LaTeX 数学语法¶
提示：鼠标放到公式的位置，单击鼠标右键，选择 Show Math As，选择 TeX Commands，可以打开一个对话框，对话框中会显示 LaTex 代码。
函数、符号及特殊字符¶
声调/变音符号¶
| 代码 | 输出 |
|---|---|
\dot{a} |
\(\dot{a}\) |
\ddot{a} |
\(\ddot{a}\) |
\acute{a} |
\(\acute{a}\) |
\grave{a} |
\(\grave{a}\) |
\check{a} |
\(\check{a}\) |
\breve{a} |
\(\breve{a}\) |
\tilde{a} |
\(\tilde{a}\) |
\bar{a} |
\(\bar{a}\) |
\hat{a} |
\(\hat{a}\) |
\widehat{a} |
\(\widehat{a}\) |
\vec{a} |
\(\vec{a}\) |
标准函数¶
| 代码 | 输出 |
|---|---|
\exp_a b = a^b |
\(\exp_a b = a^b\) |
\exp b = e^b |
\(\exp b = e^b\) |
10^m |
\(10^m\) |
\ln c |
\(\ln c\) |
\lg d = \log e |
\(\lg d = \log e\) |
\log_{10} f |
\(\log_{10} f\) |
\sin a |
\(\sin a\) |
\cos b |
\(\cos b\) |
\tan c |
\(\tan c\) |
\cot d |
\(\cot d\) |
\sec e |
\(\sec e\) |
\csc f |
\(\csc f\) |
\arcsin a |
\(\arcsin a\) |
\arccos b |
\(\arccos b\) |
\arctan c |
\(\arctan c\) |
\arccot d |
\(\arccot d\) |
\arcsec e |
\(\arcsec e\) |
\arccsc f |
\(\arccsc f\) |
\sinh a |
\(\sinh a\) |
\cosh b |
\(\cosh b\) |
\tanh c |
\(\tanh c\) |
\coth d |
\(\coth d\) |
\operatorname{sh}k |
\(\operatorname{sh}k\) |
\operatorname{ch}l |
\(\operatorname{ch}l\) |
\operatorname{th}m |
\(\operatorname{th}m\) |
\operatorname{coth}n |
\(\operatorname{coth}n\) |
\operatorname{argsh}o |
\(\operatorname{argsh}o\) |
\operatorname{argch}p |
\(\operatorname{argch}p\) |
\operatorname{argth}q |
\(\operatorname{argth}q\) |
\sgn r |
\(\sgn r\) |
\left\vert s \right\vert |
\(\left\vert s \right\vert\) |
\min(x,y) |
\(\min(x,y)\) |
\max(x,y) |
\(\max(x,y)\) |
界限¶
| 代码 | 输出 |
|---|---|
\min x |
\(\min x\) |
\max y |
\(\max y\) |
\inf s |
\(\inf s\) |
\sup t |
\(\sup t\) |
\lim u |
\(\lim u\) |
\liminf v |
\(\liminf v\) |
\limsup w |
\(\limsup w\) |
\dim p |
\(\dim p\) |
\deg q |
\(\deg q\) |
\det m |
\(\det m\) |
\ker\phi |
\(\ker\phi\) |
投射¶
| 代码 | 输出 |
|---|---|
\Pr j |
\(\Pr j\) |
\hom l |
\(\hom l\) |
\lVert z \rVert |
\(\lVert z \rVert\) |
\arg z |
\(\arg z\) |
微分及导数¶
| 代码 | 输出 |
|---|---|
dt |
\(dt\) |
\mathrm{d}t |
\(\mathrm{d}t\) |
\partial t |
\(\partial t\) |
\nabla\psi |
\(\nabla\psi\) |
dy/dx |
\(dy/dx\) |
\mathrm{d}y/\mathrm{d}x |
\(\mathrm{d}y/\mathrm{d}x\) |
\frac{dy}{dx} |
\(\frac{dy}{dx}\) |
\frac{\mathrm{d}y}{\mathrm{d}x} |
\(\frac{\mathrm{d}y}{\mathrm{d}x}\) |
\frac{\partial^2}{\partial x_1\partial x_2}y |
\(\frac{\partial^2}{\partial x_1\partial x_2}y\) |
\prime |
\(\prime\) |
\backprime |
\(\backprime\) |
f^\prime |
\(f^\prime\) |
f' |
\(f'\) |
f'' |
\(f''\) |
f^{(3)} |
\(f^{(3)}\) |
\dot y |
\(\dot y\) |
\ddot y |
\(\ddot y\) |
类字母符号及常数¶
\infty |
\(\infty\) |
\aleph |
\(\aleph\) |
\complement |
\(\complement\) |
\backepsilon |
\(\backepsilon\) |
\eth |
\(\eth\) |
\Finv |
\(\Finv\) |
\hbar |
\(\hbar\) |
\Im |
\(\Im\) |
\imath |
\(\imath\) |
\jmath |
\(\jmath\) |
\Bbbk |
\(\Bbbk\) |
\ell |
\(\ell\) |
\mho |
\(\mho\) |
\wp |
\(\wp\) |
\Re |
\(\Re\) |
\circledS |
\(\circledS\) |
\S |
\(\S\) |
\P |
\(\P\) |
\AA |
\(\AA\) |
模算数¶
| 代码 | 输出 |
|---|---|
s_k \equiv 0 \pmod{m} |
\(s_k \equiv 0 \pmod{m}\) |
a \bmod b |
\(a \bmod b\) |
\gcd(m, n) |
\(\gcd(m, n)\) |
\operatorname{lcm}(m, n) |
\(\operatorname{lcm}(m, n)\) |
\mid |
\(\mid\) |
\nmid |
\(\nmid\) |
\shortmid |
\(\shortmid\) |
\nshortmid |
\(\nshortmid\) |
根号¶
| 代码 | 输出 |
|---|---|
\surd |
\(\surd\) |
\sqrt{2} |
\(\sqrt{2}\) |
\sqrt[n]{} |
\(\sqrt[n]{}\) |
\sqrt[3]{\frac{x^3+y^3}{2}} |
\(\sqrt[3]{\frac{x^3+y^3}{2}}\) |
运算符¶
| 代码 | 输出 |
|---|---|
+ |
\(+\) |
- |
\(-\) |
\pm |
\(\pm\) |
\mp |
\(\mp\) |
\dotplus |
\(\dotplus\) |
\times |
\(\times\) |
\div |
\(\div\) |
\divideontimes |
\(\divideontimes\) |
/ |
\(/\) |
\backslash |
\(\backslash\) |
\cdot |
\(\cdot\) |
* \ast |
\(* \ast\) |
\star |
\(\star\) |
\circ |
\(\circ\) |
\bullet |
\(\bullet\) |
\boxplus |
\(\boxplus\) |
\boxminus |
\(\boxminus\) |
\boxtimes |
\(\boxtimes\) |
\boxdot |
\(\boxdot\) |
\oplus |
\(\oplus\) |
\ominus |
\(\ominus\) |
\otimes |
\(\otimes\) |
\oslash |
\(\oslash\) |
\odot |
\(\odot\) |
\circleddash |
\(\circleddash\) |
\circledcirc |
\(\circledcirc\) |
\circledast |
\(\circledast\) |
\bigoplus |
\(\bigoplus\) |
\bigotimes |
\(\bigotimes\) |
\bigodot |
\(\bigodot\) |
集合¶
| 代码 | 输出 |
|---|---|
\{ \} |
\(\{ \}\) |
