Mathjax语法符号归纳

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行间公式

简介
单个公式
不带对齐的换行公式
对齐的换行公式
不带对齐的公式组
带有多列对齐的公式组
对齐构建区块
调整标签的位置
垂直间距与多行公式的换行
中断行间公式
公式编号
编号秩序
编号公式的交叉引用
附属编号序列
编号风格
各种数学符号和特性

函数、符号及特殊字符

声调/变音符号
\dot{a}, \ddot{a}, \acute{a}, \grave{a}	${\displaystyle {\dot {a}},{\ddot {a}},{\acute {a}},{\grave {a}}}$
\check{a}, \breve{a}, \tilde{a}, \bar{a}	${\displaystyle {\check {a}},{\breve {a}},{\tilde {a}},{\bar {a}}}$
\hat{a}, \widehat{a}, \vec{a}	${\displaystyle {\hat {a}},{\widehat {a}},{\vec {a}}}$
标准函数
\exp_a b = a^b, \exp b = e^b, 10^m	${\displaystyle \exp _{a}b=a^{b},\exp b=e^{b},10^{m}}$
\ln c, \lg d = \log e, \log_{10} f	${\displaystyle \ln c,\lg d=\log e,\log _{10}f}$
\sin a, \cos b, \tan c, \cot d, \sec e, \csc f	${\displaystyle \sin a,\cos b,\tan c,\cot d,\sec e,\csc f}$
\arcsin a, \arccos b, \arctan c	${\displaystyle \arcsin a,\arccos b,\arctan c}$
\arccot d, \arcsec e, \arccsc f	${\displaystyle \operatorname {arccot} d,\operatorname {arcsec} e,\operatorname {arccsc} f}$
\sinh a, \cosh b, \tanh c, \coth d	${\displaystyle \sinh a,\cosh b,\tanh c,\coth d}$
\operatorname{sh}k, \operatorname{ch}l, \operatorname{th}m, \operatorname{coth}n	${\displaystyle \operatorname {sh} k,\operatorname {ch} l,\operatorname {th} m,\operatorname {coth} n}$
\operatorname{argsh}o, \operatorname{argch}p, \operatorname{argth}q	${\displaystyle \operatorname {argsh} o,\operatorname {argch} p,\operatorname {argth} q}$
\sgn r, \left\vert s \right\vert	${\displaystyle \operatorname {sgn} r,\left\vert s\right\vert }$
\min(x,y), \max(x,y)	${\displaystyle \min(x,y),\max(x,y)}$
界限
\min x, \max y, \inf s, \sup t	${\displaystyle \min x,\max y,\inf s,\sup t}$
\lim u, \liminf v, \limsup w	${\displaystyle \lim u,\liminf v,\limsup w}$
\dim p, \deg q, \det m, \ker\phi	${\displaystyle \dim p,\deg q,\det m,\ker \phi }$
投射
\Pr j, \hom l, \lVert z \rVert, \arg z	${\displaystyle \Pr j,\hom l,\lVert z\rVert ,\arg z}$
微分及导数
dt, \mathrm{d}t, \partial t, \nabla\psi	${\displaystyle dt,\mathrm {d} t,\partial t,\nabla \psi }$
dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x}, \frac{\partial^2}{\partial x_1\partial x_2}y	${\displaystyle dy/dx,\mathrm {d} y/\mathrm {d} x,{\frac {dy}{dx}},{\frac {\mathrm {d} y}{\mathrm {d} x}},{\frac {\partial ^{2}}{\partial x{1}\partial x{2}}}y}$
\prime, \backprime, f^\prime, f’, f’’, f^{(3)}, \dot y, \ddot y	${\displaystyle \prime ,\backprime ,f^{\prime },f’,f’’,f^{(3)}!,{\dot {y}},{\ddot {y}}}$
类字母符号及常数
\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar	${\displaystyle \infty ,\aleph ,\complement ,\backepsilon ,\eth ,\Finv ,\hbar }$
\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS, \S, \P, \AA	${\displaystyle \Im ,\imath ,\jmath ,\Bbbk ,\ell ,\mho ,\wp ,\Re ,\circledS ,\S ,\P ,\unicode{x212B} }$
模算数
s_k \equiv 0 \pmod{m}	${\displaystyle s_{k}\equiv 0{\pmod {m}}}$
a \bmod b	${\displaystyle a{\bmod {b}}}$
\gcd(m, n), \operatorname{lcm}(m, n)	${\displaystyle \gcd(m,n),\operatorname {lcm} (m,n)}$
\mid, \nmid, \shortmid, \nshortmid	${\displaystyle \mid ,\nmid ,\shortmid ,\nshortmid }$
根号
\surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{\frac{x^3+y^3}{2}}	$\displaystyle \surd ,\sqrt {2},{\sqrt[{n}]{}},{\sqrt[{3}]{\frac {x^{3}+y^{3}}{2}}}$
运算符
+, -, \pm, \mp, \dotplus	${\displaystyle +,-,\pm ,\mp ,\dotplus }$
\times, \div, \divideontimes, /, \backslash	${\displaystyle \times ,\div ,\divideontimes ,/,\backslash }$
\cdot, * \ast, \star, \circ, \bullet	${\displaystyle \cdot ,*\ast ,\star ,\circ ,\bullet }$
\boxplus, \boxminus, \boxtimes, \boxdot	${\displaystyle \boxplus ,\boxminus ,\boxtimes ,\boxdot }$
\oplus, \ominus, \otimes, \oslash, \odot	${\displaystyle \oplus ,\ominus ,\otimes ,\oslash ,\odot }$
\circleddash, \circledcirc, \circledast	${\displaystyle \circleddash ,\circledcirc ,\circledast }$
\bigoplus, \bigotimes, \bigodot	${\displaystyle \bigoplus ,\bigotimes ,\bigodot }$
集合
{ }, \O \empty \emptyset, \varnothing	${\displaystyle {},\emptyset \emptyset \emptyset ,\varnothing }$
