LaTeX 数学公式语法手册
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保留字符
LaTeX 环境中具有特殊含义的保留字符,不能直接使用,必须通过指定的语法实现:
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | # | \# | 6 | { | \{ |
2 | % | \% | 7 | } | \} |
3 | ∧ | ^\wedge | 8 | ∼ | \sim |
4 | & | \& | 9 | ∖ | \backslash |
5 | _ | \_ | | | |
希腊字母
序号 | 标准符号 | LaTeX | 首字母大写 | LaTeX | 使用 var 前缀 | LaTeX | 读音 |
---|
1 | α | \alpha | | | | | /ˈælfə/ |
2 | β | \beta | | | | | /ˈbeɪtə/ |
3 | γ | \gamma | Γ | \Gamma | Γ | \varGamma | /ˈɡæmə/ |
4 | δ | \delta | Δ | \Delta | Δ | \varDelta | /ˈdɛltə/ |
5 | ϵ | \epsilon | | | ε | \varepsilon | /ˈɛpsɪlɒn/ |
6 | ζ | \zeta | | | | | /ˈzeɪtə/ |
7 | η | \eta | | | | | /ˈeɪtə/ |
8 | θ | \theta | Θ | \Theta | ϑ、Θ | \vartheta 、\varTheta | /ˈθiːtə/ |
9 | ι | \iota | | | | | /aɪˈoʊtə/ |
10 | κ | \kappa | | | ϰ | \varkappa | /ˈkæpə/ |
11 | λ | \lambda | Λ | \Lambda | Λ | \varLambda | /ˈlæmdə/ |
12 | μ | \mu | | | | | /mjuː/ |
13 | ν | \nu | | | | | /njuː/ |
14 | ξ | \xi | Ξ | \Xi | Ξ | \varXi | /zaɪ, ksaɪ/ |
15 | o | o | O | O | | | /ˈɒmɪkrɒn/ |
16 | π | \pi | Π | \Pi | ϖ、Π | \varpi 、\varPi | /paɪ/ |
17 | ρ | \rho | | | ϱ | \varrho | /roʊ/ |
18 | σ | \sigma | Σ | \Sigma | ς、Σ | \varsigma 、\varSigma | /ˈsɪɡmə/ |
19 | τ | \tau | | | | | /taʊ, tɔː/ |
20 | υ | \upsilon | Υ | \Upsilon | Υ | \varUpsilon | /ˈʌpsɪlɒn/ |
21 | ϕ | \phi | Φ | \Phi | φ、Φ | \varphi 、\varPhi | /faɪ/ |
22 | χ | \chi | | | | | /kaɪ/ |
23 | ψ | \psi | Ψ | \Psi | Ψ | \varPsi | /psaɪ/ |
24 | ω | \omega | Ω | \Omega | Ω | \varOmega | /oʊˈmeɪɡə/ |
25 | ϝ | \digamma | | | | | /daɪ'gæmə/ |
希伯来字母
序号 | 符号 | LaTeX | 英文 | 序号 | 符号 | LaTeX | 英文 |
---|
1 | ℵ | \aleph | aleph | 3 | ℷ | \gimel | gimel |
2 | ℶ | \beth | beth | 4 | ℸ | \daleth | daleth |
二元运算符
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | + | + | 20 | ∙ | \bullet |
2 | − | - | 21 | ⊕ | \oplus |
3 | × | \times | 22 | ⊖ | \ominus |
4 | ÷ | \div | 23 | ⊙ | \odot |
5 | ± | \pm | 24 | ⊘ | \oslash |
6 | ∓ | \mp | 25 | ⊗ | \otimes |
7 | ◃ | \triangleleft | 26 | ◯ | \bigcirc |
8 | ▹ | \triangleright | 27 | ⋄ | \diamond |
9 | ⋅ | \cdot | 28 | ⊎ | \uplus |
10 | ∖ | \setminus | 29 | △ | \bigtriangleup |
11 | ⋆ | \star | 30 | ▽ | \bigtriangledown |
12 | ∗ | \ast | 31 | ⊲ | \lhd |
13 | ∪ | \cup | 32 | ⊳ | \rhd |
