Skip to main content

LaTeX数学公式大全

本文参考:

  1. 超详细 LaTex数学公式
  2. Katex Function

希腊字母​

A\Alpha \AlphaB\Beta \BetaΓ\Gamma \GammaΔ\Delta \Delta
E\Epsilon \EpsilonZ\Zeta \ZetaH\Eta \EtaΘ\Theta \Theta
I\Iota \IotaK\Kappa \KappaΛ\Lambda \LambdaM\Mu \Mu
N\Nu \NuΞ\Xi \XiO\Omicron \OmicronΠ\Pi \Pi
P\Rho \RhoΣ\Sigma \SigmaT\Tau \TauΥ\Upsilon \Upsilon
Φ\Phi \PhiX\Chi \ChiΨ\Psi \PsiΩ\Omega \Omega
Γ\varGamma \varGammaΔ\varDelta \varDeltaΘ\varTheta \varThetaΛ\varLambda \varLambda
Ξ\varXi \varXiΠ\varPi \varPiΣ\varSigma \varSigmaΥ\varUpsilon \varUpsilon
Φ\varPhi \varPhiΨ\varPsi \varPsiΩ\varOmega \varOmega
α\alpha \alphaβ\beta \betaγ\gamma \gammaδ\delta \delta
ϵ\epsilon \epsilonζ\zeta \zetaη\eta \etaθ\theta \theta
ι\iota \iotaκ\kappa \kappaλ\lambda \lambdaμ\mu \mu
ν\nu \nuξ\xi \xiο\omicron \omicronπ\pi \pi
ρ\rho \rhoσ\sigma \sigmaτ\tau \tauυ\upsilon \upsilon
ϕ\phi \phiχ\chi \chiψ\psi \psiω\omega \omega
ε\varepsilon \varepsilonϰ\varkappa \varkappaϑ\vartheta \varthetaϑ\thetasym \thetasym
ϖ\varpi \varpiϱ\varrho \varrhoς\varsigma \varsigmaφ\varphi \varphi
ϝ\digamma \digamma

其他字符​

ı\imath \imath∇\nabla \nablaℑ\Im \ImR\Reals \RealsŒ\text{\OE} \text{\OE}
ȷ\jmath \jmath∂\partial \partialℑ\image \image℘\wp \wpø\text{\o} \text{\o}
ℵ\aleph \aleph⅁\Game \Gamek\Bbbk \Bbbk℘\weierp \weierpØ\text{\O} \text{\O}
ℵ\alef \alefℲ\Finv \FinvN\N \NZ\Z \Zß\text{\ss} \text{\ss}
ℵ\alefsym \alefsymC\cnums \cnumsN\natnums \natnumsa˚\text{\aa} \text{\aa}ı\text{\i} \text{\i}
ℶ\beth \bethC\Complex \ComplexR\R \RA˚\text{\AA} \text{\AA}ȷ\text{\j} \text{\j}
ℷ\gimel \gimelℓ\ell \ellℜ\Re \Reæ\text{\ae} \text{\ae}
ℸ\daleth \dalethℏ\hbar \hbarℜ\real \realÆ\text{\AE} \text{\AE}
ð\eth \ethℏ\hslash \hslashR\reals \realsœ\text{\oe} \text{\oe}