\in, \notin \not\in, \ni, \not\ni	${\displaystyle \in ,\notin \not \in ,\ni ,\not \ni }$
\cap, \Cap, \sqcap, \bigcap	${\displaystyle \cap ,\Cap ,\sqcap ,\bigcap }$
\cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus	${\displaystyle \cup ,\Cup ,\sqcup ,\bigcup ,\bigsqcup ,\uplus ,\biguplus }$
\setminus, \smallsetminus, \times	${\displaystyle \setminus ,\smallsetminus ,\times }$
\subset, \Subset, \sqsubset	${\displaystyle \subset ,\Subset ,\sqsubset }$
\supset, \Supset, \sqsupset	${\displaystyle \supset ,\Supset ,\sqsupset }$
\subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq	${\displaystyle \subseteq ,\nsubseteq ,\subsetneq ,\varsubsetneq ,\sqsubseteq }$
\supseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq	${\displaystyle \supseteq ,\nsupseteq ,\supsetneq ,\varsupsetneq ,\sqsupseteq }$
\subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq	${\displaystyle \subseteqq ,\nsubseteqq ,\subsetneqq ,\varsubsetneqq }$
\supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq	${\displaystyle \supseteqq ,\nsupseteqq ,\supsetneqq ,\varsupsetneqq }$
关系符号
=, \ne, \neq, \equiv, \not\equiv	${\displaystyle =,\neq ,\neq ,\equiv ,\not \equiv }$
\doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, :=	${\displaystyle \doteq ,\doteqdot ,{\overset {\underset {\mathrm {def} }{}}{=}},:=}$
\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong	${\displaystyle \sim ,\nsim ,\backsim ,\thicksim ,\simeq ,\backsimeq ,\eqsim ,\cong ,\ncong }$
\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto	${\displaystyle \approx ,\thickapprox ,\approxeq ,\asymp ,\propto ,\varpropto }$
<, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot	${\displaystyle <,\nless ,\ll ,\not \ll ,\lll ,\not \lll ,\lessdot }$
>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot	${\displaystyle >,\ngtr ,\gg ,\not \gg ,\ggg ,\not \ggg ,\gtrdot }$
\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq	${\displaystyle \leq ,\leq ,\lneq ,\leqq ,\nleq ,\nleqq ,\lneqq ,\lvertneqq }$
\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq	${\displaystyle \geq ,\geq ,\gneq ,\geqq ,\ngeq ,\ngeqq ,\gneqq ,\gvertneqq }$
\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless	${\displaystyle \lessgtr ,\lesseqgtr ,\lesseqqgtr ,\gtrless ,\gtreqless ,\gtreqqless }$
\leqslant, \nleqslant, \eqslantless	${\displaystyle \leqslant ,\nleqslant ,\eqslantless }$
\geqslant, \ngeqslant, \eqslantgtr	${\displaystyle \geqslant ,\ngeqslant ,\eqslantgtr }$
\lesssim, \lnsim, \lessapprox, \lnapprox	${\displaystyle \lesssim ,\lnsim ,\lessapprox ,\lnapprox }$
\gtrsim, \gnsim, \gtrapprox, \gnapprox	${\displaystyle \gtrsim ,\gnsim ,\gtrapprox ,\gnapprox }$
\prec, \nprec, \preceq, \npreceq, \precneqq	${\displaystyle \prec ,\nprec ,\preceq ,\npreceq ,\precneqq }$
\succ, \nsucc, \succeq, \nsucceq, \succneqq	${\displaystyle \succ ,\nsucc ,\succeq ,\nsucceq ,\succneqq }$
\preccurlyeq, \curlyeqprec	${\displaystyle \preccurlyeq ,\curlyeqprec }$
\succcurlyeq, \curlyeqsucc	${\displaystyle \succcurlyeq ,\curlyeqsucc }$
\precsim, \precnsim, \precapprox, \precnapprox	${\displaystyle \precsim ,\precnsim ,\precapprox ,\precnapprox }$
\succsim, \succnsim, \succapprox, \succnapprox	${\displaystyle \succsim ,\succnsim ,\succapprox ,\succnapprox }$
几何符号
\parallel, \nparallel, \shortparallel, \nshortparallel	${\displaystyle \parallel ,\nparallel ,\shortparallel ,\nshortparallel }$
\perp, \angle, \sphericalangle, \measuredangle, 45^\circ	${\displaystyle \perp ,\angle ,\sphericalangle ,\measuredangle ,45^{\circ }}$
\Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar	${\displaystyle \Box ,\blacksquare ,\diamond ,\Diamond \lozenge ,\blacklozenge ,\bigstar }$
\bigcirc, \triangle, \bigtriangleup, \bigtriangledown	${\displaystyle \bigcirc ,\triangle ,\bigtriangleup ,\bigtriangledown }$
\vartriangle, \triangledown	${\displaystyle \vartriangle ,\triangledown }$
\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright	${\displaystyle \blacktriangle ,\blacktriangledown ,\blacktriangleleft ,\blacktriangleright }$
逻辑符号