14 | ∩ | \cap | 33 | ⊴ | \unlhd |
15 | ⊔ | \sqcup | 34 | ⊵ | \unrhd |
16 | ⊓ | \sqcap | 35 | ⨿ | \amalg |
17 | ∨ | \vee | 36 | ≀ | \wr |
18 | ∧ | \wedge | 37 | † | \dagger |
19 | ∘ | \circ | 38 | ‡ | \ddagger |
二元关系符
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | = | = | 49 | ⪈ | \gneq |
2 | ≠ | \ne | 50 | ≧ | \geqq |
3 | ≠ | \neq | 51 | ≱ | \ngeq |
4 | ≡ | \equiv | 52 | ≱ | \ngeqq |
5 | ≢ | \not\equiv | 53 | ≩ | \gneqq |
6 | ≐ | \doteq | 54 | ≩ | \gvertneqq |
7 | ≑ | \doteqdot | 55 | ≶ | \lessgtr |
8 | =def | \overset{\underset{\mathrm{def}}{}}{=} | 56 | ⋚ | \lesseqgtr |
9 | := | := | 57 | ⪋ | \lesseqqgtr |
10 | ∼ | \sim | 58 | ≷ | \gtrless |
11 | ≁ | \nsim | 59 | ⋛ | \gtreqless |
12 | ∽ | \backsim | 60 | ⪌ | \gtreqqless |
13 | ∼ | \thicksim | 61 | ⩽ | \leqslant |
14 | ≃ | \simeq | 62 | ⪇ | \nleqslant |
15 | ⋍ | \backsimeq | 63 | ⪕ | \eqslantless |
16 | ≂ | \eqsim | 64 | ⩾ | \geqslant |
17 | ≅ | \cong | 65 | ⪈ | \ngeqslant |
18 | ≇ | \ncong | 66 | ⪖ | \eqslantgtr |
19 | ≈ | \approx | 67 | ≲ | \lesssim |
20 | ≈ | \thickapprox | 68 | ⋦ | \lnsim |
21 | ≊ | \approxeq | 69 | ⪅ | \lessapprox |
22 | ≍ | \asymp | 70 | ⪉ | \lnapprox |
23 | ∝ | \propto | 71 | ≳ | \gtrsim |
24 | ∝ | \varpropto | 72 | ⋧ | \gnsim |
25 | < | < | 73 | ⪆ | \gtrapprox |
26 | ≮ | \nless | 74 | ⪊ | \gnapprox |
27 | ≪ | \ll | 75 | ≺ | \prec |
28 | ≪̸ | \not\ll | 76 | ⊀ | \nprec |
29 | ⋘ | \lll | 77 | ⪯ | \preceq |
30 | ⋘̸ | \not\lll | 78 | ⋠ | \npreceq |
31 | ⋖ | \lessdot | 79 | ⪵ | \precneqq |
32 | > | > | 80 | ≻ | \succ |
33 | ≯ | \ngtr | 81 | ⊁ | \nsucc |
34 | ≫ | \gg | 82 | ⪰ | \succeq |
35 | ≫̸ | \not\gg | 83 | ⋡ | \nsucceq |
36 | ⋙ | \ggg | 84 | ⪶ | \succneqq |
37 | ⋙̸ | \not\ggg | 85 | ≼ | \preccurlyeq |
38 | ⋗ | \gtrdot | 86 | ⋞ | \curlyeqprec |
39 | ≤ | \le | 87 | ≽ | \succcurlyeq |
40 | ≤ | \leq | 88 | ⋟ | \curlyeqsucc |
41 | ⪇ | \lneq | 89 | ≾ | \precsim |
42 | ≦ | \leqq | 90 | ⋨ | \precnsim |
43 | ≰ | \nleq | 91 | ⪷ | \precapprox |
44 | ≰ | \nleqq | 92 | ⪹ | \precnapprox |
45 | ≨ | \lneqq | 93 | ≿ | \succsim |
46 | ≨ | \lvertneqq | 94 | ⋩ | \succnsim |
47 | ≥ | \ge | 95 | ⪸ | \succapprox |
48 | ≥ | \geq | 96 | ⪺ | \succnapprox |
几何符号
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | ∥ | \parallel | 14 | ◊ | \lozenge |
2 | ∦ | \nparallel | 15 | ⧫ | \blacklozenge |
