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Zbynek Konecny committed Jan 23, 2025
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8 changes: 4 additions & 4 deletions bs/modules/ROOT/pages/Faktori_Naredba.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -59,10 +59,10 @@ Faktori[ <Broj> ]::
[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^_.
====

Expand All @@ -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}].
====
10 changes: 5 additions & 5 deletions bs/modules/ROOT/pages/JediničniNormalniVektor_Naredba.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -12,8 +12,8 @@ JediničniNormalniVektor[ <Vektor> ]::
[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}]__.__
====

Expand All @@ -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}]_.
====

Expand All @@ -38,7 +38,7 @@ JediničniNormalniVektor[ <Vektor> ]::
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}}}]}_.
====
12 changes: 6 additions & 6 deletions bs/modules/ROOT/pages/JediničniVektor_Naredba.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -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}]_.
====

Expand All @@ -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}]_.
====

Expand All @@ -45,14 +45,14 @@ JediničniVektor[ <Vektor> ]::
[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}}}])_.
====
2 changes: 1 addition & 1 deletion bs/modules/ROOT/pages/LaTeX.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -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}]
Expand Down
2 changes: 1 addition & 1 deletion bs/modules/ROOT/pages/VektorSmjera_Naredba.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -8,7 +8,7 @@ VektorSmjera[ <Prava> ]::
[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} ]
====

Expand Down
2 changes: 1 addition & 1 deletion bs/modules/ROOT/pages/ZipfDist_Naredba.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -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}]_.
====
20 changes: 10 additions & 10 deletions de/modules/ROOT/pages/commands/LöseDgl.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -3,19 +3,19 @@
ifdef::env-github[:imagesdir: /de/modules/ROOT/assets/images]

LöseDgl( <f'(x, y)> )::
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( <f'(x, y)>, <Punkt von f> )::
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( <f'(x, y)>, <Start x>, <Start y>, <Ende x>, <Schrittweite> )::
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_.

====
Expand All @@ -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.

====

Expand All @@ -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( <y'>, <x'>, <Start x>, <Start y>, <Ende t>, <Schrittweite> )::
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( <b(x)>, <c(x)>, <f(x)>, <Start x>, <Start y>, <Start y'>, <Ende x>, <Schrittweite> )::
Expand All @@ -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_.

====
Expand Down Expand Up @@ -138,8 +138,8 @@ LöseDgl( <Gleichung>, <Abhängige Variable>, <Unabhängige Variable>, <Punkt(e)
[EXAMPLE]
====

`++LöseDgl[y'' - 3y' + 2 = x, (2, 3), (1, 2)]++` berechnet stem:[ y = \frac{-9 x^2 e^3 + 30 x e^3 - 32 \{(e^3)}^2 + 138
e^3 + 32 e^\{3 x} }\{54 e^3} ].
`++LöseDgl[y'' - 3y' + 2 = x, (2, 3), (1, 2)]++` berechnet
stem:[ y = \frac{-9 x^2 e^3 + 30 x e^3 - 32 {(e^3)}^2 + 138 e^3 + 32 e^{3 x} }{54 e^3} ].

====
Expand Down
2 changes: 1 addition & 1 deletion de/modules/ROOT/pages/commands/Ortslinie.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -9,7 +9,7 @@ Ortslinie[ <Punkt Q, der die Ortslinie erzeugt>, <Schieberegler t> ]::
Ortslinie( <Richtungsfeld>, <Punkt> )::
Erzeugt eine Ortslinie, welche dem Richtungsfeld im angegebenen Punkt entspricht.
Ortslinie( <f(x, y)>, <Punkt> )::
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]
Expand Down
8 changes: 4 additions & 4 deletions de/modules/ROOT/pages/commands/Richtungsfeld.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -4,7 +4,7 @@ ifdef::env-github[:imagesdir: /de/modules/ROOT/assets/images]

Richtungsfeld( <f(x,y)> )::
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]
====
Expand All @@ -14,17 +14,17 @@ Richtungsfeld( <f(x,y)> )::
====

Richtungsfeld( <f(x,y)>, <Zahl n> )::
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( <f(x,y)>, <Zahl n>, <Längenfaktor a> )::
Zeichnet das Richtungsfeld der Differentialgleichung stem:[\frac{dy}\{dx}=f(x,y)]. Der Längenfaktor 0<a≤1 bestimmt
Zeichnet das Richtungsfeld der Differentialgleichung stem:[\frac{dy}{dx}=f(x,y)]. Der Längenfaktor 0<a≤1 bestimmt
dabei die Länge der Strecken.

