codeboom.io

LaTeX CHEAT SHEET

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

9
Sections
49
Cards

#Getting Started

Introduction

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

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: 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}
Emphasis in \text{...}
:-:-
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
Greek and Hebrew letters
previewmethodpreviewmethodpreviewmethodpreviewmethodpreviewmethodpreviewmethod
KaTeX:\alpha\alphaKaTeX:\kappa\kappaKaTeX:\psi\psiKaTeX:\digamma\digammaKaTeX:\Delta\DeltaKaTeX:\Theta\Theta
KaTeX:\beta\betaKaTeX:\lambda\lambdaKaTeX:\rho\rhoKaTeX:\varepsilon\varepsilonKaTeX:\Gamma\GammaKaTeX:\Upsilon\Upsilon
KaTeX:\chi\chiKaTeX:\mu\muKaTeX:\sigma\sigmaKaTeX:\varkappa\varkappaKaTeX:\Lambda\LambdaKaTeX:\Xi\Xi
KaTeX:\delta\deltaKaTeX:\nu\nuKaTeX:\tau\tauKaTeX:\varphi\varphiKaTeX:\Omega\Omega
KaTeX:\epsilon\epsilonKaTeX:ooKaTeX:\theta\thetaKaTeX:\varpi\varpiKaTeX:\Phi\PhiKaTeX:\aleph\aleph
KaTeX:\eta\etaKaTeX:\omega\omegaKaTeX:\upsilon\upsilonKaTeX:\varrho\varrhoKaTeX:\Pi\PiKaTeX:\beth\beth
KaTeX:\gamma\gammaKaTeX:\phi\phiKaTeX:\xi\xiKaTeX:\varsigma\varsigmaKaTeX:\Psi\PsiKaTeX:\daleth\daleth
KaTeX:\iota\iotaKaTeX:\pi\piKaTeX:\zeta\zetaKaTeX:\vartheta\varthetaKaTeX:\Sigma\SigmaKaTeX:\gimel\gimel

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Other letters

:-:-:-:-:-:-:-:-:-:-
KaTeX:\imath\imathKaTeX:\nabla\nablaKaTeX:\Im\ImKaTeX:\Reals\RealsKaTeX:\text{\OE}\text{\OE}
KaTeX:\jmath\jmathKaTeX:\partial\partialKaTeX:\image\imageKaTeX:\wp\wpKaTeX:\text{\o}\text{\o}
KaTeX:\aleph\alephKaTeX:\Game\GameKaTeX:\Bbbk\BbbkKaTeX:\weierp\weierpKaTeX:\text{\O}\text{\O}
KaTeX:\alef\alefKaTeX:\Finv\FinvKaTeX:\N\NKaTeX:\Z\ZKaTeX:\text{\ss}\text{\ss}
KaTeX:\alefsym\alefsymKaTeX:\cnums\cnumsKaTeX:\natnums\natnumsKaTeX:\text{\aa}\text{\aa}KaTeX:\text{\i}\text{\i}
KaTeX:\beth\bethKaTeX:\Complex\ComplexKaTeX:\R\RKaTeX:\text{\AA}\text{\AA}KaTeX:\text{\j}\text{\j}
KaTeX:\gimel\gimelKaTeX:\ell\ellKaTeX:\Re\ReKaTeX:\text{\ae}\text{\ae}
KaTeX:\daleth\dalethKaTeX:\hbar\hbarKaTeX:\real\realKaTeX:\text{\AE}\text{\AE}
KaTeX:\eth\ethKaTeX:\hslash\hslashKaTeX:\reals\realsKaTeX:\text{\oe}\text{\oe}

{.left-align}

Alphabets and Unicode
previewmethodpreviewmethodpreviewmethodpreviewmethod
KaTeX:\Alpha\AlphaKaTeX:\Beta\BetaKaTeX:\Gamma\GammaKaTeX:\Delta\Delta
KaTeX:\Epsilon\EpsilonKaTeX:\Zeta\ZetaKaTeX:\Eta\EtaKaTeX:\Theta\Theta
KaTeX:\Iota\IotaKaTeX:\Kappa\KappaKaTeX:\Lambda\LambdaKaTeX:\Mu\Mu
KaTeX:\Nu\NuKaTeX:\Xi\XiKaTeX:\Omicron\OmicronKaTeX:\Pi\Pi
KaTeX:\Rho\RhoKaTeX:\Sigma\SigmaKaTeX:\Tau\TauKaTeX:\Upsilon\Upsilon
KaTeX:\Phi\PhiKaTeX:\Chi\ChiKaTeX:\Psi\PsiKaTeX:\Omega\Omega
KaTeX:\varGamma\varGammaKaTeX:\varDelta\varDeltaKaTeX:\varTheta\varThetaKaTeX:\varLambda\varLambda
KaTeX:\varXi\varXiKaTeX:\varPi\varPiKaTeX:\varSigma\varSigmaKaTeX:\varUpsilon\varUpsilon
KaTeX:\varPhi\varPhiKaTeX:\varPsi\varPsiKaTeX:\varOmega\varOmega
KaTeX:\alpha\alphaKaTeX:\beta\betaKaTeX:\gamma\gammaKaTeX:\delta\delta
KaTeX:\epsilon\epsilonKaTeX:\zeta\zetaKaTeX:\eta\etaKaTeX:\theta\theta
KaTeX:\iota\iotaKaTeX:\kappa\kappaKaTeX:\lambda\lambdaKaTeX:\mu\mu
KaTeX:\nu\nuKaTeX:\xi\xiKaTeX:\omicron\omicronKaTeX:\pi\pi
KaTeX:\rho\rhoKaTeX:\sigma\sigmaKaTeX:\tau\tauKaTeX:\upsilon\upsilon
KaTeX:\phi\phiKaTeX:\chi\chiKaTeX:\psi\psiKaTeX:\omega\omega
KaTeX:\varepsilon\varepsilonKaTeX:\varkappa\varkappaKaTeX:\vartheta\varthetaKaTeX:\thetasym\thetasym
KaTeX:\varpi\varpiKaTeX:\varrho\varrhoKaTeX:\varsigma\varsigmaKaTeX:\varphi\varphi
KaTeX:\digamma\digamma

