Help:Math: Difference between revisions

Latest revision as of 13:07, 20 March 2012

MediaWiki uses a subset of TeX markup, including some extensions from LaTeX and AMS-LaTeX, for mathematical formulae. It generates either PNG images or simple HTML markup, depending on user preferences and the complexity of the expression.

More precisely, MediaWiki filters the markup through Texvc, which in turn passes the commands to TeX for the actual rendering. Thus, only a limited part of the full TeX language is supported; see below for details.

Technicals

Syntax

Math markup goes inside the math: <math> ... </math> tag.

Similar to HTML, in TeX extra spaces and newlines are ignored.

Rendering

The PNG images are black on white (not transparent). These colors, as well as font sizes and types, are independent of browser settings or CSS. Font sizes and types will often deviate from what HTML renders. Vertical alignment with the surrounding text can also be a problem.

The alt attribute of the PNG images (the text that is displayed if your browser can't display images; Internet Explorer shows it up in the hover box) is the wikitext that produced them, excluding the <math> and </math>.

Apart from function and operator names, as is customary in mathematics for variables, letters are in italics; digits are not. For other text, (like variable labels) to avoid being rendered in italics like variables, use \text, \mbox, or \mathrm. You can also define new function names using \operatorname{...}. For example, <math>\text{abc}</math> gives [math]\displaystyle{ \text{abc} }[/math]. This does not work for special characters, they are ignored unless the whole <math> expression is rendered in HTML:

<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ}</math>
<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ}\,</math>

gives:

[math]\displaystyle{ \text {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ} }[/math]
[math]\displaystyle{ \text {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ}\, }[/math]

Nevertheless, using \mbox instead of \text, more characters are allowed

For example,

<math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïñòóôõö÷øùúûüýÿ}</math>
<math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïñòóôõö÷øùúûüýÿ}\,</math>

gives:

[math]\displaystyle{ \mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïñòóôõö÷øùúûüýÿ} }[/math]
[math]\displaystyle{ \mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïñòóôõö÷øùúûüýÿ}\, }[/math]

But \mbox{ð} and \mbox{þ} will give an error:

[math]\displaystyle{ \mbox {ð} }[/math]
[math]\displaystyle{ \mbox {þ} }[/math]

Functions, symbols, special characters

Accents/diacritics
`\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}`	[math]\displaystyle{ \acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}\,\! }[/math]
`\check{a} \bar{a} \ddot{a} \dot{a}`	[math]\displaystyle{ \check{a} \bar{a} \ddot{a} \dot{a}\! }[/math]
Standard functions
`\sin a \cos b \tan c`	[math]\displaystyle{ \sin a \cos b \tan c\! }[/math]
`\sec d \csc e \cot f`	[math]\displaystyle{ \sec d \csc e \cot f\,\! }[/math]
`\arcsin h \arccos i \arctan j`	[math]\displaystyle{ \arcsin h \arccos i \arctan j\,\! }[/math]
`\sinh k \cosh l \tanh m \coth n\!`	[math]\displaystyle{ \sinh k \cosh l \tanh m \coth n\! }[/math]
`\operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\!`	[math]\displaystyle{ \operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\! }[/math]
`\operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t`	[math]\displaystyle{ \operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t\,\! }[/math]
`\lim u \limsup v \liminf w \min x \max y\!`	[math]\displaystyle{ \lim u \limsup v \liminf w \min x \max y\! }[/math]
`\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\!`	[math]\displaystyle{ \inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\! }[/math]
`\deg h \gcd i \Pr j \det k \hom l \arg m \dim n`	[math]\displaystyle{ \deg h \gcd i \Pr j \det k \hom l \arg m \dim n\! }[/math]
Modular arithmetic
`s_k \equiv 0 \pmod{m}`	[math]\displaystyle{ s_k \equiv 0 \pmod{m}\,\! }[/math]
`a\,\bmod\,b`	[math]\displaystyle{ a\,\bmod\,b\,\! }[/math]
Derivatives
`\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}`	[math]\displaystyle{ \nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2} }[/math]
Sets
`\forall \exists \empty \emptyset \varnothing`	[math]\displaystyle{ \forall \exists \empty \emptyset \varnothing\,\! }[/math]
`\in \ni \not \in \notin \subset \subseteq \supset \supseteq`	[math]\displaystyle{ \in \ni \not \in \notin \subset \subseteq \supset \supseteq\,\! }[/math]
`\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus`	[math]\displaystyle{ \cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,\! }[/math]
`\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup`	[math]\displaystyle{ \sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup\,\! }[/math]
Operators
`+ \oplus \bigoplus \pm \mp -`	[math]\displaystyle{ + \oplus \bigoplus \pm \mp - \,\! }[/math]
`\times \otimes \bigotimes \cdot \circ \bullet \bigodot`	[math]\displaystyle{ \times \otimes \bigotimes \cdot \circ \bullet \bigodot\,\! }[/math]
`\star * / \div \frac{1}{2}`	[math]\displaystyle{ \star * / \div \frac{1}{2}\,\! }[/math]
Logic
`\land (or \and) \wedge \bigwedge \bar{q} \to p`	[math]\displaystyle{ \land \wedge \bigwedge \bar{q} \to p\,\! }[/math]
`\lor \vee \bigvee \lnot \neg q \And`	[math]\displaystyle{ \lor \vee \bigvee \lnot \neg q \And\,\! }[/math]
Root
`\sqrt{2} \sqrt[n]{x}`	[math]\displaystyle{ \sqrt{2} \sqrt[n]{x}\,\! }[/math]
Relations
`\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}`	[math]\displaystyle{ \sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}\,\! }[/math]
`\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto`	[math]\displaystyle{ \le \lt \ll \gg \ge \gt \equiv \not\equiv \ne \mbox{or} \neq \propto\,\! }[/math]
`\geqq \geqslant \eqslantgtr \gtrsim \gtrapprox`	[math]\displaystyle{ \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox }[/math]
Geometric
`\Diamond \Box \triangle \angle \perp \mid \nmid \\| 45^\circ`	[math]\displaystyle{ \Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \\| 45^\circ\,\! }[/math]
Arrows
`\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow`	[math]\displaystyle{ \leftarrow \rightarrow \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow \,\! }[/math]
`\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)`	[math]\displaystyle{ \Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow \! }[/math]
`\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow`	[math]\displaystyle{ \uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow \! }[/math]
`\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons`	[math]\displaystyle{ \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons \,\! }[/math]
`\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright`	[math]\displaystyle{ \curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright \,\! }[/math]
`\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft`	[math]\displaystyle{ \curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \,\! }[/math]
`\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow`	[math]\displaystyle{ \mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \,\! }[/math]
Special
`\And \eth \S \P \% \dagger \ddagger \ldots \cdots`	[math]\displaystyle{ \And \eth \S \P \% \dagger \ddagger \ldots \cdots\,\! }[/math]
`\smile \frown \wr \triangleleft \triangleright \infty \bot \top`	[math]\displaystyle{ \smile \frown \wr \triangleleft \triangleright \infty \bot \top\,\! }[/math]
`\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar`	[math]\displaystyle{ \vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,\! }[/math]
`\ell \mho \Finv \Re \Im \wp \complement`	[math]\displaystyle{ \ell \mho \Finv \Re \Im \wp \complement\,\! }[/math]
`\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp`	[math]\displaystyle{ \diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp\,\! }[/math]
Unsorted (new stuff)
`\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown`	[math]\displaystyle{ \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown }[/math]
`\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge`	[math]\displaystyle{ \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge\! }[/math]
`\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes`	[math]\displaystyle{ \veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes }[/math]
`\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant`	[math]\displaystyle{ \rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant }[/math]
`\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq`	[math]\displaystyle{ \eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq }[/math]
`\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft`	[math]\displaystyle{ \fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft }[/math]
`\Vvdash \bumpeq \Bumpeq \eqsim \gtrdot`	[math]\displaystyle{ \Vvdash \bumpeq \Bumpeq \eqsim \gtrdot }[/math]
`\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq`	[math]\displaystyle{ \ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq }[/math]
`\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork`	[math]\displaystyle{ \Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork }[/math]
`\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq`	[math]\displaystyle{ \varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq }[/math]
`\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid`	[math]\displaystyle{ \lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid }[/math]
`\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr`	[math]\displaystyle{ \nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr }[/math]
`\subsetneq`	[math]\displaystyle{ \subsetneq }[/math]
`\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq`	[math]\displaystyle{ \ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq }[/math]
`\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq`	[math]\displaystyle{ \succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq }[/math]
`\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq`	[math]\displaystyle{ \nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq }[/math]
`\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus`	[math]\displaystyle{ \jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,\! }[/math]
`\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq`	[math]\displaystyle{ \oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,\! }[/math]
`\dashv \asymp \doteq \parallel`	[math]\displaystyle{ \dashv \asymp \doteq \parallel\,\! }[/math]
`\ulcorner \urcorner \llcorner \lrcorner`	[math]\displaystyle{ \ulcorner \urcorner \llcorner \lrcorner }[/math]

