物理 [latex使用说明书]对一个latex使用说明的转载
这两天找开源项目的时候找到个好东西，就想着给转载到这里，希望对你们有帮助！
原链接https://github.com/QianJianTech/LaTeXLive/
目录 Contents
1 关于LaTeX公式编辑 Introduce
LaTeX（常被读作/ˈlɑːtɛk/或/ˈleɪtɛk/，正确读音:/ˈlɑːtɛx/音译：拉泰赫，写作 $\LaTeX$），是一种基于TeX的排版系统，由美国计算机科学家莱斯利·兰伯特在20世纪80年代初期开发。MathJax是一个跨浏览器的JavaScript库，它使用MathML、LaTeX和ASCIIMathML标记在Web浏览器中显示数学符号。本页面是基于MathJax实现的便捷LaTeX公式编辑器，支持导出SVG矢量图、高清PNG位图、MathML代码以及SVGCode，并且可根据需要自定义加载TeX扩展包，实现功能拓展。
1.1 基本使用 Basic
在本页面输入框中输入的公式不用放在<math>与</math>，或$与$之间，直接输入相关LaTeX代码即可。
在输出框您可以看到即时渲染出来效果，方便进行代码修改。
以下字符在LaTeX环境中是保留字符，它们具有特殊含义，只可以特定语法中起作用，所以并不能在输入框中直接输入它们（会报错或者不会渲染）
# % ^ & _ { } ~ \\
如您因其他原因需要直接显示它们，请在其前面加入\ 反斜杠或其它转义符。
\# \% ^\wedge \& \_ \{ \} \sim \backslash
$$# \% ^\wedge \& _ { } \sim \backslash$$关于LaTeX代码部分请参考下一章节。
注意：本页面不支持文档编辑环境，因此不支持调用\begin{document}等相关命令，默认即为数学环境，可直接输入数学公式。
2 数学公式编辑 Displaying a formula
2.1 符号与字母 Symbol and Alphabet
2.1.1 希腊字母 Greek alphabet
| 序号 | 小写 | LaTeX | 读音 | 序号 | 大写 | LaTeX | 读音 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | $\alpha$ | \alpha | /ˈælfə/ | 31 | $\Gamma$ | \Gamma | /ˈɡæmə/ |
| 2 | $\beta$ | \beta | /ˈbiːtə/, US: /ˈbeɪtə/ | 32 | $\Delta$ | \Delta | /ˈdɛltə/ |
| 3 | $\gamma$ | \gamma | /ˈɡæmə/ | 33 | $\Theta$ | \Theta | /ˈθiːtə/ |
| 4 | $\delta$ | \delta | /ˈdɛltə/ | 34 | $\Lambda$ | \Lambda | /ˈlæmdə/ |
| 5 | $\epsilon$ | \epsilon | /ˈɛpsɪlɒn/ | 35 | $\Xi$ | \Xi | /zaɪ, ksaɪ/ |
| 6 | $\varepsilon$ | \varepsilon | /ˈɛpsɪlɒn/ | 36 | $\Pi$ | \Pi | /paɪ/ |
| 7 | $\zeta$ | \zeta | /ˈzeɪtə/ | 37 | $\Sigma$ | \Sigma | /ˈsɪɡmə/ |
| 8 | $\eta$ | \eta | /ˈeɪtə/ | 38 | $\Upsilon$ | \Upsilon | /ˈʌpsɪlɒn/ |
| 9 | $\theta$ | \theta | /ˈθiːtə/ | 39 | $\Phi$ | \Phi | /faɪ/ |
| 10 | $\vartheta$ | \vartheta | /ˈθiːtə/ | 40 | $\Psi$ | \Psi | /psaɪ/ |
| 11 | $\iota$ | \iota | /aɪˈoʊtə/ | 41 | $\Omega$ | \Omega | /oʊˈmeɪɡə/ |
| 12 | $\kappa$ | \kappa | /ˈkæpə/ | | | | |
| 13 | $\lambda$ | \lambda | /ˈlæmdə/ | | | | |
| 14 | $\mu$ | \mu | /mjuː/ | | | | |
| 15 | $\nu$ | \nu | /njuː/ | | | | |
| 16 | $\xi$ | \xi | /zaɪ, ksaɪ/ | | | | |
| 17 | $o$ | o | /ˈɒmɪkrɒn/ | | | | |
| 18 | $\pi$ | \pi | /paɪ/ | | | | |
| 19 | $\varpi$ | \varpi | /paɪ/ | | | | |
| 20 | $\rho$ | \rho | /roʊ/ | | | | |
| 21 | $\varrho$ | \varrho | /roʊ/ | | | | |
| 22 | $\sigma$ | \sigma | /ˈsɪɡmə/ | | | | |
| 23 | $\varsigma$ | \varsigma | /ˈsɪɡmə/ | | | | |
| 24 | $\tau$ | \tau | /taʊ, tɔː/ | | | | |
| 25 | $\upsilon$ | \upsilon | /ˈʌpsɪlɒn/ | | | | |
| 26 | $\phi$ | \phi | /faɪ/ | | | | |
| 27 | $\varphi$ | \varphi | /faɪ/ | | | | |
| 28 | $\chi$ | \chi | /kaɪ/ | | | | |
| 29 | $\psi$ | \psi | /psaɪ/ | | | | |
| 30 | $\omega$ | \omega | /oʊˈmeɪɡə/ | | | |
注意: MathJax支持的大写希腊字母有限，如需其他（如大写Alpha），可使用罗马体转换，如\mathrm{A}表示大写Alpha：$\mathrm{A}$。
2.1.2 希伯来字母 Hebrew alphabet
| 序号 | 图标 | LaTeX | 英文 |
| --- | --- | --- | --- |
| 1 | $\aleph$ | \aleph | aleph |
| 2 | $\beth$ | \beth | beth |
| 3 | $\gimel$ | \gimel | gimel |
| 4 | $\daleth$ | \daleth | daleth |
2.1.3 二元运算符 Binary operations