3 | ∥ | \shortparallel | 16 | ★ | \bigstar |
4 | ∦ | \nshortparallel | 17 | ◯ | \bigcirc |
5 | ⊥ | \perp | 18 | △ | \triangle |
6 | ∠ | \angle | 19 | △ | \bigtriangleup |
7 | ∢ | \sphericalangle | 20 | ▽ | \bigtriangledown |
8 | ∡ | \measuredangle | 21 | △ | \vartriangle |
9 | 45∘ | 45^\circ | 22 | ▽ | \triangledown |
10 | ◻ | \Box | 23 | ▴ | \blacktriangle |
11 | ◼ | \blacksquare | 24 | ▾ | \blacktriangledown |
12 | ⋄ | \diamond | 25 | ◂ | \blacktriangleleft |
13 | ◊◊ | \Diamond \lozenge | 26 | ▸ | \blacktriangleright |
逻辑符号
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | ∀ | \forall | 20 | ¬ | \neg |
2 | ∃ | \exists | 21 | ⧸R | \not\operatorname{R} |
3 | ∄ | \nexists | 22 | ⊥ | \bot |
4 | ∴ | \therefore | 23 | ⊤ | \top |
5 | ∵ | \because | 24 | ⊢ | \vdash |
6 | & | \And | 25 | ⊣ | \dashv |
7 | ∨ | \lor | 26 | ⊨ | \vDash |
8 | ∨ | \vee | 27 | ⊩ | \Vdash |
9 | ⋎ | \curlyvee | 28 | ⊨ | \models |
10 | ⋁ | \bigvee | 29 | ⊪ | \Vvdash |
11 | ∧ | \land | 30 | ⊬ | \nvdash |
12 | ∧ | \wedge | 31 | ⊮ | \nVdash |
13 | ⋏ | \curlywedge | 32 | ⊭ | \nvDash |
14 | ⋀ | \bigwedge | 33 | ⊯ | \nVDash |
15 | q¯ | \bar{q} | 34 | ⌜ | \ulcorner |
16 | abc¯ | \bar{abc} | 35 | ⌝ | \urcorner |
17 | q― | \overline{q} | 36 | ⌞ | \llcorner |
18 | abc― | \overline{abc} | 37 | ⌟ | \lrcorner |
19 | ¬ | \lnot | | | |
集合符号
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | {} | \{ \} | 23 | ⊏ | \sqsubset |
2 | ∅ | \emptyset | 24 | ⊃ | \supset |
3 | ∅ | \varnothing | 25 | ⋑ | \Supset |
4 | ∈ | \in | 26 | ⊐ | \sqsupset |
5 | ∉ | \notin | 27 | ⊆ | \subseteq |
6 | ∋ | \ni | 28 | ⊈ | \nsubseteq |
7 | ∩ | \cap | 29 | ⊊ | \subsetneq |
8 | ⋒ | \Cap | 30 | ⊊ | \varsubsetneq |
9 | ⊓ | \sqcap | 31 | ⊑ | \sqsubseteq |
10 | ⋂ | \bigcap | 32 | ⊇ | \supseteq |
11 | ∪ | \cup | 33 | ⊉ | \nsupseteq |
12 | ⋓ | \Cup | 34 | ⊋ | \supsetneq |
13 | ⊔ | \sqcup | 35 | ⊋ | \varsupsetneq |
14 | ⋃ | \bigcup | 36 | ⊒ | \sqsupseteq |
15 | ⨆ | \bigsqcup | 37 | ⫅ | \subseteqq |
16 | ⊎ | \uplus | 38 | ⊈ | \nsubseteqq |
17 | ⨄ | \biguplus | 39 | ⫋ | \subsetneqq |
18 | ∖ | \setminus | 40 | ⫋ | \varsubsetneqq |
19 | ∖ | \smallsetminus | 41 | ⫆ | \supseteqq |
20 | × | \times | 42 | ⊉ | \nsupseteqq |
21 | ⊂ | \subset | 43 | ⫌ | \supsetneqq |
22 | ⋐ | \Subset | 44 | ⫌ | \varsupsetneqq |