Larger expressions

Subscripts, superscripts, integrals

Feature	Syntax	How it looks rendered
Feature	Syntax	HTML	PNG
Superscript	`a^2`	[math]\displaystyle{ a^2 }[/math]	[math]\displaystyle{ a^2 \,\! }[/math]
Subscript	`a_2`	[math]\displaystyle{ a_2 }[/math]	[math]\displaystyle{ a_2 \,\! }[/math]
Grouping	`a^{2+2}`	[math]\displaystyle{ a^{2+2} }[/math]	[math]\displaystyle{ a^{2+2}\,\! }[/math]
Grouping	`a_{i,j}`	[math]\displaystyle{ a_{i,j} }[/math]	[math]\displaystyle{ a_{i,j}\,\! }[/math]
Combining sub & super without and with horizontal separation	`x_2^3`	[math]\displaystyle{ x_2^3 }[/math]	[math]\displaystyle{ x_2^3 \,\! }[/math]
	`{x_2}^3`	[math]\displaystyle{ {x_2}^3 }[/math]	[math]\displaystyle{ {x_2}^3 \,\! }[/math]
Super super	`10^{10^{ \,\!{8} }`	[math]\displaystyle{ 10^{10^{ \,\! 8 } } }[/math]
Super super	`10^{10^{ \overset{8}{} }}`	[math]\displaystyle{ 10^{10^{ \overset{8}{} }} }[/math]
Super super (wrong in HTML in some browsers)	`10^{10^8}`	[math]\displaystyle{ 10^{10^8} }[/math]
Preceding and/or Additional sub & super	`\sideset{_1^2}{_3^4}\prod_a^b`	[math]\displaystyle{ \sideset{_1^2}{_3^4}\prod_a^b }[/math]
Preceding and/or Additional sub & super	`{}_1^2\!\Omega_3^4`	[math]\displaystyle{ {}_1^2\!\Omega_3^4 }[/math]
Stacking	`\overset{\alpha}{\omega}`	[math]\displaystyle{ \overset{\alpha}{\omega} }[/math]
	`\underset{\alpha}{\omega}`	[math]\displaystyle{ \underset{\alpha}{\omega} }[/math]
	`\overset{\alpha}{\underset{\gamma}{\omega}}`	[math]\displaystyle{ \overset{\alpha}{\underset{\gamma}{\omega}} }[/math]
	`\stackrel{\alpha}{\omega}`	[math]\displaystyle{ \stackrel{\alpha}{\omega} }[/math]
Derivative (forced PNG)	`x', y'', f', f''\!`		[math]\displaystyle{ x', y'', f', f''\! }[/math]
Derivative (f in italics may overlap primes in HTML)	`x', y'', f', f''`	[math]\displaystyle{ x', y'', f', f'' }[/math]	[math]\displaystyle{ x', y'', f', f''\! }[/math]
Derivative (wrong in HTML)	`x^\prime, y^{\prime\prime}`	[math]\displaystyle{ x^\prime, y^{\prime\prime} }[/math]	[math]\displaystyle{ x^\prime, y^{\prime\prime}\,\! }[/math]
Derivative (wrong in PNG)	`x\prime, y\prime\prime`	[math]\displaystyle{ x\prime, y\prime\prime }[/math]	[math]\displaystyle{ x\prime, y\prime\prime\,\! }[/math]
Derivative dots	`\dot{x}, \ddot{x}`	[math]\displaystyle{ \dot{x}, \ddot{x} }[/math]
Underlines, overlines, vectors	`\hat a \ \bar b \ \vec c`	[math]\displaystyle{ \hat a \ \bar b \ \vec c }[/math]
	`\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}`	[math]\displaystyle{ \overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} }[/math]
	`\overline{g h i} \ \underline{j k l}`	[math]\displaystyle{ \overline{g h i} \ \underline{j k l} }[/math]
	`\not 1 \ \cancel{123}`	[math]\displaystyle{ \not 1 \ \cancel{123} }[/math]
Arrows	`A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C`	[math]\displaystyle{ A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C }[/math]
Overbraces	`\overbrace{ 1+2+\cdots+100 }^{5050}`	[math]\displaystyle{ \overbrace{ 1+2+\cdots+100 }^{5050} }[/math]
Underbraces	`\underbrace{ a+b+\cdots+z }_{26}`	[math]\displaystyle{ \underbrace{ a+b+\cdots+z }_{26} }[/math]
Sum	`\sum_{k=1}^N k^2`	[math]\displaystyle{ \sum_{k=1}^N k^2 }[/math]
Sum (force `\textstyle`)	`\textstyle \sum_{k=1}^N k^2`	[math]\displaystyle{ \textstyle \sum_{k=1}^N k^2 }[/math]
Product	`\prod_{i=1}^N x_i`	[math]\displaystyle{ \prod_{i=1}^N x_i }[/math]
Product (force `\textstyle`)	`\textstyle \prod_{i=1}^N x_i`	[math]\displaystyle{ \textstyle \prod_{i=1}^N x_i }[/math]
Coproduct	`\coprod_{i=1}^N x_i`	[math]\displaystyle{ \coprod_{i=1}^N x_i }[/math]
Coproduct (force `\textstyle`)	`\textstyle \coprod_{i=1}^N x_i`	[math]\displaystyle{ \textstyle \coprod_{i=1}^N x_i }[/math]
Limit	`\lim_{n \to \infty}x_n`	[math]\displaystyle{ \lim_{n \to \infty}x_n }[/math]
Limit (force `\textstyle`)	`\textstyle \lim_{n \to \infty}x_n`	[math]\displaystyle{ \textstyle \lim_{n \to \infty}x_n }[/math]
Integral	`\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx`	[math]\displaystyle{ \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx }[/math]
Integral (alternate limits style)	`\int_{1}^{3}\frac{e^3/x}{x^2}\, dx`	[math]\displaystyle{ \int_{1}^{3}\frac{e^3/x}{x^2}\, dx }[/math]
Integral (force `\textstyle`)	`\textstyle \int\limits_{-N}^{N} e^x\, dx`	[math]\displaystyle{ \textstyle \int\limits_{-N}^{N} e^x\, dx }[/math]
Integral (force `\textstyle`, alternate limits style)	`\textstyle \int_{-N}^{N} e^x\, dx`	[math]\displaystyle{ \textstyle \int_{-N}^{N} e^x\, dx }[/math]
Double integral	`\iint\limits_D \, dx\,dy`	[math]\displaystyle{ \iint\limits_D \, dx\,dy }[/math]
Triple integral	`\iiint\limits_E \, dx\,dy\,dz`	[math]\displaystyle{ \iiint\limits_E \, dx\,dy\,dz }[/math]
Quadruple integral	`\iiiint\limits_F \, dx\,dy\,dz\,dt`	[math]\displaystyle{ \iiiint\limits_F \, dx\,dy\,dz\,dt }[/math]
Line or path integral	`\int_C x^3\, dx + 4y^2\, dy`	[math]\displaystyle{ \int_C x^3\, dx + 4y^2\, dy }[/math]
Closed line or path integral	`\oint_C x^3\, dx + 4y^2\, dy`	[math]\displaystyle{ \oint_C x^3\, dx + 4y^2\, dy }[/math]
Intersections	`\bigcap_1^n p`	[math]\displaystyle{ \bigcap_1^n p }[/math]
Unions	`\bigcup_1^k p`	[math]\displaystyle{ \bigcup_1^k p }[/math]

Fractions, matrices, multilines

Parenthesizing big expressions, brackets, bars

Feature	Syntax	How it looks rendered
Bad	`( \frac{1}{2} )`	[math]\displaystyle{ ( \frac{1}{2} ) }[/math]
Good	`\left ( \frac{1}{2} \right )`	[math]\displaystyle{ \left ( \frac{1}{2} \right ) }[/math]

You can use various delimiters with \left and \right:

Alphabets and typefaces

Texvc cannot render arbitrary Unicode characters. Those it can handle can be entered by the expressions below. For others, such as Cyrillic, they can be entered as Unicode or HTML entities in running text, but cannot be used in displayed formulas.

Feature	Syntax	How it looks rendered
non-italicised characters	`\mbox{abc}`	[math]\displaystyle{ \mbox{abc} }[/math]	[math]\displaystyle{ \mbox{abc} \,\! }[/math]
mixed italics (bad)	`\mbox{if} n \mbox{is even}`	[math]\displaystyle{ \mbox{if} n \mbox{is even} }[/math]	[math]\displaystyle{ \mbox{if} n \mbox{is even} \,\! }[/math]
mixed italics (good)	`\mbox{if }n\mbox{ is even}`	[math]\displaystyle{ \mbox{if }n\mbox{ is even} }[/math]	[math]\displaystyle{ \mbox{if }n\mbox{ is even} \,\! }[/math]
mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space)	`\mbox{if}~n\ \mbox{is even}`	[math]\displaystyle{ \mbox{if}~n\ \mbox{is even} }[/math]	[math]\displaystyle{ \mbox{if}~n\ \mbox{is even} \,\! }[/math]

Color

Equations can use color:

{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}
[math]\displaystyle{ {\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1} }[/math]

x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}
[math]\displaystyle{ x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a} }[/math]

It is also possible to change the background color, as in the following example:

Background	Wikicode	Rendering (in PNG)
White	`e^{i \pi} + 1 = 0`	[math]\displaystyle{ e^{i \pi} + 1 = 0\,\! }[/math]
White	`\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0`	[math]\displaystyle{ \definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,\! }[/math]
Orange	`e^{i \pi} + 1 = 0`	[math]\displaystyle{ e^{i \pi} + 1 = 0\,\! }[/math]
Orange	`\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0`	[math]\displaystyle{ \definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,\! }[/math]

See here for all named colors supported by LaTeX.

