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数学公式编辑 Displaying a formula

符号与字母 Symbol and Alphabet

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:\(\mathrm{A}\)

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

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

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

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

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

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

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

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

运算与函数 Operations & Functions

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
cancel3 \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。

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

Text Only
\operatorname{mydefine}x
$$ \operatorname{mydefine}x $$

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}}

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

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

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

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

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:

Text Only
\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)

unicode2

Text Only
\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

unicode3

其他积分符号:

Text Only
\unicode{8753} \unicode{x2231}_c
\unicode{8754} \unicode{x2232}_c
\unicode{8755} \unicode{x2233}_c

unicode4

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}

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}{_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}
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 \(\(\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx\)\) \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

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+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

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:

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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

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( \frac{\pi}{2} )^n
\[ ( \frac{\pi}{2} )^n \]

正确用法应配合\left\right命令使用。

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\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
$\left \frac{a}{b} \right \vert \quad \left \Vert \frac{c}{d} \right |$
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
\(\lfloor \bigl\lfloor \Bigl\lfloor \biggl\lfloor \Biggl\lfloor \dots \Biggr\rceil \biggr\rceil \Bigr\rceil \bigr\rceil \rceil\) \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

空格与换行 Spacing & Line breaking

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

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

颜色 Colors

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:

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{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}
$$ {\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1} $$

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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。

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:

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\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:

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\colorbox{yellow}{$\displaystyle \frac{a}{b}$}`
$$ \colorbox{yellow}{\(\displaystyle \frac{a}{b}\)} $$

或者您可以使用 Bbox扩展 来替换\colorbox命令,详见下条2.7.3。

用Bbox扩展设置背景颜色 Setting background color with Bbox

Bbox扩展是一款自定义宏包,如需使用请在公式页面右上角【设置】处勾选后使用。 具体用法如下:

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:

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\bbox[red]{x+y}
bbox1

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:

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\bbox[2pt]{x+y}  %设置透明背景,并增加2pt额外距离
bbox2

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\bbox[red,5pt]{x+y}  %设置红色背景,并增加5pt额外距离
bbox3

默认支持颜色 Colors supported

\({\color{Apricot}Apricot}\) \({\color{Emerald}Emerald}\) \({\color{OliveGreen}OliveGreen}\) \({\color{RubineRed}RubineRed}\)
\({\color{Aquamarine}Aquamarine}\) \({\color{ForestGreen}ForestGreen}\) \({\color{Orange}Orange}\) \({\color{Salmon}Salmon}\)
\({\color{Bittersweet}Bittersweet}\) \({\color{Fuchsia}Fuchsia}\) \({\color{OrangeRed}OrangeRed}\) \({\color{SeaGreen}SeaGreen}\)
\({\color{Black}Black}\) \({\color{Goldenrod}Goldenrod}\) \({\color{Orchid}Orchid}\) \({\color{Sepia}Sepia}\)
\({\color{Blue}Blue}\) \({\color{Gray}Gray}\) \({\color{Peach}Peach}\) \({\color{SkyBlue}SkyBlue}\)
\({\color{BlueGreen}BlueGreen}\) \({\color{Green}Green}\) \({\color{Periwinkle}Periwinkle}\) \({\color{SpringGreen}SpringGreen}\)
\({\color{BlueViolet}BlueViolet}\) \({\color{GreenYellow}GreenYellow}\) \({\color{PineGreen}PineGreen}\) \({\color{Tan}Tan}\)
\({\color{BrickRed}BrickRed}\) \({\color{JungleGreen}JungleGreen}\) \({\color{Plum}Plum}\) \({\color{TealBlue}TealBlue}\)
\({\color{Brown}Brown}\) \({\color{Lavender}Lavender}\) \({\color{ProcessBlue}ProcessBlue}\) \({\color{Thistle}Thistle}\)
\({\color{BurntOrange}BurntOrange}\) \({\color{LimeGreen}LimeGreen}\) \({\color{Purple}Purple}\) \({\color{Turquoise}Turquoise}\)
\({\color{CadetBlue}CadetBlue}\) \({\color{Magenta}Magenta}\) \({\color{RawSienna}RawSienna}\) \({\color{Violet}Violet}\)
\({\color{CarnationPink}CarnationPink}\) \({\color{Mahogany}Mahogany}\) \({\color{Red}Red}\) \({\color{VioletRed}VioletRed}\)
\({\color{Cerulean}Cerulean}\) \({\color{Maroon}Maroon}\) \({\color{RedOrange}RedOrange}\) \({\color{White}White}\)
\({\color{CornflowerBlue}CornflowerBlue}\) \({\color{Melon}Melon}\) \({\color{RedViolet}RedViolet}\) \({\color{WildStrawberry}WildStrawberry}\)
\({\color{Cyan}Cyan}\) \({\color{MidnightBlue}MidnightBlue}\) \({\color{Rhodamine}Rhodamine}\) \({\color{Yellow}Yellow}\)
\({\color{Dandelion}Dandelion}\) \({\color{Mulberry}Mulberry}\) \({\color{RoyalBlue}RoyalBlue}\) \({\color{YellowGreen}YellowGreen}\)
\({\color{DarkOrchid}DarkOrchid}\) \({\color{NavyBlue}NavyBlue}\) \({\color{RoyalPurple}RoyalPurple}\) \({\color{YellowOrange}YellowOrange}\)