箭头符号
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | ⇛ | \Rrightarrow | 36 | ⟼ | \longmapsto |
2 | ⇚ | \Lleftarrow | 37 | ⇀ | \rightharpoonup |
3 | ⇒ | \Rightarrow | 38 | ⇁ | \rightharpoondown |
4 | ⇏ | \nRightarrow | 39 | ↼ | \leftharpoonup |
5 | ⟹ | \Longrightarrow | 40 | ↽ | \leftharpoondown |
6 | ⟹ | \implies | 41 | ↿ | \upharpoonleft |
7 | ⇐ | \Leftarrow | 42 | ↾ | \upharpoonright |
8 | ⇍ | \nLeftarrow | 43 | ⇃ | \downharpoonleft |
9 | ⟸ | \Longleftarrow | 44 | ⇂ | \downharpoonright |
10 | ⇔ | \Leftrightarrow | 45 | ⇌ | \rightleftharpoons |
11 | ⇎ | \nLeftrightarrow | 46 | ⇋ | \leftrightharpoons |
12 | ⟺ | \Longleftrightarrow | 47 | ↶ | \curvearrowleft |
13 | ⟺ | \iff | 48 | ↺ | \circlearrowleft |
14 | ⇑ | \Uparrow | 49 | ↰ | \Lsh |
15 | ⇓ | \Downarrow | 50 | ⇈ | \upuparrows |
16 | ⇕ | \Updownarrow | 51 | ⇉ | \rightrightarrows |
17 | → | \rightarrow | 52 | ⇄ | \rightleftarrows |
18 | → | \to | 53 | ↣ | \rightarrowtail |
19 | ↛ | \nrightarrow | 54 | ↬ | \looparrowright |
20 | ⟶ | \longrightarrow | 55 | ↷ | \curvearrowright |
21 | ← | \leftarrow | 56 | ↻ | \circlearrowright |
22 | ← | \gets | 57 | ↱ | \Rsh |
23 | ↚ | \nleftarrow | 58 | ⇊ | \downdownarrows |
24 | ⟵ | \longleftarrow | 59 | ⇇ | \leftleftarrows |
25 | ↔ | \leftrightarrow | 60 | ⇆ | \leftrightarrows |
26 | ↮ | \nleftrightarrow | 61 | ↢ | \leftarrowtail |
27 | ⟷ | \longleftrightarrow | 62 | ↫ | \looparrowleft |
28 | ↑ | \uparrow | 63 | ↪ | \hookrightarrow |
29 | ↓ | \downarrow | 64 | ↩ | \hookleftarrow |
30 | ↕ | \updownarrow | 65 | ⊸ | \multimap |
31 | ↗ | \nearrow | 66 | ↭ | \leftrightsquigarrow |
32 | ↙ | \swarrow | 67 | ⇝ | \rightsquigarrow |
33 | ↖ | \nwarrow | 68 | ↠ | \twoheadrightarrow |
34 | ↘ | \searrow | 69 | ↞ | \twoheadleftarrow |
35 | ↦ | \mapsto | | | |
特殊符号
序号 | 符号 | LaTeX | 序号 | 符号 | LaTeX |
---|
1 | ∞ | \infty | 33 | ♭ | \flat |
2 | ℵ | \aleph | 34 | ♮ | \natural |
3 | ∁ | \complement | 35 | ♯ | \sharp |
4 | ∍ | \backepsilon | 36 | ╱ | \diagup |
5 | ð | \eth | 37 | ╲ | \diagdown |
6 | Ⅎ | \Finv | 38 | ⋅ | \centerdot |
7 | ℏ | \hbar | 39 | ⋉ | \ltimes |
8 | ℑ | \Im | 40 | ⋊ | \rtimes |
9 | ı | \imath | 41 | ⋋ | \leftthreetimes |
10 | ȷ | \jmath | 42 | ⋌ | \rightthreetimes |
11 | 𝕜k | \Bbbk | 43 | ≖ | \eqcirc |
12 | ℓ | \ell | 44 | ≗ | \circeq |
