LaTex數學符号公式

1. 希臘字母

序号	符号	代碼
1	α \alpha α	\alpha
2	β \beta β	\beta
3	γ \gamma γ	\gamma
4	ρ \rho ρ	\rho
5	σ \sigma σ	\sigma
6	δ \delta δ	\delta
7	ϵ \epsilon ϵ	\epsilon
8	ζ \zeta ζ	\zeta
9	η \eta η	\eta
10	θ \theta θ	\theta
11	λ \lambda λ	\lambda
12	μ \mu μ	\mu
13	ξ \xi ξ	\xi
14	π \pi π	\pi
15	υ \upsilon υ	\upsilon
16	ϕ \phi ϕ	\phi
17	φ \varphi φ	\varphi
18	ω \omega ω	\omega
19	ξ \xi ξ	\xi
20	ψ \psi ψ	\psi
21	Φ \Phi Φ	\Phi
22	Γ \Gamma Γ	\Gamma
23	Λ \Lambda Λ	\Lambda
24	Π \Pi Π	\Pi
25	Ω \Omega Ω	\Omega
26	Ψ \Psi Ψ	\Psi

2. 上标和下标

序号	符号	代碼
1	a n i a_{n_i} ani​​	a_{n_i}
2	∫ i = 1 n \int_{i=1}^n ∫i=1n​	\int_{i=1}^n
3	∑ i = 1 ∞ \sum_{i=1}^{\infty} ∑i=1∞​	\sum_{i=1}^{\infty}
4	∏ i = 1 n \prod_{i=1}^n ∏i=1n​	\prod_{i=1}^n
5	∪ i = 1 n \cup_{i=1}^n ∪i=1n​	\cup_{i=1}^n
6	∩ i = 1 n \cap_{i=1}^n ∩i=1n​	\cap_{i=1}^n
7	∮ i = 1 n \oint_{i=1}^n ∮i=1n​	\oint_{i=1}^n
8	∐ i = 1 n \coprod_{i=1}^n ∐i=1n​	\coprod_{i=1}^n
9	a 2 a^2 a2	a^2
10	a ′ a^\prime a′	a^\prime
11	a ˙ \dot{a} a˙	\dot{a}
12	a ¨ \ddot{a} a¨	\ddot{a}
13	a ⃗ \vec{a} a	\vec{a}
14	a b → \overrightarrow{ab} ab	\overrightarrow{ab}
15	a b ← \overleftarrow{ab} ab	\overleftarrow{ab}
16	a b c ^ \widehat{abc} abc	\widehat{abc}
17	a b ⌢ \overset{\frown} {ab} ab⌢	\overset{\frown}{ab}
18	a b c ‾ \overline{abc} abc	\overline{abc}
19	a b c ~ \widetilde{abc} abc	\widetilde{abc}
20	a b c ‾ \underline{abc} abc​	\underline{abc}
21	1 + 2 + ⋯ + 100 ⏞ \overbrace{1+2+\cdots+100} 1+2+⋯+100 ​	\overbrace{1+2+\cdots+100}
22	1 + 2 + ⋯ + 100 ⏟ \underbrace{1+2+\cdots + 100} 1+2+⋯+100​	\underbrace{1+2+\cdots + 100}
23	1 + 2 + ⋯ ⏞ = ? + 100 ⏟ 5050 \underbrace{1 + \overbrace{2+\cdots}^{{}=?}+100}_{\text{5050}} 5050 1+2+⋯ ​=?​+100​​	\underbrace{1 + \overbrace{2+\cdots}^{{}=?}+100}_{\text{5050}}
24	f ′ ( x ) f'(x) f′(x)	f'(x)

3. 函數

序号	符号	代碼
1	sin ⁡ \sin sin	\sin
2	cos ⁡ \cos cos	\cos
3	tan ⁡ \tan tan	\tan
4	csc ⁡ \csc csc	\csc
5	cosh ⁡ \cosh cosh	\cosh
6	arcsin ⁡ \arcsin arcsin	\arcsin
7	arctan ⁡ \arctan arctan	\arctann