运算符​

∑\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
ab\frac{a}{b} \frac{a}{b}ab\tfrac{a}{b} \tfrac{a}{b}(aa+1]\genfrac ( ] {2pt}{1}a{a+1} \genfrac ( ] {2pt}{1}a{a+1}
ab{a \over b} {a \over b}ab\dfrac{a}{b} \dfrac{a}{b}ab+1{a \above{2pt} b+1} {a \above{2pt} b+1}
a/ba/b a/ba1+1b\cfrac{a}{1 + \cfrac{1}{b}} \cfrac{a}{1 + \cfrac{1}{b}}
(nk)\binom{n}{k} \binom{n}{k}(nk)\dbinom{n}{k} \dbinom{n}{k}{nk}{n\brace k} {n\brace k}
(nk){n \choose k} {n \choose k}(nk)\tbinom{n}{k} \tbinom{n}{k}[nk]{n\brack k} {n\brack k}
arcsin⁡\arcsin \arcsincosec⁡\cosec \cosecdeg⁡\deg \degsec⁡\sec \sec
arccos⁡\arccos \arccoscosh⁡\cosh \coshdim⁡\dim \dimsin⁡\sin \sin
arctan⁡\arctan \arctancot⁡\cot \cotexp⁡\exp \expsinh⁡\sinh \sinh
arctg⁡\arctg \arctgcotg⁡\cotg \cotghom⁡\hom \homsh⁡\sh \sh
arcctg⁡\arcctg \arcctgcoth⁡\coth \cothker⁡\ker \kertan⁡\tan \tan
arg⁡\arg \argcsc⁡\csc \csclg⁡\lg \lgtanh⁡\tanh \tanh
ch⁡\ch \chctg⁡\ctg \ctgln⁡\ln \lntg⁡\tg \tg
cos⁡\cos \coscth⁡\cth \cthlog⁡\log \logth⁡\th \th
f⁡\operatorname{f} \operatorname{f}
arg max⁡\argmax \argmaxinj lim⁡\injlim \injlimmin⁡\min \minlim→⁡\varinjlim \varinjlim
arg min⁡\argmin \argminlim⁡\lim \limplim⁡\plim \plimlim‾⁡\varliminf \varliminf
det⁡\det \detlim inf⁡\liminf \liminfPr⁡\Pr \Prlim‾⁡\varlimsup \varlimsup
gcd⁡\gcd \gcdlim sup⁡\limsup \limsupproj lim⁡\projlim \projlimlim←⁡\varprojlim \varprojlim
inf⁡\inf \infmax⁡\max \maxsup⁡\sup \sup
f⁡\operatorname*{f} \operatorname*{f}f⁡\operatornamewithlimits{f} \operatornamewithlimits{f}
++ +⋅\cdot \cdot⋗\gtrdot \gtrdotx(moda)x \pmod a x \pmod a
−- -⋅\cdotp \cdotp⊺\intercal \intercalx(a)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
 mod \bmod \bmod⋎\curlyvee \curlyveexmod  ax \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 or \plusmn≀\wr \wr
a′a' a'a~\tilde{a} \tilde{a}g˚\mathring{g} \mathring{g}
a′′a'' a''ac~\widetilde{ac} \widetilde{ac}AB⏠\overgroup{AB} \overgroup{AB}
a′a^{\prime} a^{\prime}AB~\utilde{AB} \utilde{AB}AB⏡\undergroup{AB} \undergroup{AB}
aˊ\acute{a} \acute{a}F⃗\vec{F} \vec{F}AB⇒\Overrightarrow{AB} \Overrightarrow{AB}
yˉ\bar{y} \bar{y}AB←\overleftarrow{AB} \overleftarrow{AB}AB→\overrightarrow{AB} \overrightarrow{AB}
a˘\breve{a} \breve{a}AB←\underleftarrow{AB} \underleftarrow{AB}AB→\underrightarrow{AB} \underrightarrow{AB}
aˇ\check{a} \check{a}ac↼\overleftharpoon{ac} \overleftharpoon{ac}ac⇀\overrightharpoon{ac} \overrightharpoon{ac}
a˙\dot{a} \dot{a}AB↔\overleftrightarrow{AB} \overleftrightarrow{AB}AB⏞\overbrace{AB} \overbrace{AB}
a¨\ddot{a} \ddot{a}AB↔\underleftrightarrow{AB} \underleftrightarrow{AB}AB⏟\underbrace{AB} \underbrace{AB}
aˋ\grave{a} \grave{a}AB‾\overline{AB} \overline{AB}ABundefined\overlinesegment{AB} \overlinesegment{AB}
θ^\hat{\theta} \hat{\theta}AB‾\underline{AB} \underline{AB}ABundefined\underlinesegment{AB} \underlinesegment{AB}
ac^\widehat{ac} \widehat{ac}acˇ\widecheck{ac} \widecheck{ac}X‾\underbar{X} \underbar{X}
aˊ\text{\'{a}} \'{a}a˜\text{\~{a}} \~{a}a˙\text{\.{a}} \.{a}a˝\text{\H{a}} \H{a}
aˋ\text{\`{a}} \`{a}aˉ\text{\={a}} \={a}a¨\text{\"{a}} \"{a}aˇ\text{\v{a}} \v{a}
aˆ\text{\^{a}} \^{a}a˘\text{\u{a}} \u{a}a˚\text{\r{a}} \r{a}
A\Alpha \AlphaB\Beta \BetaΓ\Gamma \GammaΔ\Delta \Delta
E\Epsilon \EpsilonZ\Zeta \ZetaH\Eta \EtaΘ\Theta \Theta
I\Iota \IotaK\Kappa \KappaΛ\Lambda \LambdaM\Mu \Mu
N\Nu \NuΞ\Xi \XiO\Omicron \OmicronΠ\Pi \Pi
P\Rho \RhoΣ\Sigma \SigmaT\Tau \TauΥ\Upsilon \Upsilon
Φ\Phi \PhiX\Chi \ChiΨ\Psi \PsiΩ\Omega \Omega
Γ\varGamma \varGammaΔ\varDelta \varDeltaΘ\varTheta \varThetaΛ\varLambda \varLambda
Ξ\varXi \varXiΠ\varPi \varPiΣ\varSigma \varSigmaΥ\varUpsilon \varUpsilon
Φ\varPhi \varPhiΨ\varPsi \varPsiΩ\varOmega \varOmega
α\alpha \alphaβ\beta \betaγ\gamma \gammaδ\delta \delta
ϵ\epsilon \epsilonζ\zeta \zetaη\eta \etaθ\theta \theta
ι\iota \iotaκ\kappa \kappaλ\lambda \lambdaμ\mu \mu
ν\nu \nuξ\xi \xiο\omicron \omicronπ\pi \pi
ρ\rho \rhoσ\sigma \sigmaτ\tau \tauυ\upsilon \upsilon
ϕ\phi \phiχ\chi \chiψ\psi \psiω\omega \omega
ε\varepsilon \varepsilonϰ\varkappa \varkappaϑ\vartheta \varthetaϑ\thetasym \thetasym
ϖ\varpi \varpiϱ\varrho \varrhoς\varsigma \varsigmaφ\varphi \varphi
ϝ\digamma \digamma
ı\imath \imath∇\nabla \nablaℑ\Im \ImR\Reals \RealsŒ\text{\OE} \text{\OE}
ȷ\jmath \jmath∂\partial \partialℑ\image \image℘\wp \wpø\text{\o} \text{\o}
ℵ\aleph \aleph⅁\Game \Gamek\Bbbk \Bbbk℘\weierp \weierpØ\text{\O} \text{\O}
ℵ\alef \alefℲ\Finv \FinvN\N \NZ\Z \Zß\text{\ss} \text{\ss}
ℵ\alefsym \alefsymC\cnums \cnumsN\natnums \natnumsa˚\text{\aa} \text{\aa}ı\text{\i} \text{\i}
ℶ\beth \bethC\Complex \ComplexR\R \RA˚\text{\AA} \text{\AA}ȷ\text{\j} \text{\j}
ℷ\gimel \gimelℓ\ell \ellℜ\Re \Reæ\text{\ae} \text{\ae}
ℸ\daleth \dalethℏ\hbar \hbarℜ\real \realÆ\text{\AE} \text{\AE}
ð\eth \ethℏ\hslash \hslashR\reals \realsœ\text{\oe} \text{\oe}

