LaTeX 备忘清单 & latex cheatsheet & 开发手册

示例

% \f is defined as #1f(#2) using the macro f\relax(x) = \int_{-\infty}^\infty f\hat\xi\,e^{2 \pi i \xi x} \,d\xi

% \f is defined as #1f(#2) using the macro
f\relax(x) = \int_{-\infty}^\infty
    f\hat\xi\,e^{2 \pi i \xi x}
    \,d\xi

行内展示

基于 KaTeX 在一行
展示示例： `KaTeX:\int_0^\infty x^2 dx`

基于 KaTeX 在一行展示示例： $\int_0^\infty x^2 dx$

Accents

:-	:-	:-
$a'$ `a'`	$\tilde{a}$ `\tilde{a}`	$\mathring{g}$ `\mathring{g}`
$a''$ `a''`	$\widetilde{ac}$ `\widetilde{ac}`	$\overgroup{AB}$ `\overgroup{AB}`
$a^{\prime}$ `a^{\prime}`	$\utilde{AB}$ `\utilde{AB}`	$\undergroup{AB}$ `\undergroup{AB}`
$\acute{a}$ `\acute{a}`	$\vec{F}$ `\vec{F}`	$\Overrightarrow{AB}$ `\Overrightarrow{AB}`
$\bar{y}$ `\bar{y}`	$\overleftarrow{AB}$ `\overleftarrow{AB}`	$\overrightarrow{AB}$ `\overrightarrow{AB}`
$\breve{a}$ `\breve{a}`	$\underleftarrow{AB}$ `\underleftarrow{AB}`	$\underrightarrow{AB}$ `\underrightarrow{AB}`
$\check{a}$ `\check{a}`	$\overleftharpoon{ac}$ `\overleftharpoon{ac}`	$\overrightharpoon{ac}$ `\overrightharpoon{ac}`
$\dot{a}$ `\dot{a}`	$\overleftrightarrow{AB}$ `\overleftrightarrow{AB}`	$\overbrace{AB}$ `\overbrace{AB}`
$\ddot{a}$ `\ddot{a}`	$\underleftrightarrow{AB}$ `\underleftrightarrow{AB}`	$\underbrace{AB}$ `\underbrace{AB}`
$\grave{a}$ `\grave{a}`	$\overline{AB}$ `\overline{AB}`	$\overlinesegment{AB}$ `\overlinesegment{AB}`
$\hat{\theta}$ `\hat{\theta}`	$\underline{AB}$ `\underline{AB}`	$\underlinesegment{AB}$ `\underlinesegment{AB}`
$\widehat{ac}$ `\widehat{ac}`	$\widecheck{ac}$ `\widecheck{ac}`	$\underbar{X}$ `\underbar{X}`

\text｛…｝中的强调功能

:-	:-	:-
$\'{a}$ `\'{a}`	$\~{a}$ `\~{a}`
$\.{a}$ `\.{a}`	$\H{a}$ `\H{a}`
$\\\`{a}$ \`{a}	$\={a}$ `\={a}`
$\"{a}$ `\"{a}`	$\v{a}$ `\v{a}`
$\^{a}$ `\^{a}`	$\u{a}$ `\u{a}`
$\r{a}$ `\r{a}`

Delimiter Sizing

:-	:-
$\left(\LARGE{AB}\right)$	`\left(\LARGE{AB}\right)`
$( \big( \Big( \bigg( \Bigg($	`( \big( \Big( \bigg( \Bigg(`

:-	:-	:-	:-	:-
`\left`	`\big`	`\bigl`	`\bigm`	`\bigr`
`\middle`	`\Big`	`\Bigl`	`\Bigm`	`\Bigr`
`\right`	`\bigg`	`\biggl`	`\biggm`	`\biggr`
`\`	`\Bigg`	`\Biggl`	`\Biggm`	`\Biggr`

希腊和希伯来字母 Greek and Hebrew letters

预览	方法	预览	方法	预览	方法	预览	方法	预览	方法	预览	方法
$\alpha$	`\alpha`	$\kappa$	`\kappa`	$\psi$	`\psi`	$\digamma$	`\digamma`	$\Delta$	`\Delta`	$\Theta$	`\Theta`
$\beta$	`\beta`	$\lambda$	`\lambda`	$\rho$	`\rho`	$\varepsilon$	`\varepsilon`	$\Gamma$	`\Gamma`	$\Upsilon$	`\Upsilon`
$\chi$	`\chi`	$\mu$	`\mu`	$\sigma$	`\sigma`	$\varkappa$	`\varkappa`	$\Lambda$	`\Lambda`	$\Xi$	`\Xi`
$\delta$	`\delta`	$\nu$	`\nu`	$\tau$	`\tau`	$\varphi$	`\varphi`	$\Omega$	`\Omega`
$\epsilon$	`\epsilon`	$o$	`o`	$\theta$	`\theta`	$\varpi$	`\varpi`	$\Phi$	`\Phi`	$\aleph$	`\aleph`
$\eta$	`\eta`	$\omega$	`\omega`	$\upsilon$	`\upsilon`	$\varrho$	`\varrho`	$\Pi$	`\Pi`	$\beth$	`\beth`
$\gamma$	`\gamma`	$\phi$	`\phi`	$\xi$	`\xi`	$\varsigma$	`\varsigma`	$\Psi$	`\Psi`	$\daleth$	`\daleth`
$\iota$	`\iota`	$\pi$	`\pi`	$\zeta$	`\zeta`	$\vartheta$	`\vartheta`	$\Sigma$	`\Sigma`	$\gimel$	`\gimel`

其它字母

:-	:-	:-	:-	:-	:-	:-	:-	:-	:-
$\imath$	`\imath`	$\nabla$	`\nabla`	$\Im$	`\Im`	$\Reals$	`\Reals`	$\text{\OE}$	`\text{\OE}`
$\jmath$	`\jmath`	$\partial$	`\partial`	$\image$	`\image`	$\wp$	`\wp`	$\text{\o}$	`\text{\o}`
$\aleph$	`\aleph`	$\Game$	`\Game`	$\Bbbk$	`\Bbbk`	$\weierp$	`\weierp`	$\text{\O}$	`\text{\O}`
$\alef$	`\alef`	$\Finv$	`\Finv`	$\N$	`\N`	$\Z$	`\Z`	$\text{\ss}$	`\text{\ss}`
$\alefsym$	`\alefsym`	$\cnums$	`\cnums`	$\natnums$	`\natnums`	$\text{\aa}$	`\text{\aa}`	$\text{\i}$	`\text{\i}`
$\beth$	`\beth`	$\Complex$	`\Complex`	$\R$	`\R`	$\text{\AA}$	`\text{\AA}`	$\text{\j}$	`\text{\j}`
$\gimel$	`\gimel`	$\ell$	`\ell`	$\Re$	`\Re`	$\text{\ae}$	`\text{\ae}`
$\daleth$	`\daleth`	$\hbar$	`\hbar`	$\real$	`\real`	$\text{\AE}$	`\text{\AE}`
$\eth$	`\eth`	$\hslash$	`\hslash`	$\reals$	`\reals`	$\text{\oe}$	`\text{\oe}`