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:

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{\color[RGB]{0,200,0} e^{i \pi} + 1 = 0} 

\[ {\color[RGB]{0,200,0} e^{i \pi} + 1 = 0} \]

自定义颜色 Custom colors

可使用\definecolor命令进行自定义颜色,例如:

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\definecolor{mygreen}{RGB}{0,200,0} {\color{mygreen}e^{i \pi} + 1 = 0 } 
$$ \definecolor{mygreen}{RGB}{0,200,0} {\color{mygreen}e^{i \pi} + 1 = 0 } $$

字体字号 Fonts & Size

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}}

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}

注意:如您导出SVG格式,理论上字体的整体大小并无用处,因为SVG为矢量图,所以大可不必担心图片不清晰的问题,即便是您选择下载PNG格式的公式图片,图片整体尺寸也被默认设定为4K。所以此处的字号命令只为设置公式相对大小时使用,例如:

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{\tiny x+y=z}x+y=z{\Huge x+y=z}
\[ {\tiny x+y=z}x+y=z{\Huge x+y=z} \]

方程式编号 Equation numbering

本页面可采用开启AMS宏包的方式获得方程自动编号,AMS拓展包的具体开启方式请参考2.11.4。

默认自动编号只在部分环境中起作用,如{equation}、{eqnarray}等,例如:

在AMS包开启状态下,会在公式后进行自动编号:

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\begin{eqnarray}
E = mc^2 \\
e^{i\pi}+1=0 
\end{eqnarray}

$$ \begin{eqnarray} E = mc^2 \tag{1}\ e^{i\pi}+1=0 \tag{2} \end{eqnarray} $$ 如您在开启了AMS包状态下,全部公式均不希望出现编号,可使用{equation*}、或者{eqnarray*}环境,如:

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\begin{eqnarray*}
E = mc^2 \\
e^{i\pi}+1=0 
\end{eqnarray*}
\[ \begin{eqnarray*} E = mc^2 \\ e^{i\pi}+1=0 \end{eqnarray*} \]

如您在开启了AMS包状态下,个别公式不希望出现编号,或者个别公式希望出现特有编号,可在公式后面使用\tag{}或者\notag命令,如:

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\begin{eqnarray}
E = mc^2 \notag\\
e^{i\pi}+1=0 \tag{b}
\end{eqnarray}
\[ \begin{eqnarray} E = mc^2 \notag\\ e^{i\pi}+1=0 \tag{b} \end{eqnarray} \]

LaTeX环境 LaTeX environments

环境通常是对代码段的整体描述,用于表达此段代码的角色,如,是矩阵?单行公式?多行公式?还是对齐公式等(本页面不支持文档环境),不同的环境起到的作用不同。以\begin{environments}开始,\end{environments}结束。如最常用的矩阵命令,也是环境的一种,用法如下:

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\begin{bmatrix}
1 & 0 \\
0 & 1
\end{bmatrix}

$$ \begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix} $$ 具体矩阵用法可参考章节2.4,下面给出几种其它常用环境的具体用法:

equation环境

\begin{equation}是单行公式环境,这意味着在此环境中只可以输入单行公式,同时\\等强制换行命令失效。如需对单行长公式进行强制换行,可使用\begin{split}环境进行嵌套,并用&字符表示对齐位置,如:

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\begin{equation}
\begin{split}
 e ^ { x } = & 1 + \frac { x } { 1 ! } + \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 3 } } { 3 ! } + \cdots \\
& - \infty < x < \infty  
\end{split}
\end{equation}
\[ \begin{equation} \begin{split} e ^ { x } = & 1 + \frac { x } { 1 ! } + \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 3 } } { 3 ! } + \cdots \\ & - \infty < x < \infty \end{split} \end{equation} \]

eqnarray环境

\begin{eqnarray}是多行公式环境,环境内的所有公式默认右对齐,由LaTeX内核提供。

align环境

\begin{align}是多行公式环境,环境内的所有公式默认右对齐,由amsmath提供,排版较为灵活,如需表示多行公式推荐使用此环境。

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\begin{align}
y = x \\
y = 3x^2 + 5x + 2 
\end{align}

$$ \begin{align} y = x \ y = 3x^2 + 5x + 2 \end{align} $$ 可使用&字符调整对齐位置。

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\begin{align}
y & = x \\
y & = 3x^2 + 5x + 2 
\end{align}
\[ \begin{align} y & = x \\ y & = 3x^2 + 5x + 2 \end{align} \]

array环境

\begin{array}是数组环境,需手动输入对齐参数:

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\begin{array}{|c|l|r|} 
a & b & S \\
\hline 
0 & 0 & 1 \\
0 & 1 & 1 \\
1 & 0 & 1 \\
1 & 1 & 0 \\
\end{array}
\[ \begin{array}{|c|l|r|} a & b & S \\ \hline 00 & 00 & 10 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \\ \end{array} \]

对齐参数使用c l r分别表示居中、居左和居右,如需竖线边框可直接在对齐参数区域输入|即可,如需横线边框可使用\hline命令。

更多环境使用可参考章节2.4

TeX扩展包使用 TeX and LaTeX extensions

physics扩展包

physics是一款便携出入物理符号、矩阵及方程的拓展包,使用前需要在设置中手动勾选。其具体用法可参考此文档

mhchem扩展包

mhchem是一款便捷输入化学方程式的扩展包,使用前需要在设置中手动勾选。其具体用法如下:

引用

基本命令为\ce{},可在{}中输入化学相关符号。

化学式

在化学环境中,数字0123456789默认为下标,+-默认为上标,如需强制上标可使用^符号,例如

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\ce{H2O}  \ce{Sb2O3}  \ce{H+}  \ce{CrO4^2-}  \ce{[AgCl2]-}  \ce{Y^99+}  \ce{Y^{99+}}
ce1

化学计量数

在化学环境中,计量数应与前面的大写字母使用空格分割,对于分数计量数,只需输入1/2即可显示\(\frac{1}{2}\)的效果,如特殊情况需要显示1/2格式,请用( )扩起。

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\ce{2H2O}  \ce{0.5 H2O}  \ce{1/2H2O}  \ce{(1/2)H2O}  \ce{$n$ H2O}

ce2

同位素

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\ce{^{227}_{90}Th+}  \ce{^227_90Th+}  \ce{^{0}_{-1}n^{-}}  \ce{^0_-1n-}

ce3

在一个复杂的化学式中,上标属于左侧元素还是右侧元素可能并不会明显的体现出来,但为了规范输入,建议使用{}分隔符作为区分:

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\ce{H{}^3HO}  \ce{H^3HO}

ce4

反应箭头

mhchem提供了方便的反应箭头输入模式

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\ce{A -> B}   \ce{A <- B}  \ce{A <-> B} 

ce5

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\ce{A <--> B}  \ce{A <=> B}  \ce{A <=>> B}  \ce{A <<=> B}

ce6

箭头可以带有两个参数,即>[][],第一个[]表示上方参数,第二个[]表示下方参数

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\ce{A ->[H2O] B}   \ce{A ->[{上方文字}][{下方文字}] B}

ce7

气体和沉淀

在化学环境中可使用独立的^表示气体\(\uparrow\),使用独立的v(小写字母v)表示沉淀\(\downarrow\)

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\ce{SO4^2- + Ba^2+ -> BaSO4 v}

ce8

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\ce{A v B (v) -> B ^ B (^)}

ce9

一些复杂的例子

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\ce{Zn^2+  <=>[+ 2OH-][+ 2H+]  $\underset{\text{amphoteres Hydroxid}}{\ce{Zn(OH)2 v}}$  <=>[+ 2OH-][+ 2H+]  $\underset{\text{Hydroxozikat}}{\ce{[Zn(OH)4]^2-}}$}

ce10

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\ce{$K = \frac{[\ce{Hg^2+}][\ce{Hg}]}{[\ce{Hg2^2+}]}$}

ce11

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\ce{$K = \ce{\frac{[Hg^2+][Hg]}{[Hg2^2+]}}$}

ce12

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\ce{Hg^2+ ->[I-]  $\underset{\mathrm{red}}{\ce{HgI2}}$  ->[I-]  $\underset{\mathrm{red}}{\ce{[Hg^{II}I4]^2-}}$}

ce13

cancel扩展包

cancel扩展包为显示分数中约分线的TeX宏包,或显示其他划除效果,基本命令为\cancel{},例如:

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\cfrac{x}{1 + \cfrac{\cancel{y}}{\cancel{y}}} = \cfrac{x}{2}

cancel1

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\cancel{e^{i \pi} + 1 =0}

cancel2

Ams扩展包

本页面集成了大部分ams命令,即默认已打开。本拓展只为自动显示公式序号使用。

如,以下代码:

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\begin{equation}
E = mc^2
\end{equation}

在ams包未开启状态下: $$ \begin{equation} E = mc^2 \end{equation} $$ 在ams包开启状态下: $$ \begin{equation} E = mc^2 \tag{1} \end{equation} $$ 具体自动编号用法请参考章节2.9

AmsCd扩展包

amsCd扩展包是一款生成矩阵图的TeX宏包环境,基本环境命令为\begin{CD} \end{CD},基本用法如下:

@<<<表示左箭头;

@>>>表示右箭头;

@AAA表示上箭头;

@VVV表示下箭头;

@=表示水平等号;

@|表示数值等号;

@.表示空箭头(占位)。

@表示箭头开始,以<、>、A、V等表示箭头方向。如需在箭头上或下插入变量,直接在第一和第二,或第二和第三个箭头方向符号中插入即可,用法实例如下:

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\begin{CD}
A @>a>> B\\
@VVbV @VVcV\\
C @>d>> D
\end{CD}

cd1

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\begin{CD}
A @>a>b> B\\
@VlVrV @AlArA\\
C @<a<b< D
\end{CD}

cd2

Unicode扩展包

Unicode扩展包一款显示Unicode字符的TeX宏包,基本命令为\unicode{}{}中参数应输入指定字符的十进制十六进制Unicode代码,注意十六进制编码需在前面添加标识位x,例如:

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\unicode{8751} \unicode{x220f}

unicode1

Bbox扩展包

Bbox扩展包一款用于设置公式背景颜色的TeX宏包,具体用法参见2.7.3

NoErrors扩展包

NoErrors扩展包是一款阻止显示 TeX 错误消息的宏包,使用后将不会像是代码具体错误,而只会显示原始 TeX 代码。

NewCommand扩展包

Newcommand扩展包提供了\def, \newcommand,\renewcommand,\let,\newenvironment 和 \renewenvironment 宏命令,用于在 TeX中创建新的宏和环境。例如:

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\def\RR{{\bf R}}  %将{\bf R}(加粗的R)定义为\RR
\RR               %调用\RR命令

new1

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!

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


via: https://github.com/QianJianTech/LaTeXLive/blob/master/README.md

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