| 序号 | 图标 | LaTeX | 序号 | 图标 | 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 |
2.1.4 二元关系符 Binary relations
| 序号 | 图标 | LaTeX | 序号 | 图标 | 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 |
2.1.5 几何符号 Geometric symbols
| 序号 | 图标 | LaTeX | 序号 | 图标 | LaTeX |
| --- | --- | --- | --- | --- | --- |
| 1 | $\parallel$ | \parallel | 14 | $\lozenge$ | \lozenge |
| 2 | $\nparallel$ | \nparallel | 15 | $\blacklozenge$ | \blacklozenge |
| 3 | $\shortparallel$ | \shortparallel | 16 | $\bigstar$ | \bigstar |
| 4 | $\nshortparallel$ | \nshortparallel | 17 | $\bigcirc$ | \bigcirc |
| 5 | $\perp$ | \perp | 18 | $\triangle$ | \triangle |
| 6 | $\angle$ | \angle | 19 | $\bigtriangleup$ | \bigtriangleup |
| 7 | $\sphericalangle$ | \sphericalangle | 20 | $\bigtriangledown$ | \bigtriangledown |
| 8 | $\measuredangle$ | \measuredangle | 21 | $\vartriangle$ | \vartriangle |
| 9 | $45^\circ$ | 45^\circ | 22 | $\triangledown$ | \triangledown |
| 10 | $\Box$ | \Box | 23 | $\blacktriangle$ | \blacktriangle |
| 11 | $\blacksquare$ | \blacksquare | 24 | $\blacktriangledown$ | \blacktriangledown |
| 12 | $\diamond$ | \diamond | 25 | $\blacktriangleleft$ | \blacktriangleleft |
| 13 | $\Diamond$ | \Diamond \lozenge | 26 | $\blacktriangleright$ | \blacktriangleright |
2.1.6 逻辑符号 Logic symbols
| 序号 | 图标 | LaTeX | 序号 | 图标 | 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 |
2.1.7 集合 Sets
| 序号 | 图标 | LaTeX | 序号 | 图标 | 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 |
2.1.8 箭头 Arrows
| 序号 | 图标 | LaTeX | 序号 | 图标 | 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 |
2.1.9 特殊 Special
| 序号 | 图标 | LaTeX | 序号 | 图标 | 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 |
2.2 运算与函数 Operations & Functions
2.2.1 分数 Fractions
| 类型 | 样式 | LaTeX |
|---|---|---|
| 分数 |
Fractions | $\frac{2}{4}x=0.5x$ | \frac{2}{4}x=0.5x or {2 \over 4}x=0.5x || 小型分数Small fractions (force \textstyle) | $\tfrac{2}{4}x = 0.5x$ | \tfrac{2}{4}x = 0.5x || 大型分数（不嵌套）Large (normal) fractions (force \displaystyle) | $\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a$ | \dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a || 大型分数（嵌套）Large (nested) fractions | $\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a$ | \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a || 约分线的使用Cancellations in fractions | 
| \cfrac{x}{1 + \cfrac{\cancel{y}}{\cancel{y}}} = \cfrac{x}{2} |
2.2.2 标准数值函数 Standard numerical functions
| 样式 | 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) |
注意：LaTeX和MathJax支持的操作符有限，如有特殊操作符，可以使用\operatorname{} 命令自定义，例如
\operatorname{mydefine}x
$$\operatorname{mydefine}x$$
2.2.3 根式 Radicals
| 样式 | LaTeX |
|---|---|
| $\surd$ | \surd |
| $\sqrt{\pi}$ | \sqrt{\pi} |
| $\sqrt[n]{\pi}$ | \sqrt[n]{\pi} |
| $\sqrt[3]{\frac{x^3+y^3}{2}}$ | \sqrt[3]{\frac{x^3+y^3}{2}} |
2.2.4 微分与导数 Differentials and derivatives
| 样式 | 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 |
2.2.5 同余与模算术 Modular arithmetic
| 样式 | 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 |
