MathJax是一款运行于 Web 浏览器当中的开源 JavaScript 数学符号渲染引擎，通过它可以方便的在现代 Web 浏览器当中显示数学公式，目前已经能够解析 LaTex、MathML 等标记语言。MathJax 项目发源于 2009 年，目前由 NumFOCUS 基金会主持，并且得到了 MathJax 联盟的支持，该联盟是美国数学协会（AMS）和 工业与应用数学协会（SIAM）的共同合资企业。
LaTeX是一种高质量的排版格式，可以生成复杂的表格与数学公式，是当前电子与数学出版行业的事实标准。本文以 Pandoc作为 LaTex 渲染引擎（一款用于标记语言文档转换的命令行工具），分门别类的总结了撰写数学公式所需要经常使用到的 LaTeX 语法，方便写作相关科技类文章时随手查阅。
1. 希腊字母
| 序号 | 标准符号 | LaTeX | 首字母大写 | LaTeX | 使用 var 前缀 | LaTeX | 读音 |
|---|---|---|---|---|---|---|---|
| 1 | $\alpha$ | \alpha | /ˈælfə/ | ||||
| 2 | $\beta$ | \beta | /ˈbeɪtə/ | ||||
| 3 | $\gamma$ | \gamma | $\Gamma$ | \Gamma | $\varGamma$ | \varGamma | /ˈɡæmə/ |
| 4 | $\delta$ | \delta | $\Delta$ | \Delta | $\varDelta$ | \varDelta | /ˈdɛltə/ |
| 5 | $\epsilon$ | \epsilon | $\varepsilon$ | \varepsilon | /ˈɛpsɪlɒn/ | ||
| 6 | $\zeta$ | \zeta | /ˈzeɪtə/ | ||||
| 7 | $\eta$ | \eta | /ˈeɪtə/ | ||||
| 8 | $\theta$ | \theta | $\Theta$ | \Theta | $\vartheta$、$\varTheta$ | \vartheta、\varTheta | /ˈθiːtə/ |
| 9 | $\iota$ | \iota | /aɪˈoʊtə/ | ||||
| 10 | $\kappa$ | \kappa | $\varkappa$ | \varkappa | /ˈkæpə/ | ||
| 11 | $\lambda$ | \lambda | $\Lambda$ | \Lambda | $\varLambda$ | \varLambda | /ˈlæmdə/ |
| 12 | $\mu$ | \mu | /mjuː/ | ||||
| 13 | $\nu$ | \nu | /njuː/ | ||||
| 14 | $\xi$ | \xi | $\Xi$ | \Xi | $\varXi$ | \varXi | /zaɪ, ksaɪ/ |
| 15 | $o$ | o | $O$ | O | /ˈɒmɪkrɒn/ | ||
| 16 | $\pi$ | \pi | $\Pi$ | \Pi | $\varpi$、$\varPi$ | \varpi、\varPi | /paɪ/ |
| 17 | $\rho$ | \rho | $\varrho$ | \varrho | /roʊ/ | ||
| 18 | $\sigma$ | \sigma | $\Sigma$ | \Sigma | $\varsigma$、$\varSigma$ | \varsigma、\varSigma | /ˈsɪɡmə/ |
| 19 | $\tau$ | \tau | /taʊ, tɔː/ | ||||
| 20 | $\upsilon$ | \upsilon | $\Upsilon$ | \Upsilon | $\varUpsilon$ | \varUpsilon | /ˈʌpsɪlɒn/ |
| 21 | $\phi$ | \phi | $\Phi$ | \Phi | $\varphi$、$\varPhi$ | \varphi、\varPhi | /faɪ/ |
| 22 | $\chi$ | \chi | /kaɪ/ | ||||
| 23 | $\psi$ | \psi | $\Psi$ | \Psi | $\varPsi$ | \varPsi | /psaɪ/ |
| 24 | $\omega$ | \omega | $\Omega$ | \Omega | $\varOmega$ | \varOmega | /oʊˈmeɪɡə/ |
| 25 | $\digamma$ | \digamma | /daɪ'gæmə/ |
2. 二元运算符
| 序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
|---|---|---|---|---|---|
| 1 | $+$ | + | 20 | $\bullet$ | \bullet |
| 2 | $-$ | - | 21 | $\oplus$ | \oplus |
| 3 | $\times$ | \times | 22 | $\ominus$ | \ominus |
| 4 | $\div$ | \div | 23 | $\odot$ | \odot |
| 5 | $\pm$ | \pm | 24 | $\oslash$ | \oslash |
| 6 | $\mp$ | \mp | 25 | $\otimes$ | \otimes |
| 7 | $\triangleleft$ | \triangleleft | 26 | $\bigcirc$ | \bigcirc |
| 8 | $\triangleright$ | \triangleright | 27 | $\diamond$ | \diamond |
| 9 | $\cdot$ | \cdot | 28 | $\uplus$ | \uplus |
| 10 | $\setminus$ | \setminus | 29 | $\bigtriangleup$ | \bigtriangleup |
