Wikipedia:Formulas TeX

Le software usate per Wikipedia, MediaWiki, usa un linguage de marcation de typo TeX pro designar formulas mathematic. Le systema genera imagines de formato PNG o marcation HTML simplice, dependente super le preferentias del usator e super le complexitate del expression. In le futuro, quando navigatores del web deveni plus intelligente, il essera possibile generar HTML avantiate o mesmo MathML in multe casos.

Le marcation de mathematica va inter le etiquettas <math> ... </math>. Le separationes inter le lineas inter iste etiquettas non se monstrara in le resultato final; de facto il es un bon idea render le codice plus legibile per introducer un nove linea p.ex. post cata termino o rango de un matrice.

Non usa iste function como parte de un linea de texto regular, pro evitar que le formulas non se alinea ben e que le typo de litteras sia troppo grande.

Concernente le color de fundo, nota que iste pagina es un pagina special e pro isto ha un fundo jalne. Paginas normal in Wikipedia es blanc, dunque le quadros blanc non essera visibile in uso normal.

Characteres special

Function	Syntaxe	Como se monstra
functiones commun (bon)	\sin x + \ln y +\operatorname{sgn} z	$\sin x+\ln y+\operatorname {sgn} z$
functiones commun (mal)	sin x + ln y + sgn z	$sinx+lny+sgnz\,$
Derivativos	\nabla \partial dx	$\nabla \partial dx$
Collectiones	\forall x\not\in\empty\subseteq A\cap B\cup \exists \{x,y\} \times C	$\forall x\not \in \emptyset \subseteq A\cap B\cup \exists \{x,y\}\times C$
Logica	p\wedge \bar{q} \rightarrow p\vee \bar{q} \Rightarrow \Leftrightarrow	$p\wedge {\bar {q}}\rightarrow p\vee {\bar {q}}\Rightarrow \Leftrightarrow$
Radical	\sqrt{2}\approx 1.4	${\sqrt {2}}\approx 1.4$
Radical	\sqrt[n]{x}	${\sqrt[{n}]{x}}$
Relationes	\sim \simeq \cong \le \ge \equiv \approx \ne	$\sim \ \simeq \ \cong \ \leq \ \geq \ \equiv \ \approx \ \neq$
Geometria	\angle \perp \\|	$\angle \perp \\|$
Special	\oplus \otimes \pm \mp \hbar \dagger \ddagger \star \circ \cdot \bullet \infty	$\oplus \otimes \pm \mp \hbar \dagger \ddagger \star \circ \cdot \bullet \ \infty$

Subscriptos, superscriptos

Function	Syntaxe	Como se monstra
Superscripto	a^2	$a^{2}$
Subscripto	a_2	$a_{2}$
Gruppamento	a^{2+2}	$a^{2+2}$
Gruppamento	a_{i,j}	$a_{i,j}$
Combination sub & super	x_2^3	$x_{2}^{3}$
Derivativo (bon)	x'	$x'$
Derivativo (mal in HTML)	x^\prime	$x^{\prime }$
Derivativo (mal in PNG)	x\prime	$x\prime$
Summa	\sum_{k=1}^N k^2	$\sum _{k=1}^{N}k^{2}$
Producto	\prod_{i=1}^N x_i	$\prod _{i=1}^{N}x_{i}$
Limite	\lim_{n \to \infty}x_n	$\lim _{n\to \infty }x_{n}$
Integral	\int_{-N}^{N} e^x\, dx	$\int _{-N}^{N}e^{x}\,dx$
Integral de linea	\oint_{C} x^3\, dx + 4y^2\, dy	$\oint _{C}x^{3}\,dx+4y^{2}\,dy$

