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 | \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
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:
其他积分符号:
\unicode{8753} \unicode{x2231}_c
\unicode{8754} \unicode{x2232}_c
\unicode{8755} \unicode{x2233}_c
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:
但如果是在较大的表达式中这些符号就显得不合适了
正确用法应配合\left
和\right
命令使用。
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:
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:
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:
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:
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:
默认支持颜色 Colors supported
支 | 持 | 颜 | 色 |
---|---|---|---|
\({\color{Apricot}Apricot}\) | \({\color{Emerald}Emerald}\) | \({\color{OliveGreen}OliveGreen}\) | \({\color{RubineRed}RubineRed}\) |
\({\color{Aquamarine}Aquamarine}\) | \({\color{ForestGreen}ForestGreen}\) | \({\color{Orange}Orange}\) | \({\color{Salmon}Salmon}\) |
\({\color{Bittersweet}Bittersweet}\) | \({\color{Fuchsia}Fuchsia}\) | \({\color{OrangeRed}OrangeRed}\) | \({\color{SeaGreen}SeaGreen}\) |
\({\color{Black}Black}\) | \({\color{Goldenrod}Goldenrod}\) | \({\color{Orchid}Orchid}\) | \({\color{Sepia}Sepia}\) |
\({\color{Blue}Blue}\) | \({\color{Gray}Gray}\) | \({\color{Peach}Peach}\) | \({\color{SkyBlue}SkyBlue}\) |
\({\color{BlueGreen}BlueGreen}\) | \({\color{Green}Green}\) | \({\color{Periwinkle}Periwinkle}\) | \({\color{SpringGreen}SpringGreen}\) |
\({\color{BlueViolet}BlueViolet}\) | \({\color{GreenYellow}GreenYellow}\) | \({\color{PineGreen}PineGreen}\) | \({\color{Tan}Tan}\) |
\({\color{BrickRed}BrickRed}\) | \({\color{JungleGreen}JungleGreen}\) | \({\color{Plum}Plum}\) | \({\color{TealBlue}TealBlue}\) |
\({\color{Brown}Brown}\) | \({\color{Lavender}Lavender}\) | \({\color{ProcessBlue}ProcessBlue}\) | \({\color{Thistle}Thistle}\) |
\({\color{BurntOrange}BurntOrange}\) | \({\color{LimeGreen}LimeGreen}\) | \({\color{Purple}Purple}\) | \({\color{Turquoise}Turquoise}\) |
\({\color{CadetBlue}CadetBlue}\) | \({\color{Magenta}Magenta}\) | \({\color{RawSienna}RawSienna}\) | \({\color{Violet}Violet}\) |
\({\color{CarnationPink}CarnationPink}\) | \({\color{Mahogany}Mahogany}\) | \({\color{Red}Red}\) | \({\color{VioletRed}VioletRed}\) |
\({\color{Cerulean}Cerulean}\) | \({\color{Maroon}Maroon}\) | \({\color{RedOrange}RedOrange}\) | \({\color{White}White}\) |
\({\color{CornflowerBlue}CornflowerBlue}\) | \({\color{Melon}Melon}\) | \({\color{RedViolet}RedViolet}\) | \({\color{WildStrawberry}WildStrawberry}\) |
\({\color{Cyan}Cyan}\) | \({\color{MidnightBlue}MidnightBlue}\) | \({\color{Rhodamine}Rhodamine}\) | \({\color{Yellow}Yellow}\) |
\({\color{Dandelion}Dandelion}\) | \({\color{Mulberry}Mulberry}\) | \({\color{RoyalBlue}RoyalBlue}\) | \({\color{YellowGreen}YellowGreen}\) |
\({\color{DarkOrchid}DarkOrchid}\) | \({\color{NavyBlue}NavyBlue}\) | \({\color{RoyalPurple}RoyalPurple}\) | \({\color{YellowOrange}YellowOrange}\) |
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:
自定义颜色 Custom colors
可使用\definecolor
命令进行自定义颜色,例如:
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:
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:
$$ \begin{eqnarray} E = mc^2 \tag{1}\ e^{i\pi}+1=0 \tag{2} \end{eqnarray} $$ 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:
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:
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:
$$ \begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix} $$ 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:
\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。
$$ \begin{align} y = x \ y = 3x^2 + 5x + 2 \end{align} $$ 可使用&
字符调整对齐位置。
array环境
\begin{array}是数组环境,需手动输入对齐参数:
\begin{array}{|c|l|r|}
a & b & S \\
\hline
0 & 0 & 1 \\
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
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。
同位素
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:
反应箭头
mhchem提供了方便的反应箭头输入模式
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
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\(\downarrow\)
一些复杂的例子
\ce{Zn^2+ <=>[+ 2OH-][+ 2H+] $\underset{\text{amphoteres Hydroxid}}{\ce{Zn(OH)2 v}}$ <=>[+ 2OH-][+ 2H+] $\underset{\text{Hydroxozikat}}{\ce{[Zn(OH)4]^2-}}$}
\ce{Hg^2+ ->[I-] $\underset{\mathrm{red}}{\ce{HgI2}}$ ->[I-] $\underset{\mathrm{red}}{\ce{[Hg^{II}I4]^2-}}$}
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:
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:
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)。
以@
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:
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或十六进制Unicode代码,注意十六进制编码需在前面添加标识位x
,例如:
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:
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