Note that color should not be used as the only way to identify something, because it will become meaningless on black-and-white media or for color-blind people.

Formatting issues

Spacing

Note that TeX handles most spacing automatically, but you may sometimes want manual control.

Feature	Syntax	How it looks rendered
double quad space	`a \qquad b`	[math]\displaystyle{ a \qquad b }[/math]
quad space	`a \quad b`	[math]\displaystyle{ a \quad b }[/math]
text space	`a\ b`	[math]\displaystyle{ a\ b }[/math]
text space without PNG conversion	`a \mbox{ } b`	[math]\displaystyle{ a \mbox{ } b }[/math]
large space	`a\;b`	[math]\displaystyle{ a\;b }[/math]
medium space	`a\>b`	[not supported]
small space	`a\,b`	[math]\displaystyle{ a\,b }[/math]
no space	`ab`	[math]\displaystyle{ ab\, }[/math]
small negative space	`a\!b`	[math]\displaystyle{ a\!b }[/math]

Automatic spacing may be broken in very long expressions (because they produce an overfull hbox in TeX):

<math>0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots</math>

[math]\displaystyle{ 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots }[/math]

This can be remedied by putting a pair of braces { } around the whole expression:

<math>{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}</math>

[math]\displaystyle{ {0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots} }[/math]

Alignment with normal text flow

Due to the default css

img.tex { vertical-align: middle; }

an inline expression like [math]\displaystyle{ \int_{-N}^{N} e^x\, dx }[/math] should look good.

If you need to align it otherwise, use <math style="vertical-align:-100%;">...</math> and play with the vertical-align argument until you get it right; however, how it looks may depend on the browser and the browser settings.

Also note that if you rely on this workaround, if/when the rendering on the server gets fixed in future releases, as a result of this extra manual offset your formulae will suddenly be aligned incorrectly. So use it sparingly, if at all.

Forced PNG rendering

To force the formula to render as PNG, add \, (small space) at the end of the formula (where it is not rendered). This will force PNG if the user is in "HTML if simple" mode, but not for "HTML if possible" mode (math rendering settings in preferences).

You can also use \,\! (small space and negative space, which cancel out) anywhere inside the math tags. This does force PNG even in "HTML if possible" mode, unlike \,.

This could be useful to keep the rendering of formulae in a proof consistent, for example, or to fix formulae that render incorrectly in HTML (at one time, a^{2+2} rendered with an extra underscore), or to demonstrate how something is rendered when it would normally show up as HTML (as in the examples above).

For instance:

Syntax	How it looks rendered
`a^{c+2}`	[math]\displaystyle{ a^{\,\!c+2} }[/math]
`a^{c+2} \,`	[math]\displaystyle{ a^{c+2} \, }[/math]
`a^{\,\!c+2}`	[math]\displaystyle{ a^{\,\!c+2} }[/math]
`a^{b^{c+2}}`	[math]\displaystyle{ a^{b^{c+2}} }[/math] (WRONG with option "HTML if possible or else PNG"!)
`a^{b^{c+2}} \,`	[math]\displaystyle{ a^{b^{c+2}} \, }[/math] (WRONG with option "HTML if possible or else PNG"!)
`a^{b^{c+2}}\approx 5`	[math]\displaystyle{ a^{b^{c+2}}\approx 5 }[/math] (due to "[math]\displaystyle{ \approx }[/math]" correctly displayed, no code "\,\!" needed)
`a^{b^{\,\!c+2}}`	[math]\displaystyle{ a^{b^{\,\!c+2}} }[/math]
`\int_{-N}^{N} e^x\, dx`	[math]\displaystyle{ \int_{-N}^{N} e^x\, dx }[/math]

This has been tested with most of the formulae on this page, and seems to work perfectly.

You might want to include a comment in the HTML so people don't "correct" the formula by removing it:

Examples

Quadratic Polynomial

[math]\displaystyle{ ax^2 + bx + c = 0 }[/math]

<math>ax^2 + bx + c = 0</math>

Quadratic Polynomial (Force PNG Rendering)

[math]\displaystyle{ ax^2 + bx + c = 0\,\! }[/math]

<math>ax^2 + bx + c = 0\,\!</math>

Quadratic Formula

[math]\displaystyle{ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} }[/math]

<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>

Tall Parentheses and Fractions

[math]\displaystyle{ 2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right) }[/math]

<math>2 = \left(
 \frac{\left(3-x\right) \times 2}{3-x}
 \right)</math>

[math]\displaystyle{ S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2} }[/math]

 <math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>

Integrals

[math]\displaystyle{ \int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy }[/math]

<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
 = \int_a^x f(y)(x-y)\,dy</math>

Summation

[math]\displaystyle{ \sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)} }[/math]

<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
 {3^m\left(m\,3^n+n\,3^m\right)}</math>

Differential Equation

[math]\displaystyle{ u'' + p(x)u' + q(x)u=f(x),\quad x\gt a }[/math]

<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>

Complex numbers

[math]\displaystyle{ |\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z) }[/math]

<math>|\bar{z}| = |z|,
 |(\bar{z})^n| = |z|^n,
 \arg(z^n) = n \arg(z)</math>

Limits

[math]\displaystyle{ \lim_{z\rightarrow z_0} f(z)=f(z_0) }[/math]

<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>

Integral Equation

[math]\displaystyle{ \phi_n(\kappa)
 = \frac{1}{4\pi^2\kappa^2} \int_0^\infty \frac{\sin(\kappa R)}{\kappa R}  \frac{\partial}{\partial R}  \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR }[/math]