\O \empty \emptyset |
\(\emptyset\emptyset\emptyset\) |
\varnothing |
\(\varnothing\) |
\in |
\(\in\) |
\notin |
\(\notin\) |
\not\in |
\(\not\in\) |
\ni |
\(\ni\) |
\not\ni |
\(\not\ni\) |
\cap |
\(\cap\) |
\Cap |
\(\Cap\) |
\sqcap |
\(\sqcap\) |
\bigcap |
\(\bigcap\) |
\cup |
\(\cup\) |
\Cup |
\(\Cup\) |
\sqcup |
\(\sqcup\) |
\bigcup |
\(\bigcup\) |
\bigsqcup |
\(\bigsqcup\) |
\uplus |
\(\uplus\) |
\biguplus |
\(\biguplus\) |
\setminus |
\(\setminus\) |
\smallsetminus |
\(\smallsetminus\) |
\times |
\(\times\) |
\subset |
\(\subset\) |
\Subset |
\(\Subset\) |
\sqsubset |
\(\sqsubset\) |
\supset |
\(\supset\) |
\Supset |
\(\Supset\) |
\sqsupset |
\(\sqsupset\) |
\subseteq |
\(\subseteq\) |
\nsubseteq |
\(\nsubseteq\) |
\subsetneq |
\(\subsetneq\) |
\varsubsetneq |
\(\varsubsetneq\) |
\sqsubseteq |
\(\sqsubseteq\) |
\supseteq |
\(\supseteq\) |
\nsupseteq |
\(\nsupseteq\) |
\supsetneq |
\(\supsetneq\) |
\varsupsetneq |
\(\varsupsetneq\) |
\sqsupseteq |
\(\sqsupseteq\) |
\subseteqq |
\(\subseteqq\) |
\nsubseteqq |
\(\nsubseteqq\) |
\subsetneqq |
\(\subsetneqq\) |
\varsubsetneqq |
\(\varsubsetneqq\) |
\supseteqq |
\(\supseteqq\) |
\nsupseteqq |
\(\nsupseteqq\) |
\supsetneqq |
\(\supsetneqq\) |
\varsupsetneqq |
\(\varsupsetneqq\) |
关系符号¶
| 代码 | 输出 |
|---|---|
= |
\(=\) |
\ne |
\(\ne\) |
\neq |
\(\neq\) |
\equiv |
\(\equiv\) |
\not\equiv |
\(\not\equiv\) |
\doteq |
\(\doteq\) |
\doteqdot |
\(\doteqdot\) |
\overset{\underset{\mathrm{def}}{}}{=} |
\(\overset{\underset{\mathrm{def}}{}}{=}\) |
:= |
\(:=\) |
\sim |
\(\sim\) |
\nsim |
\(\nsim\) |
\backsim |
\(\backsim\) |
\thicksim |
\(\thicksim\) |
\simeq |
\(\simeq\) |
\backsimeq |
\(\backsimeq\) |
\eqsim |
\(\eqsim\) |
\cong |
\(\cong\) |
\ncong |
\(\ncong\) |
\approx |
\(\approx\) |
\thickapprox |
\(\thickapprox\) |
\approxeq |
\(\approxeq\) |
\asymp |
\(\asymp\) |
\propto |
\(\propto\) |
\varpropto |
\(\varpropto\) |
< |
\(<\) |
\nless |
\(\nless\) |
\ll |
\(\ll\) |
\not\ll |
\(\not\ll\) |
\lll |
\(\lll\) |
\not\lll |
\(\not\lll\) |
\lessdot |
\(\lessdot\) |
> |
\(>\) |
\ngtr |
\(\ngtr\) |
\gg |
\(\gg\) |
\not\gg |
\(\not\gg\) |
\ggg |
\(\ggg\) |
\not\ggg |
\(\not\ggg\) |
\gtrdot |
\(\gtrdot\) |
\le |
\(\le\) |
\leq |
\(\leq\) |
\lneq |
\(\lneq\) |
\leqq |
\(\leqq\) |
\nleq |
\(\nleq\) |
\nleqq |
\(\nleqq\) |
\lneqq |
\(\lneqq\) |
\lvertneqq |
\(\lvertneqq\) |
\ge |
\(\ge\) |
\geq |
\(\geq\) |
\gneq |
\(\gneq\) |
\geqq |
\(\geqq\) |
\ngeq |
\(\ngeq\) |
\ngeqq |
\(\ngeqq\) |
\gneqq |
\(\gneqq\) |
\gvertneqq |
\(\gvertneqq\) |
\lessgtr |
\(\lessgtr\) |
\lesseqgtr |
\(\lesseqgtr\) |
\lesseqqgtr |
\(\lesseqqgtr\) |
\gtrless |
\(\gtrless\) |
\gtreqless |
\(\gtreqless\) |
\gtreqqless |
\(\gtreqqless\) |
\leqslant |
\(\leqslant\) |
\nleqslant |
\(\nleqslant\) |
\eqslantless |
\(\eqslantless\) |
\geqslant |
\(\geqslant\) |
\ngeqslant |
\(\ngeqslant\) |
\eqslantgtr |
\(\eqslantgtr\) |
\lesssim |
\(\lesssim\) |
\lnsim |
\(\lnsim\) |
\lessapprox |
\(\lessapprox\) |
\lnapprox |
\(\lnapprox\) |
\gtrsim |
\(\gtrsim\) |
\gnsim |
\(\gnsim\) |
\gtrapprox |
\(\gtrapprox\) |
\gnapprox |
\(\gnapprox\) |
\prec |
\(\prec\) |
\nprec |
\(\nprec\) |
\preceq |
\(\preceq\) |
\npreceq |
\(\npreceq\) |
\precneqq |
\(\precneqq\) |
\succ |
\(\succ\) |
\nsucc |
\(\nsucc\) |
\succeq |
\(\succeq\) |
\nsucceq |
\(\nsucceq\) |
\succneqq |
\(\succneqq\) |
\preccurlyeq |
\(\preccurlyeq\) |
\curlyeqprec |
\(\curlyeqprec\) |
\succcurlyeq |
\(\succcurlyeq\) |
\curlyeqsucc |
\(\curlyeqsucc\) |
\precsim |
\(\precsim\) |
\precnsim |
\(\precnsim\) |
\precapprox |
\(\precapprox\) |
\precnapprox |
\(\precnapprox\) |
\succsim |
\(\succsim\) |
\succnsim |
\(\succnsim\) |
\succapprox |
\(\succapprox\) |
\succnapprox |
\(\succnapprox\) |
几何符号¶
| 代码 | 输出 |
|---|---|
\parallel |
\(\parallel\) |
\nparallel |
\(\nparallel\) |
\shortparallel |
\(\shortparallel\) |
\nshortparallel |
\(\nshortparallel\) |
\perp |
\(\perp\) |
\angle |
\(\angle\) |
\sphericalangle |
\(\sphericalangle\) |
\measuredangle |
\(\measuredangle\) |
45^\circ |
\(45^\circ\) |
\Box |
\(\Box\) |
\blacksquare |
\(\blacksquare\) |
\diamond |
\(\diamond\) |
\Diamond \lozenge |
\(\Diamond \lozenge\) |
\blacklozenge |
\(\blacklozenge\) |
