LaTeX Cheatsheet

This cheat sheet summarizes a reference list of LaTeX commonly used display math notation and some application examples of KaTeX.

All cheatsheets

Getting Started

Introduction

LaTeX A TEX-based typesetting system suitable for producing scientific, mathematical, and physical documents of high print quality.

LaTeX official website (latex-project.org)
KaTeX official website (katex.org)

And KaTeX handles only a smaller subset of LaTeX's mathematical notation for display on the web

Example

% \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

Inline

Based on KaTeX in one lineExample  
Example： `KaTeX:\int_0^\infty x^2 dx`

Example based on KaTeX showing on one line: $\int_0^\infty x^2 dx$

Supported Functions

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}`

Emphasis in \text{...}

$\'{a}$ `\'{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`

Greek and Hebrew letters

preview	method	preview	method	preview	method	preview	method	preview	method	preview	method
$\alpha$	`\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`

Other letters

$\imath$	`\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}`

Alphabets and Unicode

preview	method	preview	method	preview	method	preview	method
$\Alpha$	`\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`

Annotation

$\cancel{5}$	`\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 syntax conflict	`$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}

Vertical layout

$x_n$	`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}}`

Overlap and Spacing

${=}\mathllap{/\,}$ {=}\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

Preview	Method	Preview	Method	Preview	Method
$\frac{abc}{xyz}$	`\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}`

Delimiters

preview	method	preview	method	preview	method	preview	method	preview	method
$()$	`()`	$\lparen \rparen$	`\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 syntax conflict)	\\|	$\Vert$	`\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`

The pair of expressions \left $s_1$ and \right $s_2$ can be used to match the height of the separators $s_1$ and $s_2$ to the height of their content, e.g. :

Preview	Source
$\left\lvert \frac{a}{b} \right\rvert$	`\left\lvert \frac{a}{b} \right\rvert`
$\left\{ \frac{a}{b} \right\}$	`\left\{ \frac{a}{b} \right\}`
$\left\Vert \frac{a}{b} \right.$	`\left\Vert \frac{a}{b} \right.`

Variable Size Symbols

preview	method	preview	method	preview	method	preview	method	preview	method
$\sum$	`\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`

standard function name

preview	method	preview	method	preview	method	preview	method
$\arccos$	`\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`

Function names should be in roman font, not italics, for example:

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

Logic and Set Theory

$\forall$	`\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` or `\lnot`

\Set{ x | x<\frac 1 2 }

\Set{ x | x<\frac 1 2 }

\set{x|x<5}

\set{x|x<5}

special symbols

$\bra{\phi}$	\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 }`

Operator

Mathematical operator

$\arcsin$	`\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}`

Big operator

$\sum$	`\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`

Fractions and binomials

$\frac{a}{b}$	`\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}

Binary operator

$+$	`+`	$\cdot$	`\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``

Relation

$=$	`=`	$\doteqdot$	`\doteqdot`	$\lessapprox$	`\lessapprox`	$\smile$	`\smile`
$<$	`<`	$\eqcirc$	`\eqcirc`	$\lesseqgtr$	`\lesseqgtr`	$\sqsubset$	`\sqsubset`
$>$	`>`	$\eqcolon$	`\eqcolon` or `\minuscolon`	$\lesseqqgtr$	`\lesseqqgtr`	$\sqsubseteq$	`\sqsubseteq`
$:$	`:`	$\Eqcolon$	`\Eqcolon` or `\minuscoloncolon`	$\lessgtr$	`\lessgtr`	$\sqsupset$	`\sqsupset`
$\approx$	`\approx`	$\eqqcolon$	`\eqqcolon` or `\equalscolon`	$\lesssim$	`\lesssim`	$\sqsupseteq$	`\sqsupseteq`
$\approxcolon$	`\approxcolon`	$\Eqqcolon$	`\Eqqcolon` or `\equalscoloncolon`	$\ll$	`\ll`	$\Subset$	`\Subset`
$\approxcoloncolon$	`\approxcoloncolon`	$\eqsim$	`\eqsim`	$\lll$	`\lll`	$\subset$	`\subset` or `\sub`
$\approxeq$	`\approxeq`	$\eqslantgtr$	`\eqslantgtr`	$\llless$	`\llless`	$\subseteq$	`\subseteq` or `\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` or `\supe`
$\colonapprox$	`\colonapprox`	$\ggg$	`\ggg`	$\prec$	`\prec`	$\supseteqq$	`\supseteqq`
$\Colonapprox$	`\Colonapprox` or `\coloncolonapprox`	$\gggtr$	`\gggtr`	$\precapprox$	`\precapprox`	$\thickapprox$	`\thickapprox`
$\coloneq$	`\coloneq` or `\colonminus`	$\gt$	`\gt`	$\preccurlyeq$	`\preccurlyeq`	$\thicksim$	`\thicksim`
$\Coloneq$	`\Coloneq` or `\coloncolonminus`	$\gtrapprox$	`\gtrapprox`	$\preceq$	`\preceq`	$\trianglelefteq$	`\trianglelefteq`
$\coloneqq$	`\coloneqq` or `\colonequals`	$\gtreqless$	`\gtreqless`	$\precsim$	`\precsim`	$\triangleq$	`\triangleq`
$\Coloneqq$	`\Coloneqq` or `\coloncolonequals`	$\gtreqqless$	`\gtreqqless`	$\propto$	`\propto`	$\trianglerighteq$	`\trianglerighteq`
$\colonsim$	`\colonsim`	$\gtrless$	`\gtrless`	$\risingdotseq$	`\risingdotseq`	$\varpropto$	`\varpropto`
$\Colonsim$	`\Colonsim` or `\coloncolonsim`	$\gtrsim$	`\gtrsim`	$\shortmid$	`\shortmid`	$\vartriangle$	`\vartriangle`
$\cong$	`\cong`	$\imageof$	`\imageof`	$\shortparallel$	`\shortparallel`	$\vartriangleleft$	`\vartriangleleft`
$\curlyeqprec$	`\curlyeqprec`	$\in$	`\in` or `\isin`	$\sim$	`\sim`	$\vartriangleright$	`\vartriangleright`
$\curlyeqsucc$	`\curlyeqsucc`	$\Join$	`\Join`	$\simcolon$	`\simcolon`	$\vcentcolon$	`\vcentcolon` or `\ratio`
$\dashv$	`\dashv`	$\le$	`\le`	$\simcoloncolon$	`\simcoloncolon`	$\vdash$	`\vdash`
$\dblcolon$	`\dblcolon` or `\coloncolon`	$\leq$	`\leq`	$\simeq$	`\simeq`	$\vDash$	`\vDash`
$\doteq$	`\doteq`	$\leqq$	`\leqq`	$\smallfrown$	`\smallfrown`	$\Vdash$	`\Vdash`
$\Doteq$	`\Doteq`	$\leqslant$	`\leqslant`	$\smallsmile$	`\smallsmile`	$\Vvdash$	`\Vvdash`

Negative relationship

$\gnapprox$	`\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 =

Arrow

$\circlearrowleft$	`\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`

Extensible arrows

$\xleftarrow{abc}$	`\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}`

Symbols and Punctuation

$% comment$	`% 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`
KaTeX:`	`	$\text{\textellipsis}$	`\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}` or `\P`	$\star$	`\star`	$\diagup$	`\diagup`
$\text{\S}$	`\text{\S}` or `\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

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}

Lists

Unordered List

\begin{itemize}
   \item item1
   \item item2
   \item item3
\end{itemize}

Ordered List

\begin{enumerate}
   \item item1
   \item item2
   \item item3
\begin{enumerate}

Style, Color, Size and Font

Color

$\color{blue} F=ma$	`\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

$\Huge AB$	`\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

$\displaystyle\sum_{i=1}^n$	\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!

Also See

LaTeX official website (latex-project.org)
KaTeX official website (katex.org)
symbols.pdf (cmor-faculty.rice.edu)

Adapted from Fechin/reference GPL-3.0 license Markdown source Changes and attribution

Getting Started

Introduction

Example

Inline

Supported Functions

Accents

Emphasis in \text{...}

Delimiter Sizing

Greek and Hebrew letters

Other letters

Alphabets and Unicode

Annotation

Vertical layout

Overlap and Spacing

LaTeX\LaTeXLATE​X math constructs

Delimiters

Variable Size Symbols

standard function name

Function names should be in roman font, not italics, for example:

Logic and Set Theory

special symbols

Operator

Mathematical operator

Big operator

Fractions and binomials

\sqrt

Binary operator

Relation

Relation

Negative relationship

Arrow

Extensible arrows

Symbols and Punctuation

Symbols and Punctuation

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

Lists

Unordered List

Ordered List

Style, Color, Size and Font

Color

Font

Style

Also See

$\LaTeX$ math constructs