Annotation​

5\cancel{5} \cancel{5}a+b+c⏞note\overbrace{a+b+c}^{\text{note}} \overbrace{a+b+c}^{\text{note}}
5\bcancel{5} \bcancel{5}a+b+c⏟note\underbrace{a+b+c}_{\text{note}} \underbrace{a+b+c}_{\text{note}}
ABC\xcancel{ABC} \xcancel{ABC}≠\not = \not =
abc\sout{abc} \sout{abc}π=cd\boxed{\pi=\frac c d} \boxed{\pi=\frac c d}
ana_{\angl n} $a_{\angl n}ana_\angln a_\angln
−78∘\phase{-78^\circ}\phase{-78^\circ}
∀\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 \neg or \lnot

关系​

== =≑\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
⪊\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

箭头​

↺\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
←abc\xleftarrow{abc} \xleftarrow{abc}→underover\xrightarrow[under]{over} \xrightarrow[under]{over}
⇐abc\xLeftarrow{abc} \xLeftarrow{abc}⇒abc\xRightarrow{abc} \xRightarrow{abc}
↔abc\xleftrightarrow{abc} \xleftrightarrow{abc}⇔abc\xLeftrightarrow{abc} \xLeftrightarrow{abc}
↩abc\xhookleftarrow{abc} \xhookleftarrow{abc}↪abc\xhookrightarrow{abc} \xhookrightarrow{abc}
↞abc\xtwoheadleftarrow{abc} \xtwoheadleftarrow{abc}↠abc\xtwoheadrightarrow{abc} \xtwoheadrightarrow{abc}
↼abc\xleftharpoonup{abc} \xleftharpoonup{abc}⇀abc\xrightharpoonup{abc} \xrightharpoonup{abc}
↽abc\xleftharpoondown{abc} \xleftharpoondown{abc}⇁abc\xrightharpoondown{abc} \xrightharpoondown{abc}
⇋abc\xleftrightharpoons{abc} \xleftrightharpoons{abc}⇌abc\xrightleftharpoons{abc} \xrightleftharpoons{abc}
⇄abc\xtofrom{abc} \xtofrom{abc}↦abc\xmapsto{abc} \xmapsto{abc}
=abc\xlongequal{abc} \xlongequal{abc}