字母和 Unicode

预览	方法	预览	方法	预览	方法	预览	方法
$\Alpha$	`\Alpha`	$\Beta$	`\Beta`	$\Gamma$	`\Gamma`	$\Delta$	`\Delta`
$\Epsilon$	`\Epsilon`	$\Zeta$	`\Zeta`	$\Eta$	`\Eta`	$\Theta$	`\Theta`
$\Iota$	`\Iota`	$\Kappa$	`\Kappa`	$\Lambda$	`\Lambda`	$\Mu$	`\Mu`
$\Nu$	`\Nu`	$\Xi$	`\Xi`	$\Omicron$	`\Omicron`	$\Pi$	`\Pi`
$\Rho$	`\Rho`	$\Sigma$	`\Sigma`	$\Tau$	`\Tau`	$\Upsilon$	`\Upsilon`
$\Phi$	`\Phi`	$\Chi$	`\Chi`	$\Psi$	`\Psi`	$\Omega$	`\Omega`
$\varGamma$	`\varGamma`	$\varDelta$	`\varDelta`	$\varTheta$	`\varTheta`	$\varLambda$	`\varLambda`
$\varXi$	`\varXi`	$\varPi$	`\varPi`	$\varSigma$	`\varSigma`	$\varUpsilon$	`\varUpsilon`
$\varPhi$	`\varPhi`	$\varPsi$	`\varPsi`	$\varOmega$	`\varOmega`
$\alpha$	`\alpha`	$\beta$	`\beta`	$\gamma$	`\gamma`	$\delta$	`\delta`
$\epsilon$	`\epsilon`	$\zeta$	`\zeta`	$\eta$	`\eta`	$\theta$	`\theta`
$\iota$	`\iota`	$\kappa$	`\kappa`	$\lambda$	`\lambda`	$\mu$	`\mu`
$\nu$	`\nu`	$\xi$	`\xi`	$\omicron$	`\omicron`	$\pi$	`\pi`
$\rho$	`\rho`	$\sigma$	`\sigma`	$\tau$	`\tau`	$\upsilon$	`\upsilon`
$\phi$	`\phi`	$\chi$	`\chi`	$\psi$	`\psi`	$\omega$	`\omega`
$\varepsilon$	`\varepsilon`	$\varkappa$	`\varkappa`	$\vartheta$	`\vartheta`	$\thetasym$	`\thetasym`
$\varpi$	`\varpi`	$\varrho$	`\varrho`	$\varsigma$	`\varsigma`	$\varphi$	`\varphi`
$\digamma$	`\digamma`

注解

:-	:-	:-	:-
$\cancel{5}$	`\cancel{5}`	$\overbrace{a+b+c}^{\text{note}}$	`\overbrace{a+b+c}^{\text{note}}`
$\bcancel{5}$	`\bcancel{5}`	$\underbrace{a+b+c}_{\text{note}}$	`\underbrace{a+b+c}_{\text{note}}`
$\xcancel{ABC}$	`\xcancel{ABC}`	$\not =$	`\not =`
$\sout{abc}$	`\sout{abc}`	$\boxed{\pi=\frac c d}$	`\boxed{\pi=\frac c d}`
$\$a_{\angl n}$ MD语法冲突	`$a_{\angl n}`	$a_\angln$	`a_\angln`
$\phase{-78^\circ}$	`\phase{-78^\circ}`

\tag{hi} x+y^{2x}

\tag{hi} x+y^{2x}

\tag*{hi} x+y^{2x}

\tag*{hi} x+y^{2x}

垂直布局

:-	:-	:-	:-	:-	:-
$x_n$	`x_n`	$\stackrel{!}{=}$	`\stackrel{!}{=}`	$a \atop b$	`a \atop b`
$e^x$	`e^x`	$\overset{!}{=}$	`\overset{!}{=}`	$a\raisebox{0.25em}{$b$}c$	`a\raisebox{0.25em}{$b$}c`
$_u^o$	`_u^o`	$\underset{!}{=}$	`\underset{!}{=}`	$a+\left(\vcenter{\hbox{$\frac{\frac a b}c$}}\right)$	`a+\left(\vcenter{\hbox{$\frac{\frac a b}c$}}\right)`
$\sum_{\substack{0<i<m\\0<j<n}}$	`\sum_{\substack{0<i<m\\0<j<n}}`

重叠和间距

:-	:-	:-	:-
${=}\mathllap{/\,}$ {=}\mathllap{/,}	$\left(x^{\smash{2}}\right)$	\left(x^{\smash{2}}\right)
$\mathrlap{\,/}{=}$ \mathrlap{,/}{=}	$\sqrt{\smash[b]{y}}$	\sqrt{\smash[b]{y}}

\sum_{\mathclap{1\le i\le j\le n}} x_{ij}

\sum_{\mathclap{1\le i\le j\le n}} x_{ij}

$\LaTeX$ math constructs

预览	方法	预览	方法	预览	方法
$\frac{abc}{xyz}$	`\frac{abc}{xyz}`	$\overline{abc}$	`\overline{abc}`	$\overrightarrow{abc}$	`\overrightarrow{abc}`
$f'$	`f'`	$\underline{abc}$	`\underline{abc}`	$\overleftarrow{abc}$	`\overleftarrow{abc}`
$\sqrt{abc}$	`\sqrt{abc}`	$\widehat{abc}$	`\widehat{abc}`	$\overbrace{abc}$	`\overbrace{abc}`
$\sqrt[n]{abc}$	`\sqrt[n]{abc}`	$\widetilde{abc}$	`\widetilde{abc}`	$\underbrace{abc}$	`\underbrace{abc}`