| 11 | $\star$ | \star | 30 | $\bigtriangledown$ | \bigtriangledown |
| 12 | $\ast$ | \ast | 31 | $\lhd$ | \lhd |
| 13 | $\cup$ | \cup | 32 | $\rhd$ | \rhd |
| 14 | $\cap$ | \cap | 33 | $\unlhd$ | \unlhd |
| 15 | $\sqcup$ | \sqcup | 34 | $\unrhd$ | \unrhd |
| 16 | $\sqcap$ | \sqcap | 35 | $\amalg$ | \amalg |
| 17 | $\vee$ | \vee | 36 | $\wr$ | \wr |
| 18 | $\wedge$ | \wedge | 37 | $\dagger$ | \dagger |
| 19 | $\circ$ | \circ | 38 | $\ddagger$ | \ddagger |
3. 二元关系符
| 序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
|---|---|---|---|---|---|
| 1 | $=$ | = | 49 | $\gneq$ | \gneq |
| 2 | $\ne$ | \ne | 50 | $\geqq$ | \geqq |
| 3 | $\neq$ | \neq | 51 | $\ngeq$ | \ngeq |
| 4 | $\equiv$ | \equiv | 52 | $\ngeqq$ | \ngeqq |
| 5 | $\not\equiv$ | \not\equiv | 53 | $\gneqq$ | \gneqq |
| 6 | $\doteq$ | \doteq | 54 | $\gvertneqq$ | \gvertneqq |
| 7 | $\doteqdot$ | \doteqdot | 55 | $\lessgtr$ | \lessgtr |
| 8 | $\overset{\underset{\mathrm{def}}{}}{=}$ | \overset{\underset{\mathrm{def}}{}}{=} | 56 | $\lesseqgtr$ | \lesseqgtr |
| 9 | $:=$ | := | 57 | $\lesseqqgtr$ | \lesseqqgtr |
| 10 | $\sim$ | \sim | 58 | $\gtrless$ | \gtrless |
| 11 | $\nsim$ | \nsim | 59 | $\gtreqless$ | \gtreqless |
| 12 | $\backsim$ | \backsim | 60 | $\gtreqqless$ | \gtreqqless |
| 13 | $\thicksim$ | \thicksim | 61 | $\leqslant$ | \leqslant |
| 14 | $\simeq$ | \simeq | 62 | $\nleqslant$ | \nleqslant |
| 15 | $\backsimeq$ | \backsimeq | 63 | $\eqslantless$ | \eqslantless |
| 16 | $\eqsim$ | \eqsim | 64 | $\geqslant$ | \geqslant |
| 17 | $\cong$ | \cong | 65 | $\ngeqslant$ | \ngeqslant |
| 18 | $\ncong$ | \ncong | 66 | $\eqslantgtr$ | \eqslantgtr |
| 19 | $\approx$ | \approx | 67 | $\lesssim$ | \lesssim |
| 20 | $\thickapprox$ | \thickapprox | 68 | $\lnsim$ | \lnsim |
| 21 | $\approxeq$ | \approxeq | 69 | $\lessapprox$ | \lessapprox |
| 22 | $\asymp$ | \asymp | 70 | $\lnapprox$ | \lnapprox |
| 23 | $\propto$ | \propto | 71 | $\gtrsim$ | \gtrsim |
| 24 | $\varpropto$ | \varpropto | 72 | $\gnsim$ | \gnsim |
| 25 | $<$ | < | 73 | $\gtrapprox$ | \gtrapprox |
| 26 | $\nless$ | \nless | 74 | $\gnapprox$ | \gnapprox |
| 27 | $\ll$ | \ll | 75 | $\prec$ | \prec |
| 28 | $\not\ll$ | \not\ll | 76 | $\nprec$ | \nprec |
| 29 | $\lll$ | \lll | 77 | $\preceq$ | \preceq |
| 30 | $\not\lll$ | \not\lll | 78 | $\npreceq$ | \npreceq |
| 31 | $\lessdot$ | \lessdot | 79 | $\precneqq$ | \precneqq |
| 32 | $>$ | > | 80 | $\succ$ | \succ |
| 33 | $\ngtr$ | \ngtr | 81 | $\nsucc$ | \nsucc |
| 34 | $\gg$ | \gg | 82 | $\succeq$ | \succeq |
| 35 | $\not\gg$ | \not\gg | 83 | $\nsucceq$ | \nsucceq |
| 36 | $\ggg$ | \ggg | 84 | $\succneqq$ | \succneqq |