{.show-header left-align}

Annotation
:-:-:-:-
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 syntax conflict$a_{\angl n}KaTeX:a_\anglna_\angln
KaTeX:\phase{-78^\circ}\phase{-78^\circ}
\tag{hi} x+y^{2x} 
\tag{hi} x+y^{2x}
\tag*{hi} x+y^{2x} 
\tag*{hi} x+y^{2x}
Vertical layout
:-:-:-:-:-:-
KaTeX:x_nx_nKaTeX:\stackrel{!}{=}\stackrel{!}{=}KaTeX:a \atop ba \atop b
KaTeX:e^xe^xKaTeX:\overset{!}{=}\overset{!}{=}KaTeX:a\raisebox{0.25em}{$b$}ca\raisebox{0.25em}{$b$}c
KaTeX:_u^o_u^oKaTeX:\underset{!}{=}\underset{!}{=}KaTeX:a+\left(\vcenter{\hbox{$\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}}
Overlap and Spacing
`KaTeX:\LaTeX` math constructs
PreviewMethodPreviewMethodPreviewMethod
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}
Delimiters
previewmethodpreviewmethodpreviewmethodpreviewmethodpreviewmethod
KaTeX:()()KaTeX:\lparen \rparen\lparen \rparenKaTeX:⌈ ⌉⌈ ⌉KaTeX:\lceil \rceil\lceil \rceilKaTeX:\uparrow\uparrow
KaTeX:[][]KaTeX:\lbrack \rbrack\lbrack \rbrackKaTeX:⌊ ⌋⌊ ⌋KaTeX:\lfloor \rfloor\lfloor \rfloorKaTeX:\downarrow\downarrow
KaTeX:\{ \}{}KaTeX:\lbrace \rbrace\lbrace \rbraceKaTeX:⎰⎱⎰⎱KaTeX:\lmoustache \rmoustache\lmoustache \rmoustacheKaTeX:\updownarrow\updownarrow
KaTeX:⟨ ⟩⟨⟩KaTeX:\langle \rangle\langle \rangleKaTeX:⟮ ⟯⟮ ⟯KaTeX:\lgroup \rgroup\lgroup \rgroupKaTeX:\Uparrow\Uparrow
KaTeX:∣|KaTeX:\vert\vertKaTeX:┌ ┐┌ ┐KaTeX:\ulcorner \urcorner\ulcorner \urcornerKaTeX:\Downarrow\Downarrow
KaTeX:| (MD syntax conflict)\|KaTeX:\Vert\VertKaTeX:└ ┘└ ┘KaTeX:\llcorner \lrcorner\llcorner \lrcornerKaTeX:\Updownarrow\Updownarrow
KaTeX:∣ ∣\lvert \rvertKaTeX:\lVert \rVert\lVert \rVert\left.\right.KaTeX:\backslash\backslash
KaTeX:\lang KaTeX:\rang\lang \rangKaTeX:\lt \gt\lt \gtKaTeX:⟦ ⟧⟦ ⟧KaTeX:\llbracket \rrbracket\llbracket \rrbracketKaTeX:\lBrace \rBrace\lBrace \rBrace

{.show-header left-align}

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

:-:-:-:-:-:-:-:-:-
KaTeX:\left|KaTeX:exprKaTeX:\right|KaTeX:\left\{KaTeX:exprKaTeX:\right\}KaTeX:\left\VertKaTeX:exprKaTeX:\right.
Variable Size Symbols
previewmethodpreviewmethodpreviewmethodpreviewmethodpreviewmethod
KaTeX:\sum\sumKaTeX:\int\intKaTeX:\biguplus\biguplusKaTeX:\bigoplus\bigoplusKaTeX:\bigvee\bigvee
KaTeX:\prod\prodKaTeX:\oint\ointKaTeX:\bigcap\bigcapKaTeX:\bigotimes\bigotimesKaTeX:\bigwedge\bigwedge
KaTeX:\coprod\coprodKaTeX:\iint\iintKaTeX:\bigcup\bigcupKaTeX:\bigodot\bigodotKaTeX:\bigodot\bigodot