\bigstar |
\(\bigstar\) |
\bigcirc |
\(\bigcirc\) |
\triangle |
\(\triangle\) |
\bigtriangleup |
\(\bigtriangleup\) |
\bigtriangledown |
\(\bigtriangledown\) |
\vartriangle |
\(\vartriangle\) |
\triangledown |
\(\triangledown\) |
\blacktriangle |
\(\blacktriangle\) |
\blacktriangledown |
\(\blacktriangledown\) |
\blacktriangledown |
\(\blacktriangledown\) |
\blacktriangleright |
\(\blacktriangleright\) |
逻辑符号¶
| 代码 | 输出 |
|---|---|
\forall |
\(\forall\) |
\exists |
\(\exists\) |
\nexists |
\(\nexists\) |
\therefore |
\(\therefore\) |
\because |
\(\because\) |
\And |
\(\And\) |
\lor \vee |
\(\lor \ \vee\) |
\curlyvee |
\(\curlyvee\) |
\bigvee |
\(\bigvee\) |
\land \wedge |
\(\land \ \wedge\) |
\curlywedge |
\(\curlywedge\) |
\bigwedge |
\(\bigwedge\) |
\bar{q} |
\(\bar{q}\) |
\bar{abc} |
\(\bar{abc}\) |
\overline{q} |
\(\overline{q}\) |
\overline{abc} |
\(\overline{abc}\) |
\lnot \neg |
\(\lnot \ \neg\) |
\not\operatorname{R} |
\(\not\operatorname{R}\) |
\bot |
\(\bot\) |
\top |
\(\top\) |
\vdash \dashv |
\(\vdash \dashv\) |
\vDash |
\(\vDash\) |
\Vdash |
\(\Vdash\) |
\models |
\(\models\) |
\Vvdash |
\(\Vvdash\) |
\nvdash |
\(\nvdash\) |
\nVdash |
\(\nVdash\) |
\nvDash |
\(\nvDash\) |
\nVDash |
\(\nVDash\) |
\ulcorner |
\(\ulcorner\) |
\urcorner |
\(\urcorner\) |
\llcorner |
\(\llcorner\) |
\lrcorner |
\(\lrcorner\) |
箭头¶
| 代码 | 输出 |
|---|---|
\Rrightarrow |
\(\Rrightarrow\) |
\Lleftarrow |
\(\Lleftarrow\) |
\Rightarrow |
\(\Rightarrow\) |
\nRightarrow |
\(\nRightarrow\) |
\Longrightarrow |
\(\Longrightarrow\) |
\implies |
\(\implies\) |
\Leftarrow |
\(\Leftarrow\) |
\nLeftarrow |
\(\nLeftarrow\) |
\Longleftarrow |
\(\Longleftarrow\) |
\Leftrightarrow |
\(\Leftrightarrow\) |
\nLeftrightarrow |
\(\nLeftrightarrow\) |
\Longleftrightarrow |
\(\Longleftrightarrow\) |
\iff |
\(\iff\) |
\Uparrow |
\(\Uparrow\) |
\Downarrow |
\(\Downarrow\) |
\Updownarrow |
\(\Updownarrow\) |
\rightarrow \to |
\(\rightarrow \to\) |
\nrightarrow |
\(\nrightarrow\) |
\longrightarrow |
\(\longrightarrow\) |
\leftarrow \gets |
\(\leftarrow \gets\) |
\nleftarrow |
\(\nleftarrow\) |
\longleftarrow |
\(\longleftarrow\) |
\leftrightarrow |
\(\leftrightarrow\) |
\nleftrightarrow |
\(\nleftrightarrow\) |
\longleftrightarrow |
\(\longleftrightarrow\) |
\uparrow |
\(\uparrow\) |
\downarrow |
\(\downarrow\) |
\updownarrow |
\(\updownarrow\) |
\nearrow |
\(\nearrow\) |
\swarrow |
\(\swarrow\) |
\nwarrow |
\(\nwarrow\) |
\searrow |
\(\searrow\) |
\mapsto |
\(\mapsto\) |
\longmapsto |
\(\longmapsto\) |
\rightharpoonup |
\(\rightharpoonup\) |
\rightharpoondown |
\(\rightharpoondown\) |
\leftharpoonup |
\(\leftharpoonup\) |
\leftharpoondown |
\(\leftharpoondown\) |
\upharpoonleft |
\(\upharpoonleft\) |
\upharpoonright |
\(\upharpoonright\) |
\downharpoonleft |
\(\downharpoonleft\) |
\downharpoonright |
\(\downharpoonright\) |
\rightleftharpoons |
\(\rightleftharpoons\) |
\leftrightharpoons |
\(\leftrightharpoons\) |
\curvearrowleft |
\(\curvearrowleft\) |
\circlearrowleft |
\(\circlearrowleft\) |
\Lsh |
\(\Lsh\) |
\upuparrows |
\(\upuparrows\) |
\rightrightarrows |
\(\rightrightarrows\) |
\rightleftarrows |
\(\rightleftarrows\) |
\rightarrowtail |
\(\rightarrowtail\) |
\looparrowright |
\(\looparrowright\) |
\curvearrowright |
\(\curvearrowright\) |
\circlearrowright |
\(\circlearrowright\) |
\Rsh |
\(\Rsh\) |
\downdownarrows |
\(\downdownarrows\) |
\leftleftarrows |
\(\leftleftarrows\) |
\leftarrowtail |
\(\leftarrowtail\) |
\looparrowleft |
\(\looparrowleft\) |
\hookrightarrow |
\(\hookrightarrow\) |
\hookleftarrow |
\(\hookleftarrow\) |
\multimap |
\(\multimap\) |
\leftrightsquigarrow |
\(\leftrightsquigarrow\) |
\rightsquigarrow |
\(\rightsquigarrow\) |
\twoheadrightarrow |
\(\twoheadrightarrow\) |
\twoheadleftarrow |
\(\twoheadleftarrow\) |
此外还有几个可以在箭头上下方写字的箭头。
| 代码 | 输出 |
|---|---|
\xleftarrow[下方公式]{上方公式} |
\(A\xleftarrow[下方公式]{上方公式}B\) |
\xrightarrow[下方公式]{上方公式} |
\(A\xrightarrow[下方公式]{上方公式}B\) |
\underrightarrow{演示} |
\(\underrightarrow{A 演示 B}\) |
\underleftarrow{演示} |
\(\underleftarrow{A 演示 B}\) |
\underleftrightarrow{演示} |
\(\underleftrightarrow{A 演示 B}\) |
特殊符号¶
| 代码 | 输出 |
|---|---|
\amalg |
\(\amalg\) |