符号和标点符号​

% comment…\dots \dotsKaTeX\KaTeX \KaTeX
%\% \%⋯\cdots \cdotsLaTeX\LaTeX \LaTeX
#\# \#⋱\ddots \ddotsTeX\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
‘` `…\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
a◯\text{\textcircled a} \text{\textcircled a}✠\maltese \maltese⦵\minuso \minuso

字体​

LaTeX代码效果LaTeX代码效果
\mathbb{A-Z}A−Z\mathbb{A-Z}\mathit{A-Z,a-z,0-9}A−Z,a−z,0−9\mathit{A-Z,a-z,0-9}
\mathbf{A-Z,a-z,0-9}A−Z,a−z\mathbf{A-Z,a-z}\pmb{A-Z,a-z,0-9A−Z,a−z,0−9\pmb{A-Z,a-z,0-9}
\mathtt{A-Z,a-z,0-9}A−Z,a−z,0−9\mathtt{A-Z,a-z,0-9}\mathrm{A-Z,a-z,0-9}A−Z,a−z,0−9\mathrm{A-Z,a-z,0-9}
\mathsf{A-Z,a-z,0-9}A−Z,a−z,0−9\mathsf{A-Z,a-z,0-9}\mathcal{A-Z,a-z,0-9}A−Z,a−z,0−9\mathcal{A-Z,a-z,0-9}
\mathscr{A-Z,a-z}A−Z\mathscr{A-Z}\mathfrak{A-Z,a-z,0-9}A−Z,a−z,0−9\mathfrak{A-Z,a-z,0-9}

上下标​

aba^b
a^b 
aca_c
a_c
acba^b_c
a^b_c
a2112a^{12}_{21}
a^{12}_{21}

分式和根式​

3/83/8
3/8 
38\frac{3}{8}
\frac{3}{8}
38\tfrac{3}{8}
\tfrac{3}{8}
x⇔x1/2\sqrt{x} \Leftrightarrow x^{1/2}
\sqrt{x} \Leftrightarrow x^{1/2}
23\sqrt[3]{2}
\sqrt[3]{2}
x2+y\sqrt{x^{2} + \sqrt{y}}
\sqrt{x^{2} + \sqrt{y}}

求和​

∑i=1nxi\sum_{i=1}^n x_i
\sum_{i=1}^n x_i

连乘​

∏i=0nxi\prod_{i=0}^{n}x_i
\prod_{i=0}^{n}x_i

极限​

如果是行间公式,则如下:

lim⁡x→∞f(x)\lim_{x \to \infty} f(x)
\lim_{x \to \infty} f(x)

如果是行内公式,则如下:

lim⁡x→∞f(x)\lim\limits_{x \to \infty} f(x)
\lim\limits_{x \to \infty} f(x)

其他案例:

ex=lim⁡n→∞(1+xn)ne^x=\lim_{n\to\infty} \left( 1+\frac{x}{n} \right)^n
e^x=\lim_{n\to\infty} \left( 1+\frac{x}{n} \right)^n

导数​

dydx\frac{\mathrm{d} y }{\mathrm{d} x}
\frac{\mathrm{d} y }{\mathrm{d} x}
dnydxn\frac{\mathrm{d}^{n} y }{\mathrm{d} x^{n}}
\frac{\mathrm{d}^{n} y }{\mathrm{d} x^{n}}
ddxy2\frac{\mathrm{d} }{\mathrm{d} x} y^2
\frac{\mathrm{d} }{\mathrm{d} x} y^2
y′x′\frac{ y^{'} }{ x^{'} }
\frac{ y^{'} }{ x^{'} }

偏导数​

∂f∂x\frac{\partial f}{\partial x}
\frac{\partial f}{\partial x}
∂nf∂xn\frac{\partial ^{n} f}{\partial x^{n}}
\frac{\partial ^{n} f}{\partial x^{n}}