分隔符 Delimiters

预览	方法	预览	方法	预览	方法	预览	方法	预览	方法
$()$	`()`	$\lparen \rparen$	`\lparen` `\rparen`	$⌈ ⌉$	`⌈ ⌉`	$\lceil \rceil$	`\lceil` `\rceil`	$\uparrow$	`\uparrow`
$[]$	`[]`	$\lbrack \rbrack$	`\lbrack` `\rbrack`	$⌊ ⌋$	`⌊ ⌋`	$\lfloor \rfloor$	`\lfloor` `\rfloor`	$\downarrow$	`\downarrow`
$\{ \}$	`{}`	$\lbrace \rbrace$	`\lbrace` `\rbrace`	$⎰⎱$	`⎰⎱`	$\lmoustache \rmoustache$	`\lmoustache` `\rmoustache`	$\updownarrow$	`\updownarrow`
$⟨ ⟩$	`⟨⟩`	$\langle \rangle$	`\langle` `\rangle`	$⟮ ⟯$	`⟮ ⟯`	$\lgroup \rgroup$	`\lgroup` `\rgroup`	$\Uparrow$	`\Uparrow`
$∣$	`\|`	$\vert$	`\vert`	$┌ ┐$	`┌ ┐`	$\ulcorner \urcorner$	`\ulcorner` `\urcorner`	$\Downarrow$	`\Downarrow`
$\|$ ( MD语法冲突 )	`\\|`	$\Vert$	`\Vert`	$└ ┘$	`└ ┘`	$\llcorner \lrcorner$	`\llcorner` `\lrcorner`	$\Updownarrow$	`\Updownarrow`
$∣ ∣$	`\lvert` `\rvert`	$\lVert \rVert$	`\lVert` `\rVert`		`\left.`		`\right.`	$\backslash$	`\backslash`
$\lang$ $\rang$	`\lang` `\rang`	$\lt \gt$	`\lt \gt`	$⟦ ⟧$	`⟦ ⟧`	$\llbracket \rrbracket$	`\llbracket` `\rrbracket`	$\lBrace \rBrace$	`\lBrace \rBrace`

可以使用一对表达式 \left $s_1$ 和 \right $s_2$ 来将分隔符 $s_1$ 和 $s_2$ 的高度与其内容的高度进行匹配，例如:

:-	:-	:-	:-	:-	:-	:-	:-	:-	:-	:-
$\left\|$	$expr$	$\right\|$		$\left\{$	$expr$	$\right\}$		$\left\Vert$	$expr$	$\right.$

可变大小的符号

预览	方法	预览	方法	预览	方法	预览	方法	预览	方法
$\sum$	`\sum`	$\int$	`\int`	$\biguplus$	`\biguplus`	$\bigoplus$	`\bigoplus`	$\bigvee$	`\bigvee`
$\prod$	`\prod`	$\oint$	`\oint`	$\bigcap$	`\bigcap`	$\bigotimes$	`\bigotimes`	$\bigwedge$	`\bigwedge`
$\coprod$	`\coprod`	$\iint$	`\iint`	$\bigcup$	`\bigcup`	$\bigodot$	`\bigodot`	$\bigodot$	`\bigodot`

标准函数名称

预览	方法	预览	方法	预览	方法	预览	方法
$\arccos$	`\arccos`	$\arcsin$	`\arcsin`	$\arcsin$	`\arcsin`	$\arg$	`\arg`
$\cos$	`\cos`	$\cosh$	`\cosh`	$\cot$	`\cot`	$\coth$	`\coth`
$\csc$	`\csc`	$\deg$	`\deg`	$\det$	`\det`	$\dim$	`\dim`
$\exp$	`\exp`	$\gcd$	`\gcd`	$\hom$	`\hom`	$\inf$	`\inf`
$\ker$	`\ker`	$\lg$	`\lg`	$\lim$	`\lim`	$\liminf$	`\liminf`
$\limsup$	`\limsup`	$\ln$	`\ln`	$\log$	`\log`	$\max$	`\max`
$\min$	`\min`	$\Pr$	`\Pr`	$\sec$	`\sec`	$\sin$	`\sin`
$\sinh$	`\sinh`	$\sup$	`\sup`	$\tan$	`\tan`	$\tanh$	`\tanh`

函数名应该用罗马字体，而不是斜体，例如:

:-	:-	:-	:-
Correct:	`\tan(at-n\pi)`	$\rightarrow$	$\tan(at-n\pi)$
Incorrect:	`tan(at-n\pi)`	$\rightarrow$	$tan(at-n\pi)$

逻辑与集合论

:-	:-	:-	:-	:-	:-	:-	:-
$\forall$	`\forall`	$\complement$	`\complement`	$\therefore$	`\therefore`	$\emptyset$	`\emptyset`
$\exists$	`\exists`	$\subset$	`\subset`	$\because$	`\because`	$\empty$	`\empty`
$\exist$	`\exist`	$\supset$	`\supset`	$\mapsto$	`\mapsto`	$\varnothing$	`\varnothing`
$\nexists$	`\nexists`	$\mid$	`\mid`	$\to$	`\to`	$\implies$	`\implies`
$\in$	`\in`	$\land$	`\land`	$\gets$	`\gets`	$\impliedby$	`\impliedby`
$\isin$	`\isin`	$\lor$	`\lor`	$\leftrightarrow$	`\leftrightarrow`	$\iff$	`\iff`
$\notin$	`\notin`	$\ni$	`\ni`	$\notni$	`\notni`	$\neg$ $\lnot$	`\neg` 或 `\lnot`

:-	:-	:-	:-
$\Set{ x \| x<\frac 1 2 }$	\Set{ x \| x<\frac 1 2 }	$\set{x\|x<5}$	\set{x\|x<5}

宏指令

:-	:-	:-	:-
$\def\foo{x^2} \foo + \foo$	\def\foo{x^2} \foo + \foo	$\gdef\bar#1{#1^2} \bar{y} + \bar{y}$	\gdef\bar#1{#1^2} \bar{y} + \bar{y}

特殊符号

:-	:-	:-	:-	:-	:-
$\bra{\phi}$	\bra{\phi}	$\ket{\psi}$	\ket{\psi}	$\braket{\phi\|\psi}$	`\braket{\phi\|\psi}`
$\Bra{\phi}$	\Bra{\phi}	$\Ket{\psi}$	\Ket{\psi}	$\Braket{ ϕ \| \frac{∂^2}{∂ t^2} \| ψ }$	`\Braket{ ϕ \| \frac{∂^2}{∂ t^2} \| ψ }`