<math>\phi_n(\kappa) =
 \frac{1}{4\pi^2\kappa^2} \int_0^\infty
 \frac{\sin(\kappa R)}{\kappa R}
 \frac{\partial}{\partial R}
 \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>

Example

[math]\displaystyle{ \phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0} }[/math]

<math>\phi_n(\kappa) = 
 0.033C_n^2\kappa^{-11/3},\quad
 \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>

Continuation and cases

[math]\displaystyle{ f(x) = \begin{cases}1 & -1 \le x \lt  0 \\
 \frac{1}{2} & x = 0 \\ 1 - x^2 & \mbox{otherwise}\end{cases} }[/math]

<math>
 f(x) =
 \begin{cases}
 1 & -1 \le x < 0 \\
 \frac{1}{2} & x = 0 \\
 1 - x^2 & \mbox{otherwise}
 \end{cases}
 </math>

Prefixed subscript

[math]\displaystyle{ {}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z) = \sum_{n=0}^\infty \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}\frac{z^n}{n!} }[/math]

 <math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
 = \sum_{n=0}^\infty
 \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
 \frac{z^n}{n!}</math>

Fraction and small fraction

[math]\displaystyle{  \frac {a}{b} }[/math]   [math]\displaystyle{  \tfrac {a}{b}  }[/math]
<math> \frac {a}{b}\  \tfrac {a}{b} </math>