Richtungsfeld( <f(x,y)>, <Zahl n>, <Längenfaktor a>, <Min x>, <Min y>, <Max x>, <Max y> )::
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).

Expand Down
8 changes: 4 additions & 4 deletions es/modules/ROOT/pages/commands/CampoDirecciones.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -13,12 +13,12 @@ image:24px-UnderConstruction.png[UnderConstruction.png,width=24,height=24]
CampoDirecciones( <f(x,y)> )::
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( <f(x,y)>, <Número __n__> )::
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]
====
Expand All @@ -29,14 +29,14 @@ El valor por omisión de *_n_* es 40

CampoDirecciones( <f(x,y)>, <Número __n__>, <Factor Longitud __a__> )::
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( <f(x,y)>, <Número __n__>, <Factor Longitud __a__>, <Mín x>, <Mín y>, <Máx x>, <Máx y> )::
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]
====
Expand Down
2 changes: 1 addition & 1 deletion es/modules/ROOT/pages/commands/DerivadaImplícita.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -58,7 +58,7 @@ stem:[\frac{dv}\{du}] = stem:[-\frac{1}\{2 u}]
DerivadaImplícita[ <Expresión> ]

DerivadaImplícita[ <Expresión(x,y)>, <Función y de la variable x> ,<Variable x > ]::
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]
====
Expand Down
2 changes: 1 addition & 1 deletion es/modules/ROOT/pages/commands/LugarGeométrico.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -29,7 +29,7 @@ LugarGeométrico( <Campo de direcciones>, <Punto> )::

LugarGeométrico( <f(x, y)>, <Punto> )::
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
Expand Down
12 changes: 6 additions & 6 deletions es/modules/ROOT/pages/commands/ResuelveEDO.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -18,14 +18,14 @@ ResuelveEDO( <f(x,y)>, <x Inicial>, <y Inicial>, <x Final>, <Paso> )::
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]_
'''''
Expand Down Expand Up @@ -65,7 +65,7 @@ _xref:/commands/Primero.adoc['Primero****][lug1, Longitud[lug1]]_
ResuelveEDO( f(x,y)>, <g(x,y)>, <x Inicial>, <y Inicial>, <t Final>, <Paso> )::
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=",",]
|===
Expand All @@ -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}]_
====

Expand Down Expand Up @@ -128,11 +128,11 @@ https://es.wikipedia.org/M%C3%A9todo_de_Runge-Kutta[Runge-Kutta].
*→* *Resolución formal*
ResuelveEDO(<f(x,y)>)::
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( <f(x, y)>, <Punto en f> )::
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))].
'''''
Expand Down
2 changes: 1 addition & 1 deletion hr/modules/ROOT/pages/Matrice.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -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
_$\begin\{pmatrix}1&2&3\\4&5&6\\7&8&9\end\{pmatrix}$_.
_$\begin{pmatrix}1&2&3\\4&5&6\\7&8&9\end{pmatrix}$_.
====

Expand Down
2 changes: 1 addition & 1 deletion hr/modules/ROOT/pages/Oznake_i_natpisi.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -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 "$\frac{a}{b}$"
====