数学运算符

:-	:-	:-	:-	:-	:-	:-	:-
$\arcsin$	`\arcsin`	$\cosec$	`\cosec`	$\deg$	`\deg`	$\sec$	`\sec`
$\arccos$	`\arccos`	$\cosh$	`\cosh`	$\dim$	`\dim`	$\sin$	`\sin`
$\arctan$	`\arctan`	$\cot$	`\cot`	$\exp$	`\exp`	$\sinh$	`\sinh`
$\arctg$	`\arctg`	$\cotg$	`\cotg`	$\hom$	`\hom`	$\sh$	`\sh`
$\arcctg$	`\arcctg`	$\coth$	`\coth`	$\ker$	`\ker`	$\tan$	`\tan`
$\arg$	`\arg`	$\csc$	`\csc`	$\lg$	`\lg`	$\tanh$	`\tanh`
$\ch$	`\ch`	$\ctg$	`\ctg`	$\ln$	`\ln`	$\tg$	`\tg`
$\cos$	`\cos`	$\cth$	`\cth`	$\log$	`\log`	$\th$	`\th`
$\operatorname{f}$	`\operatorname{f}`
$\argmax$	`\argmax`	$\injlim$	`\injlim`	$\min$	`\min`	$\varinjlim$	`\varinjlim`
$\argmin$	`\argmin`	$\lim$	`\lim`	$\plim$	`\plim`	$\varliminf$	`\varliminf`
$\det$	`\det`	$\liminf$	`\liminf`	$\Pr$	`\Pr`	$\varlimsup$	`\varlimsup`
$\gcd$	`\gcd`	$\limsup$	`\limsup`	$\projlim$	`\projlim`	$\varprojlim$	`\varprojlim`
$\inf$	`\inf`	$\max$	`\max`	$\sup$	`\sup`	$\operatorname*{f}$	`\operatorname*{f}`
$\operatornamewithlimits{f}$	`\operatornamewithlimits{f}`

大运算符

:-	:-	:-	:-	:-	:-	:-	:-
$\sum$	`\sum`	$\prod$	`\prod`	$\bigotimes$	`\bigotimes`	$\bigvee$	`\bigvee`
$\int$	`\int`	$\coprod$	`\coprod`	$\bigoplus$	`\bigoplus`	$\bigwedge$	`\bigwedge`
$\iint$	`\iint`	$\intop$	`\intop`	$\bigodot$	`\bigodot`	$\bigcap$	`\bigcap`
$\iiint$	`\iiint`	$\smallint$	`\smallint`	$\biguplus$	`\biguplus`	$\bigcup$	`\bigcup`
$\oint$	`\oint`	$\oiint$	`\oiint`	$\oiiint$	`\oiiint`	$\bigsqcup$	`\bigsqcup`

分数和二项式

:-	:-	:-	:-
$\frac{a}{b}$	`\frac{a}{b}`	$\tfrac{a}{b}$	`\tfrac{a}{b}`
${a \over b}$	`{a \over b}`	$\dfrac{a}{b}$	`\dfrac{a}{b}`
$\genfrac ( ] {2pt}{1}a{a+1}$	`\genfrac ( ] {2pt}{1}a{a+1}`	${a \above{2pt} b+1}$	`{a \above{2pt} b+1}`
$a/b$	`a/b`	$\cfrac{a}{1 + \cfrac{1}{b}}$	`\cfrac{a}{1 + \cfrac{1}{b}}`

:-	:-	:-	:-
$\binom{n}{k}$	`\binom{n}{k}`	$\dbinom{n}{k}$	`\dbinom{n}{k}`
${n\brace k}$	`{n\brace k}`	${n \choose k}$	`{n \choose k}`
$\tbinom{n}{k}$	`\tbinom{n}{k}`	${n\brack k}$	`{n\brack k}`

\sqrt

:-	:-	:-	:-
$\sqrt{x}$	`\sqrt{x}`	$\sqrt[3]{x}$	`\sqrt[3]{x}`

二元运算符

:-	:-	:-	:-	:-	:-	:-	:-
$+$	`+`	$\cdot$	`\cdot`	$\gtrdot$	`\gtrdot`	$x \pmod a$	`x \pmod a`
$-$	`-`	$\cdotp$	`\cdotp`	$\intercal$	`\intercal`	$x \pod a$	`x \pod a`
$/$	`/`	$\centerdot$	`\centerdot`	$\land$	`\land`	$\rhd$	`\rhd`
$*$	`*`	$\circ$	`\circ`	$\leftthreetimes$	`\leftthreetimes`	$\rightthreetimes$	`\rightthreetimes`
$\amalg$	`\amalg`	$\circledast$	`\circledast`	$\ldotp$	`\ldotp`	$\rtimes$	`\rtimes`
$\And$	`\And`	$\circledcirc$	`\circledcirc`	$\lor$	`\lor`	$\setminus$	`\setminus`
$\ast$	`\ast`	$\circleddash$	`\circleddash`	$\lessdot$	`\lessdot`	$\smallsetminus$	`\smallsetminus`
$\barwedge$	`\barwedge`	$\Cup$	`\Cup`	$\lhd$	`\lhd`	$\sqcap$	`\sqcap`
$\bigcirc$	`\bigcirc`	$\cup$	`\cup`	$\ltimes$	`\ltimes`	$\sqcup$	`\sqcup`
$\bmod$	`\bmod`	$\curlyvee$	`\curlyvee`	$x\mod a$	`x\mod a`	$\times$	`\times`
$\boxdot$	`\boxdot`	$\curlywedge$	`\curlywedge`	$\mp$	`\mp`	$\unlhd$	`\unlhd`
$\boxminus$	`\boxminus`	$\div$	`\div`	$\odot$	`\odot`	$\unrhd$	`\unrhd`
$\boxplus$	`\boxplus`	$\divideontimes$	`\divideontimes`	$\ominus$	`\ominus`	$\uplus$	`\uplus`
$\boxtimes$	`\boxtimes`	$\dotplus$	`\dotplus`	$\oplus$	`\oplus`	$\vee$	`\vee`
$\bullet$	`\bullet`	$\doublebarwedge$	`\doublebarwedge`	$\otimes$	`\otimes`	$\veebar$	`\veebar`
$\Cap$	`\Cap`	$\doublecap$	`\doublecap`	$\oslash$	`\oslash`	$\wedge$	`\wedge`
$\cap$	`\cap`	$\doublecup$	`\doublecup`	$\pm$	`\pm`	$\plusmn$	`\plusmn`
$\wr$	`\wr` `