{.show-header left-align}

standard function name
previewmethodpreviewmethodpreviewmethodpreviewmethod
KaTeX:\arccos\arccosKaTeX:\arcsin\arcsinKaTeX:\arcsin\arcsinKaTeX:\arg\arg
KaTeX:\cos\cosKaTeX:\cosh\coshKaTeX:\cot\cotKaTeX:\coth\coth
KaTeX:\csc\cscKaTeX:\deg\degKaTeX:\det\detKaTeX:\dim\dim
KaTeX:\exp\expKaTeX:\gcd\gcdKaTeX:\hom\homKaTeX:\inf\inf
KaTeX:\ker\kerKaTeX:\lg\lgKaTeX:\lim\limKaTeX:\liminf\liminf
KaTeX:\limsup\limsupKaTeX:\ln\lnKaTeX:\log\logKaTeX:\max\max
KaTeX:\min\minKaTeX:\Pr\PrKaTeX:\sec\secKaTeX:\sin\sin
KaTeX:\sinh\sinhKaTeX:\sup\supKaTeX:\tan\tanKaTeX:\tanh\tanh

{.show-header left-align}

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

:-:-:-:-
Correct:\tan(at-n\pi)KaTeX:\rightarrowKaTeX:\tan(at-n\pi)
Incorrect:tan(at-n\pi)KaTeX:\rightarrowKaTeX:tan(at-n\pi)

{.left-align}

Logic and Set Theory
:-:-:-:-:-:-:-:-
KaTeX:\forall\forallKaTeX:\complement\complementKaTeX:\therefore\thereforeKaTeX:\emptyset\emptyset
KaTeX:\exists\existsKaTeX:\subset\subsetKaTeX:\because\becauseKaTeX:\empty\empty
KaTeX:\exist\existKaTeX:\supset\supsetKaTeX:\mapsto\mapstoKaTeX:\varnothing\varnothing
KaTeX:\nexists\nexistsKaTeX:\mid\midKaTeX:\to\toKaTeX:\implies\implies
KaTeX:\in\inKaTeX:\land\landKaTeX:\gets\getsKaTeX:\impliedby\impliedby
KaTeX:\isin\isinKaTeX:\lor\lorKaTeX:\leftrightarrow\leftrightarrowKaTeX:\iff\iff
KaTeX:\notin\notinKaTeX:\ni\niKaTeX:\notni\notniKaTeX:\neg KaTeX:\lnot\neg or \lnot

{.left-align}

:-:-:-:-
KaTeX:\Set{ x | x<\frac 1 2 }\Set{ x | x<\frac 1 2 }KaTeX:\set{x|x<5}\set{x|x<5}
special symbols
:-:-:-:-:-:-
KaTeX:\bra{\phi}\bra{\phi}KaTeX:\ket{\psi}\ket{\psi}KaTeX:\braket{\phi|\psi}\braket{\phi|\psi}
KaTeX:\Bra{\phi}\Bra{\phi}KaTeX:\Ket{\psi}\Ket{\psi}KaTeX:\Braket{ ϕ | \frac{∂^2}{∂ t^2} | ψ }\Braket{ ϕ | \frac{∂^2}{∂ t^2} | ψ }

{.left-align}

#Operator

Mathematical operator
:-:-:-:-:-:-:-:-
KaTeX:\arcsin\arcsinKaTeX:\cosec\cosecKaTeX:\deg\degKaTeX:\sec\sec
KaTeX:\arccos\arccosKaTeX:\cosh\coshKaTeX:\dim\dimKaTeX:\sin\sin
KaTeX:\arctan\arctanKaTeX:\cot\cotKaTeX:\exp\expKaTeX:\sinh\sinh
KaTeX:\arctg\arctgKaTeX:\cotg\cotgKaTeX:\hom\homKaTeX:\sh\sh
KaTeX:\arcctg\arcctgKaTeX:\coth\cothKaTeX:\ker\kerKaTeX:\tan\tan
KaTeX:\arg\argKaTeX:\csc\cscKaTeX:\lg\lgKaTeX:\tanh\tanh
KaTeX:\ch\chKaTeX:\ctg\ctgKaTeX:\ln\lnKaTeX:\tg\tg
KaTeX:\cos\cosKaTeX:\cth\cthKaTeX:\log\logKaTeX:\th\th
KaTeX:\operatorname{f}\operatorname{f}
KaTeX:\argmax\argmaxKaTeX:\injlim\injlimKaTeX:\min\minKaTeX:\varinjlim\varinjlim
KaTeX:\argmin\argminKaTeX:\lim\limKaTeX:\plim\plimKaTeX:\varliminf\varliminf
KaTeX:\det\detKaTeX:\liminf\liminfKaTeX:\Pr\PrKaTeX:\varlimsup\varlimsup
KaTeX:\gcd\gcdKaTeX:\limsup\limsupKaTeX:\projlim\projlimKaTeX:\varprojlim\varprojlim
KaTeX:\inf\infKaTeX:\max\maxKaTeX:\sup\supKaTeX:\operatorname*{f}\operatorname*{f}
KaTeX:\operatornamewithlimits{f}\operatornamewithlimits{f}