4. 分數、求和求積、極限積分二項式

序号	符号	代碼
1	f ( x + h ) − f ( x ) h \frac{f(x+h)-f(x)}{h} hf(x+h)−f(x)​	\frac{f(x+h)-f(x)}{h}
2	a 0 + 1 a 1 + 1 a 2 + 1 a 3 + ⋯ a_0+\cfrac{1}{a_1+\cfrac{1}{a_2+\cfrac{1}{a_3+\cdots}}} a0​+a1​+a2​+a3​+⋯1​1​1​	a_0+\cfrac{1}{a_1+\cfrac{1}{a_2+\cfrac{1}{a_3+\cdots}}}
3	∑ i = 1 N i 2 \sum_{i=1}^N i^2 ∑i=1N​i2	\sum_{i=1}^N i^2
4	∑ i = 1 N i 2 \sum\limits_{i=1}^N i^2 i=1∑N​i2	\sum\limits_{i=1}^N i^2
5	∏ k = 1 N k 2 \prod_{k=1}^N k^2 ∏k=1N​k2	\prod_{k=1}^N k^2
6	lim ⁡ n → + ∞ 1 n \lim_{n \to +\infty}\frac{1}{n} limn→+∞​n1​	\lim_{n \to +\infty}\frac{1}{n}
7	lim ⁡ n → + ∞ 1 n \lim\limits_{n \to +\infty}\frac{1}{n} n→+∞lim​n1​	\lim\limits_{n \to +\infty}\frac{1}{n}
8	∫ 0 1 x d x \int_{0}^{1} x\mathrm{d}x ∫01​xdx	\int_{0}^{1} x\mathrm{d}x
9	∬ 0 n x y d x d y \iint_{0}^{n} xy \mathrm{d}x\mathrm{d}y ∬0n​xydxdy	\iint_{0}^{n} xy \mathrm{d}x\mathrm{d}y
10	∮ C x 2 d x + y 2 d y \oint_{C} x^2\mathrm{d}x + y^2\mathrm{d}y ∮C​x2dx+y2dy	\oint_{C} x^2\mathrm{d}x + y^2\mathrm{d}y
11	( n k ) \binom{n}{k} (kn​)	\binom{n}{k}

5. 括号

序号	符号	代碼
1	( x + y ) (x+y) (x+y)	(x+y)
2	[ x + y ] [x+y] [x+y]	[x+y]
3	{ x + y } \{ x+y \} {x+y}	\{ x+y \}
4	⟨ x + y ⟩ \langle x+y \rangle ⟨x+y⟩	\langle x+y \rangle
5	{ x + y } \{ x+y \} {x+y}	\{ x+y \}
6	∣ x + y ∣ \vert x+y\vert ∣x+y∣	\vert x+y\vert
7	∥ x + y ∥ \|x+y\| ∥x+y∥	\|x+y\|
8	⌈ \big \lceil ⌈	\big \lceil
9	⌉ \big \rceil ⌉	\big \rceil
10	⌊ \big \lfloor ⌊	\big \lfloor
11	⌋ \big \rfloor ⌋	\big \rfloor

6. 集合符号

序号	符号	代碼
1	∀ \forall ∀	\forall
2	∃ \exists ∃	\exists
3	∅ \emptyset ∅	\emptyset
4	∈ \in ∈	\in
5	∋ \ni ∋	\ni
6	̸ \not ​	\not
7	∉ \notin ∈/​	\notin
8	⊂ \subset ⊂	\subset
9	⊆ \subseteq ⊆	\subseteq
10	⊃ \supset ⊃	\supset
11	⊇ \supseteq ⊇	\supseteq

7. 運算符

序号	符号	代碼
1	+ + +	+
2	− - −	-
3	× \times ×	\times
4	÷ \div ÷	\div
5	⊕ \oplus ⊕	\oplus
6	∧ \land ∧	\land
7	∨ \lor ∨	\lor
8	¬ \lnot ¬	\lnot
9	& \And &	\And
10	x \sqrt{x} x ​	\sqrt{x}
11	x n \sqrt[n]{x} nx ​	\sqrt[n]{x}
12	= = =	=
13	≐ \doteq ≐	\doteq
14	≠ \ne ​=	\ne
15	≠ \neq ​=	\neq
16	≡ \equiv ≡	\equiv
17	≢ \not \equiv ​≡	\not \equiv
18	≤ \leq ≤	\leq
19	≥ \geq ≥	\geq
20	∼ \sim ∼	\sim
21	≃ \simeq ≃	\simeq
22	≅ \cong ≅	\cong
23	≈ \approx ≈	\approx
24	≍ \asymp ≍	\asymp
25	∝ \propto ∝	\propto

8. 箭頭

序号	符号	代碼
1	← \leftarrow ←	\leftarrow
2	→ \rightarrow →	\rightarrow
3	⇐ \Leftarrow ⇐	\Leftarrow
4	⇒ \Rightarrow ⇒	\Rightarrow
5	↔ \leftrightarrow ↔	\leftrightarrow
6	↼ \leftharpoonup ↼	\leftharpoonup
7	↽ \leftharpoondown ↽	\leftharpoondown
8	⇌ \rightleftharpoons ⇌	\rightleftharpoons
9	↑ \uparrow ↑	\uparrow
10	⇑ \Uparrow ⇑	\Uparrow
11	↓ \downarrow ↓	\downarrow
12	⇓ \Downarrow ⇓	\Downarrow
13	↕ \updownarrow ↕	\updownarrow
14	⇕ \Updownarrow ⇕	\Updownarrow
15	↗ \nearrow ↗	\nearrow
16	↘ \searrow ↘	\searrow
17	↙ \swarrow ↙	\swarrow
18	↖ \nwarrow ↖	\nwarrow

9. 更多

LaTex符号官方文檔: https://www.rpi.edu/dept/arc/training/latex/LaTeX_symbols.pdf