\forall, \exists, \nexists	${\displaystyle \forall ,\exists ,\nexists }$
\therefore, \because, \And	${\displaystyle \therefore ,\because ,\And }$
\or \lor \vee, \curlyvee, \bigvee	${\displaystyle \lor ,\lor ,\vee ,\curlyvee ,\bigvee }$
\and \land \wedge, \curlywedge, \bigwedge	${\displaystyle \land ,\land ,\wedge ,\curlywedge ,\bigwedge }$
\bar{q}, \bar{abc}, \overline{q}, \overline{abc},	${\displaystyle {\bar {q}},{\bar {abc}},{\overline {q}},{\overline {abc}},}$
\lnot \neg, \not\operatorname{R}, \bot, \top	${\displaystyle \lnot \neg ,\not \operatorname {R} ,\bot ,\top }$
\vdash \dashv, \vDash, \Vdash, \models	${\displaystyle \vdash ,\dashv ,\vDash ,\Vdash ,\models }$
\Vvdash \nvdash \nVdash \nvDash \nVDash	${\displaystyle \Vvdash ,\nvdash ,\nVdash ,\nvDash ,\nVDash }$
\ulcorner \urcorner \llcorner \lrcorner	${\displaystyle \ulcorner \urcorner \llcorner \lrcorner }$
箭头
\Rrightarrow, \Lleftarrow	! ${\displaystyle \Rrightarrow ,\Lleftarrow }$
\Rightarrow, \nRightarrow, \Longrightarrow \implies	${\displaystyle \Rightarrow ,\nRightarrow ,\Longrightarrow ,\implies }$
\Leftarrow, \nLeftarrow, \Longleftarrow	${\displaystyle \Leftarrow ,\nLeftarrow ,\Longleftarrow }$
\Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow \iff	${\displaystyle \Leftrightarrow ,\nLeftrightarrow ,\Longleftrightarrow \iff }$
\Uparrow, \Downarrow, \Updownarrow	${\displaystyle \Uparrow ,\Downarrow ,\Updownarrow }$
\rightarrow \to, \nrightarrow, \longrightarrow	${\displaystyle \rightarrow \to ,\nrightarrow ,\longrightarrow }$
\leftarrow \gets, \nleftarrow, \longleftarrow	${\displaystyle \leftarrow \gets ,\nleftarrow ,\longleftarrow }$
\leftrightarrow, \nleftrightarrow, \longleftrightarrow	${\displaystyle \leftrightarrow ,\nleftrightarrow ,\longleftrightarrow }$
\uparrow, \downarrow, \updownarrow	${\displaystyle \uparrow ,\downarrow ,\updownarrow }$
\nearrow, \swarrow, \nwarrow, \searrow	${\displaystyle \nearrow ,\swarrow ,\nwarrow ,\searrow }$
\mapsto, \longmapsto	${\displaystyle \mapsto ,\longmapsto }$
\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons	${\displaystyle \rightharpoonup ,\rightharpoondown ,\leftharpoonup ,\leftharpoondown ,\upharpoonleft ,\upharpoonright ,\downharpoonleft ,\downharpoonright ,\rightleftharpoons ,\leftrightharpoons }$
\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright	${\displaystyle \curvearrowleft ,\circlearrowleft ,\Lsh ,\upuparrows ,\rightrightarrows ,\rightleftarrows ,\rightarrowtail ,\looparrowright }$
\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft	${\displaystyle \curvearrowright ,\circlearrowright ,\Rsh ,\downdownarrows ,\leftleftarrows ,\leftrightarrows ,\leftarrowtail ,\looparrowleft }$
\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow	${\displaystyle \hookrightarrow ,\hookleftarrow ,\multimap ,\leftrightsquigarrow ,\rightsquigarrow ,\twoheadrightarrow ,\twoheadleftarrow }$
特殊符号
\amalg \P \S \% \dagger \ddagger \ldots \cdots	! ${\displaystyle \amalg \P \S \%\dagger \ddagger \ldots \cdots }$
\smile \frown \wr \triangleleft \triangleright	${\displaystyle \smile \frown \wr \triangleleft \triangleright }$
\diamondsuit, \heartsuit, \clubsuit, \spadesuit, \Game, \flat, \natural, \sharp	${\displaystyle \diamondsuit ,\heartsuit ,\clubsuit ,\spadesuit ,\Game ,\flat ,\natural ,\sharp }$
未排序
\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes	${\displaystyle \diagup ,\diagdown ,\centerdot ,\ltimes ,\rtimes ,\leftthreetimes ,\rightthreetimes }$
\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq	${\displaystyle \eqcirc ,\circeq ,\triangleq ,\bumpeq ,\Bumpeq ,\doteqdot ,\risingdotseq ,\fallingdotseq }$
\intercal \barwedge \veebar \doublebarwedge \between \pitchfork	${\displaystyle \intercal ,\barwedge ,\veebar ,\doublebarwedge ,\between ,\pitchfork }$
\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright	${\displaystyle \vartriangleleft ,\ntriangleleft ,\vartriangleright ,\ntriangleright }$
\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq	${\displaystyle \trianglelefteq ,\ntrianglelefteq ,\trianglerighteq ,\ntrianglerighteq }$

