] ==== -*Døme:* `++TrigKombiner[sin(x) cos(3x)]++` gjev funksjonen stem:[\frac\{sin(4x)-sin(2x)}\{2}]. +*Døme:* `++TrigKombiner[sin(x) cos(3x)]++` gjev funksjonen stem:[\frac{sin(4x)-sin(2x)}{2}]. ==== @@ -52,7 +52,7 @@ TrigKombiner[ , ]:: [EXAMPLE] ==== -*Døme:* `++TrigKombiner[sin(p) cos(3p)]++` gjev funksjonen stem:[\frac\{sin(4p)-sin(2p)}\{2}]. +*Døme:* `++TrigKombiner[sin(p) cos(3p)]++` gjev funksjonen stem:[\frac{sin(4p)-sin(2p)}{2}]. ==== diff --git a/nn/modules/ROOT/pages/commands/TrigUtvid.adoc b/nn/modules/ROOT/pages/commands/TrigUtvid.adoc index 41ca23e6e..4cfaf8906 100644 --- a/nn/modules/ROOT/pages/commands/TrigUtvid.adoc +++ b/nn/modules/ROOT/pages/commands/TrigUtvid.adoc @@ -11,14 +11,14 @@ TrigUtvid[ , ]:: [EXAMPLE] ==== -*Døme:* `++TrigUtvid[tan(x + y), tan(x)]++` gjev stem:[\frac\{-tan(x) - tan(y)}\{tan(x) tan(y) - 1}]. +*Døme:* `++TrigUtvid[tan(x + y), tan(x)]++` gjev stem:[\frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}]. ==== [EXAMPLE] ==== -*Døme:* `++TrigUtvid[tan(x + y)]++` gjev stem:[\frac\{cos(x) sin(y) + cos(y) sin(x)}\{cos(x) cos(y) - sin(x) sin(y)}]. +*Døme:* `++TrigUtvid[tan(x + y)]++` gjev stem:[\frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}]. ==== @@ -50,28 +50,28 @@ TrigUtvid[ , , , ]:: ==== *Døme:* `++TrigUtvid[csc(x) - cot(x) + csc(y) - cot(y), tan(x), x/2, y/2]++` gjev -stem:[tan(\frac\{x}\{2})+tan(\frac\{y}\{2})]. +stem:[tan(\frac{x}{2})+tan(\frac{y}{2})]. ==== [EXAMPLE] ==== -*Døme:* `++TrigUtvid[sin(x), sin(x), x/2]++` gjev stem:[2cos(\frac\{x}\{2})sin(\frac\{x}\{2})]. +*Døme:* `++TrigUtvid[sin(x), sin(x), x/2]++` gjev stem:[2cos(\frac{x}{2})sin(\frac{x}{2})]. ==== [EXAMPLE] ==== -*Døme:* `++TrigUtvid[tan(x + y), tan(x)]++` gjev stem:[\frac\{-tan(x) - tan(y)}\{tan(x) tan(y) - 1}]. +*Døme:* `++TrigUtvid[tan(x + y), tan(x)]++` gjev stem:[\frac{-tan(x) - tan(y)}{tan(x) tan(y) - 1}]. ==== [EXAMPLE] ==== -*Døme:* `++TrigUtvid[tan(x + y)]++` gjev stem:[\frac\{cos(x) sin(y) + cos(y) sin(x)}\{cos(x) cos(y) - sin(x) sin(y)}]. +*Døme:* `++TrigUtvid[tan(x + y)]++` gjev stem:[\frac{cos(x) sin(y) + cos(y) sin(x)}{cos(x) cos(y) - sin(x) sin(y)}]. ==== diff --git a/nn/modules/ROOT/pages/commands/Varians.adoc b/nn/modules/ROOT/pages/commands/Varians.adoc index b699f854d..afc9df1d9 100644 --- a/nn/modules/ROOT/pages/commands/Varians.adoc +++ b/nn/modules/ROOT/pages/commands/Varians.adoc @@ -43,6 +43,6 @@ Varians[ ]:: [EXAMPLE] ==== -*Døme:* `++Varians[{2, 3, 5, a}]++` gjev _stem:[\frac\{3a^2-20a+52}\{16}]_. +*Døme:* `++Varians[{2, 3, 5, a}]++` gjev _stem:[\frac{3a^2-20a+52}{16}]_. ==== diff --git a/nn/modules/ROOT/pages/commands/VariansUtval.adoc b/nn/modules/ROOT/pages/commands/VariansUtval.adoc index 629e59181..acd34ee08 100644 --- a/nn/modules/ROOT/pages/commands/VariansUtval.adoc +++ b/nn/modules/ROOT/pages/commands/VariansUtval.adoc @@ -44,6 +44,6 @@ svaret og dersom lista inneheld udefinerte variablar vert det gjeve ein formel f [EXAMPLE] ==== -*Døme:* `++Varians[{2, 3, 5, a}]++` gjev _stem:[\frac\{3a^2-20a+52}\{12}]_. +*Døme:* `++Varians[{2, 3, 5, a}]++` gjev _stem:[\frac{3a^2-20a+52}{12}]_. ==== diff --git a/nn/modules/ROOT/pages/commands/VelLinjebreidde.adoc b/nn/modules/ROOT/pages/commands/VelLinjebreidde.adoc index 29e44826e..102eeeee0 100644 --- a/nn/modules/ROOT/pages/commands/VelLinjebreidde.adoc +++ b/nn/modules/ROOT/pages/commands/VelLinjebreidde.adoc @@ -4,7 +4,7 @@ ifdef::env-github[:imagesdir: /nn/modules/ROOT/assets/images] VelLinjebreidde[ , ]:: Set linjebreidda til den gjevne xref:/Linjer_og_aksar.adoc[linja] (eller linjene til objektet) til - stem:[\frac\{n}\{2}] pikslar. _n_ må vere mellom 0 og 13. + stem:[\frac{n}{2}] pikslar. _n_ må vere mellom 0 og 13. [NOTE] ==== diff --git a/nn/modules/ROOT/pages/commands/VenstreSum.adoc b/nn/modules/ROOT/pages/commands/VenstreSum.adoc index 0ccb3fd07..9ba511311 100644 --- a/nn/modules/ROOT/pages/commands/VenstreSum.adoc +++ b/nn/modules/ROOT/pages/commands/VenstreSum.adoc @@ -22,7 +22,7 @@ Høgda til det andre rektangelet er stem:[f(0)=0^2+3\cdot 0+4=4]. Arealet som vert returnert er: stem:[2(2+4)=12]. -Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac\{64}\{3}] i CAS-delen). +Det eksakte svaret gjeve av `++Integral[f, -2, 2]]++` er 21.33 (evt. stem:[\frac{64}{3}] i CAS-delen). ==== diff --git a/nn/modules/ROOT/pages/commands/Vinkel.adoc b/nn/modules/ROOT/pages/commands/Vinkel.adoc index 30170ec07..3a2891918 100644 --- a/nn/modules/ROOT/pages/commands/Vinkel.adoc +++ b/nn/modules/ROOT/pages/commands/Vinkel.adoc @@ -33,7 +33,7 @@ klokka vil dei ytre vinklane verte gjevne. ==== *Merk:* Dette er det same som å konvertere radianar til gradar (avgrensa til [0°, 360°]). I intervallet [0, 2π] er det -det same som å gange med stem:[\frac\{360}\{2π}]. +det same som å gange med stem:[\frac{360}{2π}]. ==== diff --git a/tr/modules/ROOT/pages/commands/GeometrikYer.adoc b/tr/modules/ROOT/pages/commands/GeometrikYer.adoc index b36b08dcd..e7518a2c4 100644 --- a/tr/modules/ROOT/pages/commands/GeometrikYer.adoc +++ b/tr/modules/ROOT/pages/commands/GeometrikYer.adoc @@ -8,7 +8,7 @@ GeometrikYer( , ):: GeometrikYer( , ):: Verilen noktada türevi verilen eğim alanına eşit olan geometrik yeri (eğriyi) verir. GeometrikYer( , ):: - Verilen noktada stem:[\frac{dy}\{dx}=f(x,y)] diferansiyel denkleminin çözümüne eşit olan geometrik yeri (eğriyi) + Verilen noktada stem:[\frac{dy}{dx}=f(x,y)] diferansiyel denkleminin çözümüne eşit olan geometrik yeri (eğriyi) verir. Sonuç sayısal olarak hesaplanır. [NOTE] diff --git "a/tr/modules/ROOT/pages/commands/\303\207\303\266zADD.adoc" "b/tr/modules/ROOT/pages/commands/\303\207\303\266zADD.adoc" index debb0f73c..3d8f3ecd3 100644 --- "a/tr/modules/ROOT/pages/commands/\303\207\303\266zADD.adoc" +++ "b/tr/modules/ROOT/pages/commands/\303\207\303\266zADD.adoc" @@ -2,19 +2,19 @@ ifdef::env-github[:imagesdir: /tr/modules/ROOT/assets/images] ÇözADD( ):: - Birinci dereceden stem:[\frac{dy}\{dx}(x)=f'(x, y(x))] adi diferansiyel denkleminin (ADD) tam çözümünü bulmayı dener. + Birinci dereceden stem:[\frac{dy}{dx}(x)=f'(x, y(x))] adi diferansiyel denkleminin (ADD) tam çözümünü bulmayı dener. ÇözADD( , ):: - Birinci dereceden stem:[\frac{dy}\{dx}(x)=f'(x, y(x))] ADD'nin tam çözümünü bulmayı dener ve verilen noktadan geçen + Birinci dereceden stem:[\frac{dy}{dx}(x)=f'(x, y(x))] ADD'nin tam çözümünü bulmayı dener ve verilen noktadan geçen çözümü verir. ÇözADD( , , , , ):: - Birinci dereceden stem:[\frac{dy}\{dx}=f'(x, y)] ADD'ni _x_ için verilen başlangıç noktası, bitiş ve adım değerlerini + Birinci dereceden stem:[\frac{dy}{dx}=f'(x, y)] ADD'ni _x_ için verilen başlangıç noktası, bitiş ve adım değerlerini kullanarak sayısal olarak çözer. [EXAMPLE] ==== `++ÇözADD(-x*y, x(A), y(A), 5, 0.1)++` komutu önceden tanımlanmış _A_ noktasını başlangıç noktası olarak kullanarak -stem:[\frac{dy}\{dx}=-xy] denklemini çözer. +stem:[\frac{dy}{dx}=-xy] denklemini çözer. ==== @@ -51,7 +51,7 @@ stem:[c_\{1}] karşılık gelen bir sürgü ile yardımcı nesne olarak oluştur ==== ÇözADD( , , , , , ):: - Birinci dereceden stem:[\frac{dy}\{dx}=\frac{f(x, y)}\{g(x, y)}] ADD'ni dahili bir t parametresinin başlangıç + Birinci dereceden stem:[\frac{dy}{dx}=\frac{f(x, y)}\{g(x, y)}] ADD'ni dahili bir t parametresinin başlangıç noktası, en büyük değeri ve adım değerini kullanarak çözer. Komutun bu versiyonu ilk komutun çalışmadığı örneğin çözüm eğrisinin düşey noktalarının olduğu durumlarda çalışabilir. ÇözADD( , , , , , , , ):: @@ -68,7 +68,7 @@ kullanarak bu ikinci dereceden ADD çözer. [EXAMPLE] ==== -`++ÇözADD(-x, y, x(A), y(A), 5, 0.1)++` komutu stem:[\frac{dy}\{dx}=- \frac{x}\{y} ] denklemini önceden tanımlı _A_ +`++ÇözADD(-x, y, x(A), y(A), 5, 0.1)++` komutu stem:[\frac{dy}{dx}=- \frac{x}\{y} ] denklemini önceden tanımlı _A_ noktasını başlangıç noktası gibi kullanarak çözer. ==== diff --git a/zh/modules/ROOT/pages/LaTeX.adoc b/zh/modules/ROOT/pages/LaTeX.adoc index 165281b44..5e724e886 100644 --- a/zh/modules/ROOT/pages/LaTeX.adoc +++ b/zh/modules/ROOT/pages/LaTeX.adoc @@ -33,7 +33,7 @@ further information. |=== |LaTeX input |Result |a \cdot b |stem:[a \cdot b] -|\frac\{a}\{b} |stem:[\frac\{a}\{b}] +|\frac{a}{b} |stem:[\frac{a}{b}] |\sqrt\{x} |stem:[\sqrt\{x}] |\sqrt[n]\{x} |stem:[\sqrt[n]\{x}] |\vec\{v} |stem:[\vec\{v}] diff --git a/zh/modules/ROOT/pages/commands/CSolutions.adoc