\P |
\(\P\) |
\S |
\(\S\) |
\% |
\(\%\) |
\dagger |
\(\dagger\) |
\ddagger |
\(\ddagger\) |
\ldots |
\(\ldots\) |
\cdots |
\(\cdots\) |
\smile |
\(\smile\) |
\frown |
\(\frown\) |
\wr |
\(\wr\) |
\triangleleft |
\(\triangleleft\) |
\triangleright |
\(\triangleright\) |
\diamondsuit |
\(\diamondsuit\) |
\heartsuit |
\(\heartsuit\) |
\clubsuit |
\(\clubsuit\) |
\spadesuit |
\(\spadesuit\) |
\Game |
\(\Game\) |
\flat |
\(\flat\) |
\natural |
\(\natural\) |
\sharp |
\(\sharp\) |
未排序¶
| 代码 | 输出 |
|---|---|
\diagup |
\(\diagup\) |
\diagdown |
\(\diagdown\) |
\centerdot |
\(\centerdot\) |
\ltimes |
\(\ltimes\) |
\rtimes |
\(\rtimes\) |
\leftthreetimes |
\(\leftthreetimes\) |
\rightthreetimes |
\(\rightthreetimes\) |
\eqcirc |
\(\eqcirc\) |
\circeq |
\(\circeq\) |
\triangleq |
\(\triangleq\) |
\bumpeq |
\(\bumpeq\) |
\Bumpeq |
\(\Bumpeq\) |
\doteqdot |
\(\doteqdot\) |
\risingdotseq |
\(\risingdotseq\) |
\fallingdotseq |
\(\fallingdotseq\) |
\intercal |
\(\intercal\) |
\barwedge |
\(\barwedge\) |
\veebar |
\(\veebar\) |
\doublebarwedge |
\(\doublebarwedge\) |
\between |
\(\between\) |
\pitchfork |
\(\pitchfork\) |
\vartriangleleft |
\(\vartriangleleft\) |
\ntriangleleft |
\(\ntriangleleft\) |
\vartriangleright |
\(\vartriangleright\) |
\ntriangleright |
\(\ntriangleright\) |
\trianglelefteq |
\(\trianglelefteq\) |
\ntrianglelefteq |
\(\ntrianglelefteq\) |
\trianglerighteq |
\(\trianglerighteq\) |
\ntrianglerighteq |
\(\ntrianglerighteq\) |
\not6 |
\(\not6\) |
\frac{1\not6}{\not64}=\frac{1}{4} |
\(\frac{1\not6}{\not64}=\frac{1}{4}\) |
上标、下标及积分等¶
| 含义 | 代码 | 输出 |
|---|---|---|
| 上标 | a^2 |
\(a^2\) |
| 下标 | a_2 |
\(a_2\) |
| 组合 | a^{2+2} a_{i,j} |
\(a^{2+2}\) \(a_{i,j}\) |
| 结合上下标 | x_2^3' |
\(x_2^3\) |
| 前置上下标 | {}_1^2\!X_3^4 |
\({}_1^2\!X_3^4\) |
| 导数（HTML） | x' |
\(x'\) |
| 导数（PNG） | x^\prime |
\(x^\prime\) |
| 导数（错误） | x\prime |
\(x\prime\) |
| 导数点 | \dot{x} \ddot{y} |
\(\dot{x}\) \(\ddot{y}\) |
| 向量 | \vec{c} \overleftarrow{a b} \overrightarrow{c d} \overleftrightarrow{a b} \widehat{e f g} |
\(\vec{c}\) \(\overleftarrow{a b}\) \(\overrightarrow{c d}\) \(\overleftrightarrow{a b}\) \(\widehat{e f g}\) |
| 上弧（注: 正确应该用 \overarc，但在这里行不通。 要用建议的语法作为解决办法。） （使用\overarc时需要引入{arcs}套件。） |
\overset{\frown} {AB} |
\(\overset{\frown} {AB}\) |
| 上划线 | \overline{h i j} |
\(\overline{h i j}\) |
| 下划线 | \underline{k l m} |
\(\underline{k l m}\) |
| 上括号 | \overbrace{1+2+\cdots+100} \overbrace{ 1+2+\cdots+100 }^{5050} |
\(\overbrace{1+2+\cdots+100}\) \(\overbrace{ 1+2+\cdots+100 }^{5050}\) |
| 下括号 | \underbrace{a+b+\cdots+z} \underbrace{ a+b+\cdots+z }_{26} |
\(\underbrace{a+b+\cdots+z}\) \(\underbrace{ a+b+\cdots+z }_{26}\) |
| 求和 | \sum_{k=1}^N k^2 \begin{matrix} \sum_{k=1}^N k^2 \end{matrix} |
\(\sum_{k=1}^N k^2\) \(\begin{matrix} \sum_{k=1}^N k^2 \end{matrix}\) |
| 求积 | \prod_{i=1}^N x_i \begin{matrix} \prod_{i=1}^N x_i \end{matrix} |
\(\prod_{i=1}^N x_i\) \(\begin{matrix} \prod_{i=1}^N x_i \end{matrix}\) |
| 上积 | \coprod_{i=1}^N x_i \begin{matrix} \coprod_{i=1}^N x_i \end{matrix} |
\(\coprod_{i=1}^N x_i\) \(\begin{matrix} \coprod_{i=1}^N x_i \end{matrix}\) |
| 极限 | \lim_{n \to \infty}x_n \begin{matrix} \lim_{n \to \infty}x_n \end{matrix} |
\(\lim_{n \to \infty}x_n\) \(\begin{matrix} \lim_{n \to \infty}x_n \end{matrix}\) |
| 积分 | \int_{-N}^{N} e^x\, \mathrm{d}x \begin{matrix} \int_{-N}^{N} e^x\, \mathrm{d}x \end{matrix} |
\(\int_{-N}^{N} e^x\, \mathrm{d}x\) \(\begin{matrix} \int_{-N}^{N} e^x\, \mathrm{d}x \end{matrix}\) |
| 双重积分 | \iint_{D}^{W} \mathrm{d}x\ \mathrm{d}y |
\(\iint_{D}^{W}\) \(\mathrm{d}x\) \(\mathrm{d}y\) |
| 三重积分 | \iiint_{E}^{V} \mathrm{d}x \mathrm{d}y \mathrm{d}z |
\(\iiint_{E}^{V}\) \(\mathrm{d}x\) \(\mathrm{d}y\) \(\mathrm{d}z\) |
| 四重积分 | \iiiint_{F}^{U} \mathrm{d}x \mathrm{d}y \mathrm{d}z \mathrm{d}t |
\(\iiiint_{F}^{U}\) \(\mathrm{d}x\) \(\mathrm{d}y\) \(\mathrm{d}z\) \(\mathrm{d}t\) |
| 闭合的曲线积分、曲面积分 | \oint_{C} x^3\ \mathrm{d}x + 4y^2 \mathrm{d}y |
\(\oint_{C} x^3\) \(\mathrm{d}x + 4y^2\) \(\mathrm{d}y\) |
| 交集 | \bigcap_1^{n} p |
\(\bigcap_1^{n} p\) |
| 并集 | \bigcup_1^{k} p |
\(\bigcup_1^{k} p\) |
分数、矩阵和多行列式¶
| 含义 | 代码 | 输出 |
|---|---|---|
| 分数 | \frac{2}{4}=0.5 {2 \over 3} {{a+b} \over {a-b}} |