@@ Line 1: / Line 1: @@
-{{H:h|editor toc}}
+MediaWiki uses a subset of TeX markup, including some extensions from LaTeX and AMS-LaTeX, for mathematical formulae. It generates either PNG images or simple HTML markup, depending on user preferences and the complexity of the expression.
-{{other languages/Help:Displaying a formula}}
-[[w:MediaWiki|MediaWiki]] uses a subset of '''[[w:TeX|TeX]] markup''', including some extensions from [[w:LaTeX|LaTeX]] and [[w:AMS-Latex|AMS-LaTeX]], for mathematical formulae. It generates either [[w:PNG|PNG]] images or simple [[w:HTML|HTML]] markup, depending on [[Help:Preferences#Rendering_math|user preferences]] and the complexity of the expression.
+More precisely, MediaWiki filters the markup through Texvc, which in turn passes the commands to TeX for the actual rendering. Thus, only a limited part of the full TeX language is supported; see below for details.
-More precisely, MediaWiki filters the markup through [[w:Texvc|Texvc]], which in turn passes the commands to TeX for the actual [[w:Rendering (computer graphics)|render]]ing. Thus, only a limited part of the full TeX language is supported; see below for details.
-To have math rendered, you have to set <code>$wgUseTeX = true;</code> in [[mw:Manual:LocalSettings.php|LocalSettings.php]].
 __TOC__
 ==Technicals==
 ===Syntax===
-Traditionally, math markup goes inside the  [[Help:XML-style tags|XML-style tag]] math: <code><nowiki><math> ... </math></nowiki></code>. The old [[Help:Edit toolbar|edit toolbar]] has a button for this: [[Image:Math icon.png|{{MediaWiki:Math tip}}]].
+Math markup goes inside the math: <code><nowiki><math> ... </math></nowiki></code> tag.
-However, one can also use parser function [[mw:Help:Magic_words#Miscellaneous|#tag]]: <code><nowiki>{{#tag:math|...}}</nowiki></code>; this is more versatile: the wikitext at the dots is first [[Help:Expansion|expanded]] before interpreting the result as TeX code. Thus it can contain parameters, variables, parser functions and templates. Note however that with this syntax double braces in the TeX code must have a space in between, to avoid confusion with their use in template calls etc. Also, to produce the character "|" inside the TeX code, use <nowiki>{{!}}</nowiki>.<ref>This requires the wiki to have the [[Template:!]] containing "|", as many wikis do, see e.g. also [[w:Template:!]].</ref>
 Similar to HTML, in TeX extra spaces and newlines are ignored.
 ===Rendering===
-The PNG images are black on white (not transparent) (see [[bugzilla:8|bug 8]] for details). These colors, as well as font sizes and types, are independent of browser settings or CSS. Font sizes and types will often deviate from what HTML renders. Vertical alignment with the surrounding text can also be a problem. The [[Help:User style#CSS selectors|css selector]] of the images is <code>img.tex</code>.
+The PNG images are black on white (not transparent). These colors, as well as font sizes and types, are independent of browser settings or CSS. Font sizes and types will often deviate from what HTML renders. Vertical alignment with the surrounding text can also be a problem.
-It should be pointed out that solutions to most of these shortcomings have been proposed by [[m:Help talk:Displaying a formula/Archives/2005#Maynard Handley's suggestions|Maynard Handley]], but have not been implemented yet.
 The <code>alt</code> attribute of the PNG images (the text that is displayed if your browser can't display images; Internet Explorer shows it up in the hover box) is the wikitext that produced them, excluding the <code><nowiki><math></nowiki></code> and <code><nowiki></math></nowiki></code>.
@@ Line 32: / Line 24: @@
 *<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ}</math>
 *<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ}\,</math>
-See [[bugzilla:798|bug 798]] for details.
 Nevertheless, using <code>\mbox</code> instead of <code>\text</code>, more characters are allowed
@@ Line 48: / Line 38: @@
 * <math>\mbox {ð}</math>
 * <math>\mbox {þ}</math>
-==TeX vs HTML==
-Before introducing TeX markup for producing special characters, it should be noted that, as this comparison table shows, sometimes similar results can be achieved in HTML (see [[Help:Special characters]]).
-{| class="wikitable"
-|-
-! TeX Syntax ([[#Forced_PNG_rendering|forcing PNG]])
-! TeX Rendering
-! HTML Syntax
-! HTML Rendering
-|-
-| <code><nowiki><math>\alpha\,\!</math></nowiki></code>
-| <math>\alpha\,\!</math>
-| <code><nowiki>{{math|<VAR>&amp;alpha;</VAR>}}</nowiki></code>
-| {{math|<VAR>&alpha;</VAR>}}
-|-
-| <code><nowiki><math>\sqrt{2}</math></nowiki></code>
-| <math>\sqrt{2}</math>
-| <code><nowiki>{{math|{{radical|2}}}}</nowiki></code>
-| {{math|{{radical|2}}}}
-|-
-| <code><nowiki><math>\sqrt{1-e^2}</math></nowiki></code>
-| <math>\sqrt{1-e^2}\!</math>
-| <code><nowiki>{{math|{{radical|1 &minus; ''e''&sup2;}}}}</nowiki></code>
-| {{math|{{radical|1 &minus; ''e''&sup2;}}}}
-|}
-The codes on the left produce the symbols on the right, but the latter can also be put directly in the wikitext, except for &lsquo;=&rsquo;.
-{| class="wikitable"
-|-
-! Syntax
-! Rendering
-|- valign="top"
-|<pre><nowiki>&amp;alpha; &amp;beta; &amp;gamma; &amp;delta; &amp;epsilon; &amp;zeta;
-&amp;eta; &amp;theta; &amp;iota; &amp;kappa; &amp;lambda; &amp;mu; &amp;nu;
-&amp;xi; &amp;omicron; &amp;pi; &amp;rho;  &amp;sigma; &amp;sigmaf;
-&amp;tau; &amp;upsilon; &amp;phi; &amp;chi; &amp;psi; &amp;omega;
-&amp;Gamma; &amp;Delta; &amp;Theta; &amp;Lambda; &amp;Xi; &amp;Pi;
-&amp;Sigma; &amp;Phi; &amp;Psi; &amp;Omega;
-</nowiki></pre>
-| style="texhtml" |α β γ δ ε ζ<br
-/>η θ ι κ λ μ ν<br
-/>ξ ο π ρ σ ς<br
-/>τ υ φ χ ψ ω<br
-/>Γ Δ Θ Λ Ξ Π<br
-/>Σ Φ Ψ Ω
-|- valign="top"
-| valign="middle" | <pre><nowiki>&amp;int; &amp;sum; &amp;prod; &amp;radic; &amp;minus; &amp;plusmn; &amp;infin;
-&amp;asymp; &amp;prop; {{=}} &amp;equiv; &amp;ne; &amp;le; &amp;ge;
-&amp;times; &amp;middot; &amp;divide; &amp;part; &amp;prime; &amp;Prime;
-&amp;nabla; &amp;permil; &amp;deg; &amp;there4; &amp;Oslash; &amp;oslash;
-&amp;isin; &amp;notin;