b/zh/modules/ROOT/pages/commands/CSolutions.adoc index 522618fda..ec59e15f9 100644 --- a/zh/modules/ROOT/pages/commands/CSolutions.adoc +++ b/zh/modules/ROOT/pages/commands/CSolutions.adoc @@ -16,8 +16,8 @@ CSolutions[ , ]:: ==== -`++CSolutions[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` yields stem:[\begin\{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - -ί\end\{pmatrix}], the complex solutions of _y^2^ = x - 1_ and _x = 2 * y - 1_. +`++CSolutions[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]++` yields stem:[\begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - +ί\end{pmatrix}], the complex solutions of _y^2^ = x - 1_ and _x = 2 * y - 1_. ==== diff --git a/zh/modules/ROOT/pages/commands/Cauchy.adoc b/zh/modules/ROOT/pages/commands/Cauchy.adoc index e7a7f9c43..6d922b95e 100644 --- a/zh/modules/ROOT/pages/commands/Cauchy.adoc +++ b/zh/modules/ROOT/pages/commands/Cauchy.adoc @@ -30,6 +30,6 @@ Cauchy[ , , ]:: ==== -`++Cauchy[1, 2, 3]++` yields _stem:[\frac\{3}\{4}]_. +`++Cauchy[1, 2, 3]++` yields _stem:[\frac{3}{4}]_. ==== diff --git a/zh/modules/ROOT/pages/commands/ChiSquared.adoc b/zh/modules/ROOT/pages/commands/ChiSquared.adoc index 71978a48d..b994c5e2e 100644 --- a/zh/modules/ROOT/pages/commands/ChiSquared.adoc +++ b/zh/modules/ROOT/pages/commands/ChiSquared.adoc @@ -38,6 +38,6 @@ ChiSquared[ , ]:: ==== -`++ChiSquared[4, 3]++` yields stem:[\gamma(2, \frac\{3}\{2})], which is approximately _0.44_. +`++ChiSquared[4, 3]++` yields stem:[\gamma(2, \frac{3}{2})], which is approximately _0.44_. ==== diff --git a/zh/modules/ROOT/pages/commands/Element.adoc b/zh/modules/ROOT/pages/commands/Element.adoc index 31c9dbcb7..cd93c05af 100644 --- a/zh/modules/ROOT/pages/commands/Element.adoc +++ b/zh/modules/ROOT/pages/commands/Element.adoc @@ -35,7 +35,7 @@ Element( <矩陣>, , ):: ==== -`++Element({{1, 3, 2}, {0, 3, -2}}, 2, 3)++` 回傳 stem:[\begin\{pmatrix}1&3&2\\0&3&-2\end\{pmatrix}] 第 2 列第 3 +`++Element({{1, 3, 2}, {0, 3, -2}}, 2, 3)++` 回傳 stem:[\begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}] 第 2 列第 3 行的元素 _-2_。 ==== @@ -49,7 +49,7 @@ Element( <矩陣>, , ):: ==== -`++Element({{a, b, c}, {d, e, f}}, 2, 3)++` 回傳 stem:[\begin\{pmatrix}a&b&c\\d&e&f\end\{pmatrix}] 第 2 列第 3 行的元素 +`++Element({{a, b, c}, {d, e, f}}, 2, 3)++` 回傳 stem:[\begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}] 第 2 列第 3 行的元素 _f_。 ==== diff --git a/zh/modules/ROOT/pages/commands/FractionalPart.adoc b/zh/modules/ROOT/pages/commands/FractionalPart.adoc index 9c5a28628..7a86b583a 100644 --- a/zh/modules/ROOT/pages/commands/FractionalPart.adoc +++ b/zh/modules/ROOT/pages/commands/FractionalPart.adoc @@ -12,8 +12,8 @@ FractionalPart[ ]:: ==== -* `++FractionalPart[6/5]++` yields stem:[\frac\{1}\{5}], -* `++FractionalPart[1/5 + 3/2 + 2]++` yields