Fractiones, matrices, multilineas

Function	Syntaxe	Como se monstra
Fractiones	\frac{2}{4} or {2 \over 4}	${\frac {2}{4}}$
Coefficientes binomial	{n \choose k}	${n \choose k}$
Matrices	\begin{pmatrix} x & y \\ z & v \end{pmatrix}	${\begin{pmatrix}x&y\\z&v\end{pmatrix}}$
	\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0\end{bmatrix}	${\begin{bmatrix}0&\cdots &0\\\vdots &\ddots &\vdots \\0&\cdots &0\end{bmatrix}}$
	\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}	${\begin{Bmatrix}x&y\\z&v\end{Bmatrix}}$
	\begin{vmatrix} x & y \\ z & v \end{vmatrix}	${\begin{vmatrix}x&y\\z&v\end{vmatrix}}$
	\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}	${\begin{Vmatrix}x&y\\z&v\end{Vmatrix}}$
	\begin{matrix} x & y \\ z & v \end{matrix}	${\begin{matrix}x&y\\z&v\end{matrix}}$
Distinctiones de caso	f(n)=\left\{\begin{matrix} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{matrix}\right.	$f(n)=\left\{{\begin{matrix}n/2,&{\mbox{if }}n{\mbox{ is even}}\\3n+1,&{\mbox{if }}n{\mbox{ is odd}}\end{matrix}}\right.$
Equations multilinear	\begin{matrix}f(n+1)&=& (n+1)^2 \\ \ & =& n^2 + 2n + 1\end{matrix}	${\begin{matrix}f(n+1)&=&(n+1)^{2}\\\ &=&n^{2}+2n+1\end{matrix}}$

Typos de littera

Function	Syntaxe	Como se monstra
Litteras grec	\alpha \beta \gamma \Gamma \phi \Phi \Psi\ \tau \Omega	$\alpha \ \beta \ \gamma \ \Gamma \ \phi \ \Phi \ \Psi \ \tau \ \Omega$
Blackboard bold	x\in\mathbb{R}\sub\mathbb{C}	$x\in \mathbb {R} \subset \mathbb {C}$
grasse (vectores)	\mathbf{x}\cdot\mathbf{y} = 0	$\mathbf {x} \cdot \mathbf {y} =0$
grasse (grec)	\boldsymbol{\alpha}+\boldsymbol{\beta}+\boldsymbol{\gamma}	${\boldsymbol {\alpha }}+{\boldsymbol {\beta }}+{\boldsymbol {\gamma }}$
Typo de litteras Fraktur	\mathfrak{a} \mathfrak{B}	${\mathfrak {a}}{\mathfrak {B}}$
Scripto	\mathcal{ABC}	${\mathcal {ABC}}$
Hebree	\aleph \beth \gimel \daleth	$\aleph \ \beth \ \gimel \ \daleth$
characteres non cursive	\mbox{abc}	${\mbox{abc}}$

Parenthesisation de grande expressiones

Function	Syntaxe	Como se monstra
Non bon	( \frac{1}{2} )	$({\frac {1}{2}})$
Melior	\left( \frac{1}{2} \right)	$\left({\frac {1}{2}}\right)$

Tu pote usar varie delimitatores con \left e \right:

Function	Syntaxe	Como se monstra
Parentheses	\left( A \right)	$\left(A\right)$
Parentheses recte	\left[ A \right]	$\left[A\right]$
Braciales	\left\{ A \right\}	$\left\{A\right\}$
Parentheses angular	\left\langle A \right\rangle	$\left\langle A\right\rangle$
Barras	\left\| A \right\|	$\left\|A\right\|$
Usa \left. e \right. si tu non vole que un delimitator appare:	\left. {A \over B} \right\} \to X	$\left.{A \over B}\right\}\to X$

Spatiamento

Nota que TeX face le major parte del spatiamento automaticamente, ma es possibile que tu vole a vices controlo manual.

Function	Syntaxe	Como se monstra
spatio quadruple duple	a \qquad b	$a\qquad b$
spatio quadruple	a \quad b	$a\quad b$
spatio de texto	a\ b	$a\ b$
spatio grande	a\;b	$a\;b$
spatio medie	a\>b	[non appoiate]
spatio parve	a\,b	$a\,b$
nulle spatio	ab	$ab\,$
spatio negative	a\!b	$a\!b$

Ligamines externe

Un documento PDF introducente TeX -- vide pagina 39 e ulterior pro un bon introduction al latere mathematic del cosas: http://www.ctan.org/tex-archive/info/gentle/gentle.pdf
Lista referential complete de symbolos: http://wso.williams.edu/how/lshort2e/node61.html
Software AMSLaTeX (extension pro LaTeX): http://www.ams.org/tex/amslatex.html
Un collection de graphicos mathematic de grandor fixe in le dominio public: http://us.metamath.org/symbols/symbols.html

Vide etiam

Wikipedia:LaTeX symbols