| 37 | $\not\ggg$ | \not\ggg | 85 | $\preccurlyeq$ | \preccurlyeq |
| 38 | $\gtrdot$ | \gtrdot | 86 | $\curlyeqprec$ | \curlyeqprec |
| 39 | $\le$ | \le | 87 | $\succcurlyeq$ | \succcurlyeq |
| 40 | $\leq$ | \leq | 88 | $\curlyeqsucc$ | \curlyeqsucc |
| 41 | $\lneq$ | \lneq | 89 | $\precsim$ | \precsim |
| 42 | $\leqq$ | \leqq | 90 | $\precnsim$ | \precnsim |
| 43 | $\nleq$ | \nleq | 91 | $\precapprox$ | \precapprox |
| 44 | $\nleqq$ | \nleqq | 92 | $\precnapprox$ | \precnapprox |
| 45 | $\lneqq$ | \lneqq | 93 | $\succsim$ | \succsim |
| 46 | $\lvertneqq$ | \lvertneqq | 94 | $\succnsim$ | \succnsim |
| 47 | $\ge$ | \ge | 95 | $\succapprox$ | \succapprox |
| 48 | $\geq$ | \geq | 96 | $\succnapprox$ | \succnapprox |
4. 逻辑符号
| 序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
|---|---|---|---|---|---|
| 1 | $\forall$ | \forall | 20 | $\neg$ | \neg |
| 2 | $\exists$ | \exists | 21 | $\not\operatorname{R}$ | \not\operatorname{R} |
| 3 | $\nexists$ | \nexists | 22 | $\bot$ | \bot |
| 4 | $\therefore$ | \therefore | 23 | $\top$ | \top |
| 5 | $\because$ | \because | 24 | $\vdash$ | \vdash |
| 6 | $\And$ | \And | 25 | $\dashv$ | \dashv |
| 7 | $\lor$ | \lor | 26 | $\vDash$ | \vDash |
| 8 | $\vee$ | \vee | 27 | $\Vdash$ | \Vdash |
| 9 | $\curlyvee$ | \curlyvee | 28 | $\models$ | \models |
| 10 | $\bigvee$ | \bigvee | 29 | $\Vvdash$ | \Vvdash |
| 11 | $\land$ | \land | 30 | $\nvdash$ | \nvdash |
| 12 | $\wedge$ | \wedge | 31 | $\nVdash$ | \nVdash |
| 13 | $\curlywedge$ | \curlywedge | 32 | $\nvDash$ | \nvDash |
| 14 | $\bigwedge$ | \bigwedge | 33 | $\nVDash$ | \nVDash |
| 15 | $\bar{q}$ | \bar{q} | 34 | $\ulcorner$ | \ulcorner |
| 16 | $\bar{abc}$ | \bar{abc} | 35 | $\urcorner$ | \urcorner |
| 17 | $\overline{q}$ | \overline{q} | 36 | $\llcorner$ | \llcorner |
| 18 | $\overline{abc}$ | \overline{abc} | 37 | $\lrcorner$ | \lrcorner |
| 19 | $\lnot$ | \lnot |
5. 集合符号
| 序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
|---|---|---|---|---|---|
| 1 | $\{ \}$ | \{ \} | 23 | $\sqsubset$ | \sqsubset |
| 2 | $\emptyset$ | \emptyset | 24 | $\supset$ | \supset |
| 3 | $\varnothing$ | \varnothing | 25 | $\Supset$ | \Supset |
| 4 | $\in$ | \in | 26 | $\sqsupset$ | \sqsupset |
| 5 | $\notin$ | \notin | 27 | $\subseteq$ | \subseteq |
| 6 | $\ni$ | \ni | 28 | $\nsubseteq$ | \nsubseteq |
| 7 | $\cap$ | \cap | 29 | $\subsetneq$ | \subsetneq |
| 8 | $\Cap$ | \Cap | 30 | $\varsubsetneq$ | \varsubsetneq |
| 9 | $\sqcap$ | \sqcap | 31 | $\sqsubseteq$ | \sqsubseteq |
| 10 | $\bigcap$ | \bigcap | 32 | $\supseteq$ | \supseteq |
| 11 | $\cup$ | \cup | 33 | $\nsupseteq$ | \nsupseteq |