关于这些符号的更多语义，参阅TeX Cookbook的简述

上标、下标及积分等

功能	语法	效果
上标	`a^2`	$\displaystyle a^{2}$
下标	`a_2`	$\displaystyle a_{2}$
组合	`a^{2+2}`	$\displaystyle a^{2+2}$
	`a_{i,j}`	$\displaystyle a_{i,j}$
结合上下标	`x_2^3`	$\displaystyle x_{2}^{3}$
前置上下标	`{}_1^2 \! X_3^4`	$\displaystyle {}_1^2 X_3^4$
导数（HTML）	`x'`	$\displaystyle x’$
导数（PNG）	`x^\prime`	$\displaystyle x^{\prime }$
导数（错误）	`x\prime`	$\displaystyle x\prime $
导数点	`\dot{x}`	$\displaystyle \dot {x}$
	`\ddot{y}`	$\displaystyle \ddot {y}$
向量	`\vec{c}`	$\displaystyle \vec {c}$
	`\overleftarrow{a b}`	$\displaystyle \overleftarrow {ab}$
	`\overrightarrow{c d}`	$\displaystyle \overrightarrow {cd}$
	`\overleftrightarrow{a b}`	$\displaystyle \overleftrightarrow {ab}$
	`\widehat{e f g}`	$\displaystyle \widehat {efg}$
上弧（注: 正确应该用 \overarc，但在这里行不通。要用建议的语法作为解决办法。）（使用\overarc时需要引入{arcs}包。）	`\overset{\frown} {AB}`	$\displaystyle \overset {\frown }{AB}$
上划线	`\overline{h i j}`	$\displaystyle \overline {hij}$
下划线	`\underline{k l m}`	$\displaystyle \underline {klm}$
上括号	`\overbrace{1+2+\cdots+100}`	$\displaystyle \overbrace {1+2+\cdots +100}$
	`\begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100 } \end{matrix}`	$\displaystyle \begin{matrix}5050 \\ \overbrace{1+2+\cdots +100} \end{matrix}$
下括号	`\underbrace{a+b+\cdots+z}`	$\displaystyle \underbrace {a+b+\cdots +z}$
	`\begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26 \end{matrix}`	\begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26 \end{matrix}
求和	`\sum_{k=1}^N k^2`	$\displaystyle \sum _{k=1}^{N}k^{2}$
	`\begin{matrix} \sum_{k=1}^N k^2 \end{matrix}`	$\displaystyle \begin{matrix}\sum _{k=1}^{N}k^{2}\end{matrix}$
求积	`\prod_{i=1}^N x_i`	$\displaystyle \prod_{i=1}^N x_i$
	`\begin{matrix} \prod_{i=1}^N x_i \end{matrix}`	\begin{matrix} \prod_{i=1}^N x_i \end{matrix}
上积	`\coprod_{i=1}^N x_i`	$\displaystyle \coprod_{i=1}^N x_i$
	`\begin{matrix} \coprod_{i=1}^N x_i \end{matrix}`	\begin{matrix} \coprod_{i=1}^N x_i \end{matrix}
极限	`\lim_{n \to \infty}x_n`	$\displaystyle \lim_{n \to \infty}x_n$
	`\begin{matrix} \lim_{n \to \infty}x_n \end{matrix}`	\begin{matrix} \lim_{n \to \infty}x_n \end{matrix}
积分	`\int_{-N}^{N} e^x\, \mathrm{d}x`	$\displaystyle \int _{-N}^{N}e^{x}\,\mathrm {d} x$
	`\begin{matrix} \int_{-N}^{N} e^x\, \mathrm{d}x \end{matrix}`	$\displaystyle \begin{matrix}\int _{-N}^{N}e^{x}\,\mathrm {d} x\end{matrix}$
双重积分	`\iint_{D}^{W} \, \mathrm{d}x\,\mathrm{d}y`	${\displaystyle \iint _{D}^{W}\,\mathrm {d} x\,\mathrm {d} y}$
三重积分	`\iiint_{E}^{V} \, \mathrm{d}x\,\mathrm{d}y\,\mathrm{d}z`	${\displaystyle \iiint _{E}^{V}\,\mathrm {d} x\,\mathrm {d} y\,\mathrm {d} z}$
四重积分	`\iiiint_{F}^{U} \, \mathrm{d}x\,\mathrm{d}y\,\mathrm{d}z\,\mathrm{d}t`	${\displaystyle \iiiint _{F}^{U}\,\mathrm {d} x\,\mathrm {d} y\,\mathrm {d} z\,\mathrm {d} t}$
闭合的曲线、曲面积分	`\oint_{C} x^3\, \mathrm{d}x + 4y^2\, \mathrm{d}y`	${\displaystyle \oint _{C}x^{3}\,\mathrm {d} x+4y^{2}\,\mathrm {d} y}$
交集	`\bigcap_1^{n} p`	${\displaystyle \bigcap _{1}^{n}p}$
并集	`\bigcup_1^{k} p`	${\displaystyle \bigcup _{1}^{k}p}$