13 | ℧ | \mho | 45 | ≜ | \triangleq |
14 | ℘ | \wp | 46 | ≏ | \bumpeq |
15 | ℜ | \Re | 47 | ≎ | \Bumpeq |
16 | Ⓢ | \circledS | 48 | ≑ | \doteqdot |
17 | ⨿ | \amalg | 49 | ≓ | \risingdotseq |
18 | % | \% | 50 | ≒ | \fallingdotseq |
19 | † | \dagger | 51 | ⊺ | \intercal |
20 | ‡ | \ddagger | 52 | ⊼ | \barwedge |
21 | … | \ldots | 53 | ⊻ | \veebar |
22 | ⋯ | \cdots | 54 | ⩞ | \doublebarwedge |
23 | ⌣ | \smile | 55 | ≬ | \between |
24 | ⌢ | \frown | 56 | ⋔ | \pitchfork |
25 | ≀ | \wr | 57 | ⊲ | \vartriangleleft |
26 | ◃ | \triangleleft | 58 | ⋪ | \ntriangleleft |
27 | ▹ | \triangleright | 59 | ⊳ | \vartriangleright |
28 | ♢ | \diamondsuit | 60 | ⋫ | \ntriangleright |
29 | ♡ | \heartsuit | 61 | ⊴ | \trianglelefteq |
30 | ♣ | \clubsuit | 62 | ⋬ | \ntrianglelefteq |
31 | ♠ | \spadesuit | 63 | ⊵ | \trianglerighteq |
32 | ⅁ | \Game | 64 | ⋭ | \ntrianglerighteq |
分数
类型 | 符号 | LaTeX |
---|
分数 | 24x=0.5xor24x=0.5x | \frac{2}{4}x=0.5x or {2 \over 4}x=0.5x |
小型分数 | 24x=0.5x | \tfrac{2}{4}x = 0.5x |
大型分数 (不嵌套) | 24=0.52c+2d+24=a | \dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a |
大型分数 (嵌套) | 2c+2d+24=a | \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a |
数值函数
符号 | LaTeX |
---|
expab=ab,expb=eb,10m | \exp_a b = a^b, \exp b = e^b, 10^m |
lnc,lgd=loge,log10f | \ln c, \lg d = \log e, \log_{10} f |
sina,cosb,tanc,cotd,sece,cscf | \sin a, \cos b, \tan c, \cot d, \sec e, \csc f |
arcsina,arccosb,arctanc | \arcsin a, \arccos b, \arctan c |
arccotd,arcsece,arccscf | \operatorname{arccot} d, \operatorname{arcsec} e, \operatorname{arccsc} f |
sinha,coshb,tanhc,cothd | \sinh a, \cosh b, \tanh c, \coth d |
shk,chl,thm,cothn | \operatorname{sh}k, \operatorname{ch}l, \operatorname{th}m, \operatorname{coth}n |
argsho,argchp,argthq | \operatorname{argsh}o, \operatorname{argch}p, \operatorname{argth}q |
sgnr,|s| | \operatorname{sgn}r, \left\vert s \right\vert |
min(x,y),max(x,y) | \min(x,y), \max(x,y) |
如果需要使用特殊的函数符号,那么可以采用 \operatorname{}
命令进行自定义:
符号 | LaTeX |
---|
mydefinex | \operatorname{mydefine}x |
根式
符号 | LaTeX | 符号 | LaTeX |
---|
√ | \surd | πn | \sqrt[n]{\pi} |
π | \sqrt{\pi} | x3+y323 | \sqrt[3]{\frac{x^3+y^3}{2}}* _ |
微分与导数
符号 | LaTeX |
---|
dt,dt,∂t,∇ψ | dt, \mathrm{d}t, \partial t, \nabla\psi |