| 12 | $\Cup$ | \Cup | 34 | $\supsetneq$ | \supsetneq |
| 13 | $\sqcup$ | \sqcup | 35 | $\varsupsetneq$ | \varsupsetneq |
| 14 | $\bigcup$ | \bigcup | 36 | $\sqsupseteq$ | \sqsupseteq |
| 15 | $\bigsqcup$ | \bigsqcup | 37 | $\subseteqq$ | \subseteqq |
| 16 | $\uplus$ | \uplus | 38 | $\nsubseteqq$ | \nsubseteqq |
| 17 | $\biguplus$ | \biguplus | 39 | $\subsetneqq$ | \subsetneqq |
| 18 | $\setminus$ | \setminus | 40 | $\varsubsetneqq$ | \varsubsetneqq |
| 19 | $\smallsetminus$ | \smallsetminus | 41 | $\supseteqq$ | \supseteqq |
| 20 | $\times$ | \times | 42 | $\nsupseteqq$ | \nsupseteqq |
| 21 | $\subset$ | \subset | 43 | $\supsetneqq$ | \supsetneqq |
| 22 | $\Subset$ | \Subset | 44 | $\varsupsetneqq$ | \varsupsetneqq |
6. 箭头符号
| 序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
|---|---|---|---|---|---|
| 1 | $\Rrightarrow$ | \Rrightarrow | 36 | $\longmapsto$ | \longmapsto |
| 2 | $\Lleftarrow$ | \Lleftarrow | 37 | $\rightharpoonup$ | \rightharpoonup |
| 3 | $\Rightarrow$ | \Rightarrow | 38 | $\rightharpoondown$ | \rightharpoondown |
| 4 | $\nRightarrow$ | \nRightarrow | 39 | $\leftharpoonup$ | \leftharpoonup |
| 5 | $\Longrightarrow$ | \Longrightarrow | 40 | $\leftharpoondown$ | \leftharpoondown |
| 6 | $\implies$ | \implies | 41 | $\upharpoonleft$ | \upharpoonleft |
| 7 | $\Leftarrow$ | \Leftarrow | 42 | $\upharpoonright$ | \upharpoonright |
| 8 | $\nLeftarrow$ | \nLeftarrow | 43 | $\downharpoonleft$ | \downharpoonleft |
| 9 | $\Longleftarrow$ | \Longleftarrow | 44 | $\downharpoonright$ | \downharpoonright |
| 10 | $\Leftrightarrow$ | \Leftrightarrow | 45 | $\rightleftharpoons$ | \rightleftharpoons |
| 11 | $\nLeftrightarrow$ | \nLeftrightarrow | 46 | $\leftrightharpoons$ | \leftrightharpoons |
| 12 | $\Longleftrightarrow$ | \Longleftrightarrow | 47 | $\curvearrowleft$ | \curvearrowleft |
| 13 | $\iff$ | \iff | 48 | $\circlearrowleft$ | \circlearrowleft |
| 14 | $\Uparrow$ | \Uparrow | 49 | $\Lsh$ | \Lsh |
| 15 | $\Downarrow$ | \Downarrow | 50 | $\upuparrows$ | \upuparrows |
| 16 | $\Updownarrow$ | \Updownarrow | 51 | $\rightrightarrows$ | \rightrightarrows |
| 17 | $\rightarrow$ | \rightarrow | 52 | $\rightleftarrows$ | \rightleftarrows |
| 18 | $\to$ | \to | 53 | $\rightarrowtail$ | \rightarrowtail |
| 19 | $\nrightarrow$ | \nrightarrow | 54 | $\looparrowright$ | \looparrowright |
| 20 | $\longrightarrow$ | \longrightarrow | 55 | $\curvearrowright$ | \curvearrowright |
| 21 | $\leftarrow$ | \leftarrow | 56 | $\circlearrowright$ | \circlearrowright |
| 22 | $\gets$ | \gets | 57 | $\Rsh$ | \Rsh |
| 23 | $\nleftarrow$ | \nleftarrow | 58 | $\downdownarrows$ | \downdownarrows |