\(\frac{2}{4}=0.5\) \({2 \over 3}\) \({{a+b} \over {a-b}}\) |
| 小型分数 | \tfrac{2}{4} = 0.5 |
\(\tfrac{2}{4} = 0.5\) |
| 大型分数（嵌套） | \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a |
\(\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a\) |
| 大型分数（不嵌套 | \dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a |
\(\dfrac{2}{4} = 0.5\) \(\qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a\) |
| 二项式系数 | \dbinom{n}{r}=\binom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r} n \choose n-r n^2 \choose r_1 a-b \choose c+d {n \choose 0}+{n \choose 1} |
\(\dbinom{n}{r}=\binom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}\) \(n \choose n-r\) \(n^2 \choose r_1\) \(a-b \choose c+d\) \({n \choose 0}+{n \choose 1}\) |
| 小型二项式系数 | \tbinom{n}{r}=\tbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r} |
\(\tbinom{n}{r}=\tbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}\) |
| 大型二项式系数 | \binom{n}{r}=\dbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r} |
\(\binom{n}{r}=\dbinom{n}{n-r}=\mathrm{C}_n^r=\mathrm{C}_n^{n-r}\) |
| 矩阵 | \begin{matrix} x & y \\ z & v \end{matrix}\begin{vmatrix} x & y \\ z & v \end{vmatrix}\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix} \begin{Bmatrix} x & y \\ z & v \end{Bmatrix}\begin{pmatrix} x & y \\ z & v \end{pmatrix}\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) |
\(\begin{matrix} x & y \\ z & v \end{matrix}\) \(\begin{vmatrix} x & y \\ z & v \end{vmatrix}\) \(\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}\) \(\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix}\) \(\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}\) \(\begin{pmatrix} x & y \\ z & v \end{pmatrix}\) \(\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)\) |
| 条件定义 | f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} |
\(f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}\) |
| 多行等式、同馀式 | \begin{align} f(x) & = (m+n)^2 \\ & = m^2+2mn+n^2 \\ \end{align} \begin{align} 3^{6n+3}+4^{6n+3} & \equiv (3^3)^{2n+1}+(4^3)^{2n+1}\\ & \equiv 27^{2n+1}+64^{2n+1}\\ & \equiv 27^{2n+1}+(-27)^{2n+1}\\ & \equiv 27^{2n+1}-27^{2n+1}\\ & \equiv 0 \pmod{91}\\ \end{align} \begin{alignat}{3} f(x) & = (m-n)^2 \\ f(x) & = (-m+n)^2 \\ & = m^2-2mn+n^2 \\ \end{alignat} |
\(\begin{align} f(x) & = (m+n)^2 \\ & = m^2+2mn+n^2 \\ \end{align}\) \(\begin{align} 3^{6n+3}+4^{6n+3} & \equiv (3^3)^{2n+1}+(4^3)^{2n+1}\\ & \equiv 27^{2n+1}+64^{2n+1}\\ & \equiv 27^{2n+1}+(-27)^{2n+1}\\ & \equiv 27^{2n+1}-27^{2n+1}\\ & \equiv 0 \pmod{91}\\ \end{align}\) \(\begin{alignat}{3} f(x) & = (m-n)^2 \\ f(x) & = (-m+n)^2 \\ & = m^2-2mn+n^2 \\ \end{alignat}\) |
| 多行等式（左对齐） | \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
\(\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}\) |
| 多行等式（右对齐） | \begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
\(\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}\) |
| 长公式换行 | <math>f(x) \,\!</math> <math>= \sum_{n=0}^\infty a_n x^n </math> <math>= a_0+a_1x+a_2x^2+\cdots</math> |
\(f(x)=\sum_{n=0}^{\infty} a_{n} x^{n}=a_{0}+a_{1} x+a_{2} x^{2}+\cdots\) |
| 方程组 | \begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases} |
\(\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}\) |
| 数组 | \begin{array}{} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array} |
\(\begin{array}{} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}\) |
字体¶
希腊字母¶
| 代码 | 输出 |
|---|---|
\alpha |
\(\alpha\) |
\beta |
\(\beta\) |
\theta |
\(\theta\) |
o |
\(o\) |
\tau |
\(\tau\) |
\vartheta |
\(\vartheta\) |
\pi |
\(\pi\) |
\upsilon |
\(\upsilon\) |
\gamma |
\(\gamma\) |
\iota |
\(\iota\) |
\varpi |
\(\varpi\) |
\phi |
\(\phi\) |
\delta |
\(\delta\) |
\kappa |
\(\kappa\) |
\rho |
\(\rho\) |
\varphi |
\(\varphi\) |
\epsilon |
\(\epsilon\) |
\lambda |
\(\lambda\) |
\varrho |
\(\varrho\) |
\chi |
\(\chi\) |
\varepsilon |
\(\varepsilon\) |
\mu |
\(\mu\) |
\sigma |
\(\sigma\) |
\psi |
\(\psi\) |
\zeta |
\(\zeta\) |
\nu |
\(\nu\) |
\varsigma |
\(\varsigma\) |
\omega |
\(\omega\) |
\eta |
\(\eta\) |
\xi |
\(\xi\) |
\Gamma |
\(\Gamma\) |
\Lambda |
\(\Lambda\) |
\Sigma |
\(\Sigma\) |
\Psi |
\(\Psi\) |
\Delta |
\(\Delta\) |
