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。
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
1 2 3 4
| % \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
|
1 2 3 4
| 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} |
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KaTeX:\^{a} \^{a} |
KaTeX:\u{a} \u{a} |
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KaTeX:\r{a} \r{a} |
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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 |
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|
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} |
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|
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} |
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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 |
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|
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 |
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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 |
$a_{\angl n} |
KaTex:a_\angln |
a_\angln |
|
KaTex:\phase{-78^\circ} |
\phase{-78^\circ} |
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\tag{hi} x+y^{2x}
\tag*{hi} x+y^{2x}
垂直布局
:- |
:- |
:- |
:- |
:- |
:- |
KaTex:x_n |
x_n |
KaTex:\stackrel{!}{=} |
\stackrel{!}{=} |
KaTex:a \atop b |
a \atop b |
KaTex:e^x |
e^x |
KaTex:\overset{!}{=} |
\overset{!}{=} |
KaTex:a\raisebox{0.25em}{$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}} |
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|
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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 |
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