{.left-align}

Big operator
:-:-:-:-:-:-:-:-
KaTeX:\sum\sumKaTeX:\prod\prodKaTeX:\bigotimes\bigotimesKaTeX:\bigvee\bigvee
KaTeX:\int\intKaTeX:\coprod\coprodKaTeX:\bigoplus\bigoplusKaTeX:\bigwedge\bigwedge
KaTeX:\iint\iintKaTeX:\intop\intopKaTeX:\bigodot\bigodotKaTeX:\bigcap\bigcap
KaTeX:\iiint\iiintKaTeX:\smallint\smallintKaTeX:\biguplus\biguplusKaTeX:\bigcup\bigcup
KaTeX:\oint\ointKaTeX:\oiint\oiintKaTeX:\oiiint\oiiintKaTeX:\bigsqcup\bigsqcup

{.left-align}

Fractions and binomials
:-:-:-:-
KaTeX:\frac{a}{b}\frac{a}{b}KaTeX:\tfrac{a}{b}\tfrac{a}{b}
KaTeX:{a \over b}{a \over b}KaTeX:\dfrac{a}{b}\dfrac{a}{b}
KaTeX:\genfrac ( ] {2pt}{1}a{a+1}\genfrac ( ] {2pt}{1}a{a+1}KaTeX:{a \above{2pt} b+1}{a \above{2pt} b+1}
KaTeX:a/ba/bKaTeX:\cfrac{a}{1 + \cfrac{1}{b}}\cfrac{a}{1 + \cfrac{1}{b}}

{.left-align}

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

{.left-align}

\sqrt
:-:-:-:-
KaTeX:\sqrt{x}\sqrt{x}KaTeX:\sqrt[3]{x}\sqrt[3]{x}

{.left-align}

Binary operator
:-:-:-:-:-:-:-:-
KaTeX:++KaTeX:\cdot\cdotKaTeX:\gtrdot\gtrdotKaTeX:x \pmod ax \pmod a
KaTeX:--KaTeX:\cdotp\cdotpKaTeX:\intercal\intercalKaTeX:x \pod ax \pod a
KaTeX://KaTeX:\centerdot\centerdotKaTeX:\land\landKaTeX:\rhd\rhd
KaTeX:**KaTeX:\circ\circKaTeX:\leftthreetimes\leftthreetimesKaTeX:\rightthreetimes\rightthreetimes
KaTeX:\amalg\amalgKaTeX:\circledast\circledastKaTeX:\ldotp\ldotpKaTeX:\rtimes\rtimes
KaTeX:\And\AndKaTeX:\circledcirc\circledcircKaTeX:\lor\lorKaTeX:\setminus\setminus
KaTeX:\ast\astKaTeX:\circleddash\circleddashKaTeX:\lessdot\lessdotKaTeX:\smallsetminus\smallsetminus
KaTeX:\barwedge\barwedgeKaTeX:\Cup\CupKaTeX:\lhd\lhdKaTeX:\sqcap\sqcap
KaTeX:\bigcirc\bigcircKaTeX:\cup\cupKaTeX:\ltimes\ltimesKaTeX:\sqcup\sqcup
KaTeX:\bmod\bmodKaTeX:\curlyvee\curlyveeKaTeX:x\mod ax\mod aKaTeX:\times\times
KaTeX:\boxdot\boxdotKaTeX:\curlywedge\curlywedgeKaTeX:\mp\mpKaTeX:\unlhd\unlhd
KaTeX:\boxminus\boxminusKaTeX:\div\divKaTeX:\odot\odotKaTeX:\unrhd\unrhd
KaTeX:\boxplus\boxplusKaTeX:\divideontimes\divideontimesKaTeX:\ominus\ominusKaTeX:\uplus\uplus
KaTeX:\boxtimes\boxtimesKaTeX:\dotplus\dotplusKaTeX:\oplus\oplusKaTeX:\vee\vee
KaTeX:\bullet\bulletKaTeX:\doublebarwedge\doublebarwedgeKaTeX:\otimes\otimesKaTeX:\veebar\veebar
KaTeX:\Cap\CapKaTeX:\doublecap\doublecapKaTeX:\oslash\oslashKaTeX:\wedge\wedge
KaTeX:\cap\capKaTeX:\doublecup\doublecupKaTeX:\pm\pmKaTeX:\plusmn\plusmn
KaTeX:\wr\wr`