| 24 | $\longleftarrow$ | \longleftarrow | 59 | $\leftleftarrows$ | \leftleftarrows |
| 25 | $\leftrightarrow$ | \leftrightarrow | 60 | $\leftrightarrows$ | \leftrightarrows |
| 26 | $\nleftrightarrow$ | \nleftrightarrow | 61 | $\leftarrowtail$ | \leftarrowtail |
| 27 | $\longleftrightarrow$ | \longleftrightarrow | 62 | $\looparrowleft$ | \looparrowleft |
| 28 | $\uparrow$ | \uparrow | 63 | $\hookrightarrow$ | \hookrightarrow |
| 29 | $\downarrow$ | \downarrow | 64 | $\hookleftarrow$ | \hookleftarrow |
| 30 | $\updownarrow$ | \updownarrow | 65 | $\multimap$ | \multimap |
| 31 | $\nearrow$ | \nearrow | 66 | $\leftrightsquigarrow$ | \leftrightsquigarrow |
| 32 | $\swarrow$ | \swarrow | 67 | $\rightsquigarrow$ | \rightsquigarrow |
| 33 | $\nwarrow$ | \nwarrow | 68 | $\twoheadrightarrow$ | \twoheadrightarrow |
| 34 | $\searrow$ | \searrow | 69 | $\twoheadleftarrow$ | \twoheadleftarrow |
| 35 | $\mapsto$ | \mapsto |
7. 特殊符号
| 序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
|---|---|---|---|---|---|
| 1 | $\infty$ | \infty | 33 | $\flat$ | \flat |
| 2 | $\aleph$ | \aleph | 34 | $\natural$ | \natural |
| 3 | $\complement$ | \complement | 35 | $\sharp$ | \sharp |
| 4 | $\backepsilon$ | \backepsilon | 36 | $\diagup$ | \diagup |
| 5 | $\eth$ | \eth | 37 | $\diagdown$ | \diagdown |
| 6 | $\Finv$ | \Finv | 38 | $\centerdot$ | \centerdot |
| 7 | $\hbar$ | \hbar | 39 | $\ltimes$ | \ltimes |
| 8 | $\Im$ | \Im | 40 | $\rtimes$ | \rtimes |
| 9 | $\imath$ | \imath | 41 | $\leftthreetimes$ | \leftthreetimes |
| 10 | $\jmath$ | \jmath | 42 | $\rightthreetimes$ | \rightthreetimes |
| 11 | $\Bbbk$ | \Bbbk | 43 | $\eqcirc$ | \eqcirc |
| 12 | $\ell$ | \ell | 44 | $\circeq$ | \circeq |
| 13 | $\mho$ | \mho | 45 | $\triangleq$ | \triangleq |
| 14 | $\wp$ | \wp | 46 | $\bumpeq$ | \bumpeq |
| 15 | $\Re$ | \Re | 47 | $\Bumpeq$ | \Bumpeq |
| 16 | $\circledS$ | \circledS | 48 | $\doteqdot$ | \doteqdot |
| 17 | $\amalg$ | \amalg | 49 | $\risingdotseq$ | \risingdotseq |
| 18 | $\%$ | \% | 50 | $\fallingdotseq$ | \fallingdotseq |
| 19 | $\dagger$ | \dagger | 51 | $\intercal$ | \intercal |
| 20 | $\ddagger$ | \ddagger | 52 | $\barwedge$ | \barwedge |
| 21 | $\ldots$ | \ldots | 53 | $\veebar$ | \veebar |
| 22 | $\cdots$ | \cdots | 54 | $\doublebarwedge$ | \doublebarwedge |
| 23 | $\smile$ | \smile | 55 | $\between$ | \between |
| 24 | $\frown$ | \frown | 56 | $\pitchfork$ | \pitchfork |
| 25 | $\wr$ | \wr | 57 | $\vartriangleleft$ | \vartriangleleft |
| 26 | $\triangleleft$ | \triangleleft | 58 | $\ntriangleleft$ | \ntriangleleft |
| 27 | $\triangleright$ | \triangleright | 59 | $\vartriangleright$ | \vartriangleright |