dy/dx,dy/dx,dydx,dydx,∂2∂x1∂x2y | 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 |
′,‵,f′,f′,f″,f(3),y˙,y¨ | \prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y |
模运算
符号 | LaTeX |
---|
sk≡0(modm) | s_k \equiv 0 \pmod{m} |
amodb | a \bmod b |
gcd(m,n),lcm(m,n) | \gcd(m, n), \operatorname{lcm}(m, n) |
∣,∤,∣,∤ | \mid, \nmid, \shortmid, \nshortmid |
极限
符号 | LaTeX |
---|
limn→∞xn | \lim_{n \to \infty}x_n |
limn→∞xn | \textstyle \lim_{n \to \infty}x_n |
范围与预测
符号 | LaTeX |
---|
minx,maxy,infs,supt | \min x, \max y, \inf s, \sup t |
limu,lim infv,lim supw | \lim u, \liminf v, \limsup w |
dimp,degq,detm,kerϕ | \dim p, \deg q, \det m, \ker\phi |
Prj,homl,‖z‖,argz | \Pr j, \hom l, \lVert z \rVert, \arg z |
积分
符号 | LaTeX |
---|
∫13e3/xx2dx | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
∫13e3/xx2dx | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
∫−NNexdx | \textstyle \int\limits_{-N}^{N} e^x dx |
∫−NNexdx | \textstyle \int_{-N}^{N} e^x dx |
∬Ddxdy | \iint\limits_D dx\,dy |
∭Edxdydz | \iiint\limits_E dx\,dy\,dz |
⨌Fdxdydzdt | \iiiint\limits_F dx\,dy\,dz\,dt |
∫(x,y)∈Cx3dx+4y2dy | \int_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
∮(x,y)∈Cx3dx+4y2dy | \oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
注意:积分符号采用 \int\_{}^{}
命令调用,双重积分符号采用 \iint\_{}^{}
,以此类推,最高可以支持四重积分。
曲线积分可以使用 \oint
命令调用,但是 MathJax 并不支持该语法,因此在开启了 Unicode 扩展的前提下,可以改为采用 \unicode{}
命令调用:
符号 | LaTeX | 描述 |
---|
∯∯∯∯C | \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 ; |
∰∰∰∰C | \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 ; |
∱∱∲∲∳∳∱∱c∲∲c∳∳c | \unicode{8753} \unicode{x2231}_c \unicode{8754} \unicode{x2232}_c \unicode{8755} \unicode{x2233}_c | 其它积分符号; |
大型运算符
分类 | 符号 | LaTeX | 符号 | LaTeX |
---|
求和 | ∑ab | \sum_{a}^{b} | ∑ab | \textstyle \sum_{a}^{b} |
连乘积 | ∏ab | \prod_{a}^{b} | ∏ab | \textstyle \prod_{a}^{b} |
余积 | ∐ab | \coprod_{a}^{b} | ∐ab | \textstyle \coprod_{a}^{b} |
并集 | ⋃ab | \bigcup_{a}^{b} | ⋃ab | \textstyle \bigcup_{a}^{b} |
交集 | ⋂ab | \bigcap_{a}^{b} | ⋂ab | \textstyle \bigcap_{a}^{b} |
析取 | ⋁ab | \bigvee_{a}^{b} | ⋁ab | \textstyle \bigvee_{a}^{b} |
合取 | ⋀ab | \bigwedge_{a}^{b} | ⋀ab | \textstyle \bigwedge_{a}^{b} |
上下标
类型 | 符号 | 代码 |
---|
上标 | a2 ax+3 | a^2 a^{x+3} |
下标 | a2 | a_2 |
组合 | 1030a2+2 ai,jbf′ | 10^{30} a^{2+2} a{i,j} b{f'} |