分数、矩阵和多行列式

功能	语法	效果
分数	\frac{2}{4}=0.5	${\displaystyle {\frac {2}{4}}=0.5}$
小型分数	\tfrac{2}{4} = 0.5	${\displaystyle {\tfrac {2}{4}}=0.5}$
大型分数（嵌套）	\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a	${\displaystyle {\cfrac {2}{c+{\cfrac {2}{d+{\cfrac {2}{4}}}}}}=a}$
大型分数（不嵌套）	\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a	${\displaystyle {\dfrac {2}{4}}=0.5\qquad {\dfrac {2}{c+{\dfrac {2}{d+{\dfrac {2}{4}}}}}}=a}$
二项式系数	`\dbinom{n}{r}=\binom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}`	$\displaystyle\dbinom{n}{r}=\binom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}$
小型二项式系数	`\tbinom{n}{r}=\tbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}`	$\displaystyle \tbinom{n}{r}=\tbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}$
大型二项式系数	`\binom{n}{r}=\dbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}`	$\displaystyle\binom{n}{r}=\dbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}$
矩阵	`\begin{matrix} x & y \\ z & v \end{matrix}`	$\displaystyle \begin{matrix} x & y \\ z & v \end{matrix}$
	`\begin{vmatrix} x & y \\ z & v \end{vmatrix}`	$\displaystyle \begin{vmatrix} x & y \\ z & v \end{vmatrix}$
	`\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}`	$\displaystyle \begin{Vmatrix} x & y \\ z & v \end{Vmatrix}$
	`\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix}`	$\displaystyle \begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix}$
	`\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}`	$\displaystyle \begin{Bmatrix} x & y \\ z & v \end{Bmatrix}$
	`\begin{pmatrix} x & y \\ z & v \end{pmatrix}`	$\displaystyle \begin{pmatrix} x & y \\ z & v \end{pmatrix}$
	`\bigl( \begin{smallmatrix} a&b\ c&d \end{smallmatrix} \bigr)`	$\displaystyle \bigl( \begin{smallmatrix} a&b\ c&d \end{smallmatrix} \bigr)$
条件定义	`f(n) = \begin{cases} n/2,&{\mbox{if }}n{\mbox{ is even} \\ 3n+1,&{\mbox{if }}n{\mbox{ is odd} \end{cases}`	$\displaystyle f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}$
多行等式、同余式	`\begin{align} f(x)&=(m+n)^{2}\\ &=m^{2}+2mn+n^{2}\\ \end{align}`	$\displaystyle \begin{align} f(x)&=(m+n)^{2}\\ &=m^{2}+2mn+n^{2}\\ \end{align}$
	`\begin{align} 3^{6n+3}+4^{6n+3} &\equiv (3^{3})^{2n+1}+ (4^{3})^{2n+1}\\ &\equiv 27^{2n+1}+64^{2n+1}\\ &\equiv 27^{2n+1}+ (-27)^{2n+1}\\ &\equiv 27^{2n+1}-27^{2n+1}\\ &\equiv 0{\pmod {91}}\\ \end{align}`	$\displaystyle \begin{align} 3^{6n+3}+4^{6n+3} &\equiv (3^{3})^{2n+1}+ (4^{3})^{2n+1}\\ &\equiv 27^{2n+1}+64^{2n+1}\\ &\equiv 27^{2n+1}+ (-27)^{2n+1}\\ &\equiv 27^{2n+1}-27^{2n+1}\\ &\equiv 0{\pmod {91}}\\ \end{align}$
	`\begin{alignedat}{3} f(x)&=(m-n)^{2}\\ f(x)&=(-m+n)^{2}\\ &=m^{2}-2mn+n^{2}\\ \end{alignedat}`	$\displaystyle \begin{alignedat}{3} f(x)&=(m-n)^{2}\\ f(x)&=(-m+n)^{2}\\ &=m^{2}-2mn+n^{2}\\ \end{alignedat}$
多行等式（左对齐）	`\begin{array}{lcl} z &=&a\\ f(x,y,z)&=&x+y+z \end{array}`	$\displaystyle \begin{array}{lcl} z &=&a\\ f(x,y,z)&=&x+y+z \end{array}$
多行等式（右对齐）	`\begin{array}{lcr} z &=&a\\ f(x,y,z)&=&x+y+z \end{array}`	$\displaystyle \begin{array}{lcr} z &=&a\\ f(x,y,z)&=&x+y+z \end{array}$
长公式换行	`<math>f(x) \,!</math> <math>= \sum_{n=0}^\infty a_n x^n </math> <math>= a_0+a_1x+a_2x^2+\cdots</math>`	$\displaystyle f(x) \, = \sum_{n=0}^\infty a_n x^n \\ = a_0+a_1x+a_2x^2+\cdots$
方程组	`\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}`	$\displaystyle \begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}$
数组	`\begin{array}{\| c \| c \| \| c\|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}`	$\begin{array}{\| c \| c \| \| c\|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}$

