LaTeX 备忘清单 | 竹山一叶

本备忘单总结了 LaTeX 常用显示数学符号的参考列表和一些 KaTeX 的应用示例。

入门

介绍

LaTeX 基于 TEX 的排版系统，适用于生成高印刷质量的科技和数学、物理文档。

LaTeX 官网 (latex-project.org)
KaTeX 官网 (katex.org)

而 KaTeX 只处理 LaTeX 的数学符号的一个更小的子集，用于 web 上展示

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

1 2	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： KaTeX:\int_0^\infty x^2 dx

Supported Functions

Accents

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

\text｛…｝中的强调功能

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

Delimiter Sizing

:-	:-
`KaTeX:\left(\LARGE{AB}\right)`	`\left(\LARGE{AB}\right)`
`KaTeX:( \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
`KaTex:\alpha`	`\alpha`	`KaTex:\kappa`	`\kappa`	`KaTex:\psi`	`\psi`	`KaTex:\digamma`	`\digamma`	`KaTex:\Delta`	`\Delta`	`KaTex:\Theta`	`\Theta`
`KaTex:\beta`	`\beta`	`KaTex:\lambda`	`\lambda`	`KaTex:\rho`	`\rho`	`KaTex:\varepsilon`	`\varepsilon`	`KaTex:\Gamma`	`\Gamma`	`KaTex:\Upsilon`	`\Upsilon`
`KaTex:\chi`	`\chi`	`KaTex:\mu`	`\mu`	`KaTex:\sigma`	`\sigma`	`KaTex:\varkappa`	`\varkappa`	`KaTex:\Lambda`	`\Lambda`	`KaTex:\Xi`	`\Xi`
`KaTex:\delta`	`\delta`	`KaTex:\nu`	`\nu`	`KaTex:\tau`	`\tau`	`KaTex:\varphi`	`\varphi`	`KaTex:\Omega`	`\Omega`
`KaTex:\epsilon`	`\epsilon`	`KaTex:o`	`o`	`KaTex:\theta`	`\theta`	`KaTex:\varpi`	`\varpi`	`KaTex:\Phi`	`\Phi`	`KaTex:\aleph`	`\aleph`
`KaTex:\eta`	`\eta`	`KaTex:\omega`	`\omega`	`KaTex:\upsilon`	`\upsilon`	`KaTex:\varrho`	`\varrho`	`KaTex:\Pi`	`\Pi`	`KaTex:\beth`	`\beth`
`KaTex:\gamma`	`\gamma`	`KaTex:\phi`	`\phi`	`KaTex:\xi`	`\xi`	`KaTex:\varsigma`	`\varsigma`	`KaTex:\Psi`	`\Psi`	`KaTex:\daleth`	`\daleth`
`KaTex:\iota`	`\iota`	`KaTex:\pi`	`\pi`	`KaTex:\zeta`	`\zeta`	`KaTex:\vartheta`	`\vartheta`	`KaTex:\Sigma`	`\Sigma`	`KaTex:\gimel`	`\gimel`

其它字母

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

字母和 Unicode

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

注解

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

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

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

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

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

垂直布局

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

重叠和间距

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

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

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

`KaTex:\LaTeX` math constructs

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

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

:-	:-	:-	:-	:-	:-	:-	:-	:-	:-	:-
`KaTeX:\left\|`	`KaTeX:expr`	`KaTeX:\right\|`		`KaTeX:\left\{`	`KaTeX:expr`	`KaTeX:\right\}`		`KaTeX:\left\Vert`	`KaTeX:expr`	`KaTeX:\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
`KaTeX:\sum`	`\sum`	`KaTeX:\int`	`\int`	`KaTeX:\biguplus`	`\biguplus`	`KaTeX:\bigoplus`	`\bigoplus`	`KaTeX:\bigvee`	`\bigvee`
`KaTeX:\prod`	`\prod`	`KaTeX:\oint`	`\oint`	`KaTeX:\bigcap`	`\bigcap`	`KaTeX:\bigotimes`	`\bigotimes`	`KaTeX:\bigwedge`	`\bigwedge`
`KaTeX:\coprod`	`\coprod`	`KaTeX:\iint`	`\iint`	`KaTeX:\bigcup`	`\bigcup`	`KaTeX:\bigodot`	`\bigodot`	`KaTeX:\bigodot`	`\bigodot`

标准函数名称

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

函数名应该用罗马字体，而不是斜体，例如:

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

逻辑与集合论

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

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

宏指令

:-	:-	:-	:-
`KaTeX:\def\foo{x^2} \foo + \foo`	\def\foo{x^2} \foo + \foo	`KaTeX:\gdef\bar#1

入门

介绍

示例