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。

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。

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}

注意： 其中\cancel命令需要cancel扩展包支持，cancel扩展包是一款自定义宏包，如需使用请在公式页面右上角【设置】处勾选后使用。

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+y3}{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{e3/x}{x^2}, dx
$\int_{1}^{3}\frac{e^3/x}{x^2}\, dx$	\int_{1}^{3}\frac{e3/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。

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}

2.3 上下标 Sub & Super

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}{_34}X_a^b
${}_1^2\!\Omega_3^4$	{}_1^2!\Omega_34
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
积分 Integral	$$\int\limits_{1}^{3}\frac{e3/x}{x^2}, dx$$	\int\limits_{1}^{3}\frac{e3/x}{x^2}, dx
积分 Integral (alternative limits style)	$$\int_{1}^{3}\frac{e3/x}{x^2}, dx$$	\int_{1}^{3}\frac{e3/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)
条件定义 Case distinctions	$f(n) =\begin{cases} n/2, & \text{if }n\text{ is even} \\ 3n+1, & \text{if }n\text{ is odd} \end{cases}$	f(n) = \begin{cases} n/2, & \text{if }n\text{ is even} \\ 3n+1, & \text{if }n\text{ is odd} \end{cases}
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+b2 \\ \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+b2 \\ \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

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。

2.6 空格与换行 Spacing & Line breaking

2.6.1 空格 Spacing

MathJax能够自动处理大多数空格间距的大小，但如果您需要自己控制，可参考下表。

序号 | 样式 | LaTeX | 中文说明英文说明
:----: | :----: | :---- | :---- | :----
1 | $a \qquad b$ | a \qquad b | 双空格 | double quad space
2 | $a \quad b$ | a \quad b | 单空格 | quad space
3 | $a\ b$ | a\ b | 字符空格 | text space
4 | $a \text{ } b$ | a \text{ } b | 文本模式中的字符空格 | text space in text mode
5 | $a\;b$ | a;b | 大空格 | large space
6 | $a\,b$ | a,b | 小空格 | small space
7 | $ab$ | ab | 极小空格(用于乘因子) | tiny space (use for multiplication of factors)
8 | $a b$ | a b | 极小空格(用于区分其它语法) | tiny space (syntax space ignored)
9 | $\mathit{ab}$ | \mathit{ab} | 没有空格(用于多字母变量) | no space (use for multi-letter variables)
10 | $a\!b$ | a!b | 负空格 | small negative space

2.6.2 换行 Line breaking

在MathJax3.0中取消了使用\\进行强制换行的功能，因此本页面也采取同样的逻辑，默认为单行公式环境。\\强制换行命令只在支持多行编辑的数学环境中才起作用，如eqnarray环境、align环境、array环境、matrix环境等等。如您需要显示多行公式，请在此类环境中输入公式，具体用法参见章节[2.10](#2.10 LaTeX环境 LaTeX environments)。

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}
$\boldsymbol{\iota \kappa \lambda \mu \nu \xi \omicron \pi}$	\boldsymbol{\iota \kappa \lambda \mu \nu \xi \omicron \pi}
$\boldsymbol{\rho \sigma \tau \upsilon \phi \chi \psi \omega}$	\boldsymbol{\rho \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 Italics (拉丁字母默认default for Latin alphabet)
$\mathit{0123456789}$	\mathit{0123456789}
罗马体 Roman typeface	Roman typeface
$\mathrm{ABCDEFGHI}$	\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 Sans serif
$\mathsf{ABCDEFGHI}$	\mathsf{ABCDEFGHI}
$\mathsf{JKLMNOPQR}$	\mathsf{JKLMNOPQR}
$\mathsf{STUVWXYZ}$	\mathsf{STUVWXYZ}
$\mathsf{abcdefghijklm}$	\mathsf{abcdefghijklm}
$\mathsf{nopqrstuvwxyz}$	\mathsf{nopqrstuvwxyz}
$\mathsf{0123456789}$	\mathsf{0123456789}
手写体 Calligraphy/花体 script
$\mathcal{ABCDEFGHI}$	\mathcal{ABCDEFGHI}
$\mathcal{JKLMNOPQR}$	\mathcal{JKLMNOPQR}
$\mathcal{STUVWXYZ}$	\mathcal{STUVWXYZ}
德文尖角体 Fraktur typeface
$\mathfrak{ABCDEFGHI}$	\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 Small scriptstyle text
${\scriptstyle\text{abcdefghijklm}}$	{\scriptstyle\text{abcdefghijklm}}

3 关于 About

如有任何问题可以点击页面下方的邮箱图标向我们反馈，感谢您的使用！

4 参考文献 Reference

1. LaTeX公式编辑器
 2. MathJax Documentation
3. Displaying a formula
4. mathjax/MathJax: Beautiful math in all browsers - GitHub
5. mhchem for MathJax

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	$\left	\frac{a}{b} \right \vert \quad \left \Vert \frac{c}{d} \right \|$
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
混合括号 Delimiters can be mixed,as long as \left and \right match	$\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
$\lfloor \bigl\lfloor \Bigl\lfloor \biggl\lfloor \Biggl\lfloor \dots \Biggr\rceil \biggr\rceil \Bigr\rceil \bigr\rceil \rceil$	\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