积分​

∫abf(x)dx\int_a^b f(x)\mathrm{d}x
\int_a^b f(x)\mathrm{d}x 
∫∫f(x)g(y)dxdy\int\int f(x)g(y) \mathrm{d}x\mathrm{d}y
\int\int f(x)g(y) \mathrm{d}x\mathrm{d}y
∮0π22θdθ\oint_0^{\frac{\pi}{2}}2\theta\mathrm{d}\theta
\oint_0^{\frac{\pi}{2}}2\theta\mathrm{d}\theta

括号​

LaTex表达式中的 ( ) 、 [ ] 均可以正常使用,但是对于 { } 需要使用转义字符使用,即使用 “{” 和 “}” 表示 { }

LaTeX代码效果
\left( \cdots \right)(⋯ )\left( \cdots \right)
\vert \cdots \vert∣⋯∣\vert \cdots \vert
\Vert \cdots \Vert∥⋯∥\Vert \cdots \Vert
\langle \cdots \rangle⟨⋯ ⟩\langle \cdots \rangle
\Biggl(\biggl(\Bigl(\bigl((\cdots)\bigr)\Bigr)\biggr)\Biggr)(((((⋯ )))))\Biggl(\biggl(\Bigl(\bigl((\cdots)\bigr)\Bigr)\biggr)\Biggr)
f([1+{x,y}(xy+yx)(u+1)+a]3/2)f\left( \left[ \frac{ 1+\left\{x,y\right\} }{ \left( \frac{x}{y}+\frac{y}{x} \right) \left(u+1\right) }+a \right]^{3/2} \right)
f\left(
\left[
\frac{
1+\left\{x,y\right\}
}{
\left(
\frac{x}{y}+\frac{y}{x}
\right)
\left(u+1\right)
}+a
\right]^{3/2}
\right)

对齐方程​

37=732−1122=732122⋅732−1732=732122732−1732=73121−1732≈7312(1−12⋅732)\begin{align} \sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\ & = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\ & = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\ & = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\ & \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right) \end{align}
\begin{align}
\sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\
& = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\
& = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\
& = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\
& \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)
\end{align}
f(x)=(x3)+(x3+x2+x1)+(x3+x‌​2)f′(x)=(3x2+2x+1)+(3x2+2x)f′′(x)=(6x+2)\begin{align} f(x)&=\left(x^3\right)+\left(x^3+x^2+x^1\right)+\left(x^3+x^‌​2\right)\\ f'(x)&=\left(3x^2+2x+1\right)+\left(3x^2+2x\right)\\ f''(x)&=\left(6x+2\right)\\ \end{align}
\begin{align} 
f(x)&=\left(x^3\right)+\left(x^3+x^2+x^1\right)+\left(x^3+x^‌​2\right)\\
f'(x)&=\left(3x^2+2x+1\right)+\left(3x^2+2x\right)\\
f''(x)&=\left(6x+2\right)\\
\end{align}
f(x)=(x3)+(x3+x2+x1)+(x3+x‌​2)f′(x)=(3x2+2x+1)+(3x2+2x)f′′(x)=(6x+2)\begin{equation} \begin{aligned} f(x)&=\left(x^3\right)+\left(x^3+x^2+x^1\right)+\left(x^3+x^‌​2\right)\\ f'(x)&=\left(3x^2+2x+1\right)+\left(3x^2+2x\right)\\ f''(x)&=\left(6x+2\right)\\ \end{aligned} \end{equation}
\begin{equation}
\begin{aligned}
f(x)&=\left(x^3\right)+\left(x^3+x^2+x^1\right)+\left(x^3+x^‌​2\right)\\
f'(x)&=\left(3x^2+2x+1\right)+\left(3x^2+2x\right)\\
f''(x)&=\left(6x+2\right)\\
\end{aligned}
\end{equation}