2.2.6 极限 Limits
| 样式 | 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 |
2.2.7 界限与投影 Bounds and Projections
| 样式 | 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 |
2.2.8 积分 Integral
| 样式 | 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 |
| $\iiiint\limits_F dx\,dy\,dz\,dt$ | \iiiint\limits_F dx\,dy\,dz\,dt |
| $\int_{(x,y)\in C} x^3\, dx + 4y^2\, dy$ | \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：积分符号可以使用\int_{}^{}命令调用，如需双重积分符号只需将int替换成iint即可，以此类推，最高支持四重。曲线积分可使用\oint命令调用，但曲面积分符号在MathJax环境中并不支持\oiint的用法，但仍可通过\unicode{}命令，即Unicode代码的方式进行调用（前提是您需要在设置中打开Unicode扩展），具体使用方法如下：
\unicode{8751} \unicode{x222F}_C %曲面积分符号的Unicode码十进制为8751,十六进制为x222F(注意x标识符)
\unicode{8752} \unicode{x2230}_C %三维曲面积分符号的Unicode码十进制为8752,十六进制为x2230
其他积分符号：
\unicode{8753} \unicode{x2231}_c
\unicode{8754} \unicode{x2232}_c
\unicode{8755} \unicode{x2233}_c
2.2.9 其他大型运算 Large operators
| 类别 | 样式 | LaTeX |
|---|---|---|
| 求和 Summation | $$\sum_{a}^{b}$$ | \sum_{a}^{b} |
| 求和 Summation | $$\textstyle \sum_{a}^{b}$$ | \textstyle \sum_{a}^{b} |
| 连乘积 Product | $$\prod_{a}^{b}$$ | \prod_{a}^{b} |
| 连乘积 Product | $$\textstyle \prod_{a}^{b}$$ | \textstyle \prod_{a}^{b} |
| 余积 Coproduct | $$\coprod_{a}^{b}$$ | \coprod_{a}^{b} |
| 余积 Coproduct | $$\textstyle \coprod_{a}^{b}$$ | \textstyle \coprod_{a}^{b} |
| 并集 Union | $$\bigcup_{a}^{b}$$ | \bigcup_{a}^{b} |
| 并集 Union | $$\textstyle \bigcup_{a}^{b}$$ | \textstyle \bigcup_{a}^{b} |
| 交集 Intersection | $$\bigcap_{a}^{b}$$ | \bigcap_{a}^{b} |
| 交集 Intersection | $$\textstyle \bigcap_{a}^{b}$$ | \textstyle \bigcap_{a}^{b} |
| 析取 Disjunction | $$\bigvee_{a}^{b}$$ | \bigvee_{a}^{b} |
| 析取 Disjunction | $$\textstyle \bigvee_{a}^{b}$$ | \textstyle \bigvee_{a}^{b} |
| 合取 Conjunction | $$\bigwedge_{a}^{b}$$ | \bigwedge_{a}^{b} |
| 合取 Conjunction | $$\textstyle \bigwedge_{a}^{b}$$ | \textstyle \bigwedge_{a}^{b} |
| 类型 | 样式 | 代码 |
|---|---|---|
| 上标 Superscript | $a^2, a^{x+3}$ | a^2, a^{x+3} |
| 下标 Subscript | $a_2$ | a_2 |
| 组合 Grouping | $10^{30} a^{2+2}$ | 10^{30} a^{2+2} |
| $a_{i,j} b_{f'}$ | a_{i,j} b_{f'} | |
| 上下标混合Combining sub & super without and with horizontal separation | $x_2^3$ | x_2^3 |
| ${x_2}^3$ | {x_2}^3 | |
| 上标的上标 Super super | $10^{10^{8}}$ | 10^{10^{8}} |
| 混合标识 Preceding and/or additional sub & super | $\sideset{_1^2}{_3^4}X_a^b$ | \sideset{_1^2}{_3^4}X_a^b |
| ${}_1^2!\Omega_3^4$ | {}_1^2!\Omega_3^4 | |
| 顶标底标 Stacking | $\overset{\alpha}{\omega}$ | \overset{\alpha}{\omega} |
| $\underset{\alpha}{\omega}$ | \underset{\alpha}{\omega} | |
| $\overset{\alpha}{\underset{\gamma}{\omega}}$ | \overset{\alpha}{\underset{\gamma}{\omega}} | |
| $\stackrel{\alpha}{\omega}$ | \stackrel{\alpha}{\omega} | |
| 导数 Derivatives | $x', y'', f', f''$ | x', y'', f', f'' |
| $x^\prime, y^{\prime\prime}$ | x^\prime, y^{\prime\prime} | |
| 导数Derivative dots | $\dot{x}, \ddot{x}$ | \dot{x}, \ddot{x} |
| 下划线、上划线与向量 Underlines, overlines, vectors | $\hat a \\ \bar b \\ \vec c$ | \hat a \\ \bar b \\ \vec c |