关系

:-	:-	:-	:-	:-	:-	:-	:-
$=$	`=`	$\doteqdot$	`\doteqdot`	$\lessapprox$	`\lessapprox`	$\smile$	`\smile`
$<$	`<`	$\eqcirc$	`\eqcirc`	$\lesseqgtr$	`\lesseqgtr`	$\sqsubset$	`\sqsubset`
$>$	`>`	$\eqcolon$	`\eqcolon` 或 `\minuscolon`	$\lesseqqgtr$	`\lesseqqgtr`	$\sqsubseteq$	`\sqsubseteq`
$:$	`:`	$\Eqcolon$	`\Eqcolon` 或 `\minuscoloncolon`	$\lessgtr$	`\lessgtr`	$\sqsupset$	`\sqsupset`
$\approx$	`\approx`	$\eqqcolon$	`\eqqcolon` 或 `\equalscolon`	$\lesssim$	`\lesssim`	$\sqsupseteq$	`\sqsupseteq`
$\approxcolon$	`\approxcolon`	$\Eqqcolon$	`\Eqqcolon` 或 `\equalscoloncolon`	$\ll$	`\ll`	$\Subset$	`\Subset`
$\approxcoloncolon$	`\approxcoloncolon`	$\eqsim$	`\eqsim`	$\lll$	`\lll`	$\subset$	`\subset` 或 `\sub`
$\approxeq$	`\approxeq`	$\eqslantgtr$	`\eqslantgtr`	$\llless$	`\llless`	$\subseteq$	`\subseteq` 或 `\sube`
$\asymp$	`\asymp`	$\eqslantless$	`\eqslantless`	$\lt$	`\lt`	$\subseteqq$	`\subseteqq`
$\backepsilon$	`\backepsilon`	$\equiv$	`\equiv`	$\mid$	`\mid`	$\succ$	`\succ`
$\backsim$	`\backsim`	$\fallingdotseq$	`\fallingdotseq`	$\models$	`\models`	$\succapprox$	`\succapprox`
$\backsimeq$	`\backsimeq`	$\frown$	`\frown`	$\multimap$	`\multimap`	$\succcurlyeq$	`\succcurlyeq`
$\between$	`\between`	$\ge$	`\ge`	$\origof$	`\origof`	$\succeq$	`\succeq`
$\bowtie$	`\bowtie`	$\geq$	`\geq`	$\owns$	`\owns`	$\succsim$	`\succsim`
$\bumpeq$	`\bumpeq`	$\geqq$	`\geqq`	$\parallel$	`\parallel`	$\Supset$	`\Supset`
$\Bumpeq$	`\Bumpeq`	$\geqslant$	`\geqslant`	$\perp$	`\perp`	$\supset$	`\supset`
$\circeq$	`\circeq`	$\gg$	`\gg`	$\pitchfork$	`\pitchfork`	$\supseteq$	`\supseteq` 或 `\supe`
$\colonapprox$	`\colonapprox`	$\ggg$	`\ggg`	$\prec$	`\prec`	$\supseteqq$	`\supseteqq`
$\Colonapprox$	`\Colonapprox` 或 `\coloncolonapprox`	$\gggtr$	`\gggtr`	$\precapprox$	`\precapprox`	$\thickapprox$	`\thickapprox`
$\coloneq$	`\coloneq` 或 `\colonminus`	$\gt$	`\gt`	$\preccurlyeq$	`\preccurlyeq`	$\thicksim$	`\thicksim`
$\Coloneq$	`\Coloneq` 或 `\coloncolonminus`	$\gtrapprox$	`\gtrapprox`	$\preceq$	`\preceq`	$\trianglelefteq$	`\trianglelefteq`
$\coloneqq$	`\coloneqq` 或 `\colonequals`	$\gtreqless$	`\gtreqless`	$\precsim$	`\precsim`	$\triangleq$	`\triangleq`
$\Coloneqq$	`\Coloneqq` 或 `\coloncolonequals`	$\gtreqqless$	`\gtreqqless`	$\propto$	`\propto`	$\trianglerighteq$	`\trianglerighteq`
$\colonsim$	`\colonsim`	$\gtrless$	`\gtrless`	$\risingdotseq$	`\risingdotseq`	$\varpropto$	`\varpropto`
$\Colonsim$	`\Colonsim` 或 `\coloncolonsim`	$\gtrsim$	`\gtrsim`	$\shortmid$	`\shortmid`	$\vartriangle$	`\vartriangle`
$\cong$	`\cong`	$\imageof$	`\imageof`	$\shortparallel$	`\shortparallel`	$\vartriangleleft$	`\vartriangleleft`
$\curlyeqprec$	`\curlyeqprec`	$\in$	`\in` 或 `\isin`	$\sim$	`\sim`	$\vartriangleright$	`\vartriangleright`
$\curlyeqsucc$	`\curlyeqsucc`	$\Join$	`\Join`	$\simcolon$	`\simcolon`	$\vcentcolon$	`\vcentcolon` 或 `\ratio`
$\dashv$	`\dashv`	$\le$	`\le`	$\simcoloncolon$	`\simcoloncolon`	$\vdash$	`\vdash`
$\dblcolon$	`\dblcolon` 或 `\coloncolon`	$\leq$	`\leq`	$\simeq$	`\simeq`	$\vDash$	`\vDash`
$\doteq$	`\doteq`	$\leqq$	`\leqq`	$\smallfrown$	`\smallfrown`	$\Vdash$	`\Vdash`
$\Doteq$	`\Doteq`	$\leqslant$	`\leqslant`	$\smallsmile$	`\smallsmile`	$\Vvdash$	`\Vvdash`