stem:[\frac\{7}\{10}]. +* `++FractionalPart[6/5]++` yields stem:[\frac{1}{5}], +* `++FractionalPart[1/5 + 3/2 + 2]++` yields stem:[\frac{7}{10}]. ==== diff --git a/zh/modules/ROOT/pages/commands/HyperGeometric.adoc b/zh/modules/ROOT/pages/commands/HyperGeometric.adoc index c2ff03d15..80932a6b2 100644 --- a/zh/modules/ROOT/pages/commands/HyperGeometric.adoc +++ b/zh/modules/ROOT/pages/commands/HyperGeometric.adoc @@ -45,13 +45,13 @@ HyperGeometric[ , , , , , ] ==== -`++ImplicitDerivative[x^2 + y^2, x, y]++` yields _-stem:[\frac\{x}\{y}]_. +`++ImplicitDerivative[x^2 + y^2, x, y]++` yields _-stem:[\frac{x}{y}]_. ==== diff --git a/zh/modules/ROOT/pages/commands/Invert.adoc b/zh/modules/ROOT/pages/commands/Invert.adoc index 1e1e1f2cc..a6a8f1a2b 100644 --- a/zh/modules/ROOT/pages/commands/Invert.adoc +++ b/zh/modules/ROOT/pages/commands/Invert.adoc @@ -18,8 +18,8 @@ Invert[Matrix]:: *範例：* - `++Invert[{{a, b}, {c, d}}]++` gives you the inverse matrix stem:[ \begin\{pmatrix} \frac\{d}\{a* d- b* c} & - \frac\{-b}\{a* d- b* c}\\ \frac\{-c}\{a* d- b* c}& \frac\{a}\{ a* d- b* c} \end\{pmatrix} ]. + `++Invert[{{a, b}, {c, d}}]++` gives you the inverse matrix stem:[ \begin{pmatrix} \frac{d}{a* d- b* c} & + \frac{-b}{a* d- b* c}\\ \frac{-c}{a* d- b* c}& \frac{a}{ a* d- b* c} \end{pmatrix} ]. ==== @@ -27,7 +27,7 @@ Invert[Matrix]:: ==== -`++Invert[{{1, 2}, {3, 4}}]++` gives you the inverse matrix stem:[ \begin\{pmatrix} -2 & 1\\ 1.5 & -0.5 \end\{pmatrix} +`++Invert[{{1, 2}, {3, 4}}]++` gives you the inverse matrix stem:[ \begin{pmatrix} -2 & 1\\ 1.5 & -0.5 \end{pmatrix} ]. ==== diff --git a/zh/modules/ROOT/pages/commands/PartialFractions.adoc b/zh/modules/ROOT/pages/commands/PartialFractions.adoc index 981d2cf38..2cdf2765c 100644 --- a/zh/modules/ROOT/pages/commands/PartialFractions.adoc +++ b/zh/modules/ROOT/pages/commands/PartialFractions.adoc @@ -11,7 +11,7 @@ PartialFractions[ ]:: ==== -`++PartialFractions[x^2 / (x^2 - 2x + 1)]++` yields _1 + stem:[\frac\{2}\{x - 1}] + stem:[\frac\{1}\{x^2 - 2x + 1}]._ +`++PartialFractions[x^2 / (x^2 - 2x + 1)]++` yields _1 + stem:[\frac{2}{x - 1}] + stem:[\frac{1}{x^2 - 2x + 1}]._ ==== @@ -24,7 +24,7 @@ PartialFractions[ ]:: ==== -`++PartialFractions[x^2 / (x^2 - 2x + 1)]++` yields _1 + stem:[\frac\{2}\{x - 1}] + stem:[\frac\{1}\{x^2 - 2x + 1}]._ +`++PartialFractions[x^2 / (x^2 - 2x + 1)]++` yields _1 + stem:[\frac{2}{x - 1}] + stem:[\frac{1}{x^2 - 2x + 1}]._ ==== @@ -36,6 +36,6 @@ PartialFractions[ , ]:: ==== -`++PartialFractions[a^2 / (a^2 - 2a + 1), a]++` yields _1 + stem:[\frac\{2}\{a - 1}] + stem:[\frac\{1}\{a^2 - 2a + 1}]._ +`++PartialFractions[a^2 / (a^2 - 2a + 1), a]++` yields _1 + stem:[\frac{2}{a - 1}] + stem:[\frac{1}{a^2 - 2a + 1}]._ ==== diff --git a/zh/modules/ROOT/pages/commands/PathParameter.adoc