| $\overrightarrow{a b} \\ \overleftarrow{c d} \\ \widehat{d e f}$ | \overrightarrow{a b} \\ \overleftarrow{c d} \\ \widehat{d e f} | |
| $\overline{g h i} \\ \underline{j k l}$ | \overline{g h i} \\ \underline{j k l} | |
| 弧度 Arc (workaround) | $\overset{\frown} {AB}$ | \overset{\frown} {AB} |
| 箭头 Arrows | $A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C$ | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
| 大括号 Overbraces | $\overbrace{ 1+2+\cdots+100 }^{5050}$ | \overbrace{ 1+2+\cdots+100 }^{5050} |
| 底部大括号 Underbraces | $\underbrace{ a+b+\cdots+z }_{26}$ | \underbrace{ a+b+\cdots+z }_{26} |
| 求和运算 Sum | $$\sum_{k=1}^N k^2$$ | \sum_{k=1}^N k^2 |
| 文本模式下的求和运算 Sum (force \textstyle) | $$\textstyle \sum_{k=1}^N k^2$$ | \textstyle \sum_{k=1}^N k^2 |
| 分式中的求和运算 Sum in a fraction (default \textstyle) | $$\frac{\sum_{k=1}^N k^2}{a}$$ | \frac{\sum_{k=1}^N k^2}{a} |
| 分式中的求和运算 Sum in a fraction (force \displaystyle) | $$\frac{\displaystyle \sum_{k=1}^N k^2}{a}$$ | \frac{\displaystyle \sum_{k=1}^N k^2}{a} |
| 分式中的求和运算 Sum in a fraction (alternative limits style) | $$\frac{\sum\limits^{^N}_{k=1} k^2}{a}$$ | \frac{\sum\limits^{^N}_{k=1} k^2}{a} |
| 乘积运算 Product | $$\prod_{i=1}^N x_i$$ | \prod_{i=1}^N x_i |
| 乘积运算 Product (force \textstyle) | $$\textstyle \prod_{i=1}^N x_i$$ | \textstyle \prod_{i=1}^N x_i |
| 副乘运算 Coproduct | $$\coprod_{i=1}^N x_i$$ | \coprod_{i=1}^N x_i |
| 副乘运算 Coproduct (force \textstyle) | $$\textstyle \coprod_{i=1}^N x_i$$ | \textstyle \coprod_{i=1}^N x_i |
| 极限 Limit | $$\lim_{n \to \infty}x_n$$ | \lim_{n \to \infty}x_n |
| 极限 Limit (force \textstyle) | $$\textstyle \lim_{n \to \infty}x_n$$ | \textstyle \lim_{n \to \infty}x_n |
| 类型 | 样式 | 代码 |
|---|---|---|
| 积分 Integral | $$\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx$$ | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
| 积分 Integral (alternative limits style) | $$\int_{1}^{3}\frac{e^3/x}{x^2}\, dx$$ | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
| 积分 Integral (force \textstyle) | $$\textstyle \int\limits_{-N}^{N} e^x dx$$ | \textstyle \int\limits_{-N}^{N} e^x dx |
| 积分 Integral (force \textstyle, alternative limits style) | $$\textstyle \int_{-N}^{N} e^x dx$$ | \textstyle \int_{-N}^{N} e^x dx |
| 双重积分 Double integral | $$\iint\limits_D dx\,dy$$ | \iint\limits_D dx\,dy |
| 三重积分 Triple integral | $$\iiint\limits_E dx\,dy\,dz$$ | \iiint\limits_E dx\,dy\,dz |
| 四重积分 Quadruple integral | $$\iiiint\limits_F dx\,dy\,dz\,dt$$ | \iiiint\limits_F dx\,dy\,dz\,dt |
| 路径积分 Line or path integral | $$\int_{(x,y)\in C} x^3\, dx + 4y^2\, dy$$ | \int_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
| 环路积分 Closed line or path integral | $$\oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy$$ | \oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
| 交集 Intersections | $$\bigcap_{i=1}^n E_i$$ | \bigcap_{i=1}^n E_i |
| 并集 Unions | $$\bigcup_{i=1}^n E_i$$ | \bigcup_{i=1}^n E_i |