| 28 | $\diamondsuit$ | \diamondsuit | 60 | $\ntriangleright$ | \ntriangleright |
| 29 | $\heartsuit$ | \heartsuit | 61 | $\trianglelefteq$ | \trianglelefteq |
| 30 | $\clubsuit$ | \clubsuit | 62 | $\ntrianglelefteq$ | \ntrianglelefteq |
| 31 | $\spadesuit$ | \spadesuit | 63 | $\trianglerighteq$ | \trianglerighteq |
| 32 | $\Game$ | \Game | 64 | $\ntrianglerighteq$ | \ntrianglerighteq |
8. 分数
| 类型 | 符号 | LaTeX |
|---|---|---|
| 分数 | $\frac{2}{4}x=0.5x or {2 \over 4}x=0.5x$ | \frac{2}{4}x=0.5x or {2 \over 4}x=0.5x |
| 小型分数 | $\tfrac{2}{4}x = 0.5x$ | \tfrac{2}{4}x = 0.5x |
| 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 |
9. 数值函数
| 符号 | LaTeX |
|---|---|
| $\exp_a b = a^b, \exp b = e^b, 10^m$ | \exp_a b = a^b, \exp b = e^b, 10^m |
| $\ln c, \lg d = \log e, \log_{10} f$ | \ln c, \lg d = \log e, \log_{10} f |
| $\sin a, \cos b, \tan c, \cot d, \sec e, \csc f$ | \sin a, \cos b, \tan c, \cot d, \sec e, \csc f |
| $\arcsin a, \arccos b, \arctan c$ | \arcsin a, \arccos b, \arctan c |
| $\operatorname{arccot} d, \operatorname{arcsec} e, \operatorname{arccsc} f$ | \operatorname{arccot} d, \operatorname{arcsec} e, \operatorname{arccsc} f |
| $\sinh a, \cosh b, \tanh c, \coth d$ | \sinh a, \cosh b, \tanh c, \coth d |
| $\operatorname{sh}k, \operatorname{ch}l, \operatorname{th}m, \operatorname{coth}n$ | \operatorname{sh}k, \operatorname{ch}l, \operatorname{th}m, \operatorname{coth}n |
| $\operatorname{argsh}o, \operatorname{argch}p, \operatorname{argth}q$ | \operatorname{argsh}o, \operatorname{argch}p, \operatorname{argth}q |
| $\operatorname{sgn}r, \left\vert s \right\vert$ | \operatorname{sgn}r, \left\vert s \right\vert |
| $\min(x,y), \max(x,y)$ | \min(x,y), \max(x,y) |
如果需要使用特殊的函数符号，那么可以采用 \operatorname{} 命令进行自定义：
| 符号 | LaTeX |
|---|---|
| $\operatorname{mydefine}x$ | \operatorname{mydefine}x |
10. 根式
| 符号 | LaTeX | 符号 | LaTeX |
|---|---|---|---|
| $\surd$ | \surd | $\sqrt[n]{\pi}$ | \sqrt[n]{\pi} |
| $\sqrt{\pi}$ | \sqrt{\pi} | $\sqrt[3]{\frac{x^3+y^3}{2}}$ | \sqrt[3]{\frac{x^3+y^3}{2}}*_ |
11. 微分与导数
| 符号 | LaTeX |
|---|---|
| $dt, \mathrm{d}t, \partial t, \nabla\psi$ | dt, \mathrm{d}t, \partial t, \nabla\psi |
| $dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x}, \frac{\partial^2}{\partial x_1\partial x_2}y$ | dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x}, \frac{\partial^2}{\partial x_1\partial x_2}y |
| $\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y$ | \prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y |
12. 模运算
| 符号 | LaTeX |
|---|---|
| $s_k \equiv 0 \pmod{m}$ | s_k \equiv 0 \pmod{m} |
| $a \bmod b$ | a \bmod b |
| $\gcd(m, n), \operatorname{lcm}(m, n)$ | \gcd(m, n), \operatorname{lcm}(m, n) |