否定关系

:-	:-	:-	:-	:-	:-	:-	:-
$\gnapprox$	`\gnapprox`	$\ngeqslant$	`\ngeqslant`	$\nsubseteq$	`\nsubseteq`	$\precneqq$	`\precneqq`
$\gneq$	`\gneq`	$\ngtr$	`\ngtr`	$\nsubseteqq$	`\nsubseteqq`	$\precnsim$	`\precnsim`
$\gneqq$	`\gneqq`	$\nleq$	`\nleq`	$\nsucc$	`\nsucc`	$\subsetneq$	`\subsetneq`
$\gnsim$	`\gnsim`	$\nleqq$	`\nleqq`	$\nsucceq$	`\nsucceq`	$\subsetneqq$	`\subsetneqq`
$\gvertneqq$	`\gvertneqq`	$\nleqslant$	`\nleqslant`	$\nsupseteq$	`\nsupseteq`	$\succnapprox$	`\succnapprox`
$\lnapprox$	`\lnapprox`	$\nless$	`\nless`	$\nsupseteqq$	`\nsupseteqq`	$\succneqq$	`\succneqq`
$\lneq$	`\lneq`	$\nmid$	`\nmid`	$\ntriangleleft$	`\ntriangleleft`	$\succnsim$	`\succnsim`
$\lneqq$	`\lneqq`	$\notin$	`\notin`	$\ntrianglelefteq$	`\ntrianglelefteq`	$\supsetneq$	`\supsetneq`
$\lnsim$	`\lnsim`	$\notni$	`\notni`	$\ntriangleright$	`\ntriangleright`	$\supsetneqq$	`\supsetneqq`
$\lvertneqq$	`\lvertneqq`	$\nparallel$	`\nparallel`	$\ntrianglerighteq$	`\ntrianglerighteq`	$\varsubsetneq$	`\varsubsetneq`
$\ncong$	`\ncong`	$\nprec$	`\nprec`	$\nvdash$	`\nvdash`	$\varsubsetneqq$	`\varsubsetneqq`
$\ne$	`\ne`	$\npreceq$	`\npreceq`	$\nvDash$	`\nvDash`	$\varsupsetneq$	`\varsupsetneq`
$\neq$	`\neq`	$\nshortmid$	`\nshortmid`	$\nVDash$	`\nVDash`	$\varsupsetneqq$	`\varsupsetneqq`
$\ngeq$	`\ngeq`	$\nshortparallel$	`\nshortparallel`	$\nVdash$	`\nVdash`
$\ngeqq$	`\ngeqq`	$\nsim$	`\nsim`	$\precnapprox$	`\precnapprox`

$\not =$ \not =

箭头

:-	:-	:-	:-	:-	:-
$\circlearrowleft$	`\circlearrowleft`	$\leftharpoonup$	`\leftharpoonup`	$\rArr$	`\rArr`
$\circlearrowright$	`\circlearrowright`	$\leftleftarrows$	`\leftleftarrows`	$\rarr$	`\rarr`
$\curvearrowleft$	`\curvearrowleft`	$\leftrightarrow$	`\leftrightarrow`	$\restriction$	`\restriction`
$\curvearrowright$	`\curvearrowright`	$\Leftrightarrow$	`\Leftrightarrow`	$\rightarrow$	`\rightarrow`
$\Darr$	`\Darr`	$\leftrightarrows$	`\leftrightarrows`	$\Rightarrow$	`\Rightarrow`
$\dArr$	`\dArr`	$\leftrightharpoons$	`\leftrightharpoons`	$\rightarrowtail$	`\rightarrowtail`
$\darr$	`\darr`	$\leftrightsquigarrow$	`\leftrightsquigarrow`	$\rightharpoondown$	`\rightharpoondown`
$\dashleftarrow$	`\dashleftarrow`	$\Lleftarrow$	`\Lleftarrow`	$\rightharpoonup$	`\rightharpoonup`
$\dashrightarrow$	`\dashrightarrow`	$\longleftarrow$	`\longleftarrow`	$\rightleftarrows$	`\rightleftarrows`
$\downarrow$	`\downarrow`	$\Longleftarrow$	`\Longleftarrow`	$\rightleftharpoons$	`\rightleftharpoons`
$\Downarrow$	`\Downarrow`	$\longleftrightarrow$	`\longleftrightarrow`	$\rightrightarrows$	`\rightrightarrows`
$\downdownarrows$	`\downdownarrows`	$\Longleftrightarrow$	`\Longleftrightarrow`	$\rightsquigarrow$	`\rightsquigarrow`
$\downharpoonleft$	`\downharpoonleft`	$\longmapsto$	`\longmapsto`	$\Rrightarrow$	`\Rrightarrow`
$\downharpoonright$	`\downharpoonright`	$\longrightarrow$	`\longrightarrow`	$\Rsh$	`\Rsh`
$\gets$	`\gets`	$\Longrightarrow$	`\Longrightarrow`	$\searrow$	`\searrow`
$\Harr$	`\Harr`	$\looparrowleft$	`\looparrowleft`	$\swarrow$	`\swarrow`
$\hArr$	`\hArr`	$\looparrowright$	`\looparrowright`	$\to$	`\to`
$\harr$	`\harr`	$\Lrarr$	`\Lrarr`	$\twoheadleftarrow$	`\twoheadleftarrow`
$\hookleftarrow$	`\hookleftarrow`	$\lrArr$	`\lrArr`	$\twoheadrightarrow$	`\twoheadrightarrow`
$\hookrightarrow$	`\hookrightarrow`	$\lrarr$	`\lrarr`	$\Uarr$	`\Uarr`
$\iff$	`\iff`	$\Lsh$	`\Lsh`	$\uArr$	`\uArr`
$\impliedby$	`\impliedby`	$\mapsto$	`\mapsto`	$\uarr$	`\uarr`
$\implies$	`\implies`	$\nearrow$	`\nearrow`	$\uparrow$	`\uparrow`
$\Larr$	`\Larr`	$\nleftarrow$	`\nleftarrow`	$\Uparrow$	`\Uparrow`
$\lArr$	`\lArr`	$\nLeftarrow$	`\nLeftarrow`	$\updownarrow$	`\updownarrow`
$\larr$	`\larr`	$\nleftrightarrow$	`\nleftrightarrow`	$\Updownarrow$	`\Updownarrow`
$\leadsto$	`\leadsto`	$\nLeftrightarrow$	`\nLeftrightarrow`	$\upharpoonleft$	`\upharpoonleft`
$\leftarrow$	`\leftarrow`	$\nrightarrow$	`\nrightarrow`	$\upharpoonright$	`\upharpoonright`
$\Leftarrow$	`\Leftarrow`	$\nRightarrow$	`\nRightarrow`	$\upuparrows$	`\upuparrows`
$\leftarrowtail$	`\leftarrowtail`	$\nwarrow$	`\nwarrow`
$\leftharpoondown$	`\leftharpoondown`	$\Rarr$	`\Rarr`