2.4 矩阵与多行列式 Matrices & Multilines
| 类型 | 样式 | LaTeX |
|---|---|---|
| 二项式系数 Binomial coefficients | $\binom{n}{k}$ | \binom{n}{k} |
| 小型二项式系数 Small binomial coefficients (force \textstyle) | $\tbinom{n}{k}$ | \tbinom{n}{k} |
| 大型二项式系数 Large (normal) binomial coefficients (force \displaystyle) | $\dbinom{n}{k}$ | \dbinom{n}{k} |
| 矩阵 Matrices | $\begin{matrix} x & y \z & v\end{matrix}$ | \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{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} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix} | |
| $\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}$ | \begin{Bmatrix} x & y \\ z & v \end{Bmatrix} | |
| $\begin{pmatrix} x & y \\ z & v \end{pmatrix}$ | \begin{pmatrix} x & y \\ z & v \end{pmatrix} | |
| $\bigl( \begin{smallmatrix} a&b\ c&d \end{smallmatrix} \bigr)$ | \bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) |
| 类型 | 样式 | LaTeX | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 多行等式 Multiline equations | $\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align}$ | \begin{align} f(x) & = (a+b)^2\\ & = a^2+2ab+b^2 \\ \end{align} | ||||||||
| $\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat}$ | \begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat} | |||||||||
| $\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}$ | \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} | |||||||||
| $\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}$ | \begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} | |||||||||
| 方程组 Simultaneous equations | $\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}$ | \begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases} | ||||||||
| 数组 Arrays | $\begin{array}{ | c | c | c | } a & b & S \\ \hline 0&0&1\ 0&1&1\ 1&0&1\ 1&1&0\ \end{array}$ | \begin{array}{ \ | c \ | c \ | c \ | } a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array} |
2.5 括号 Brackets
常用的括号符号例如( )[ ]{ }……这些也可以在输入环境中直接使用：
2(x+y)=z
$$2(x+y)=z$$
但如果是在较大的表达式中这些符号就显得不合适了
( \frac{\pi}{2} )^n
$$( \frac{\pi}{2} )^n$$
正确用法应配合\left和\right命令使用。
\left ( \frac{\pi}{2} \right )^n
$$\left ( \frac{\pi}{2} \right )^n$$
具体可参考下表。
| 类型 | 样式 | LaTeX | ||||
|---|---|---|---|---|---|---|
| 圆括号、小括号 Parentheses | $\left ( \frac{a}{b} \right )$ | \left ( \frac{a}{b} \right ) | ||||
| 方括号、中括号 Brackets | $\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack$ | \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack | ||||
| 花括号、大括号 Braces | $\left { \frac{a}{b} \right } \quad \left \lbrace \frac{a}{b} \right \rbrace$ | \left { \frac{a}{b} \right } \quad \left \lbrace \frac{a}{b} \right \rbrace | ||||
| 角括号 Angle brackets | $\left \langle \frac{a}{b} \right \rangle$ | \left \langle \frac{a}{b} \right \rangle | ||||
| 单竖线和双竖线 Bars and double bars | $\left | \frac{a}{b} \right \vert \quad \left \Vert \frac{c}{d} \right \ | $ | \left \ | \frac{a}{b} \right \vert \quad \left \Vert \frac{c}{d} \right \ | |