| $\mid, \nmid, \shortmid, \nshortmid$ | \mid, \nmid, \shortmid, \nshortmid |
13. 极限
| 符号 | LaTeX |
|---|---|
| $\lim_{n \to \infty}x_n$ | \lim_{n \to \infty}x_n |
| $\textstyle \lim_{n \to \infty}x_n$ | \textstyle \lim_{n \to \infty}x_n |
14. 范围与预测
| 符号 | LaTeX |
|---|---|
| $\min x, \max y, \inf s, \sup t$ | \min x, \max y, \inf s, \sup t |
| $\lim u, \liminf v, \limsup w$ | \lim u, \liminf v, \limsup w |
| $\dim p, \deg q, \det m, \ker\phi$ | \dim p, \deg q, \det m, \ker\phi |
| $\Pr j, \hom l, \lVert z \rVert, \arg z$ | \Pr j, \hom l, \lVert z \rVert, \arg z |
15. 积分
| 符号 | LaTeX |
|---|---|
| $\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx$ | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
| $\int_{1}^{3}\frac{e^3/x}{x^2}\, dx$ | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
| $\textstyle \int\limits_{-N}^{N} e^x dx$ | \textstyle \int\limits_{-N}^{N} e^x dx |
| $\textstyle \int_{-N}^{N} e^x dx$ | \textstyle \int_{-N}^{N} e^x dx |
| $\iint\limits_D dx\,dy$ | \iint\limits_D dx\,dy |
| $\iiint\limits_E dx\,dy\,dz$ | \iiint\limits_E dx\,dy\,dz |
| $\int_{(x,y)\in C} x^3\, dx + 4y^2\,dy$ | \int_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
| $\oint_{(x,y)\in C} x^3\, dx + 4y^2\,dy$ | \oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
注意：积分符号采用
\int\_{}^{}命令调用，双重积分符号采用\iint\_{}^{}，以此类推，最高可以支持四重积分。
16. 大型运算符
| 分类 | 符号 | LaTeX | 符号 | LaTeX |
|---|---|---|---|---|
| 求和 | $\sum_{a}^{b}$ | \sum_{a}^{b} | $\textstyle \sum_{a}^{b}$ | \textstyle \sum_{a}^{b} |
| 连乘积 | $\prod_{a}^{b}$ | \prod_{a}^{b} | $\textstyle \prod_{a}^{b}$ | \textstyle \prod_{a}^{b} |
| 余积 | $\coprod_{a}^{b}$ | \coprod_{a}^{b} | $\textstyle \coprod_{a}^{b}$ | \textstyle \coprod_{a}^{b} |
| 并集 | $\bigcup_{a}^{b}$ | \bigcup_{a}^{b} | $\textstyle \bigcup_{a}^{b}$ | \textstyle \bigcup_{a}^{b} |
| 交集 | $\bigcap_{a}^{b}$ | \bigcap_{a}^{b} | $\textstyle \bigcap_{a}^{b}$ | \textstyle \bigcap_{a}^{b} |
| 析取 | $\bigvee_{a}^{b}$ | \bigvee_{a}^{b} | $\textstyle \bigvee_{a}^{b}$ | \textstyle \bigvee_{a}^{b} |
| 合取 | $\bigwedge_{a}^{b}$ | \bigwedge_{a}^{b} | $\textstyle \bigwedge_{a}^{b}$ | \textstyle \bigwedge_{a}^{b} |
17. 上下标
| 类型 | 符号 | 代码 |
|---|---|---|
| 上标 | $a^2$ $a^{x+3}$ | a^2 a^{x+3} |
| 下标 | $a_2$ | a_2 |
| 组合 | $10^{30} a^{2+2}a{i,j} b{f'}$ | 10^{30} a^{2+2} a{i,j} b{f'} |
| 上下标混合 | $x_2^3$ ${x_2}^3$ | x_2^3 {x_2}^3 |
| 上标的上标 | $10^{10^{8}}$ | 10^{10^{8}} |
| 顶标底标 | $\overset{\alpha}{\omega}$ $\underset{\alpha}{\omega}$ $\overset{\alpha}{\underset{\gamma}{\omega}}$ $\stackrel{\alpha}{\omega}$ | \overset{\alpha}{\omega} \underset{\alpha}{\omega} \overset{\alpha}{\underset{\gamma}{\omega}} \stackrel{\alpha}{\omega} |