字体

希腊字母
\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta	${\displaystyle \mathrm {A} \mathrm {B} \Gamma \Delta \mathrm {E} \mathrm {Z} \mathrm {H} \Theta }$
\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi	${\displaystyle \mathrm {I} \mathrm {K} \Lambda \mathrm {M} \mathrm {N} \mathrm {O} \Xi \Pi }$
\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega	${\displaystyle \mathrm {P} \Sigma \mathrm {T} \Upsilon \Phi \mathrm {X} \Psi \Omega }$
\alpha \beta \gamma \delta \epsilon \zeta \eta \theta	${\displaystyle \alpha \beta \gamma \delta \epsilon \zeta \eta \theta }$
\iota \kappa \lambda \mu \nu \omicron \xi \pi	${\displaystyle \iota \kappa \lambda \mu \nu \mathrm {o} \xi \pi }$
\rho \sigma \tau \upsilon \phi \chi \psi \omega	${\displaystyle \rho \sigma \tau \upsilon \phi \chi \psi \omega }$
\varepsilon \digamma \varkappa \varpi	${\displaystyle \varepsilon \digamma \varkappa \varpi }$
\varrho \varsigma \vartheta \varphi	${\displaystyle \varrho \varsigma \vartheta \varphi }$
希伯来符号
\aleph \beth \gimel \daleth	${\displaystyle \aleph \beth \gimel \daleth }$
黑板报粗体
\mathbb{ABCDEFGHI}	${\displaystyle \mathbb {ABCDEFGHI} }$
\mathbb{JKLMNOPQR}	${\displaystyle \mathbb {JKLMNOPQR} }$
\mathbb{STUVWXYZ}	${\displaystyle \mathbb {STUVWXYZ} }$
粗体
\mathbf{ABCDEFGHI}	${\displaystyle \mathbf {ABCDEFGHI} }$
\mathbf{JKLMNOPQR}	${\displaystyle \mathbf {JKLMNOPQR} }$
\mathbf{STUVWXYZ}	${\displaystyle \mathbf {STUVWXYZ} }$
\mathbf{abcdefghijklm}	${\displaystyle \mathbf {abcdefghijklm} }$
\mathbf{nopqrstuvwxyz}	${\displaystyle \mathbf {nopqrstuvwxyz} }$
\mathbf{0123456789}	${\displaystyle \mathbf {0123456789} }$
粗体希腊字母
\boldsymbol{\Alpha\Beta\Gamma\Delta\Epsilon\Zeta\Eta\Theta}	${\displaystyle {\boldsymbol {\mathrm {A} \mathrm {B} \Gamma \Delta \mathrm {E} \mathrm {Z} \mathrm {H} \Theta }}}$
\boldsymbol{\Iota\Kappa\Lambda\Mu\Nu\Xi\Pi\Rho}	${\displaystyle {\boldsymbol {\mathrm {I} \mathrm {K} \Lambda \mathrm {M} \mathrm {N} \Xi \Pi \mathrm {P} }}}$
\boldsymbol{\Sigma\Tau\Upsilon\Phi\Chi\Psi\Omega}	${\displaystyle {\boldsymbol {\Sigma \mathrm {T} \Upsilon \Phi \mathrm {X} \Psi \Omega }}}$
\boldsymbol{\alpha\beta\gamma\delta\epsilon\zeta\eta\theta}	${\displaystyle {\boldsymbol {\alpha \beta \gamma \delta \epsilon \zeta \eta \theta }}}$
\boldsymbol{\iota\kappa\lambda\mu\nu\xi\pi\rho}	${\displaystyle {\boldsymbol {\iota \kappa \lambda \mu \nu \xi \pi \rho }}}$
\boldsymbol{\sigma\tau\upsilon\phi\chi\psi\omega}	${\displaystyle {\boldsymbol {\sigma \tau \upsilon \phi \chi \psi \omega }}}$
\boldsymbol{\varepsilon\digamma\varkappa\varpi}	${\displaystyle {\boldsymbol {\varepsilon \digamma \varkappa \varpi }}}$
\boldsymbol{\varrho\varsigma\vartheta\varphi}	${\displaystyle {\boldsymbol {\varrho \varsigma \vartheta \varphi }}}$
斜体（拉丁字母默认）
\mathit{0123456789}	${\displaystyle {\mathit {0123456789}}}$
斜体希腊字母（小写字母默认）
\mathit{\Alpha\Beta\Gamma\Delta\Epsilon\Zeta\Eta\Theta}	${\displaystyle {\mathit {\mathrm {A} \mathrm {B} \Gamma \Delta \mathrm {E} \mathrm {Z} \mathrm {H} \Theta }}}$
\mathit{\Iota\Kappa\Lambda\Mu\Nu\Xi\Pi\Rho}	${\displaystyle {\mathit {\mathrm {I} \mathrm {K} \Lambda \mathrm {M} \mathrm {N} \Xi \Pi \mathrm {P} }}}$
\mathit{\Sigma\Tau\Upsilon\Phi\Chi\Psi\Omega}	${\displaystyle {\mathit {\Sigma \mathrm {T} \Upsilon \Phi \mathrm {X} \Psi \Omega }}}$
罗马体
\mathrm{ABCDEFGHI}	${\displaystyle \mathrm {ABCDEFGHI} }$
\mathrm{JKLMNOPQR}	${\displaystyle \mathrm {JKLMNOPQR} }$
\mathrm{STUVWXYZ}	${\displaystyle \mathrm {STUVWXYZ} }$
\mathrm{abcdefghijklm}	${\displaystyle \mathrm {abcdefghijklm} }$
\mathrm{nopqrstuvwxyz}	${\displaystyle \mathrm {nopqrstuvwxyz} }$
\mathrm{0123456789}	${\displaystyle \mathrm {0123456789} }$
无衬线体
\mathsf{ABCDEFGHI}	${\displaystyle {\mathsf {ABCDEFGHI}}}$
\mathsf{JKLMNOPQR}	${\displaystyle {\mathsf {JKLMNOPQR}}}$
\mathsf{STUVWXYZ}	${\displaystyle {\mathsf {STUVWXYZ}}}$
\mathsf{abcdefghijklm}	${\displaystyle {\mathsf {abcdefghijklm}}}$
\mathsf{nopqrstuvwxyz}	${\displaystyle {\mathsf {nopqrstuvwxyz}}}$
\mathsf{0123456789}	${\displaystyle {\mathsf {0123456789}}}$
无衬线体希腊字母（仅大写）
\mathsf{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta}	${\displaystyle {\mathsf {\mathrm {A} \mathrm {B} \Gamma \Delta \mathrm {E} \mathrm {Z} \mathrm {H} \Theta }}}$
\mathsf{\Iota \Kappa \Lambda \Mu \Nu \Xi \Pi \Rho}	${\displaystyle {\mathsf {\mathrm {I} \mathrm {K} \Lambda \mathrm {M} \mathrm {N} \Xi \Pi \mathrm {P} }}}$
\mathsf{\Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega}	${\displaystyle {\mathsf {\Sigma \mathrm {T} \Upsilon \Phi \mathrm {X} \Psi \Omega }}}$
手写体/花体
\mathcal{ABCDEFGHI}	${\displaystyle {\mathcal {ABCDEFGHI}}}$
\mathcal{JKLMNOPQR}	${\displaystyle {\mathcal {JKLMNOPQR}}}$
\mathcal{STUVWXYZ}	${\displaystyle {\mathcal {STUVWXYZ}}}$
Fraktur体
\mathfrak{ABCDEFGHI}	${\displaystyle {\mathfrak {ABCDEFGHI}}}$
\mathfrak{JKLMNOPQR}	${\displaystyle {\mathfrak {JKLMNOPQR}}}$
\mathfrak{STUVWXYZ}	${\displaystyle {\mathfrak {STUVWXYZ}}}$
\mathfrak{abcdefghijklm}	${\displaystyle {\mathfrak {abcdefghijklm}}}$
\mathfrak{nopqrstuvwxyz}	${\displaystyle {\mathfrak {nopqrstuvwxyz}}}$
\mathfrak{0123456789}	${\displaystyle {\mathfrak {0123456789}}}$
小型手写体
{\scriptstyle\text{abcdefghijklm}}	${\displaystyle {\scriptstyle {\text{abcdefghijklm}}}}$