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#Relation

Relation
:-:-:-:-:-:-:-:-
KaTeX:==KaTeX:\doteqdot\doteqdotKaTeX:\lessapprox\lessapproxKaTeX:\smile\smile
KaTeX:<<KaTeX:\eqcirc\eqcircKaTeX:\lesseqgtr\lesseqgtrKaTeX:\sqsubset\sqsubset
KaTeX:>>KaTeX:\eqcolon\eqcolon or \minuscolonKaTeX:\lesseqqgtr\lesseqqgtrKaTeX:\sqsubseteq\sqsubseteq
KaTeX:::KaTeX:\Eqcolon\Eqcolon or \minuscoloncolonKaTeX:\lessgtr\lessgtrKaTeX:\sqsupset\sqsupset
KaTeX:\approx\approxKaTeX:\eqqcolon\eqqcolon or \equalscolonKaTeX:\lesssim\lesssimKaTeX:\sqsupseteq\sqsupseteq
KaTeX:\approxcolon\approxcolonKaTeX:\Eqqcolon\Eqqcolon or \equalscoloncolonKaTeX:\ll\llKaTeX:\Subset\Subset
KaTeX:\approxcoloncolon\approxcoloncolonKaTeX:\eqsim\eqsimKaTeX:\lll\lllKaTeX:\subset\subset or \sub
KaTeX:\approxeq\approxeqKaTeX:\eqslantgtr\eqslantgtrKaTeX:\llless\lllessKaTeX:\subseteq\subseteq or \sube
KaTeX:\asymp\asympKaTeX:\eqslantless\eqslantlessKaTeX:\lt\ltKaTeX:\subseteqq\subseteqq
KaTeX:\backepsilon\backepsilonKaTeX:\equiv\equivKaTeX:\mid\midKaTeX:\succ\succ
KaTeX:\backsim\backsimKaTeX:\fallingdotseq\fallingdotseqKaTeX:\models\modelsKaTeX:\succapprox\succapprox
KaTeX:\backsimeq\backsimeqKaTeX:\frown\frownKaTeX:\multimap\multimapKaTeX:\succcurlyeq\succcurlyeq
KaTeX:\between\betweenKaTeX:\ge\geKaTeX:\origof\origofKaTeX:\succeq\succeq
KaTeX:\bowtie\bowtieKaTeX:\geq\geqKaTeX:\owns\ownsKaTeX:\succsim\succsim
KaTeX:\bumpeq\bumpeqKaTeX:\geqq\geqqKaTeX:\parallel\parallelKaTeX:\Supset\Supset
KaTeX:\Bumpeq\BumpeqKaTeX:\geqslant\geqslantKaTeX:\perp\perpKaTeX:\supset\supset
KaTeX:\circeq\circeqKaTeX:\gg\ggKaTeX:\pitchfork\pitchforkKaTeX:\supseteq\supseteq or \supe
KaTeX:\colonapprox\colonapproxKaTeX:\ggg\gggKaTeX:\prec\precKaTeX:\supseteqq\supseteqq
KaTeX:\Colonapprox\Colonapprox or \coloncolonapproxKaTeX:\gggtr\gggtrKaTeX:\precapprox\precapproxKaTeX:\thickapprox\thickapprox
KaTeX:\coloneq\coloneq or \colonminusKaTeX:\gt\gtKaTeX:\preccurlyeq\preccurlyeqKaTeX:\thicksim\thicksim
KaTeX:\Coloneq\Coloneq or \coloncolonminusKaTeX:\gtrapprox\gtrapproxKaTeX:\preceq\preceqKaTeX:\trianglelefteq\trianglelefteq
KaTeX:\coloneqq\coloneqq or \colonequalsKaTeX:\gtreqless\gtreqlessKaTeX:\precsim\precsimKaTeX:\triangleq\triangleq
KaTeX:\Coloneqq\Coloneqq or \coloncolonequalsKaTeX:\gtreqqless\gtreqqlessKaTeX:\propto\proptoKaTeX:\trianglerighteq\trianglerighteq
KaTeX:\colonsim\colonsimKaTeX:\gtrless\gtrlessKaTeX:\risingdotseq\risingdotseqKaTeX:\varpropto\varpropto
KaTeX:\Colonsim\Colonsim or \coloncolonsimKaTeX:\gtrsim\gtrsimKaTeX:\shortmid\shortmidKaTeX:\vartriangle\vartriangle
KaTeX:\cong\congKaTeX:\imageof\imageofKaTeX:\shortparallel\shortparallelKaTeX:\vartriangleleft\vartriangleleft
KaTeX:\curlyeqprec\curlyeqprecKaTeX:\in\in or \isinKaTeX:\sim\simKaTeX:\vartriangleright\vartriangleright
KaTeX:\curlyeqsucc\curlyeqsuccKaTeX:\Join\JoinKaTeX:\simcolon\simcolonKaTeX:\vcentcolon\vcentcolon or \ratio
KaTeX:\dashv\dashvKaTeX:\le\leKaTeX:\simcoloncolon\simcoloncolonKaTeX:\vdash\vdash
KaTeX:\dblcolon\dblcolon or \coloncolonKaTeX:\leq\leqKaTeX:\simeq\simeqKaTeX:\vDash\vDash
KaTeX:\doteq\doteqKaTeX:\leqq\leqqKaTeX:\smallfrown\smallfrownKaTeX:\Vdash\Vdash
KaTeX:\Doteq\DoteqKaTeX:\leqslant\leqslantKaTeX:\smallsmile\smallsmileKaTeX:\Vvdash\Vvdash

