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LaTeX 備忘清單

本備忘單總結(jié)了 LaTeX 常用顯示數(shù)學(xué)符號的參考列表和一些 KaTeX 的應(yīng)用示例。

入門

介紹

LaTeX 基于 TEX 的排版系統(tǒng),適用于生成高印刷質(zhì)量的科技和數(shù)學(xué)、物理文檔。

KaTeX 只處理 LaTeX 的數(shù)學(xué)符號的一個更小的子集,用于 web 上展示

示例

f(x)=?fξ^?e2πiξx?dξ% \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

行內(nèi)展示

基于 KaTeX 在一行
展示示例: `KaTeX:\int_0^\infty x^2 dx`

基于 KaTeX 在一行展示示例: 0x2dx\int_0^\infty x^2 dx

Supported Functions

Accents

:-:-:-
aa' a'a~\tilde{a} \tilde{a}g?\mathring{g} \mathring{g}
aa'' a''ac~\widetilde{ac} \widetilde{ac}AB?\overgroup{AB} \overgroup{AB}
aa^{\prime} a^{\prime}AB~\utilde{AB} \utilde{AB}AB?\undergroup{AB} \undergroup{AB}
aˊ\acute{a} \acute{a}F?\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}

\text{…}中的強調(diào)功能

:-:-:-
aˊ\'{a} \'{a}a?\~{a} \~{a}
a˙\.{a} \.{a}a?\H{a} \H{a}
aˋ\\\`{a} \`{a}aˉ\={a} \={a}
a¨\"{a} \"{a}aˇ\v{a} \v{a}
a?\^{a} \^{a}a?\u{a} \u{a}
a?\r{a} \r{a}

Delimiter Sizing

:-:-
(AB)\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

希臘和希伯來字母 Greek and Hebrew letters

預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法
α\alpha\alphaκ\kappa\kappaψ\psi\psi?\digamma\digammaΔ\Delta\DeltaΘ\Theta\Theta
β\beta\betaλ\lambda\lambdaρ\rho\rhoε\varepsilon\varepsilonΓ\Gamma\GammaΥ\Upsilon\Upsilon
χ\chi\chiμ\mu\muσ\sigma\sigma?\varkappa\varkappaΛ\Lambda\LambdaΞ\Xi\Xi
δ\delta\deltaν\nu\nuτ\tau\tauφ\varphi\varphiΩ\Omega\Omega
?\epsilon\epsilonoooθ\theta\theta?\varpi\varpiΦ\Phi\Phi?\aleph\aleph
η\eta\etaω\omega\omegaυ\upsilon\upsilon?\varrho\varrhoΠ\Pi\Pi?\beth\beth
γ\gamma\gamma?\phi\phiξ\xi\xi?\varsigma\varsigmaΨ\Psi\Psi?\daleth\daleth
ι\iota\iotaπ\pi\piζ\zeta\zeta?\vartheta\varthetaΣ\Sigma\Sigma?\gimel\gimel

其它字母

:-:-:-:-:-:-:-:-:-:-
?\imath\imath?\nabla\nabla?\Im\ImR\Reals\Reals?\text{\OE}\text{\OE}
?\jmath\jmath?\partial\partial?\image\image?\wp\wp?\text{\o}\text{\o}
?\aleph\aleph?\Game\Gamek\Bbbk\Bbbk?\weierp\weierp?\text{\O}\text{\O}
?\alef\alef?\Finv\FinvN\N\NZ\Z\Z?\text{\ss}\text{\ss}
?\alefsym\alefsymC\cnums\cnumsN\natnums\natnumsa?\text{\aa}\text{\aa}?\text{\i}\text{\i}
?\beth\bethC\Complex\ComplexR\R\RA?\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}
e\eth\eth?\hslash\hslashR\reals\reals?\text{\oe}\text{\oe}

字母和 Unicode

預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法
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
?\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
?\phi\phiχ\chi\chiψ\psi\psiω\omega\omega
ε\varepsilon\varepsilon?\varkappa\varkappa?\vartheta\vartheta?\thetasym\thetasym
?\varpi\varpi?\varrho\varrho?\varsigma\varsigmaφ\varphi\varphi
?\digamma\digamma

注解

:-:-:-:-:-
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}
$an\$a_{\angl n} MD語法沖突$a_{\angl n}ana_\anglna_\angln
?78°\phase{-78^\circ}\phase{-78^\circ}

\tag{hi} x+y^{2x}

x+y2x(hi)\tag{hi} x+y^{2x}

\tag*{hi} x+y^{2x}

x+y2xhi\tag*{hi} x+y^{2x}

垂直布局

:-:-:-:-:-:-
xnx_nx_n=!\stackrel{!}{=}\stackrel{!}{=}aba \atop ba \atop b
exe^xe^x=!\overset{!}{=}\overset{!}{=}abca\raisebox{0.25em}{$b$}ca\raisebox{0.25em}{$b$}c
uo_u^o_u^o=!\underset{!}{=}\underset{!}{=}a+(abc)a+\left(\vcenter{\hbox{$\frac{\frac a b}c$}}\right)a+\left(\vcenter{\hbox{$\frac{\frac a b}c$}}\right)
0<i<m0<j<n\sum_{\substack{0<i<m\\0<j<n}}\sum_{\substack{0<i<m\\0<j<n}}