-&amp;cap; &amp;cup; &amp;sub; &amp;sup; &amp;sube; &amp;supe;
-&amp;not; &amp;and; &amp;or; &amp;exist; &amp;forall;
-&amp;rArr; &amp;hArr; &amp;rarr; &amp;harr; &amp;uarr;
-&amp;alefsym; - &amp;ndash; &amp;mdash;
-</nowiki></pre>
-| style="texhtml" |∫ ∑ ∏ √ − ± ∞<br
-/>≈ ∝ = ≡ ≠ ≤ ≥<br
-/>× · ÷ ∂ ′ ″<br
-/>∇ ‰ ° ∴ Ø ø<br
-/>∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇<br
-/>¬ ∧ ∨ ∃ ∀<br
-/>⇒ ⇔ → ↔ ↑<br
-/>ℵ - – —
-|}
-The use of HTML instead of TeX is still under discussion. The arguments either way can be summarised
-as follows.
-===Pros of HTML===
-# In-line HTML formulae always align properly with the rest of the HTML text.
-# The formula&rsquo;s background and font size match the rest of HTML contents and the appearance respects CSS and browser settings while the typeface is conveniently altered to help you identify formulae.
-# Pages using HTML code for formulae will load faster and they will create less clutter on your hard disk.
-# Formulae typeset with HTML code will be accessible to client-side script links (a.k.a. scriptlets).
-# The display of a formula entered using mathematical templates can be conveniently altered by modifying the templates involved; this modification will affect all relevant formulae without any manual intervention.
-# The HTML code, if entered diligently, will contain all semantic information to transform the equation back to TeX or any other code as needed.  It can even contain differences TeX does not normally catch, e.g. <code><nowiki>{{math|''i''}}</nowiki></code> for the [[w:imaginary unit|imaginary unit]] and <code><nowiki>{{math|<VAR>i</VAR>}}</nowiki></code> for an arbitrary index variable.
-===Pros of TeX===
-# TeX is semantically superior to HTML. In TeX, "<code><nowiki><math>x</math></nowiki></code>" means "mathematical variable <math>x</math>", whereas in HTML "<code>x</code>" could mean anything. Information has been irrevocably lost.
-# On the other hand, if you encode the same formula as "<code><nowiki>{{math|<VAR>x</VAR>}}</nowiki></code>", you get the same visual result {{math|<VAR>x</VAR>}} and no information is lost.  This requires diligence and more typing that could make the formula harder to understand as you type it.  However, since there are far more readers than editors, this effort is worth considering.
-# TeX has been specifically designed for typesetting formulae, so input is easier and more natural if you are accustomed to it, and output is more aesthetically pleasing if you focus on a single formula rather than on the whole containing page.
-# One consequence of point&nbsp;1 is that TeX code can be transformed into HTML, but not vice-versa.{{ref|dilHTML}}  This means that on the server side we can always transform a formula, based on its complexity and location within the text, user preferences, type of browser, etc.  Therefore, where possible, all the benefits of HTML can be retained, together with the benefits of TeX.  It is true that the current situation is not ideal, but that is not a good reason to drop information/contents.  It is more a reason to [[#Bug_reports|help improve the situation]].
-# Another consequence of point&nbsp;1 is that TeX can be converted to [[w:MathML|MathML]] for browsers which support it, thus keeping its semantics and allowing the rendering to be better suited for the reader&rsquo;s graphic device.
-# When writing in TeX, editors need not worry about whether this or that version of this or that browser supports this or that HTML entity. The burden of these decisions is put on the software. This does not hold for HTML formulae, which can easily end up being rendered wrongly or differently from the editor&rsquo;s intentions on a different browser.{{ref|browsupp}}
-# More importantly, the serif font used for rendering formulae is browser-dependent and it may be missing some important glyphs.  While the browser generally capable to substitute a matching glyph from a different font family, it need not be the case for combined glyphs (compare&nbsp;&lsquo;&nbsp;<VAR>{{IPA|a&#773;}}</VAR>&nbsp;&rsquo; and&nbsp;&lsquo;&nbsp;<VAR STYLE="FONT-FAMILY: SERIF">a&#773;</VAR>&nbsp;&rsquo;).
-# TeX is the preferred text formatting language of most professional mathematicians, scientists, and engineers. It is easier to persuade them to contribute if they can write in TeX.
-:<SMALL>{{note|dilHTML}} unless your wikitext follows the style of point&nbsp;2</SMALL>
-:<SMALL>{{note|browsupp}} The entity support problem is not limited to mathematical formulae though; it can be easily solved by using the corresponding characters instead of entities, as the character repertoire links do, except for cases where the corresponding glyphs are visually indiscernible (e.g. &amp;ndash; for &lsquo;&ndash;&rsquo; and &amp;minus;  for &lsquo;&minus;&rsquo;).</SMALL>
 == Functions, symbols, special characters ==
@@ Line 744: / Line 643: @@
 == Alphabets and typefaces ==
-[[w:Texvc|Texvc]] cannot render arbitrary [[w:Unicode|Unicode]] characters. Those it can handle can be entered by the expressions below.
+Texvc cannot render arbitrary Unicode characters. Those it can handle can be entered by the expressions below.
-For others, such as [[w:Cyrillic|Cyrillic]], they can be entered as Unicode or HTML entities in running text, but cannot be used in displayed formulas.
+For others, such as Cyrillic, they can be entered as Unicode or HTML entities in running text, but cannot be used in displayed formulas.
 {| class="wikitable"
@@ Line 1,038: / Line 937: @@
 See here for [http://oregonstate.edu/%7Epeterseb/tex/samples/docs/color-package-demo.pdf all named colors] supported by LaTeX.
-Note that color should not be used as the ''only'' way to identify something, because it will become meaningless on black-and-white media or for color-blind people.  See [[en:Wikipedia:Manual of Style#Color coding]].
+Note that color should not be used as the ''only'' way to identify something, because it will become meaningless on black-and-white media or for color-blind people.
 == Formatting issues ==
@@ Line 1,254: / Line 1,153: @@
 </center>
-==Notes==
+[[Category:Help]]
-<references/>