| 取整函数与取顶函数 Floor and ceiling functions: | $\left \lfloor \frac{a}{b} \right \rfloor \quad \left \lceil \frac{c}{d} \right \rceil$ | \left \lfloor \frac{a}{b} \right \rfloor \quad \left \lceil \frac{c}{d} \right \rceil | ||||
| 斜线与反斜线 Slashes and backslashes | $\left / \frac{a}{b} \right \backslash$ | \left / \frac{a}{b} \right \backslash | ||||
| 上下箭头 Up, down, and up-down arrows | $\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow$ | \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow |
类型 | 样式 | LaTeX
:---- | :---- | :----
混合括号
Delimiters can be mixed,as long as \left and \right match | $\left [ 0,1 \right ) \left \langle \psi \right | $ | \left [ 0,1 \right )
\left \langle \psi \right
如果您不希望某一侧括号显示，可以使用\left. 和 \right.（带有英文句号）
Use \left. and \right. if you do not want a delimiter to appear | $\left . \frac{A}{B} \right } \to X$ | \left . \frac{A}{B} \right } \to X
括号的大小
Size of the delimiters (add "l" or "r" to indicate the side for proper spacing) | $( \bigl( \Bigl( \biggl( \Biggl( \dots \Biggr] \biggr] \Bigr] \bigr] ]$ | ( \bigl( \Bigl( \biggl( \Biggl( \dots \Biggr] \biggr] \Bigr] \bigr] ]
| ${ \bigl{ \Bigl{ \biggl{ \Biggl{ \dots \Biggr\rangle \biggr\rangle \Bigr\rangle \bigr\rangle \rangle$ | { \bigl{ \Bigl{ \biggl{ \Biggl{ \dots
\Biggr\rangle \biggr\rangle \Bigr\rangle \bigr\rangle \rangle
| $| \big| \Big| \bigg| \Bigg| \dots \Bigg | \bigg | \Big | \big | |$ | | \big| \Big| \bigg| \Bigg| \dots \Bigg | \bigg | \Big | \big |
| $\lfloor \bigl\lfloor \Bigl\lfloor \biggl\lfloor \Biggl\lfloor \dots \Biggr\rceil \biggr\rceil \Bigr\rceil \bigr\rceil \rceil$ | \lfloor \bigl\lfloor \Bigl\lfloor \biggl\lfloor \Biggl\lfloor \dots
\Biggr\rceil \biggr\rceil \Bigr\rceil \bigr\rceil \rceil
| $\uparrow \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow \Downarrow$ | \uparrow \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots
\Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow \Downarrow
| $\updownarrow \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow \Updownarrow$ | \updownarrow \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots
\Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow \Updownarrow
| $/ \big/ \Big/ \bigg/ \Bigg/ \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash \backslash$ | / \big/ \Big/ \bigg/ \Bigg/ \dots
\Bigg\backslash \bigg\backslash \Big\backslash \big\backslash \backslash
2.7 颜色 Colors
2.7.1 字体颜色 Font colors
在公式中可以使用\color{options}{math}来调用颜色命令，第一个参数为颜色，第二个参数为公式或文本内容。例如:
{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}
$${\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}$$
x_{1,2}=\frac{{\color{Blue}-b}\pm\sqrt{\color{Red}b^2-4ac}}{\color{Green}2a }
$$x_{1,2}=\frac{{\color{Blue}-b}\pm\sqrt{\color{Red}b^2-4ac}}{\color{Green}2a }$$
注意： 使用\color命令时，请将需要设置颜色的部分用{ }整体扩住，以表明\color函数作用范围。
2.7.2 背景颜色 Background color
在文本环境中可以使用\colorbox{options}{text}来调用背景颜色命令，第一个参数为颜色，第二个颜色为文本内容。例如：
\colorbox{yellow}{Thistext}
$$\colorbox{yellow}{text}$$