重疊和間距

:-:-:-:-
=/?{=}\mathllap{/\,} {=}\mathllap{/,}(x2)\left(x^{\smash{2}}\right)\left(x^{\smash{2}}\right)
?/=\mathrlap{\,/}{=} \mathrlap{,/}{=}y\sqrt{\smash[b]{y}}\sqrt{\smash[b]{y}}

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

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

LaTeX\LaTeX math constructs

預(yù)覽方法預(yù)覽方法預(yù)覽方法
abcxyz\frac{abc}{xyz}\frac{abc}{xyz}abc\overline{abc}\overline{abc}abc\overrightarrow{abc}\overrightarrow{abc}
ff'f'abc\underline{abc}\underline{abc}abc\overleftarrow{abc}\overleftarrow{abc}
abc\sqrt{abc}\sqrt{abc}abc^\widehat{abc}\widehat{abc}abc?\overbrace{abc}\overbrace{abc}
abcn\sqrt[n]{abc}\sqrt[n]{abc}abc~\widetilde{abc}\widetilde{abc}abc?\underbrace{abc}\underbrace{abc}

分隔符 Delimiters

預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法
()()()()\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語法沖突)\|\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

可以使用一對表達式 \left s1s_1\right s2s_2 來將分隔符 s1s_1s2s_2 的高度與其內(nèi)容的高度進行匹配,例如:

:-:-:-:-:-:-:-:-:-:-:-
\left|exprexpr\right|\left\{exprexpr\right\}\left\Vertexprexpr\right.

可變大小的符號

預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法
\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

標準函數(shù)名稱

預(yù)覽方法預(yù)覽方法預(yù)覽方法預(yù)覽方法
arccos?\arccos\arccosarcsin?\arcsin\arcsinarcsin?\arcsin\arcsinarg?\arg\arg
cos?\cos\coscosh?\cosh\coshcot?\cot\cotcoth?\coth\coth
csc?\csc\cscdeg?\deg\degdet?\det\detdim?\dim\dim
exp?\exp\expgcd?\gcd\gcdhom?\hom\hominf?\inf\inf
ker?\ker\kerlg?\lg\lglim?\lim\limlim?inf?\liminf\liminf
lim?sup?\limsup\limsupln?\ln\lnlog?\log\logmax?\max\max
min?\min\minPr?\Pr\Prsec?\sec\secsin?\sin\sin
sinh?\sinh\sinhsup?\sup\suptan?\tan\tantanh?\tanh\tanh

函數(shù)名應(yīng)該用羅馬字體,而不是斜體,例如:

:-:-:-:-
Correct:\tan(at-n\pi)\rightarrowtan?(at?nπ)\tan(at-n\pi)
Incorrect:tan(at-n\pi)\rightarrowtan(at?nπ)tan(at-n\pi)

邏輯與集合論

:-:-:-:-:-:-:-:-
?\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\lnot

:-:-:-:-
{?x??|??x<12?}\Set{ x | x<\frac 1 2 }\Set{ x | x<\frac 1 2 }{?xx<5?}\set{x|x<5}\set{x|x<5}

宏指令

:-:-:-:-
x2+x2\def\foo{x^2} \foo + \foo\def\foo{x^2} \foo + \fooy2+y2\gdef\bar#1{#1^2} \bar{y} + \bar{y}\gdef\bar#1{#1^2} \bar{y} + \bar{y}

特殊符號

:-:-:-:-:-:-
??\bra{\phi}\bra{\phi}ψ?\ket{\psi}\ket{\psi}??ψ?\braket{\phi|\psi}\braket{\phi|\psi}
??\Bra{\phi}\Bra{\phi}ψ?\Ket{\psi}\Ket{\psi}???|??2?t2?|?ψ?\Braket{ ? | \frac{?^2}{? t^2} | ψ }\Braket{ ? | \frac{?^2}{? t^2} | ψ }

運算符

數(shù)學(xué)運算符

:-:-:-:-:-:-:-:-
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\supf?\operatorname*{f}\operatorname*{f}
f?\operatornamewithlimits{f}\operatornamewithlimits{f}

大運算符

:-:-:-:-:-:-:-:-
\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

分數(shù)和二項式

:-:-:-:-
ab\frac{a}\frac{a}ab\tfrac{a}\tfrac{a}
ab{a \over b}{a \over b}ab\dfrac{a}\dfrac{a}
(aa+1]\genfrac ( ] {2pt}{1}a{a+1}\genfrac ( ] {2pt}{1}a{a+1}ab+1{a \above{2pt} b+1}{a \above{2pt} b+1}
a/ba/ba/ba1+1b\cfrac{a}{1 + \cfrac{1}}\cfrac{a}{1 + \cfrac{1}}
:-:-:-:-
(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}