Feature	Syntax	How it looks rendered
Fractions	`\frac{1}{2}=0.5`	[math]\displaystyle{ \frac{1}{2}=0.5 }[/math]
Small Fractions	`\tfrac{1}{2} = 0.5`	[math]\displaystyle{ \tfrac{1}{2} = 0.5 }[/math]
Large (normal) Fractions	`\dfrac{k}{k-1} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{1}{2}}} = a`	[math]\displaystyle{ \dfrac{k}{k-1} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{1}{2}}} = a }[/math]
Large (nested) Fractions	`\cfrac{2}{c + \cfrac{2}{d + \cfrac{1}{2}}} = a`	[math]\displaystyle{ \cfrac{2}{c + \cfrac{2}{d + \cfrac{1}{2}}} = a }[/math]
Binomial coefficients	`\binom{n}{k}`	[math]\displaystyle{ \binom{n}{k} }[/math]
Small Binomial coefficients	`\tbinom{n}{k}`	[math]\displaystyle{ \tbinom{n}{k} }[/math]
Large (normal) Binomial coefficients	`\dbinom{n}{k}`	[math]\displaystyle{ \dbinom{n}{k} }[/math]
Matrices	\begin{matrix} x & y \\ z & v \end{matrix}	[math]\displaystyle{ \begin{matrix} x & y \\ z & v \end{matrix} }[/math]
	\begin{vmatrix} x & y \\ z & v \end{vmatrix}	[math]\displaystyle{ \begin{vmatrix} x & y \\ z & v \end{vmatrix} }[/math]
	\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}	[math]\displaystyle{ \begin{Vmatrix} x & y \\ z & v \end{Vmatrix} }[/math]
	\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix}	[math]\displaystyle{ \begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0\end{bmatrix} }[/math]
	\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}	[math]\displaystyle{ \begin{Bmatrix} x & y \\ z & v \end{Bmatrix} }[/math]
	\begin{pmatrix} x & y \\ z & v \end{pmatrix}	[math]\displaystyle{ \begin{pmatrix} x & y \\ z & v \end{pmatrix} }[/math]
	\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)	[math]\displaystyle{ \bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) }[/math]
Case distinctions	f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}	[math]\displaystyle{ f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} }[/math]
Multiline equations	\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align}	[math]\displaystyle{ \begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align} }[/math]
Multiline equations	\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat}	[math]\displaystyle{ \begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat} }[/math]
Multiline equations (must define number of colums used ({lcr}) (should not be used unless needed)	\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	[math]\displaystyle{ \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} }[/math]
Multiline equations (more)	\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	[math]\displaystyle{ \begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} }[/math]
Breaking up a long expression so that it wraps when necessary.	<math>f(x) = \sum_{n=0}^\infty a_n x^n </math> <math>= a_0+a_1x+a_2x^2+\cdots</math>	[math]\displaystyle{ f(x) = \sum_{n=0}^\infty a_n x^n }[/math][math]\displaystyle{ = a_0 +a_1x+a_2x^2+\cdots }[/math]
Simultaneous equations	\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}	[math]\displaystyle{ \begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases} }[/math]
Arrays	\begin{array}{\|c\|c\|\|c\|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}	[math]\displaystyle{ \begin{array}{\|c\|c\|\|c\|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array} }[/math]

