# LaTeXcheatsheet

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

## #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 line
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

preview method preview method preview method preview method preview method preview method
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

#### #Other letters

:- :- :- :- :- :- :- :- :- :-
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}

### #Alphabets and Unicode

preview method preview method preview method preview method
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

### #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_\angln a_\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_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}}

### #Overlap and Spacing

:- :- :- :-
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}

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


### #KaTeX:\LaTeX math constructs

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

preview method preview method preview method preview method preview method
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 syntax conflict) \| 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

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:expr KaTeX:\right\| KaTeX:\left\{ KaTeX:expr KaTeX:\right\} KaTeX:\left\Vert KaTeX:expr KaTeX:\right.

### #Variable Size Symbols

preview method preview method preview method preview method preview method
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

### #standard function name

preview method preview method preview method preview method
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

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

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

### #Logic and Set Theory

:- :- :- :- :- :- :- :-
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 or \lnot

:- :- :- :-
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 }

## #Operator

### #Mathematical operator

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

### #Big operator

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

### #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/b a/b KaTeX:\cfrac{a}{1 + \cfrac{1}{b}} \cfrac{a}{1 + \cfrac{1}{b}}
:- :- :- :-
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}

### #\sqrt

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

### #Binary operator

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

## #Relation

### #Relation

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

### #Negative relationship

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

KaTeX:\not = \not =

### #Arrow

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

### #可扩展箭头

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

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

\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}


## #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 AB KaTeX:\normalsize AB \normalsize AB KaTeX:\normalsize AB \normalsize AB
KaTeX:\huge AB \huge AB KaTeX:\huge AB \huge AB KaTeX:\small AB \small AB
KaTeX:\LARGE AB \LARGE AB KaTeX:\LARGE AB \LARGE AB KaTeX:\footnotesize AB \footnotesize AB
KaTeX:\Large AB \Large AB KaTeX:\Large AB \Large AB KaTeX:\scriptsize AB \scriptsize AB
KaTeX:\large AB \large AB KaTeX:\large AB \large AB KaTeX:\tiny AB \tiny AB

### #Style

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