\Xi |
\(\Xi\) |
\Upsilon |
\(\Upsilon\) |
\Omega |
\(\Omega\) |
\Theta |
\(\Theta\) |
\Pi |
\(\Pi\) |
\Phi |
\(\Phi\) |
希伯来符号¶
| 代码 | 输出 |
|---|---|
\aleph |
\(\aleph\) |
\beth |
\(\beth\) |
\gimel |
\(\gimel\) |
\daleth |
\(\daleth\) |
黑板报粗体¶
| 代码 | 输出 |
|---|---|
\mathbb{ABCDEFGHI} |
\(\mathbb{ABCDEFGHI}\) |
\mathbb{JKLMNOPQR} |
\(\mathbb{JKLMNOPQR}\) |
\mathbb{STUVWXYZ} |
\(\mathbb{STUVWXYZ}\) |
粗体¶
| 代码 | 输出 |
|---|---|
\mathbf{ABCDEFGHI} |
\(\mathbf{ABCDEFGHI}\) |
\mathbf{JKLMNOPQR} |
\(\mathbf{JKLMNOPQR}\) |
\mathbf{STUVWXYZ} |
\(\mathbf{STUVWXYZ}\) |
\mathbf{abcdefghijklm} |
\(\mathbf{abcdefghijklm}\) |
\mathbf{nopqrstuvwxyz} |
\(\mathbf{nopqrstuvwxyz}\) |
\mathbf{0123456789} |
\(\mathbf{0123456789}\) |
粗体希腊字母¶
| 代码 | 输出 |
|---|---|
\boldsymbol{\Alpha\Beta\Gamma\Delta\Epsilon\Zeta\Eta\Theta} |
\(\boldsymbol{\Alpha\Beta\Gamma\Delta\Epsilon\Zeta\Eta\Theta}\) |
\boldsymbol{\Iota\Kappa\Lambda\Mu\Nu\Xi\Pi\Rho} |
\(\boldsymbol{\Iota\Kappa\Lambda\Mu\Nu\Xi\Pi\Rho}\) |
\boldsymbol{\Sigma\Tau\Upsilon\Phi\Chi\Psi\Omega} |
\(\boldsymbol{\Sigma\Tau\Upsilon\Phi\Chi\Psi\Omega}\) |
\boldsymbol{\alpha\beta\gamma\delta\epsilon\zeta\eta\theta} |
\(\boldsymbol{\alpha\beta\gamma\delta\epsilon\zeta\eta\theta}\) |
\boldsymbol{\iota\kappa\lambda\mu\nu\xi\pi\rho} |
\(\boldsymbol{\iota\kappa\lambda\mu\nu\xi\pi\rho}\) |
\boldsymbol{\sigma\tau\upsilon\phi\chi\psi\omega} |
\(\boldsymbol{\sigma\tau\upsilon\phi\chi\psi\omega}\) |
\boldsymbol{\varepsilon\digamma\varkappa\varpi} |
\(\boldsymbol{\varepsilon\digamma\varkappa\varpi}\) |
\boldsymbol{\varrho\varsigma\vartheta\varphi} |
\(\boldsymbol{\varrho\varsigma\vartheta\varphi}\) |
斜体（拉丁字母默认）¶
| 代码 | 输出 |
|---|---|
\mathit{0123456789} |
\(\mathit{0123456789}\) |
斜体希腊字母（小写字母默认）¶
| 代码 | 输出 |
|---|---|
\mathit{\Alpha\Beta\Gamma\Delta\Epsilon\Zeta\Eta\Theta} |
\(\mathit{\Alpha\Beta\Gamma\Delta\Epsilon\Zeta\Eta\Theta}\) |
\mathit{\Iota\Kappa\Lambda\Mu\Nu\Xi\Pi\Rho} |
\(\mathit{\Iota\Kappa\Lambda\Mu\Nu\Xi\Pi\Rho}\) |
\mathit{\Sigma\Tau\Upsilon\Phi\Chi\Psi\Omega} |
\(\mathit{\Sigma\Tau\Upsilon\Phi\Chi\Psi\Omega}\) |
罗马体¶
| 代码 | 输出 |
|---|---|
\mathrm{ABCDEFGHI} |
\(\mathrm{ABCDEFGHI}\) |
\mathrm{JKLMNOPQR} |
\(\mathrm{JKLMNOPQR}\) |
\mathrm{STUVWXYZ} |
\(\mathrm{STUVWXYZ}\) |
\mathrm{abcdefghijklm} |
\(\mathrm{abcdefghijklm}\) |
\mathrm{nopqrstuvwxyz} |
\(\mathrm{nopqrstuvwxyz}\) |
\mathrm{0123456789} |
\(\mathrm{0123456789}\) |
无衬线体¶
| 代码 | 输出 |
|---|---|
\mathsf{ABCDEFGHI} |
\(\mathsf{ABCDEFGHI}\) |
\mathsf{JKLMNOPQR} |
\(\mathsf{JKLMNOPQR}\) |
\mathsf{STUVWXYZ} |
\(\mathsf{STUVWXYZ}\) |
\mathsf{abcdefghijklm} |
\(\mathsf{abcdefghijklm}\) |
\mathsf{nopqrstuvwxyz} |
\(\mathsf{nopqrstuvwxyz}\) |
\mathsf{0123456789} |
\(\mathsf{0123456789}\) |
无衬线体希腊字母（仅大写）¶
| 代码 | 输出 |
|---|---|
\mathsf{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta} |
\(\mathsf{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta}\) |
\mathsf{\Iota \Kappa \Lambda \Mu \Nu \Xi \Pi \Rho} |
\(\mathsf{\Iota \Kappa \Lambda \Mu \Nu \Xi \Pi \Rho}\) |
\mathsf{\Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega} |
\(\mathsf{\Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega}\) |
手写体/花体¶
| 代码 | 输出 |
|---|---|
\mathcal{ABCDEFGHI} |
\(\mathcal{ABCDEFGHI}\) |
\mathcal{JKLMNOPQR} |
\(\mathcal{JKLMNOPQR}\) |
\mathcal{STUVWXYZ} |
\(\mathcal{STUVWXYZ}\) |
Fraktur体¶
| 代码 | 输出 |
|---|---|
\mathfrak{ABCDEFGHI} |
\(\mathfrak{ABCDEFGHI}\) |
\mathfrak{JKLMNOPQR} |
\(\mathfrak{JKLMNOPQR}\) |
\mathfrak{STUVWXYZ} |
\(\mathfrak{STUVWXYZ}\) |
\mathfrak{abcdefghijklm} |
\(\mathfrak{abcdefghijklm}\) |
\mathfrak{nopqrstuvwxyz} |
\(\mathfrak{nopqrstuvwxyz}\) |
\mathfrak{0123456789} |
\(\mathfrak{0123456789}\) |
小型手写体¶
| 代码 | 输出 |
|---|---|
{\scriptstyle\text{abcdefghijklm}} |
\({\scriptstyle\text{abcdefghijklm}}\) |
混合字体¶
| 含义 | 代码 | 输出 |
|---|---|---|
| 斜体字符（忽略空格） | x y z |
\(x y z\) |
| 非斜体字符 | \text{x y z} |
\(\text{x y z}\) |
| 混合斜体（差） | \text{if} n \text{is even} |
\(\text{if} n \text{is even}\) |
| 混合斜体（好） | \text{if }n\text{ is even} |
\(\text{if }n\text{ is even}\) |
| 混合斜体（ 替代品：~ 或者" "强制空格） | \text{if}~n\ \text{is even} |
\(\text{if}~n\ \text{is even}\) |
括号¶
| 含义 | 代码 | 输出 |
|---|---|---|