Expand Down
18 changes: 9 additions & 9 deletions hr/modules/ROOT/pages/commands/BinomnaRazdioba.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -33,22 +33,22 @@ BinomnaRazdioba[ <broj pokušaja>, <vjerojatnost događaja>, <vrijednost varijab
====
Pretpostavimo da se prenose tri skupine podataka putem oštećene linije. Šansa da proizvoljna skupina podataka tijekom
prijenosa bude oštećena je stem:[\frac\{1}\{10}], pa je vjerojatnost uspješnog prijenosa proizvoljne skupine podataka
jednaka stem:[\frac\{9}\{10}].
prijenosa bude oštećena je stem:[\frac{1}{10}], pa je vjerojatnost uspješnog prijenosa proizvoljne skupine podataka
jednaka stem:[\frac{9}{10}].
* `++BinomnaRazdioba[3, 0.9, 0, false]++` daje _stem:[\frac\{1}\{1000}]_, vjerojatnost da niti jedna skupina podataka
* `++BinomnaRazdioba[3, 0.9, 0, false]++` daje _stem:[\frac{1}{1000}]_, vjerojatnost da niti jedna skupina podataka
neće biti uspješno prenesena,
* `++BinomnaRazdioba[3, 0.9, 1, false]++` daje _stem:[\frac\{27}\{1000}]_, vjerojatnost da će točno jedna skupina
* `++BinomnaRazdioba[3, 0.9, 1, false]++` daje _stem:[\frac{27}{1000}]_, vjerojatnost da će točno jedna skupina
podataka biti uspješno prenesena,
* `++BinomnaRazdioba[3, 0.9, 2, false]++` daje _stem:[\frac\{243}\{1000}]_, vjerojatnost da će točno dvije skupine
* `++BinomnaRazdioba[3, 0.9, 2, false]++` daje _stem:[\frac{243}{1000}]_, vjerojatnost da će točno dvije skupine
podataka biti uspješno prenesene,
* `++BinomnaRazdioba[3, 0.9, 3, false]++` daje _stem:[\frac\{729}\{1000}]_, vjerojatnost da će sve tri skupine podataka
* `++BinomnaRazdioba[3, 0.9, 3, false]++` daje _stem:[\frac{729}{1000}]_, vjerojatnost da će sve tri skupine podataka
biti uspješno prenesene.
* `++BinomnaRazdioba[3, 0.9, 0, true]++` daje _stem:[\frac\{1}\{1000}]_, vjerojatnost da niti jedna skupina podataka
* `++BinomnaRazdioba[3, 0.9, 0, true]++` daje _stem:[\frac{1}{1000}]_, vjerojatnost da niti jedna skupina podataka
neće biti uspješno prenesena,
* `++BinomnaRazdioba[3, 0.9, 1, true]++` daje _stem:[\frac\{7}\{250}]_, vjerojatnost da će najviše jedna skupina
* `++BinomnaRazdioba[3, 0.9, 1, true]++` daje _stem:[\frac{7}{250}]_, vjerojatnost da će najviše jedna skupina
podataka biti uspješno prenesena,
* `++BinomnaRazdioba[3, 0.9, 2, true]++` daje _stem:[\frac\{271}\{1000}]_, vjerojatnost da će najviše dvije skupine
* `++BinomnaRazdioba[3, 0.9, 2, true]++` daje _stem:[\frac{271}{1000}]_, vjerojatnost da će najviše dvije skupine
podataka biti uspješno prenesene,
* `++BinomnaRazdioba[3, 0.9, 3, true]++` daje _1_, vjerojatnost da će najviše tri skupine podataka biti uspješno
prenesene.
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4 changes: 2 additions & 2 deletions hr/modules/ROOT/pages/commands/CRješenja.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -14,8 +14,8 @@ CRješenja[ <lista jednadžbi>, <lista varijabli> ]::
[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}].
====

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2 changes: 1 addition & 1 deletion hr/modules/ROOT/pages/commands/CauchyjevaRazdioba.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -21,6 +21,6 @@ CauchyjevaRazdioba[ <medijan m>, <skala s>, <vrijednost varijable v> ]::
[EXAMPLE]
====
`++CauchyjevaRazdioba[1, 2, 3]++` daje _stem:[\frac\{3}\{4}]_.
`++CauchyjevaRazdioba[1, 2, 3]++` daje _stem:[\frac{3}{4}]_.
====
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