{.left-align}

Negative relationship
:-:-:-:-:-:-:-:-
KaTeX:\gnapprox\gnapproxKaTeX:\ngeqslant\ngeqslantKaTeX:\nsubseteq\nsubseteqKaTeX:\precneqq\precneqq
KaTeX:\gneq\gneqKaTeX:\ngtr\ngtrKaTeX:\nsubseteqq\nsubseteqqKaTeX:\precnsim\precnsim
KaTeX:\gneqq\gneqqKaTeX:\nleq\nleqKaTeX:\nsucc\nsuccKaTeX:\subsetneq\subsetneq
KaTeX:\gnsim\gnsimKaTeX:\nleqq\nleqqKaTeX:\nsucceq\nsucceqKaTeX:\subsetneqq\subsetneqq
KaTeX:\gvertneqq\gvertneqqKaTeX:\nleqslant\nleqslantKaTeX:\nsupseteq\nsupseteqKaTeX:\succnapprox\succnapprox
KaTeX:\lnapprox\lnapproxKaTeX:\nless\nlessKaTeX:\nsupseteqq\nsupseteqqKaTeX:\succneqq\succneqq
KaTeX:\lneq\lneqKaTeX:\nmid\nmidKaTeX:\ntriangleleft\ntriangleleftKaTeX:\succnsim\succnsim
KaTeX:\lneqq\lneqqKaTeX:\notin\notinKaTeX:\ntrianglelefteq\ntrianglelefteqKaTeX:\supsetneq\supsetneq
KaTeX:\lnsim\lnsimKaTeX:\notni\notniKaTeX:\ntriangleright\ntrianglerightKaTeX:\supsetneqq\supsetneqq
KaTeX:\lvertneqq\lvertneqqKaTeX:\nparallel\nparallelKaTeX:\ntrianglerighteq\ntrianglerighteqKaTeX:\varsubsetneq\varsubsetneq
KaTeX:\ncong\ncongKaTeX:\nprec\nprecKaTeX:\nvdash\nvdashKaTeX:\varsubsetneqq\varsubsetneqq
KaTeX:\ne\neKaTeX:\npreceq\npreceqKaTeX:\nvDash\nvDashKaTeX:\varsupsetneq\varsupsetneq
KaTeX:\neq\neqKaTeX:\nshortmid\nshortmidKaTeX:\nVDash\nVDashKaTeX:\varsupsetneqq\varsupsetneqq
KaTeX:\ngeq\ngeqKaTeX:\nshortparallel\nshortparallelKaTeX:\nVdash\nVdash
KaTeX:\ngeqq\ngeqqKaTeX:\nsim\nsimKaTeX:\precnapprox\precnapprox