混合字体

特征	语法	$渲染效果$
斜体字符（忽略空格）	x y z	${\displaystyle xyz}$
非斜体字符	\text{x y z}	${\displaystyle {\text{x y z}}}$
混合斜体（差）	\text{if} n \text{is even}	${\displaystyle {\text{if}}n{\text{is even}}}$
混合斜体（好）	\text{if }n\text{ is even}	${\displaystyle {\text{if }}n{\text{ is even}}}$
混合斜体（替代品：~ 或者”\ “强制空格）	\text{if}~n\ \text{is even}	${\displaystyle {\text{if}}~n\ {\text{is even}}}$

括号

功能	语法	显示
短括号	( \frac{1}{2} )	${\displaystyle ({\frac {1}{2}})}$
长括号	\left( \frac{1}{2} \right)	${\displaystyle \left({\frac {1}{2}}\right)}$

可以使用 \left 和 \right 来显示不同的括号：

功能	语法	显示
圆括号，小括号	\left( \frac{a}{b} \right)	$\left( \frac{a}{b} \right)$
方括号，中括号	\left[ \frac{a}{b} \right]	$\left[ \frac{a}{b} \right]$
花括号，大括号	\left{ \frac{a}{b} \right}	$\left\{ \frac{a}{b} \right\}$
角括号	\left \langle \frac{a}{b} \right \rangle	$\left\langle \frac{a}{b} \right \rangle$
单竖线，绝对值	`\left\| \frac{a}{b} \right\|`
双竖线，范	`\left \| \frac{a}{b} \right \|`
取整函数	\left \lfloor \frac{a}{b} \right \rfloor	$\left \lfloor \frac{a}{b} \right \rfloor$
取顶函数	\left \lceil \frac{c}{d} \right \rceil	$\left \lceil \frac{c}{d} \right \rceil$
斜线与反斜线	\left / \frac{a}{b} \right \backslash	$\left / \frac{a}{b} \right \backslash$
上下箭头	\left \uparrow \frac{a}{b} \right \downarrow	$\left\uparrow {\frac {a}{b}}\right\downarrow$
	\left \Uparrow \frac{a}{b} \right \Downarrow	$\left\Uparrow {\frac {a}{b}}\right\Downarrow$
	\left \updownarrow \frac{a}{b} \right \Updownarrow	$\left\updownarrow {\frac {a}{b}}\right\Updownarrow$
混合括号	`\left [ 0,1 \right ) \left \langle \psi \right \|`
单左括号	\left { \frac{a}{b} \right .
单右括号	\left . \frac{a}{b} \right }