| 短括号 | ( \frac{1}{2} ) |
\(( \frac{1}{2} )\) |
| 长括号 | \left( \frac{1}{2} \right) |
\(\left( \frac{1}{2} \right)\) |
您可以使用 \left 和 \right 来显示不同的括号：
| 功能 | 语法 | 输出 |
|---|---|---|
| 圆括号，小括号 | \left( \frac{a}{b} \right) |
\(\left( \frac{a}{b} \right)\) |
| 方括号，中括号 | \left[ \frac{a}{b} \right] |
\(\left[ \frac{a}{b} \right]\) |
| 花括号，大括号 | \left\{ \frac{a}{b} \right\} |
\(\left\{ \frac{a}{b} \right\}\) |
| 角括号 | \left \langle \frac{a}{b} \right \rangle |
\(\left \langle \frac{a}{b} \right \rangle\) |
| 双竖线，范数 | \left\Vert \frac{a}{b} \right\Vert |
\(\left\Vert \frac{a}{b} \right\Vert\) |
| 高斯符号 | \left \lbrack \frac{a}{b} \right \rbrack |
\(\left \lbrack \frac{a}{b} \right \rbrack\) |
| 取底符号 | \left \lfloor \frac{a}{b} \right \rfloor |
\(\left \lfloor \frac{a}{b} \right \rfloor\) |
| 取顶符号 | \left \lceil \frac{c}{d} \right \rceil |
\(\left \lceil \frac{c}{d} \right \rceil\) |
| 斜线与反斜线 | \left / \frac{a}{b} \right \backslash |
\(\left / \frac{a}{b} \right \backslash\) |
| 上下箭头 | \left \uparrow \frac{a}{b} \right \downarrow |
\(\left \uparrow \frac{a}{b} \right \downarrow\) |
| 上下箭头 | \left \Uparrow \frac{a}{b} \right \Downarrow |
\(\left \Uparrow \frac{a}{b} \right \Downarrow\) |
| 上下箭头 | \left \updownarrow \frac{a}{b} \right \Updownarrow |
\(\left \updownarrow \frac{a}{b} \right \Updownarrow\) |
| 混合括号 | \left [ 0,1 \right ) \langle\psi |
\(\left [ 0,1 \right )\) \(\langle\psi\) |
| 单左括号 | \left \{ \frac{a}{b} \right . |
\(\left \{ \frac{a}{b} \right .\) |
| 单右括号 | \left . \frac{a}{b} \right \} |
\(\left . \frac{a}{b} \right \}\) |
常见公式¶
| 含义 | 代码 | 输出 |
|---|---|---|
| 上下标 | _1^2X_3^4 |
\(_1^2X_3^4\) |
| 组合数 | \mathrm{C}_n^r |
\(\mathrm{C}_n^r\) |
| 排列数 | \mathrm{P}_n^r |
\(\mathrm{P}_n^r\) |
| 上划线 | \overline{abc} |
\(\overline{abc}\) |
| 下划线 | \underline{abc} |
\(\underline{abc}\) |
| 求和 | \sum_{k=1}^N k^2 |
\(\sum_{k=1}^N k^2\) |
| 求积 | \prod_{i=1}^N x_i |
\(\prod_{i=1}^N x_i\) |
| 极限 | \lim_{n \to \infty}n |
\(\lim_{n \to \infty}n\) |
| 根号 | \sqrt[n]{x} |
\(\sqrt[n]{x}\) |
| 上括号 | \overbrace{a+b+\cdots+z}^26 |
\(\overbrace{a+b+\cdots+z}^26\) |
| 下括号 | \underbrace{a+b+\cdots+z}_26 |
\(\underbrace{a+b+\cdots+z}_26\) |
| 向量 | \overrightarrow{AB} |
\(\overrightarrow{AB}\) |
可以使用 \big, \Big, \bigg, \Bigg 控制括号的大小，比如代码：
\Bigg ( \bigg [ \Big \{ \big \langle \left | \| \frac{a}{b} \| \right | \big \rangle \Big \} \bigg ] \Bigg )
显示：
\[
\Bigg ( \bigg [ \Big \{ \big \langle \left | \| \frac{a}{b} \| \right | \big \rangle \Big \} \bigg ] \Bigg )
\]
空格¶
注意TEX能够自动处理大多数的空格，但是您有时候需要自己来控制。
| 功能 | 代码 | 输出 | 宽度 |
|---|---|---|---|
| 2个quad空格 | \alpha\qquad\beta |
\(\alpha\qquad\beta\) | \(2m\) |
| quad空格 | \alpha\quad\beta |
\(\alpha\quad\beta\) | \(m\) |
| 大空格 | \alpha\ \beta |
\(\alpha\ \beta\) | \(\frac{m}{3}\) |
| 中等空格 | \alpha\;\beta |
\(\alpha\;\beta\) | \(\frac{2m}{7}\) |
| 小空格 | \alpha\,\beta |
\(\alpha\,\beta\) | \(\frac{m}{6}\) |
| 没有空格 | \alpha\beta |
\(\alpha\beta\) | \(0\) |
| 紧贴 | \alpha\!\beta |
\(\alpha\!\beta\) | \(-\frac{m}{6}\) |
颜色¶
语法¶
-
字体颜色︰
{\color{色调}表达式} -
背景颜色︰[c]{\pagecolor{色调}表达式}
支援色调表
| 代码 | 输出 |
|---|---|
{\displaystyle \color {Apricot}{\text{Apricot}}} |
 |
{\displaystyle \color {Aquamarine}{\text{Aquamarine}}} |
 |
{\displaystyle \color {Bittersweet}{\text{Bittersweet}}} |
 |
{\displaystyle \color {Black}{\text{Black}}} |
 |
{\displaystyle \color {Blue}{\text{Blue}}} |
 |
{\displaystyle \color {BlueGreen}{\text{BlueGreen}}} |
 |
{\displaystyle \color {BlueViolet}{\text{BlueViolet}}} |
 |
{\displaystyle \color {BrickRed}{\text{BrickRed}}} |
 |
{\displaystyle \color {Brown}{\text{Brown}}} |
 |
{\displaystyle \color {BurntOrange}{\text{BurntOrange}}} |
 |
{\displaystyle \color {CadetBlue}{\text{CadetBlue}}} |
 |
{\displaystyle \color {CarnationPink}{\text{CarnationPink}}} |
 |
{\displaystyle \color {Cerulean}{\text{Cerulean}}} |
 |
{\displaystyle \color {CornflowerBlue}{\text{CornflowerBlue}}} |
 |
{\displaystyle \color {Cyan}{\text{Cyan}}} |
 |
{\displaystyle \color {Dandelion}{\text{Dandelion}}} |
 |
{\displaystyle \color {DarkOrchid}{\text{DarkOrchid}}} |
 |
{\displaystyle \color {Emerald}{\text{Emerald}}} |
 |
{\displaystyle \color {ForestGreen}{\text{ForestGreen}}} |
 |