可扩展箭头

:-	:-	:-	:-
$\xleftarrow{abc}$	`\xleftarrow{abc}`	$\xrightarrow[under]{over}$	`\xrightarrow[under]{over}`
$\xLeftarrow{abc}$	`\xLeftarrow{abc}`	$\xRightarrow{abc}$	`\xRightarrow{abc}`
$\xleftrightarrow{abc}$	`\xleftrightarrow{abc}`	$\xLeftrightarrow{abc}$	`\xLeftrightarrow{abc}`
$\xhookleftarrow{abc}$	`\xhookleftarrow{abc}`	$\xhookrightarrow{abc}$	`\xhookrightarrow{abc}`
$\xtwoheadleftarrow{abc}$	`\xtwoheadleftarrow{abc}`	$\xtwoheadrightarrow{abc}$	`\xtwoheadrightarrow{abc}`
$\xleftharpoonup{abc}$	`\xleftharpoonup{abc}`	$\xrightharpoonup{abc}$	`\xrightharpoonup{abc}`
$\xleftharpoondown{abc}$	`\xleftharpoondown{abc}`	$\xrightharpoondown{abc}$	`\xrightharpoondown{abc}`
$\xleftrightharpoons{abc}$	`\xleftrightharpoons{abc}`	$\xrightleftharpoons{abc}$	`\xrightleftharpoons{abc}`
$\xtofrom{abc}$	`\xtofrom{abc}`	$\xmapsto{abc}$	`\xmapsto{abc}`
$\xlongequal{abc}$	`\xlongequal{abc}`

符号和标点符号

:-	:-	:-	:-	:-	:-
$% comment$	`% comment`	$\dots$	`\dots`	$\KaTeX$	`\KaTeX`
$\%$	`\%`	$\cdots$	`\cdots`	$\LaTeX$	`\LaTeX`
$\#$	`\#`	$\ddots$	`\ddots`	$\TeX$	`\TeX`
$\&$	`\&`	$\ldots$	`\ldots`	$\nabla$	`\nabla`
$\_$	`\_`	$\vdots$	`\vdots`	$\infty$	`\infty`
$\text{\textunderscore}$	`\text{\textunderscore}`	$\dotsb$	`\dotsb`	$\infin$	`\infin`
$\text{--}$	`\text{--}`	$\dotsc$	`\dotsc`	$\checkmark$	`\checkmark`
$\text{\textendash}$	`\text{\textendash}`	$\dotsi$	`\dotsi`	$\dag$	`\dag`
$\text{---}$	`\text{---}`	$\dotsm$	`\dotsm`	$\dagger$	`\dagger`
$\text{\textemdash}$	`\text{\textemdash}`	$\dotso$	`\dotso`	$\text{\textdagger}$	`\text{\textdagger}`
$\text{\textasciitilde}$	`\text{\textasciitilde}`	$\sdot$	`\sdot`	$\ddag$	`\ddag`
$\text{\textasciicircum}$	`\text{\textasciicircum}`	$\mathellipsis$	`\mathellipsis`	$\ddagger$	`\ddagger`
$`$	`	$\text{\textellipsis}$	`\text{\textellipsis}`	$\text{\textdaggerdbl}$	`\text{\textdaggerdbl}`
$\text{\textquoteleft}$	`text{\textquoteleft}`	$\Box$	`\Box`	$\Dagger$	`\Dagger`
$\lq$	`\lq`	$\square$	`\square`	$\angle$	`\angle`
$\text{\textquoteright}$	`\text{\textquoteright}`	$\blacksquare$	`\blacksquare`	$\measuredangle$	`\measuredangle`
$\rq$	`\rq`	$\triangle$	`\triangle`	$\sphericalangle$	`\sphericalangle`
$\text{\textquotedblleft}$	`\text{\textquotedblleft}`	$\triangledown$	`\triangledown`	$\top$	`\top`
$"$	`"`	$\triangleleft$	`\triangleleft`	$\bot$	`\bot`
$\text{\textquotedblright}$	`\text{\textquotedblright}`	$\triangleright$	`\triangleright`	$\$$	`\$`
$\colon$	`\colon`	$\bigtriangledown$	`\bigtriangledown`	$\text{\textdollar}$	`\text{\textdollar}`
$\backprime$	`\backprime`	$\bigtriangleup$	`\bigtriangleup`	$\pounds$	`\pounds`
$\prime$	`\prime`	$\blacktriangle$	`\blacktriangle`	$\mathsterling$	`\mathsterling`
$\text{\textless}$	`\text{\textless}`	$\blacktriangledown$	`\blacktriangledown`	$\text{\textsterling}$	`\text{\textsterling}`
$\text{\textgreater}$	`\text{\textgreater}`	$\blacktriangleleft$	`\blacktriangleleft`	$\yen$	`\yen`
$\text{\textbar}$	`\text{\textbar}`	$\blacktriangleright$	`\blacktriangleright`	$\surd$	`\surd`
$\text{\textbardbl}$	`\text{\textbardbl}`	$\diamond$	`\diamond`	$\degree$	`\degree`
$\text{\textbraceleft}$	`\text{\textbraceleft}`	$\Diamond$	`\Diamond`	$\text{\textdegree}$	`\text{\textdegree}`
$\text{\textbraceright}$	`\text{\textbraceright}`	$\lozenge$	`\lozenge`	$\mho$	`\mho`
$\text{\textbackslash}$	`\text{\textbackslash}`	$\blacklozenge$	`\blacklozenge`	$\diagdown$	`\diagdown`
$\text{\P}$	`\text{\P}` 或 `\P`	$\star$	`\star`	$\diagup$	`\diagup`
$\text{\S}$	`\text{\S}` 或 `\S`	$\bigstar$	`\bigstar`	$\flat$	`\flat`
$\text{\sect}$	`\text{\sect}`	$\clubsuit$	`\clubsuit`	$\natural$	`\natural`
$\copyright$	`\copyright`	$\clubs$	`\clubs`	$\sharp$	`\sharp`
$\circledR$	`\circledR`	$\diamondsuit$	`\diamondsuit`	$\heartsuit$	`\heartsuit`
$\text{\textregistered}$	`\text{\textregistered}`	$\diamonds$	`\diamonds`	$\hearts$	`\hearts`
$\circledS$	`\circledS`	$\spadesuit$	`\spadesuit`	$\spades$	`\spades`
$\text{\textcircled a}$	`\text{\textcircled a}`	$\maltese$	`\maltese`	$\minuso$	`\minuso`