| 导数 | $x', y'', f', f''$ $x^\prime, y^{\prime\prime}$ | x', y'', f', f'' x^\prime, y^{\prime\prime} |
| 导数点 | $\dot{x}, \ddot{x}$ | \dot{x}, \ddot{x} |
| 上下划线与向量 | $\hat a \ \bar b \ \vec c$ $\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}$ $\overline{g h i} \ \underline{j k l}$ | \hat a \ \bar b \ \vec c \overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} \overline{g h i} \ \underline{j k l} |
| 弧度 | $\overset{\frown} {AB}$ | \overset{\frown} {AB} |
| 箭头 | $A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C$ | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
| 大括号 | $\overbrace{ 1+2+\cdots+100 }^{5050}$ | \overbrace{ 1+2+\cdots+100 }^{5050} |
| 底部大括号 | $\underbrace{ a+b+\cdots+z }_{26}$ | \underbrace{ a+b+\cdots+z }_{26} |
| 求和运算 | $\sum_{k=1}^N k^2$ | \sum_{k=1}^N k^2 |
| 文本模式下的求和运算 | $\textstyle \sum_{k=1}^N k^2$ | \textstyle \sum_{k=1}^N k^2 |
| 分式中的求和运算 | $\frac{\sum_{k=1}^N k^2}{a}$ | \frac{\sum_{k=1}^N k^2}{a} |
| 分式中的求和运算 | $\frac{\displaystyle \sum_{k=1}^N k^2}{a}$ | \frac{\displaystyle \sum_{k=1}^N k^2}{a} |
| 分式中的求和运算 | $\frac{\sum\limits^{^N}_{k=1} k^2}{a}$ | \frac{\sum\limits^{^N}_{k=1} k^2}{a} |
| 乘积运算 | $\prod_{i=1}^N x_i$ | \prod_{i=1}^N x_i |
| 乘积运算 | $\textstyle \prod_{i=1}^N x_i$ | \textstyle \prod_{i=1}^N x_i |
| 副乘运算 | $\coprod_{i=1}^N x_i$ | \coprod_{i=1}^N x_i |
| 副乘运算 | $\textstyle \coprod_{i=1}^N x_i$ | \textstyle \coprod_{i=1}^N x_i |
| 极限 | $\lim_{n \to \infty}x_n$ | \lim_{n \to \infty}x_n |
| 极限 | $\textstyle \lim_{n \to \infty}x_n$ | \textstyle \lim_{n \to \infty}x_n |
| 积分 | $\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx$ | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
| 积分 | $\int_{1}^{3}\frac{e^3/x}{x^2}\, dx$ | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
| 积分 | $\textstyle \int\limits_{-N}^{N} e^x dx$ | \textstyle \int\limits_{-N}^{N} e^x dx |
| 积分 | $\textstyle \int_{-N}^{N} e^x dx$ | \textstyle \int_{-N}^{N} e^x dx |
| 双重积分 | $\iint\limits_D dx\,dy$ | \iint\limits_D dx\,dy |
| 三重积分 | $\iiint\limits_E dx\,dy\,dz$ | \iiint\limits_E dx\,dy\,dz |
| 路径积分 | $\int_{(x,y)\in C} x^3\, dx + 4y^2\, dy$ | \int_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
| 环路积分 | $\oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy$ | \oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
| 交集 | $\bigcap_{i=1}^n E_i$ | \bigcap_{i=1}^n E_i |
| 并集 | $\bigcup_{i=1}^n E_i$ | \bigcup_{i=1}^n E_i |
18. 二项式系数
| 类型 | 符号 | LaTeX |
|---|---|---|
| 二项式系数 | $\binom{n}{k}$ | \binom{n}{k} |
| 小型二项式系数 | $\tbinom{n}{k}$ | \tbinom{n}{k} |
| 大型二项式系数 | $\dbinom{n}{k}$ | \dbinom{n}{k} |