{\displaystyle \color {Fuchsia}{\text{Fuchsia}}} |
 |
{\displaystyle \color {Goldenrod}{\text{Goldenrod}}} |
 |
{\displaystyle \color {Gray}{\text{Gray}}} |
 |
{\displaystyle \color {Green}{\text{Green}}} |
 |
{\displaystyle \color {GreenYellow}{\text{GreenYellow}}} |
 |
{\displaystyle \color {JungleGreen}{\text{JungleGreen}}} |
 |
{\displaystyle \color {Lavender}{\text{Lavender}}} |
 |
{\displaystyle \color {LimeGreen}{\text{LimeGreen}}} |
 |
{\displaystyle \color {Magenta}{\text{Magenta}}} |
 |
{\displaystyle \color {Mahogany}{\text{Mahogany}}} |
 |
{\displaystyle \color {Maroon}{\text{Maroon}}} |
 |
{\displaystyle \color {Melon}{\text{Melon}}} |
 |
{\displaystyle \color {MidnightBlue}{\text{MidnightBlue}}} |
 |
{\displaystyle \color {Mulberry}{\text{Mulberry}}} |
 |
{\displaystyle \color {NavyBlue}{\text{NavyBlue}}} |
 |
{\displaystyle \color {OliveGreen}{\text{OliveGreen}}} |
 |
{\displaystyle \color {Orange}{\text{Orange}}} |
 |
{\displaystyle \color {OrangeRed}{\text{OrangeRed}}} |
 |
{\displaystyle \color {Orchid}{\text{Orchid}}} |
 |
{\displaystyle \color {Peach}{\text{Peach}}} |
 |
{\displaystyle \color {Periwinkle}{\text{Periwinkle}}} |
 |
{\displaystyle \color {PineGreen}{\text{PineGreen}}} |
 |
{\displaystyle \color {Plum}{\text{Plum}}} |
 |
{\displaystyle \color {ProcessBlue}{\text{ProcessBlue}}} |
 |
{\displaystyle \color {Purple}{\text{Purple}}} |
 |
{\displaystyle \color {RawSienna}{\text{RawSienna}}} |
 |
{\displaystyle \color {Red}{\text{Red}}} |
 |
{\displaystyle \color {RedOrange}{\text{RedOrange}}} |
 |
{\displaystyle \color {RedViolet}{\text{RedViolet}}} |
 |
{\displaystyle \color {Rhodamine}{\text{Rhodamine}}} |
 |
{\displaystyle \color {RoyalBlue}{\text{RoyalBlue}}} |
 |
{\displaystyle \color {RoyalPurple}{\text{RoyalPurple}}} |
 |
{\displaystyle \color {RubineRed}{\text{RubineRed}}} |
 |
{\displaystyle \color {Salmon}{\text{Salmon}}} |
 |
{\displaystyle \color {SeaGreen}{\text{SeaGreen}}} |
 |
{\displaystyle \color {Sepia}{\text{Sepia}}} |
 |
{\displaystyle \color {SkyBlue}{\text{SkyBlue}}} |
 |
{\displaystyle \color {SpringGreen}{\text{SpringGreen}}} |
 |
{\displaystyle \color {Tan}{\text{Tan}}} |
 |
{\displaystyle \color {TealBlue}{\text{TealBlue}}} |
 |
{\displaystyle \color {Thistle}{\text{Thistle}}} |
 |
{\displaystyle \color {Turquoise}{\text{Turquoise}}} |
 |
{\displaystyle \color {Violet}{\text{Violet}}} |
 |
{\displaystyle \color {VioletRed}{\text{VioletRed}}} |
 |
{\displaystyle \color {White}{\text{White}}} |
 |
{\displaystyle \color {WildStrawberry}{\text{WildStrawberry}}} |
 |
{\displaystyle \color {Yellow}{\text{Yellow}}} |
 |
{\displaystyle \color {YellowGreen}{\text{YellowGreen}}} |
 |
{\displaystyle \color {YellowOrange}{\text{YellowOrange}}} |
 |
小型数学公式¶
此功能并不常用。
10 的 \(f(x)=5+\frac{1}{5}\) 是 2。
- 并不好看。
10 的 \(\begin{smallmatrix} f(x)=5+\frac{1}{5} \end{smallmatrix}\)是 2。
- 好看些了。
可以使用
\begin{smallmatrix}...\end{smallmatrix}
或直接使用Smallmath模板。
{{Smallmath|f= f(x)=5+\frac{1}{5} }}
分数¶
分数最普通的形式为\frac{x}{y}，也可以用\tfrac{x}{y}来得到较小的分数。
\[
\frac{x}{y}
\tfrac{x}{y}
\]
用\frac{x}{1+\frac{y}}可以得到连分数，但是使用\cfrac代替可以得到更大的分数。
\[
\frac{2}{c + \frac{2}{d + \frac{2}{4}}}
\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}}
\]
矩阵¶
矩阵首尾以\begin{matrix}和\end{matrix}标记，各元素以&分隔，以\\换行。
\begin{matrix}
a_{11} & \cdots & a_{1n} \\
\vdots & \ddots & \vdots \\
a_{n1} & \cdots & a_{nn}
\end{matrix}
如上则是一个矩阵的代码，可以得到如下的效果。
\[
\begin{matrix}
a_{11} & \cdots & a_{1n} \\
\vdots & \ddots & \vdots \\
a_{n1} & \cdots & a_{nn}
\end{matrix}
\]
此外对于{matrix}中 matrix 可以替换成如下内容，以得到不同的边框。
| 替换内容 | 输出 | 替换内容 | 输出 |
|---|---|---|---|
| vmatrix | \(\begin{vmatrix}a & b \\c & d\end{vmatrix}\) | Vmatrix | \(\begin{Vmatrix}a & b \\c & d\end{Vmatrix}\) |
| bmatrix | \(\begin{vmatrix}a & b \\c & d\end{vmatrix}\) | Bmatrix | \(\begin{Bmatrix}a & b \\c & d\end{Bmatrix}\) |
| pmatrix | \(\begin{pmatrix}a & b \\c & d\end{pmatrix}\) | smallmatrix | \(\begin{smallmatrix}a & b \\c & d\end{smallmatrix}\) |
分段函数 & 方程组¶
首尾以\begin{cases}和\end{cases}标记，各元素以&分隔，以\\换行。
f(x) =
\begin{cases}
x, & x\ge0 \\
-x, & x<0
\end{cases}
实际效果如下。
\[
\begin{align}
(x+y)^3 & = (x+y)^2(x+y)\\
& = (x+y)(x+y)(x+y)\\
\end{align}
\]