备注：

可以使用 \big, \Big, \bigg, \Bigg 控制括号的大小，比如代码

\Bigg ( \bigg [ \Big { \big \langle \left | | \frac{a}{b} | \right | \big \rangle \Big } \bigg ] \Bigg )

　显示︰

${\Bigg (}{\bigg [}{\Big \{}{\big \langle }\left|\|{\frac {a}{b}}\|\right|{\big \rangle }{\Big \}}{\bigg ]}{\Bigg )}$

空格

TEX能够自动处理大多数的空格，但是有时候需要自己来控制。

功能	语法	显示	宽度
2个quad空格	`\alpha\qquad\beta`	$\alpha\qquad\beta$	$2m\$
quad空格	`\alpha\quad\beta`	$\alpha\quad\beta$	$m\$
大空格	`\alpha\ \beta`	$\alpha\ \beta$	$\frac{m}{3}$
中等空格	`\alpha\;\beta`	$\alpha\;\beta$	$\frac{2m}{7}$
小空格	`\alpha\,\beta`	$\alpha\,\beta$	$\frac{m}{6}$
没有空格	`\alpha\beta`	$\alpha\beta\$	$0\$
紧贴	`\alpha\!\beta`	$\alpha\!\beta$	$-\frac{m}{6}$

颜色

语法

字体颜色︰{\color{色调}表达式}
~~背景颜色︰{\pagecolor{色调}表达式}~~[c]~ 这个命令已经失效

支持色调表

$\color{Apricot}\text{Apricot}$	$\color{Aquamarine}\text{Aquamarine}$	$\color{Bittersweet}\text{Bittersweet}$	$\color{Black}\text{Black}$
$\color{Blue}\text{Blue}$	$\color{BlueGreen}\text{BlueGreen}$	$\color{BlueViolet}\text{BlueViolet}$	$\color{BrickRed}\text{BrickRed}$
$\color{Brown}\text{Brown}$	$\color{BurntOrange}\text{BurntOrange}$	$\color{CadetBlue}\text{CadetBlue}$	$\color{CarnationPink}\text{CarnationPink}$
$\color{Cerulean}\text{Cerulean}$	$\color{CornflowerBlue}\text{CornflowerBlue}$	$\color{Cyan}\text{Cyan}$	$\color{Dandelion}\text{Dandelion}$
$\color{DarkOrchid}\text{DarkOrchid}$	$\color{Emerald}\text{Emerald}$	$\color{ForestGreen}\text{ForestGreen}$	$\color{Fuchsia}\text{Fuchsia}$
$\color{Goldenrod}\text{Goldenrod}$	$\color{Gray}\text{Gray}$	$\color{Green}\text{Green}$	$\color {GreenYellow}{\text{GreenYellow}}$
$\color{JungleGreen}\text{JungleGreen}$	$\color{Lavender}\text{Lavender}$	$\color{LimeGreen}\text{LimeGreen}$	$\color{Magenta}\text{Magenta}$
$\color{Mahogany}\text{Mahogany}$	$\color{Maroon}\text{Maroon}$	$\color{Melon}\text{Melon}$	$\color{MidnightBlue}\text{MidnightBlue}$
$\color{Mulberry}\text{Mulberry}$	$\color{NavyBlue}\text{NavyBlue}$	$\color{OliveGreen}\text{OliveGreen}$	$\color{Orange}\text{Orange}$
$\color{OrangeRed}\text{OrangeRed}$	$\color{Orchid}\text{Orchid}$	$\color{Peach}\text{Peach}$	$\color{Periwinkle}\text{Periwinkle}$
$\color{PineGreen}\text{PineGreen}$	$\color{Plum}\text{Plum}$	$\color{ProcessBlue}\text{ProcessBlue}$	$\color{Purple}\text{Purple}$
$\color{RawSienna}\text{RawSienna}$	$\color{Red}\text{Red}$	$\color{RedOrange}\text{RedOrange}$	$\color{RedViolet}\text{RedViolet}$
$\color{Rhodamine}\text{Rhodamine}$	$\color{RoyalBlue}\text{RoyalBlue}$	$\color{RoyalPurple}\text{RoyalPurple}$	$\color{RubineRed}\text{RubineRed}$
$\color{Salmon}\text{Salmon}$	$\color{SeaGreen}\text{SeaGreen}$	$\color{Sepia}\text{Sepia}$	$\color{SkyBlue}\text{SkyBlue}$
$\color {SpringGreen}{\text{SpringGreen}}$	$\color{Tan}\text{Tan}$	$\color{TealBlue}\text{TealBlue}$	$\color{Thistle}\text{Thistle}$
$\color{Turquoise}\text{Turquoise}$	$\color{Violet}\text{Violet}$	$\color{VioletRed}\text{VioletRed}$	${\displaystyle \color {White}{\text{White}}}$
$\color{WildStrawberry}\text{WildStrawberry}$	$\color {Yellow}{\text{Yellow}}$	$\color{YellowGreen}\text{YellowGreen}$	$\color{YellowOrange}\text{YellowOrange}$