\sqrt

:-:-:-:-
x\sqrt{x}\sqrt{x}x3\sqrt[3]{x}\sqrt[3]{x}

二元運算符

:-:-:-:-:-:-:-:-
+++?\cdot\cdot?\gtrdot\gtrdotx(moda)x \pmod ax \pmod a
?--?\cdotp\cdotp?\intercal\intercalx(a)x \pod ax \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 ax\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`

關(guān)系

關(guān)系

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

否定關(guān)系

:-:-:-:-:-:-:-:-
?\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 =

箭頭

:-:-:-:-:-:-
?\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

可擴展箭頭

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

符號和標點符號

符號和標點符號

:-:-:-:-:-:-
% comment% 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}\P?\star\star\diagup\diagup
§\text{\S}\text{\S}\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

Environments

Environments 1

abcd\begin{matrix}
   a & b \\
   c & d
\end{matrix}
\begin{matrix}
   a & b \\
   c & d
\end{matrix}

Environments 2

abcd\begin{array}{cc}
   a & b \\
   c & d
\end{array}
\begin{array}{cc}
   a & b \\
   c & d
\end{array}

Environments 3

(abcd)\begin{pmatrix}
   a & b \\
   c & d
\end{pmatrix}
\begin{pmatrix}
   a & b \\
   c & d
\end{pmatrix}

Environments 4

[abcd]\begin{bmatrix}
   a & b \\
   c & d
\end{bmatrix}
\begin{bmatrix}
   a & b \\
   c & d
\end{bmatrix}

Environments 5

abcd\begin{vmatrix}
   a & b \\
   c & d
\end{vmatrix}
\begin{vmatrix}
   a & b \\
   c & d
\end{vmatrix}

Environments 6

abcd\begin{Vmatrix}
   a & b \\
   c & d
\end{Vmatrix}
\begin{Vmatrix}
   a & b \\
   c & d
\end{Vmatrix}

Environments 7

{abcd}\begin{Bmatrix}
   a & b \\
   c & d
\end{Bmatrix}
\begin{Bmatrix}
   a & b \\
   c & d
\end{Bmatrix}

Environments 8

abcdefghi\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={aif?bcif?dx = \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

aif?bcif?d}?\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

abcd\begin{smallmatrix}
   a & b \\
   c & d
\end{smallmatrix}
\begin{smallmatrix}
   a & b \\
   c & d
\end{smallmatrix}

Environments 12

iΛ0<j<n\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

a=b+c=e+f\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

a=b+cd+e=f\begin{align}
   a&=b+c \\
   d+e&=f
\end{align}
\begin{align}
   a&=b+c \\
   d+e&=f
\end{align}

Environments 15

a=be=b+c\begin{gather}
   a=b \\
   e=b+c
\end{gather}
\begin{gather}
   a=b \\
   e=b+c
\end{gather}

Environments 16

10x+3y=23x+13y=4\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

AaBbcC=D\begin{CD}
   A @>a>> B \\
@VbVV @AAcA \\
   C @= D
\end{CD}
\begin{CD}
   A @>a>> B \\
@VbVV @AAcA \\
   C @= D
\end{CD}

樣式、顏色、大小和字體

Color 顏色

:-:-
F=ma\color{blue} F=ma\color{blue} F=ma
F=ma\textcolor{blue}{F=ma}\textcolor{blue}{F=ma}
F=ma\textcolor{#228B22}{F=ma}\textcolor{#228B22}{F=ma}
F=ma\colorbox{aqua}{$F=ma$}\colorbox{aqua}{$F=ma$}
F=ma\fcolorbox{red}{aqua}{$F=ma$}\fcolorbox{red}{aqua}{$F=ma$}

Font 字體

:-:-:-:-:-:-
AB\Huge AB\Huge ABAB\normalsize AB\normalsize ABAB\normalsize AB\normalsize AB
AB\huge AB\huge ABAB\huge AB\huge ABAB\small AB\small AB
AB\LARGE AB\LARGE ABAB\LARGE AB\LARGE ABAB\footnotesize AB\footnotesize AB
AB\Large AB\Large ABAB\Large AB\Large ABAB\scriptsize AB\scriptsize AB
AB\large AB\large ABAB\large AB\large ABAB\tiny AB\tiny AB

Style 樣式

:-:-:-:-
i=1n\displaystyle\sum_{i=1}^n\displaystyle\sum_{i=1}^ni=1n\textstyle\sum_{i=1}^n\textstyle\sum_{i=1}^n
x\scriptstyle x\scriptstyle xx\scriptscriptstyle x\scriptscriptstyle x
lim?x\lim\limits_x\lim\limits_xlim?x\lim\nolimits_x\lim\nolimits_x
x^2\verb!x^2!\verb!x^2!

另見