注意： 若需要在数学环境中使用\colorbox{}{}，请在第二个参数内加入$\displaystyle + 公式$，例如：
\colorbox{yellow}{$\displaystyle \frac{a}{b}$}`
$$\colorbox{yellow}{$\displaystyle \frac{a}{b}$}$$
2.7.3.1 设置背景颜色 Setting Background color
在公式中可以使用\bbox[options]{math}来调用背景颜色命令，第一个参数为颜色或大小，需注意用[ ]包围，第二个参数为公式。例如:
\bbox[red]{x+y}
2.7.3.2 调整背景大小 Setting Background Size
默认情况下，背景大小为作用范围的最大边界，如需扩大背景，可在第一个参数中加入大小信息，例如：
\bbox[2pt]{x+y} %设置透明背景，并增加2pt额外距离
\bbox[red,5pt]{x+y} %设置红色背景，并增加5pt额外距离
2.7.4 默认支持颜色 Colors supported
| 支 | 持 | 颜 | 色 |
|---|---|---|---|
| ${\color{Apricot}Apricot}$ | ${\color{Emerald}Emerald}$ | ${\color{OliveGreen}OliveGreen}$ | ${\color{RubineRed}RubineRed}$ |
| ${\color{Aquamarine}Aquamarine}$ | ${\color{ForestGreen}ForestGreen}$ | ${\color{Orange}Orange}$ | ${\color{Salmon}Salmon}$ |
| ${\color{Bittersweet}Bittersweet}$ | ${\color{Fuchsia}Fuchsia}$ | ${\color{OrangeRed}OrangeRed}$ | ${\color{SeaGreen}SeaGreen}$ |
| ${\color{Black}Black}$ | ${\color{Goldenrod}Goldenrod}$ | ${\color{Orchid}Orchid}$ | ${\color{Sepia}Sepia}$ |
| ${\color{Blue}Blue}$ | ${\color{Gray}Gray}$ | ${\color{Peach}Peach}$ | ${\color{SkyBlue}SkyBlue}$ |
| ${\color{BlueGreen}BlueGreen}$ | ${\color{Green}Green}$ | ${\color{Periwinkle}Periwinkle}$ | ${\color{SpringGreen}SpringGreen}$ |
| ${\color{BlueViolet}BlueViolet}$ | ${\color{GreenYellow}GreenYellow}$ | ${\color{PineGreen}PineGreen}$ | ${\color{Tan}Tan}$ |
| ${\color{BrickRed}BrickRed}$ | ${\color{JungleGreen}JungleGreen}$ | ${\color{Plum}Plum}$ | ${\color{TealBlue}TealBlue}$ |
| ${\color{Brown}Brown}$ | ${\color{Lavender}Lavender}$ | ${\color{ProcessBlue}ProcessBlue}$ | ${\color{Thistle}Thistle}$ |
| ${\color{BurntOrange}BurntOrange}$ | ${\color{LimeGreen}LimeGreen}$ | ${\color{Purple}Purple}$ | ${\color{Turquoise}Turquoise}$ |
| ${\color{CadetBlue}CadetBlue}$ | ${\color{Magenta}Magenta}$ | ${\color{RawSienna}RawSienna}$ | ${\color{Violet}Violet}$ |
| ${\color{CarnationPink}CarnationPink}$ | ${\color{Mahogany}Mahogany}$ | ${\color{Red}Red}$ | ${\color{VioletRed}VioletRed}$ |
| ${\color{Cerulean}Cerulean}$ | ${\color{Maroon}Maroon}$ | ${\color{RedOrange}RedOrange}$ | ${\color{White}White}$ |
| ${\color{CornflowerBlue}CornflowerBlue}$ | ${\color{Melon}Melon}$ | ${\color{RedViolet}RedViolet}$ | ${\color{WildStrawberry}WildStrawberry}$ |
| ${\color{Cyan}Cyan}$ | ${\color{MidnightBlue}MidnightBlue}$ | ${\color{Rhodamine}Rhodamine}$ | ${\color{Yellow}Yellow}$ |
| ${\color{Dandelion}Dandelion}$ | ${\color{Mulberry}Mulberry}$ | ${\color{RoyalBlue}RoyalBlue}$ | ${\color{YellowGreen}YellowGreen}$ |
| ${\color{DarkOrchid}DarkOrchid}$ | ${\color{NavyBlue}NavyBlue}$ | ${\color{RoyalPurple}RoyalPurple}$ | ${\color{YellowOrange}YellowOrange}$ |
2.7.5 使用RGB颜色 Use RGB color
如需在\color命令中使用自选RGB颜色，可使用{\color[RGB]{0,0,0} }命令，例如：
{\color[RGB]{0,200,0} e^{i \pi} + 1 = 0}
$${\color[RGB]{0,200,0} e^{i \pi} + 1 = 0}$$
2.7.6 自定义颜色 Custom colors
可使用\definecolor命令进行自定义颜色，例如：
\definecolor{mygreen}{RGB}{0,200,0} {\color{mygreen}e^{i \pi} + 1 = 0 }