KaTeX:\not = \not =

Arrow
:-:-:-:-:-:-
KaTeX:\circlearrowleft\circlearrowleftKaTeX:\leftharpoonup\leftharpoonupKaTeX:\rArr\rArr
KaTeX:\circlearrowright\circlearrowrightKaTeX:\leftleftarrows\leftleftarrowsKaTeX:\rarr\rarr
KaTeX:\curvearrowleft\curvearrowleftKaTeX:\leftrightarrow\leftrightarrowKaTeX:\restriction\restriction
KaTeX:\curvearrowright\curvearrowrightKaTeX:\Leftrightarrow\LeftrightarrowKaTeX:\rightarrow\rightarrow
KaTeX:\Darr\DarrKaTeX:\leftrightarrows\leftrightarrowsKaTeX:\Rightarrow\Rightarrow
KaTeX:\dArr\dArrKaTeX:\leftrightharpoons\leftrightharpoonsKaTeX:\rightarrowtail\rightarrowtail
KaTeX:\darr\darrKaTeX:\leftrightsquigarrow\leftrightsquigarrowKaTeX:\rightharpoondown\rightharpoondown
KaTeX:\dashleftarrow\dashleftarrowKaTeX:\Lleftarrow\LleftarrowKaTeX:\rightharpoonup\rightharpoonup
KaTeX:\dashrightarrow\dashrightarrowKaTeX:\longleftarrow\longleftarrowKaTeX:\rightleftarrows\rightleftarrows
KaTeX:\downarrow\downarrowKaTeX:\Longleftarrow\LongleftarrowKaTeX:\rightleftharpoons\rightleftharpoons
KaTeX:\Downarrow\DownarrowKaTeX:\longleftrightarrow\longleftrightarrowKaTeX:\rightrightarrows\rightrightarrows
KaTeX:\downdownarrows\downdownarrowsKaTeX:\Longleftrightarrow\LongleftrightarrowKaTeX:\rightsquigarrow\rightsquigarrow
KaTeX:\downharpoonleft\downharpoonleftKaTeX:\longmapsto\longmapstoKaTeX:\Rrightarrow\Rrightarrow
KaTeX:\downharpoonright\downharpoonrightKaTeX:\longrightarrow\longrightarrowKaTeX:\Rsh\Rsh
KaTeX:\gets\getsKaTeX:\Longrightarrow\LongrightarrowKaTeX:\searrow\searrow
KaTeX:\Harr\HarrKaTeX:\looparrowleft\looparrowleftKaTeX:\swarrow\swarrow
KaTeX:\hArr\hArrKaTeX:\looparrowright\looparrowrightKaTeX:\to\to
KaTeX:\harr\harrKaTeX:\Lrarr\LrarrKaTeX:\twoheadleftarrow\twoheadleftarrow
KaTeX:\hookleftarrow\hookleftarrowKaTeX:\lrArr\lrArrKaTeX:\twoheadrightarrow\twoheadrightarrow
KaTeX:\hookrightarrow\hookrightarrowKaTeX:\lrarr\lrarrKaTeX:\Uarr\Uarr
KaTeX:\iff\iffKaTeX:\Lsh\LshKaTeX:\uArr\uArr
KaTeX:\impliedby\impliedbyKaTeX:\mapsto\mapstoKaTeX:\uarr\uarr
KaTeX:\implies\impliesKaTeX:\nearrow\nearrowKaTeX:\uparrow\uparrow
KaTeX:\Larr\LarrKaTeX:\nleftarrow\nleftarrowKaTeX:\Uparrow\Uparrow
KaTeX:\lArr\lArrKaTeX:\nLeftarrow\nLeftarrowKaTeX:\updownarrow\updownarrow
KaTeX:\larr\larrKaTeX:\nleftrightarrow\nleftrightarrowKaTeX:\Updownarrow\Updownarrow
KaTeX:\leadsto\leadstoKaTeX:\nLeftrightarrow\nLeftrightarrowKaTeX:\upharpoonleft\upharpoonleft
KaTeX:\leftarrow\leftarrowKaTeX:\nrightarrow\nrightarrowKaTeX:\upharpoonright\upharpoonright
KaTeX:\Leftarrow\LeftarrowKaTeX:\nRightarrow\nRightarrowKaTeX:\upuparrows\upuparrows
KaTeX:\leftarrowtail\leftarrowtailKaTeX:\nwarrow\nwarrow
KaTeX:\leftharpoondown\leftharpoondownKaTeX:\Rarr\Rarr