上下标混合 | x23 x23 | x_2^3 {x_2}^3 |
上标的上标 | 10108 | 10^{10^{8}} |
混合标识 | X12X34ab 12!Ω34 | \sideset{1^2}{3^4}X_a^b {}_1^2!\Omega_3^4 |
顶标底标 | ωα ωα ωγα ωα | \overset{\alpha}{\omega} \underset{\alpha}{\omega} \overset{\alpha}{\underset{\gamma}{\omega}} \stackrel{\alpha}{\omega} |
导数 | x′,y″,f′,f″ x′,y′′ | x', y'', f', f'' x^\prime, y^{\prime\prime} |
导数点 | x˙,x¨ | \dot{x}, \ddot{x} |
上下划线与向量 | a^ b¯ c→ ab→ cd← def^ ghi― jkl― | \hat a \ \bar b \ \vec c \overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} \overline{g h i} \ \underline{j k l} |
弧度 | AB⌢ | \overset{\frown} {AB} |
箭头 | A←n+μ−1B→Tn±i−1C | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
大括号 | 1+2+⋯+100⏞5050 | \overbrace{ 1+2+\cdots+100 }^{5050} |
底部大括号 | a+b+⋯+z⏟26 | \underbrace{ a+b+\cdots+z }_{26} |
求和运算 | ∑k=1Nk2 | \sum_{k=1}^N k^2 |
文本模式下的求和运算 | ∑k=1Nk2 | \textstyle \sum_{k=1}^N k^2 |
分式中的求和运算 | ∑k=1Nk2a | \frac{\sum_{k=1}^N k^2}{a} |
分式中的求和运算 | ∑k=1Nk2a | \frac{\displaystyle \sum_{k=1}^N k^2}{a} |
分式中的求和运算 | ∑k=1Nk2a | \frac{\sum\limits^{^N}_{k=1} k^2}{a} |
乘积运算 | ∏i=1Nxi | \prod_{i=1}^N x_i |
乘积运算 | ∏i=1Nxi | \textstyle \prod_{i=1}^N x_i |
副乘运算 | ∐i=1Nxi | \coprod_{i=1}^N x_i |
副乘运算 | ∐i=1Nxi | \textstyle \coprod_{i=1}^N x_i |
极限 | limn→∞xn | \lim_{n \to \infty}x_n |
极限 | limn→∞xn | \textstyle \lim_{n \to \infty}x_n |
积分 | ∫13e3/xx2dx | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
积分 | ∫13e3/xx2dx | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
积分 | ∫−NNexdx | \textstyle \int\limits_{-N}^{N} e^x dx |
积分 | ∫−NNexdx | \textstyle \int_{-N}^{N} e^x dx |
双重积分 | ∬Ddxdy | \iint\limits_D dx\,dy |
三重积分 | ∭Edxdydz | \iiint\limits_E dx\,dy\,dz |
四重积分 | ⨌Fdxdydzdt | \iiiint\limits_F dx\,dy\,dz\,dt |
路径积分 | ∫(x,y)∈Cx3dx+4y2dy | \int_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
环路积分 | ∮(x,y)∈Cx3dx+4y2dy | \oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy |
交集 | ⋂i=1nEi | \bigcap_{i=1}^n E_i |
并集 | ⋃i=1nEi | \bigcup_{i=1}^n E_i |
二项式系数
类型 | 符号 | LaTeX |
---|
二项式系数 | (nk) | \binom{n}{k} |
小型二项式系数 | (nk) | \tbinom{n}{k} |
大型二项式系数 | (nk) | \dbinom{n}{k} |
矩阵
$$ \begin{matrix} x & y \ z & v \end{matrix} $$
\begin{matrix}
x & y \\
z & v
\end{matrix}
$$ \begin{vmatrix} x & y \ z & v \end{vmatrix}
$$
\begin{vmatrix}
x & y \\
z & v
\end{vmatrix}