Feature	Syntax	How it looks rendered
Parentheses	`\left ( \frac{a}{b} \right )`	[math]\displaystyle{ \left ( \frac{a}{b} \right ) }[/math]
Brackets	`\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack`	[math]\displaystyle{ \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack }[/math]
Braces	`\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace`	[math]\displaystyle{ \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace }[/math]
Angle brackets	`\left \langle \frac{a}{b} \right \rangle`	[math]\displaystyle{ \left \langle \frac{a}{b} \right \rangle }[/math]
Bars and double bars	`\left \| \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \\|`	[math]\displaystyle{ \left \| \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \\| }[/math]
Floor and ceiling functions:	`\left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil`	[math]\displaystyle{ \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil }[/math]
Slashes and backslashes	`\left / \frac{a}{b} \right \backslash`	[math]\displaystyle{ \left / \frac{a}{b} \right \backslash }[/math]
Up, down and up-down arrows	`\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow`	[math]\displaystyle{ \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow }[/math]
Delimiters can be mixed, as long as \left and \right match	`\left [ 0,1 \right )</code> <br/> <code>\left \langle \psi \right \|`	[math]\displaystyle{ \left [ 0,1 \right ) }[/math] [math]\displaystyle{ \left \langle \psi \right \| }[/math]
Use \left. and \right. if you don't want a delimiter to appear:	`\left . \frac{A}{B} \right \} \to X`	[math]\displaystyle{ \left . \frac{A}{B} \right \} \to X }[/math]
Size of the delimiters	`\big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]/`	[math]\displaystyle{ \big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big] }[/math]
	`\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle`	[math]\displaystyle{ \big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle }[/math]
	`\big\\| \Big\\| \bigg\\| \Bigg\\| \dots \Bigg\| \bigg\| \Big\| \big\|`	[math]\displaystyle{ \big\\| \Big\\| \bigg\\| \Bigg\\| \dots \Bigg\| \bigg\| \Big\| \big\| }[/math]
	`\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil`	[math]\displaystyle{ \big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil }[/math]
	`\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow`	[math]\displaystyle{ \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow }[/math]
	`\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow`	[math]\displaystyle{ \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow }[/math]
	`\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash`	[math]\displaystyle{ \big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash }[/math]

Greek alphabet
`\Alpha \Beta \Gamma \Delta \Epsilon \Zeta`	[math]\displaystyle{ \Alpha \Beta \Gamma \Delta \Epsilon \Zeta \,\! }[/math]
`\Eta \Theta \Iota \Kappa \Lambda \Mu`	[math]\displaystyle{ \Eta \Theta \Iota \Kappa \Lambda \Mu \,\! }[/math]
`\Nu \Xi \Pi \Rho \Sigma \Tau`	[math]\displaystyle{ \Nu \Xi \Pi \Rho \Sigma \Tau\,\! }[/math]
`\Upsilon \Phi \Chi \Psi \Omega`	[math]\displaystyle{ \Upsilon \Phi \Chi \Psi \Omega \,\! }[/math]
`\alpha \beta \gamma \delta \epsilon \zeta`	[math]\displaystyle{ \alpha \beta \gamma \delta \epsilon \zeta \,\! }[/math]
`\eta \theta \iota \kappa \lambda \mu`	[math]\displaystyle{ \eta \theta \iota \kappa \lambda \mu \,\! }[/math]
`\nu \xi \pi \rho \sigma \tau`	[math]\displaystyle{ \nu \xi \pi \rho \sigma \tau \,\! }[/math]
`\upsilon \phi \chi \psi \omega`	[math]\displaystyle{ \upsilon \phi \chi \psi \omega \,\! }[/math]
`\varepsilon \digamma \vartheta \varkappa`	[math]\displaystyle{ \varepsilon \digamma \vartheta \varkappa \,\! }[/math]
`\varpi \varrho \varsigma \varphi`	[math]\displaystyle{ \varpi \varrho \varsigma \varphi\,\! }[/math]
Blackboard Bold/Scripts
`\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G}`	[math]\displaystyle{ \mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G} \,\! }[/math]
`\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M}`	[math]\displaystyle{ \mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M} \,\! }[/math]
`\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T}`	[math]\displaystyle{ \mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T} \,\! }[/math]
`\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}`	[math]\displaystyle{ \mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}\,\! }[/math]
`\C \N \Q \R \Z`	[math]\displaystyle{ \C \N \Q \R \Z }[/math]
boldface (vectors)
`\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G}`	[math]\displaystyle{ \mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G} \,\! }[/math]
`\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M}`	[math]\displaystyle{ \mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M} \,\! }[/math]
`\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T}`	[math]\displaystyle{ \mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T} \,\! }[/math]
`\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z}`	[math]\displaystyle{ \mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z} \,\! }[/math]
`\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g}`	[math]\displaystyle{ \mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g} \,\! }[/math]
`\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m}`	[math]\displaystyle{ \mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m} \,\! }[/math]
`\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t}`	[math]\displaystyle{ \mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t} \,\! }[/math]
`\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z}`	[math]\displaystyle{ \mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z} \,\! }[/math]
`\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4}`	[math]\displaystyle{ \mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4} \,\! }[/math]
`\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}`	[math]\displaystyle{ \mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}\,\! }[/math]
Boldface (greek)
`\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}`	[math]\displaystyle{ \boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} \,\! }[/math]
`\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}`	[math]\displaystyle{ \boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}\,\! }[/math]
`\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}`	[math]\displaystyle{ \boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}\,\! }[/math]
`\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}`	[math]\displaystyle{ \boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}\,\! }[/math]
`\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}`	[math]\displaystyle{ \boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}\,\! }[/math]
`\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}`	[math]\displaystyle{ \boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}\,\! }[/math]
`\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}`	[math]\displaystyle{ \boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}\,\! }[/math]
`\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}`	[math]\displaystyle{ \boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}\,\! }[/math]
`\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}`	[math]\displaystyle{ \boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} \,\! }[/math]
`\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}`	[math]\displaystyle{ \boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}\,\! }[/math]
Italics
`\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G}`	[math]\displaystyle{ \mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G} \,\! }[/math]

Help:Math: Difference between revisions

Latest revision as of 13:07, 20 March 2012

Technicals

Syntax

Rendering

Functions, symbols, special characters

Accents/diacritics

Standard functions

Modular arithmetic

Derivatives

Sets

Operators

Logic

Root

Relations

Geometric

Arrows

Special

Unsorted (new stuff)