b/zh/modules/ROOT/pages/commands/PathParameter.adoc index 5c5e6b66b..848010d98 100644 --- a/zh/modules/ROOT/pages/commands/PathParameter.adoc +++ b/zh/modules/ROOT/pages/commands/PathParameter.adoc @@ -30,8 +30,8 @@ image:Bulbgraph.png[Bulbgraph.png,width=44,height=54] 你知道如何紀錄一 下表中用到兩個函數： -* stem:[f(x)=\frac\{x}\{1+|x|}] 將 (-∞, +∞) 映至 (-1,1) -* stem:[\phi(X,A,B)=\frac\{\overrightarrow\{XA}\cdot\overrightarrow\{AB}}\{|AB|^2}] 將直線 AB 上的點 X 映至實數，其中 A +* stem:[f(x)=\frac{x}{1+|x|}] 將 (-∞, +∞) 映至 (-1,1) +* stem:[\phi(X,A,B)=\frac{\overrightarrow\{XA}cdot\overrightarrow\{AB}}\{|AB|^2}] 將直線 AB 上的點 X 映至實數，其中 A 對應到 0、B 對應到 1。 [cols=",",] @@ -42,25 +42,25 @@ image:Bulbgraph.png[Bulbgraph.png,width=44,height=54] 你知道如何紀錄一 |線段 AB |stem:[\phi(X,A,B)] -|圓 (圓心為 C 半徑為 r ) |點 stem:[X=C+r(\cos\alpha,\sin\alpha)] 的參數為 stem:[\frac\{\alpha+\pi}\{2\pi}]，其中 +|圓 (圓心為 C 半徑為 r ) |點 stem:[X=C+r(\cos\alpha,\sin\alpha)] 的參數為 stem:[\frac{\alpha+\pi}{2\pi}]，其中 stem:[\alpha\in(-\pi,\pi)] |橢圓 (中心為 C 半向徑為 stem:[\vec\{a}], stem:[\vec\{b}]) |點 stem:[X=C+(\cos\alpha)\vec\{a} +(\sin\alpha)\vec\{b}] -的參數為 stem:[\frac\{\alpha+\pi}\{2\pi}]，其中 stem:[\alpha\in(-\pi,\pi)] +的參數為 stem:[\frac{\alpha+\pi}{2\pi}]，其中 stem:[\alpha\in(-\pi,\pi)] |雙曲線 | |拋物線 (頂點為 V 軸向為 stem:[\vec\{v}]) |點 stem:[V+p\cdot t^2\cdot \vec\{v}+p\cdot t \cdot \vec\{v}^\{\perp}] 的參數為 stem:[\frac\{f(t)+1}2] -|折線 A~1~...A~n~ |若 X 在 A~k~A~k+1~ 上，則其參數為 stem:[\frac\{k-1+\phi(X,A,B)}\{n}] +|折線 A~1~...A~n~ |若 X 在 A~k~A~k+1~ 上，則其參數為 stem:[\frac{k-1+\phi(X,A,B)}{n}] -|多邊形 A~1~...A~n~ |若 X 在 A~k~A~k+1~ 上 (假設 A~n+1~=A~1~)，則其參數為 stem:[\frac\{k-1+\phi(X,A,B)}\{n+1}] +|多邊形 A~1~...A~n~ |若 X 在 A~k~A~k+1~ 上 (假設 A~n+1~=A~1~)，則其參數為 stem:[\frac{k-1+\phi(X,A,B)}{n+1}] |路徑集合 L=\{p~1~,...,p~n~} |若 X 在 p~k~ 上，且 X 相對於 p~k~ 的參數為 t 的話，則相對於 L 的參數為 -stem:[\frac\{k-1+t}\{n}] +stem:[\frac{k-1+t}{n}] -|點集 L=\{A~1~,...,A~n~} |A~k~ 的路徑參數為 stem:[\frac\{k-1}\{n}]。指令 Point[L,t] 會得到 stem:[A_\{\lfloor +|點集 L=\{A~1~,...,A~n~} |A~k~ 的路徑參數為 stem:[\frac{k-1}{n}]。指令 Point[L,t] 會得到 stem:[A_\{\lfloor tn\rfloor+1}]。 |軌跡 | diff --git a/zh/modules/ROOT/pages/commands/Rationalize.adoc b/zh/modules/ROOT/pages/commands/Rationalize.adoc index b8c860b1e..b8b3261b4 100644 --- a/zh/modules/ROOT/pages/commands/Rationalize.adoc +++ b/zh/modules/ROOT/pages/commands/Rationalize.adoc @@ -12,7 +12,7 @@ Rationalize[ ]:: ==== -`++Rationalize[3.5]++` yields stem:[\frac\{7}\{2}]. +`++Rationalize[3.5]++` yields stem:[\frac{7}{2}]. ==== diff --git a/zh/modules/ROOT/pages/commands/ReducedRowEchelonForm.adoc b/zh/modules/ROOT/pages/commands/ReducedRowEchelonForm.adoc index cdf0ca491..3c6d749a5 100644 --- a/zh/modules/ROOT/pages/commands/ReducedRowEchelonForm.adoc +++ b/zh/modules/ROOT/pages/commands/ReducedRowEchelonForm.adoc @@ -19,7 +19,7 @@ ReducedRowEchelonForm[ ]:: ==== -`++ReducedRowEchelonForm[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` yields the matrix stem:[ \begin\{pmatrix} 1 & 0 & 0 \\ 0 -& 1 & 0 \\ 0 & 0 & 1 \end\{pmatrix}]. +`++ReducedRowEchelonForm[{{1, 6, 4}, {2, 8, 9}, {4, 5, 6}}]++` yields the matrix stem:[ \begin{pmatrix} 1 & 0 & 0 \\ 0 +& 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}]. ==== diff --git a/zh/modules/ROOT/pages/commands/SetColor.adoc b/zh/modules/ROOT/pages/commands/SetColor.adoc index 2c6573ad0..317cbd298 100644 --- a/zh/modules/ROOT/pages/commands/SetColor.adoc +++ b/zh/modules/ROOT/pages/commands/SetColor.adoc @@ -22,8 +22,8 @@ SetColor[ 物件名稱, 紅色值, 綠色值, 藍色值 ] `++SetColor[a, 0, 1, 0]++` -如果顏色值不在 0 到 1 之間，系統會利用函數 stem:[f(x)=2\left|\frac\{x}\{2}-\mathrm -round\left(\frac\{x}\{2}\right)\right|] 將數值轉至 0 到 1 之間。 +如果顏色值不在 0 到 1 之間，系統會利用函數 stem:[f(x)=2\left|\frac{x}{2}-\mathrm +round\left(\frac{x}{2}\right)\right|] 將數值轉至 0 到 1 之間。 image:ColorMapping.png[ColorMapping.png,width=331,height=62] SetColor[ 物件名稱, 顏色字串 ] diff --git a/zh/modules/ROOT/pages/commands/SetLineThickness.adoc b/zh/modules/ROOT/pages/commands/SetLineThickness.adoc index c40c67596..4b1263323 100644 --- a/zh/modules/ROOT/pages/commands/SetLineThickness.adoc +++ b/zh/modules/ROOT/pages/commands/SetLineThickness.adoc @@ -3,4 +3,4 @@ ifdef::env-github[:imagesdir: /zh/modules/ROOT/assets/images] SetLineThickness( <物件>, <數值 N> ):: - 設定 <物件> 的線寬為 stem:[\frac\{N}\{2}] 像素。 + 設定 <物件> 的線寬為 stem:[\frac{N}{2}] 像素。 diff --git a/zh/modules/ROOT/pages/commands/Sum.adoc b/zh/modules/ROOT/pages/commands/Sum.adoc index 817e31fc9..0d9c6b592 100644 --- a/zh/modules/ROOT/pages/commands/Sum.adoc +++ b/zh/modules/ROOT/pages/commands/Sum.adoc @@ -57,7 +57,7 @@ Sum( <運算式 f(t)>, <變數名 t>, <起始值>, <結束值> ):: * `++Sum(n^2, n, 1, 3)++` 產生 _14_。 -* `++Sum(r^k, k, 0, n)++` 產生 _stem:[\frac\{r^\{n+1} }\{r - 1} - \frac\{1}\{r - 1}]_。 -* `++Sum((1/3)^n, n, 0, Infinity)++` 產生 _stem:[\frac\{3}\{2}]_。 +* `++Sum(r^k, k, 0, n)++` 產生 _stem:[\frac\{r^\{n+1} }\{r - 1} - \frac{1}{r - 1}]_。 +* `++Sum((1/3)^n, n, 0, Infinity)++` 產生 _stem:[\frac{3}{2}]_。 ==== diff --git a/zh/modules/ROOT/pages/commands/TableText.adoc b/zh/modules/ROOT/pages/commands/TableText.adoc index cd69878fd..db5fcf6e4 100644 --- a/zh/modules/ROOT/pages/commands/TableText.adoc +++ b/zh/modules/ROOT/pages/commands/TableText.adoc @@ -69,7 +69,7 @@ image:200px-TableuPourCent.png[TableuPourCent.png,width=200,height=89]。 ==== -* `++TableText({1, 2}, {3, 4}, "c()")++` 建立表格文字 stem:[\begin\{pmatrix}\{} 1 & 2 \\ 3 & 4 \\ \end\{pmatrix} ] +* `++TableText({1, 2}, {3, 4}, "c()")++` 建立表格文字 stem:[\begin{pmatrix}\{} 1 & 2 \\ 3 & 4 \\ \end{pmatrix} ] * `++TableText({1, 2}, {3, 4}, "c|_")++` 建立表格文字 image:50px-TabellaTesto.png[TabellaTesto.png,width=50,height=56] * `++TableText({1, 2}, {3, 4}, "||")++` 建立表格文字 stem:[ \begin\{vmatrix}\{} 1 & 2 \\ 3 & 4 \\ \end\{vmatrix} ] * `++TableText({1, 2}, {3, 4}, "||||")++` 建立表格文字 stem:[\begin\{Vmatrix}\{} 1 & 2 \\ 3 & 4 \\ \end\{Vmatrix} ] diff --git a/zh/modules/ROOT/pages/commands/Text.adoc b/zh/modules/ROOT/pages/commands/Text.adoc index 74a5514a8..ffb12f0bf 100644 --- a/zh/modules/ROOT/pages/commands/Text.adoc +++ b/zh/modules/ROOT/pages/commands/Text.adoc @@ -38,6 +38,6 @@ Text[〈物件〉, 〈文字位置〉, 〈代入變數值〉, 〈含 LaTeX 數 [EXAMPLE] ==== 假設 `++n = 3++`，則 `++Text["\frac{1}{" + (2^n) + "}", A, true, true]++` -會得到「stem:[\frac\{1}\{8}]」的文字方塊，它的左上角會對齊 A 點。 +會得到「stem:[\frac{1}{8}]」的文字方塊，它的左上角會對齊 A 點。 ==== diff --git a/zh/modules/ROOT/pages/commands/Vector.adoc b/zh/modules/ROOT/pages/commands/Vector.adoc index fce3be6f2..739cc1770 100644 --- a/zh/modules/ROOT/pages/commands/Vector.adoc +++ b/zh/modules/ROOT/pages/commands/Vector.adoc @@ -11,7 +11,7 @@ Vector( <始點>, <終點> ):: ==== -`++Vector((1, 1), (3, 4))++` 產生 _u = stem:[\begin\{pmatrix}2\\3\end\{pmatrix}]_。 +`++Vector((1, 1), (3, 4))++` 產生 _u = stem:[\begin{pmatrix}2\\3\end{pmatrix}]_。 ==== @@ -19,7 +19,7 @@ Vector( <始點>, <終點> ):: ==== -`++Vector((3, 2))++` 產生 _u = stem:[\begin\{pmatrix}3\\2\end\{pmatrix}]_。 +`++Vector((3, 2))++` 產生 _u = stem:[\begin{pmatrix}3\\2\end{pmatrix}]_。 ==== diff --git "a/zh/modules/ROOT/pages/\347\211\251\344\273\266\345\220\215\347\250\261\350\210\207\346\250\231\347\261\244.adoc" "b/zh/modules/ROOT/pages/\347\211\251\344\273\266\345\220\215\347\250\261\350\210\207\346\250\231\347\261\244.adoc" index bdec0ece2..f79c99072 100644 --- "a/zh/modules/ROOT/pages/\347\211\251\344\273\266\345\220\215\347\250\261\350\210\207\346\250\231\347\261\244.adoc" +++ "b/zh/modules/ROOT/pages/\347\211\251\344\273\266\345\220\215\347\250\261\350\210\207\346\250\231\347\261\244.adoc" @@ -79,6 +79,6 @@ box displayed at the end of the _Caption_ field. [EXAMPLE] ==== If you want to display a nicely formatted math text, use LaTeX in captions, e.g. to display a fraction like -stem:[ \frac\{a}\{b} ], in the caption field type: *`++$\frac{a}{b}$++`*. +stem:[ \frac{a}{b} ], in the caption field type: *`++$\frac{a}{b}$++`*. ==== diff --git "a/zh/modules/ROOT/pages/\347\237\251\351\231\243.adoc" "b/zh/modules/ROOT/pages/\347\237\251\351\231\243.adoc" index a0ec4a620..b32c074ae 100644 --- "a/zh/modules/ROOT/pages/\347\237\251\351\231\243.adoc" +++ "b/zh/modules/ROOT/pages/\347\237\251\351\231\243.adoc" @@ -6,8 +6,8 @@ GeoGebra 支援實數**矩陣**（matrix），將矩陣的每一列作為元素 [EXAMPLE] ==== - 在 GeoGebra 中，用 \{\{1, 2, 3}, \{4, 5, 6}, \{7, 8, 9}} 表示一個 3x3 矩陣 stem:[\begin\{pmatrix}1&2&3\\ -4&5&6\\ 7&8&9 \end\{pmatrix}] + 在 GeoGebra 中，用 \{\{1, 2, 3}, \{4, 5, 6}, \{7, 8, 9}} 表示一個 3x3 矩陣 stem:[\begin{pmatrix}1&2&3\\ +4&5&6\\ 7&8&9 \end{pmatrix}] ====