矩阵​

abcd\begin{matrix} a & b \\ c & d \end{matrix}
\begin{matrix}
a & b \\
c & d
\end{matrix}
(abcd)\begin{pmatrix} a & b \\ c & d \end{pmatrix}
\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
[abcd]\begin{bmatrix} a & b \\ c & d \end{bmatrix}
\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}
∣abcd∣\begin{vmatrix} a & b \\ c & d \end{vmatrix}
\begin{vmatrix}
a & b \\
c & d
\end{vmatrix}
∥abcd∥\begin{Vmatrix} a & b \\ c & d \end{Vmatrix}
\begin{Vmatrix}
a & b \\
c & d
\end{Vmatrix}
{abcd}\begin{Bmatrix} a & b \\ c & d \end{Bmatrix}
\begin{Bmatrix}
a & b \\
c & d
\end{Bmatrix}
(1a1a12⋯a1n1a2a22⋯a2n⋮⋮⋮⋱⋮1amam2⋯amn)\begin{pmatrix} 1 & a_1 & a_1^2 & \cdots & a_1^n \\ 1 & a_2 & a_2^2 & \cdots & a_2^n \\ \vdots & \vdots& \vdots & \ddots & \vdots \\ 1 & a_m & a_m^2 & \cdots & a_m^n \end{pmatrix}
\begin{pmatrix}
1 & a_1 & a_1^2 & \cdots & a_1^n \\
1 & a_2 & a_2^2 & \cdots & a_2^n \\
\vdots & \vdots& \vdots & \ddots & \vdots \\
1 & a_m & a_m^2 & \cdots & a_m^n
\end{pmatrix}

分段函数​

f(n)={n/2,if n is even3n+1,if n is oddf(n) = \begin{cases} n/2, & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \end{cases}
f(n) =
\begin{cases}
n/2, & \text{if $n$ is even} \\
3n+1, & \text{if $n$ is odd}
\end{cases}
if n is even:n/2if n is odd:3n+1}=f(n)\left. \begin{array}{l} \text{if $n$ is even:}&n/2\\ \text{if $n$ is odd:}&3n+1 \end{array} \right\} =f(n)
\left.
\begin{array}{l}
\text{if $n$ is even:}&n/2\\
\text{if $n$ is odd:}&3n+1
\end{array}
\right\}
=f(n)
f(n)={n2,if n is even3n+1,if n is oddf(n) = \begin{cases} \frac{n}{2}, & \text{if $n$ is even} \\[2ex] 3n+1, & \text{if $n$ is odd} \end{cases}
f(n) =
\begin{cases}
\frac{n}{2}, & \text{if $n$ is even} \\[2ex]
3n+1, & \text{if $n$ is odd}
\end{cases}

方程组​

{a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3\left\{ \begin{array}{c} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{array} \right.
\left\{ 
\begin{array}{c}
a_1x+b_1y+c_1z=d_1 \\
a_2x+b_2y+c_2z=d_2 \\
a_3x+b_3y+c_3z=d_3
\end{array}
\right.
{a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3\begin{cases} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{cases}
\begin{cases}
a_1x+b_1y+c_1z=d_1 \\
a_2x+b_2y+c_2z=d_2 \\
a_3x+b_3y+c_3z=d_3
\end{cases}
{a1x+b1y+c1z=d1+e1a2x+b2y=d2a3x+b3y+c3z=d3\left\{ \begin{aligned} a_1x+b_1y+c_1z &=d_1+e_1 \\ a_2x+b_2y&=d_2 \\ a_3x+b_3y+c_3z &=d_3 \end{aligned} \right.
\left\{
\begin{aligned}
a_1x+b_1y+c_1z &=d_1+e_1 \\
a_2x+b_2y&=d_2 \\
a_3x+b_3y+c_3z &=d_3
\end{aligned}
\right.
{a1x+b1y+c1z=p1q1a2x+b2y+c2z=p2q2a3x+b3y+c3z=p3q3\begin{cases} a_1x+b_1y+c_1z=\frac{p_1}{q_1} \\[2ex] a_2x+b_2y+c_2z=\frac{p_2}{q_2} \\[2ex] a_3x+b_3y+c_3z=\frac{p_3}{q_3} \end{cases}
\begin{cases}
a_1x+b_1y+c_1z=\frac{p_1}{q_1} \\[2ex]
a_2x+b_2y+c_2z=\frac{p_2}{q_2} \\[2ex]
a_3x+b_3y+c_3z=\frac{p_3}{q_3}
\end{cases}
{a1x+b1y+c1z=p1q1a2x+b2y+c2z=p2q2a3x+b3y+c3z=p3q3\begin{cases} a_1x+b_1y+c_1z=\frac{p_1}{q_1} \\ a_2x+b_2y+c_2z=\frac{p_2}{q_2} \\ a_3x+b_3y+c_3z=\frac{p_3}{q_3} \end{cases}
\begin{cases}
a_1x+b_1y+c_1z=\frac{p_1}{q_1} \\
a_2x+b_2y+c_2z=\frac{p_2}{q_2} \\
a_3x+b_3y+c_3z=\frac{p_3}{q_3}
\end{cases}