Environments 1

\begin{matrix} a & b \\ c & d \end{matrix}

\begin{matrix}
   a & b \\
   c & d
\end{matrix}

Environments 2

\begin{array}{cc} a & b \\ c & d \end{array}

\begin{array}{cc}
   a & b \\
   c & d
\end{array}

Environments 3

\begin{pmatrix} a & b \\ c & d \end{pmatrix}

\begin{pmatrix}
   a & b \\
   c & d
\end{pmatrix}

Environments 4

\begin{bmatrix} a & b \\ c & d \end{bmatrix}

\begin{bmatrix}
   a & b \\
   c & d
\end{bmatrix}

Environments 5

\begin{vmatrix} a & b \\ c & d \end{vmatrix}

\begin{vmatrix}
   a & b \\
   c & d
\end{vmatrix}

Environments 6

\begin{Vmatrix} a & b \\ c & d \end{Vmatrix}

\begin{Vmatrix}
   a & b \\
   c & d
\end{Vmatrix}

Environments 7

\begin{Bmatrix} a & b \\ c & d \end{Bmatrix}

\begin{Bmatrix}
   a & b \\
   c & d
\end{Bmatrix}

Environments 8

\def\arraystretch{1.5} \begin{array}{c:c:c} a & b & c \\ \hline d & e & f \\ \hdashline g & h & i \end{array}

\def\arraystretch{1.5}
   \begin{array}{c:c:c}
   a & b & c \\ \hline
   d & e & f \\
   \hdashline
   g & h & i
\end{array}

Environments 9

x = \begin{cases} a &\text{if } b \\ c &\text{if } d \end{cases}

x = \begin{cases}
   a &\text{if } b \\
   c &\text{if } d
\end{cases}

Environments 10

\begin{rcases} a &\text{if } b \\ c &\text{if } d \end{rcases}⇒…

\begin{rcases}
   a &\text{if } b \\
   c &\text{if } d
\end{rcases}⇒…

Environments 11

\begin{smallmatrix} a & b \\ c & d \end{smallmatrix}

\begin{smallmatrix}
   a & b \\
   c & d
\end{smallmatrix}

Environments 12

\sum_{ \begin{subarray}{l} i\in\Lambda\\ 0<j<n \end{subarray}}

\sum_{
\begin{subarray}{l}
   i\in\Lambda\\
   0<j<n
\end{subarray}}

Environments 13

\begin{equation} \begin{split} a &=b+c\\ &=e+f \end{split} \end{equation}

\begin{equation}
\begin{split}  a &=b+c\\
      &=e+f
\end{split}
\end{equation}

Environments 14

\begin{align} a&=b+c \\ d+e&=f \end{align}

\begin{align}
   a&=b+c \\
   d+e&=f
\end{align}

Environments 15

\begin{gather} a=b \\ e=b+c \end{gather}

\begin{gather}
   a=b \\
   e=b+c
\end{gather}

Environments 16

\begin{alignat}{2} 10&x+&3&y=2\\ 3&x+&13&y=4 \end{alignat}

\begin{alignat}{2}
   10&x+&3&y=2\\
   3&x+&13&y=4
\end{alignat}

Environments 17

\begin{CD} A @>a>> B \\ @VbVV @AAcA \\ C @= D \end{CD}

\begin{CD}
   A @>a>> B \\
@VbVV @AAcA \\
   C @= D
\end{CD}

Color 颜色

:-	:-
$\color{blue} F=ma$	`\color{blue} F=ma`
$\textcolor{blue}{F=ma}$	`\textcolor{blue}{F=ma}`
$\textcolor{#228B22}{F=ma}$	`\textcolor{#228B22}{F=ma}`
$\colorbox{aqua}{$F=ma$}$	`\colorbox{aqua}{$F=ma$}`
$\fcolorbox{red}{aqua}{$F=ma$}$	`\fcolorbox{red}{aqua}{$F=ma$}`

Font 字体

:-	:-	:-	:-	:-	:-
$\Huge AB$	`\Huge AB`	$\normalsize AB$	`\normalsize AB`	$\normalsize AB$	\normalsize AB
$\huge AB$	`\huge AB`	$\huge AB$	`\huge AB`	$\small AB$	\small AB
$\LARGE AB$	`\LARGE AB`	$\LARGE AB$	`\LARGE AB`	$\footnotesize AB$	\footnotesize AB
$\Large AB$	`\Large AB`	$\Large AB$	`\Large AB`	$\scriptsize AB$	\scriptsize AB
$\large AB$	`\large AB`	$\large AB$	`\large AB`	$\tiny AB$	\tiny AB

Style 样式

:-	:-	:-	:-
$\displaystyle\sum_{i=1}^n$	\displaystyle\sum_{i=1}^n	$\textstyle\sum_{i=1}^n$	\textstyle\sum_{i=1}^n
$\scriptstyle x$	\scriptstyle x	$\scriptscriptstyle x$	\scriptscriptstyle x
$\lim\limits_x$	\lim\limits_x	$\lim\nolimits_x$	\lim\nolimits_x
$\verb!x^2!$	\verb!x^2!

入门

介绍

示例

行内展示

Supported Functions

Accents

\text｛…｝中的强调功能

Delimiter Sizing

希腊和希伯来字母 Greek and Hebrew letters

字母和 Unicode

注解

垂直布局

重叠和间距

LaTeX \LaTeX LATE​X math constructs

分隔符 Delimiters

可变大小的符号

标准函数名称

逻辑与集合论

宏指令

特殊符号

运算符

数学运算符

大运算符

分数和二项式

\sqrt

二元运算符

关系

关系

否定关系

箭头

可扩展箭头

符号和标点符号

符号和标点符号

Environments

Environments 1

Environments 2

Environments 3

Environments 4

Environments 5

Environments 6

Environments 7

Environments 8

Environments 9

Environments 10

Environments 11

Environments 12

Environments 13

Environments 14

Environments 15

Environments 16

Environments 17

样式、颜色、大小和字体

Color 颜色

Font 字体

Style 样式

另见

$\LaTeX$ math constructs