$$\definecolor{mygreen}{RGB}{0,200,0} {\color{mygreen}e^{i \pi} + 1 = 0 }$$
2.8 字体字号 Fonts & Size
2.8.1 字体 Fonts
如您需要替换公式内容的字体，可以点击工具栏下方的【字体】按钮进行相关操作。因有一些特定代码Mathjax3.0并没有相关支持，所以下表仅做参考。
| 样式 | LaTeX |
|---|---|
| 希腊字母 Greek alphabet | |
| $\mathrm{A} \mathrm{B} \Gamma \Delta \mathrm{E} \mathrm{Z} \mathrm{H} \Theta$ | \mathrm{A} \mathrm{B} \Gamma \Delta \mathrm{E} \mathrm{Z} \mathrm{H} \Theta |
| $\mathrm{I} \mathrm{K} \Lambda \mathrm{M} \mathrm{N} \Xi \mathrm{O} \Pi$ | \mathrm{I} \mathrm{K} \Lambda \mathrm{M} \mathrm{N} \Xi \mathrm{O} \Pi |
| $\mathrm{R} \Sigma \mathrm{T} \Upsilon \Phi \mathrm{X} \Psi \Omega$ | \mathrm{R} \Sigma \mathrm{T} \Upsilon \Phi \mathrm{X} \Psi \Omega |
| $\alpha \beta \gamma \delta \epsilon \zeta \eta \theta$ | \alpha \beta \gamma \delta \epsilon \zeta \eta \theta |
| $\iota \kappa \lambda \mu \nu \xi \omicron \pi$ | \iota \kappa \lambda \mu \nu \xi \omicron \pi |
| $\rho \sigma \tau \upsilon \phi \chi \psi \omega$ | \rho \sigma \tau \upsilon \phi \chi \psi \omega |
| $\varGamma \varDelta \varTheta \varLambda \varXi \varPi \varSigma \varPhi \varUpsilon \varOmega$ | \varGamma \varDelta \varTheta \varLambda \varXi \varPi \varSigma \varPhi \varUpsilon \varOmega |
| $\varepsilon \digamma \varkappa \varpi \varrho \varsigma \vartheta \varphi$ | \varepsilon \digamma \varkappa \varpi \varrho \varsigma \vartheta \varphi |
| 希伯来字母 Hebrew symbols | |
| $\aleph \beth \gimel \daleth$ | \aleph \beth \gimel \daleth |
| 黑板报体 Blackboard bold/scripts | |
| $\mathbb{ABCDEFGHI}$ | \mathbb{ABCDEFGHI} |
| $\mathbb{JKLMNOPQR}$ | \mathbb{JKLMNOPQR} |
| $\mathbb{STUVWXYZ}$ | \mathbb{STUVWXYZ} |
| 粗体 Boldface | |
| $\mathbf{ABCDEFGHI}$ | \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 Boldface (Greek) | |
| $\boldsymbol{\mathrm{A} \mathrm{B} \Gamma \Delta \mathrm{E} \mathrm{Z} \mathrm{H} \Theta}$ | \boldsymbol{\mathrm{A} \mathrm{B} \Gamma \Delta \mathrm{E} \mathrm{Z} \mathrm{H} \Theta} |
| $\boldsymbol{\mathrm{I} \mathrm{K} \Lambda \mathrm{M} \mathrm{N} \Xi \mathrm{O} \Pi}$ | \boldsymbol{\mathrm{I} \mathrm{K} \Lambda \mathrm{M} \mathrm{N} \Xi \mathrm{O} \Pi} |
| $\boldsymbol{\mathrm{R} \Sigma \mathrm{T} \Upsilon \Phi \mathrm{X} \Psi \Omega}$ | \boldsymbol{\mathrm{R} \Sigma \mathrm{T} \Upsilon \Phi \mathrm{X} \Psi \Omega} |
| $\boldsymbol{\alpha \beta \gamma \delta \epsilon \zeta \eta \theta}$ | \boldsymbol{\alpha \beta \gamma \delta \epsilon \zeta \eta \theta} |
2.8.2 字号 Size
| 样式 | LaTeX |
|---|---|
| ${\tiny abc巨小tiny}$ | {\tiny abc巨小tiny} |
| ${\scriptsize abc超小scriptsize}$ | {\scriptsize abc超小scriptsize} |
| ${\small abc小small}$ | {\small abc小small} |
| ${\normalsize abc正常normal}$ | {\normalsize abc正常normal} |
| ${\large abc大large}$ | {\large abc大large} |
| ${\Large abc超大Large}$ | {\Large abc超大Large} |
| ${\LARGE abc特大LARGE}$ | {\LARGE abc特大LARGE} |
| ${\huge abc巨大huge}$ | {\huge abc巨大huge} |
| ${\Huge abc巨无霸Huge}$ | {\Huge abc巨无霸Huge} |
{\tiny x+y=z}x+y=z{\Huge x+y=z}
$${\tiny x+y=z}x+y=z{\Huge x+y=z}$$