{.left-align}

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

#Symbols and Punctuation

Symbols and Punctuation
:-:-:-:-:-:-
KaTeX:% comment% commentKaTeX:\dots\dotsKaTeX:\KaTeX\KaTeX
KaTeX:\%\%KaTeX:\cdots\cdotsKaTeX:\LaTeX\LaTeX
KaTeX:\#\#KaTeX:\ddots\ddotsKaTeX:\TeX\TeX
KaTeX:\&\&KaTeX:\ldots\ldotsKaTeX:\nabla\nabla
KaTeX:\_\_KaTeX:\vdots\vdotsKaTeX:\infty\infty
KaTeX:\text{\textunderscore}\text{\textunderscore}KaTeX:\dotsb\dotsbKaTeX:\infin\infin
KaTeX:\text{--}\text{--}KaTeX:\dotsc\dotscKaTeX:\checkmark\checkmark
KaTeX:\text{\textendash}\text{\textendash}KaTeX:\dotsi\dotsiKaTeX:\dag\dag
KaTeX:\text{---}\text{---}KaTeX:\dotsm\dotsmKaTeX:\dagger\dagger
KaTeX:\text{\textemdash}\text{\textemdash}KaTeX:\dotso\dotsoKaTeX:\text{\textdagger}\text{\textdagger}
KaTeX:\text{\textasciitilde}\text{\textasciitilde}KaTeX:\sdot\sdotKaTeX:\ddag\ddag
KaTeX:\text{\textasciicircum}\text{\textasciicircum}KaTeX:\mathellipsis\mathellipsisKaTeX:\ddagger\ddagger
KaTeX:``KaTeX:\text{\textellipsis}\text{\textellipsis}KaTeX:\text{\textdaggerdbl}\text{\textdaggerdbl}
KaTeX:\text{\textquoteleft}text{\textquoteleft}KaTeX:\Box\BoxKaTeX:\Dagger\Dagger
KaTeX:\lq\lqKaTeX:\square\squareKaTeX:\angle\angle
KaTeX:\text{\textquoteright}\text{\textquoteright}KaTeX:\blacksquare\blacksquareKaTeX:\measuredangle\measuredangle
KaTeX:\rq\rqKaTeX:\triangle\triangleKaTeX:\sphericalangle\sphericalangle
KaTeX:\text{\textquotedblleft}\text{\textquotedblleft}KaTeX:\triangledown\triangledownKaTeX:\top\top
KaTeX:""KaTeX:\triangleleft\triangleleftKaTeX:\bot\bot
KaTeX:\text{\textquotedblright}\text{\textquotedblright}KaTeX:\triangleright\trianglerightKaTeX:\$\$
KaTeX:\colon\colonKaTeX:\bigtriangledown\bigtriangledownKaTeX:\text{\textdollar}\text{\textdollar}
KaTeX:\backprime\backprimeKaTeX:\bigtriangleup\bigtriangleupKaTeX:\pounds\pounds
KaTeX:\prime\primeKaTeX:\blacktriangle\blacktriangleKaTeX:\mathsterling\mathsterling
KaTeX:\text{\textless}\text{\textless}KaTeX:\blacktriangledown\blacktriangledownKaTeX:\text{\textsterling}\text{\textsterling}
KaTeX:\text{\textgreater}\text{\textgreater}KaTeX:\blacktriangleleft\blacktriangleleftKaTeX:\yen\yen
KaTeX:\text{\textbar}\text{\textbar}KaTeX:\blacktriangleright\blacktrianglerightKaTeX:\surd\surd
KaTeX:\text{\textbardbl}\text{\textbardbl}KaTeX:\diamond\diamondKaTeX:\degree\degree
KaTeX:\text{\textbraceleft}\text{\textbraceleft}KaTeX:\Diamond\DiamondKaTeX:\text{\textdegree}\text{\textdegree}
KaTeX:\text{\textbraceright}\text{\textbraceright}KaTeX:\lozenge\lozengeKaTeX:\mho\mho
KaTeX:\text{\textbackslash}\text{\textbackslash}KaTeX:\blacklozenge\blacklozengeKaTeX:\diagdown\diagdown
KaTeX:\text{\P}\text{\P} or \PKaTeX:\star\starKaTeX:\diagup\diagup
KaTeX:\text{\S}\text{\S} or \SKaTeX:\bigstar\bigstarKaTeX:\flat\flat
KaTeX:\text{\sect}\text{\sect}KaTeX:\clubsuit\clubsuitKaTeX:\natural\natural
KaTeX:\copyright\copyrightKaTeX:\clubs\clubsKaTeX:\sharp\sharp
KaTeX:\circledR\circledRKaTeX:\diamondsuit\diamondsuitKaTeX:\heartsuit\heartsuit
KaTeX:\text{\textregistered}\text{\textregistered}KaTeX:\diamonds\diamondsKaTeX:\hearts\hearts
KaTeX:\circledS\circledSKaTeX:\spadesuit\spadesuitKaTeX:\spades\spades
KaTeX:\text{\textcircled a}\text{\textcircled a}KaTeX:\maltese\malteseKaTeX:\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
:-:-
KaTeX:\color{blue} F=ma\color{blue} F=ma
KaTeX:\textcolor{blue}{F=ma}\textcolor{blue}{F=ma}
KaTeX:\textcolor{#228B22}{F=ma}\textcolor{#228B22}{F=ma}
KaTeX:\colorbox{aqua}{$F=ma$}\colorbox{aqua}{$F=ma$}
KaTeX:\fcolorbox{red}{aqua}{$F=ma$}\fcolorbox{red}{aqua}{$F=ma$}
Font
:-:-:-:-:-:-
KaTeX:\Huge AB\Huge ABKaTeX:\normalsize AB\normalsize ABKaTeX:\normalsize AB\normalsize AB
KaTeX:\huge AB\huge ABKaTeX:\huge AB\huge ABKaTeX:\small AB\small AB
KaTeX:\LARGE AB\LARGE ABKaTeX:\LARGE AB\LARGE ABKaTeX:\footnotesize AB\footnotesize AB
KaTeX:\Large AB\Large ABKaTeX:\Large AB\Large ABKaTeX:\scriptsize AB\scriptsize AB
KaTeX:\large AB\large ABKaTeX:\large AB\large ABKaTeX:\tiny AB\tiny AB
Style
:-:-:-:-
KaTeX:\displaystyle\sum_{i=1}^n\displaystyle\sum_{i=1}^nKaTeX:\textstyle\sum_{i=1}^n\textstyle\sum_{i=1}^n
KaTeX:\scriptstyle x\scriptstyle xKaTeX:\scriptscriptstyle x\scriptscriptstyle x
KaTeX:\lim\limits_x\lim\limits_xKaTeX:\lim\nolimits_x\lim\nolimits_x
KaTeX:\verb!x^2!\verb!x^2!

#Also See