1. 公式格式
(1)嵌入行内,单对 $
,如 $d = a_b^c + a_b^c$
,效果为 d = a b c + a b c d = a_b^c + a_b^c d = a b c + a b c
(2)单独成行,双对 $$
,如 $$d = a_b^c + a_b^c$$
,效果为 d = a b c + a b c d = a_b^c + a_b^c d = a b c + a b c
(3)序号:\tag
,如 $$d = a_b^c + a_b^c\tag{1.1}$$
,效果为 d = a b c + a b c (1.1) d = a_b^c + a_b^c\tag{1.1} d = a b c + a b c ( 1.1 )
格式
LaTex 符
LaTex表达示例
示例效果
转义符
~, #, $, %, &, *, {, } 等前添加 \
$\{$
{ \{ {
上标
^
$a^{c}$
a c a^{c} a c
下标
_
$a_{b}$
a b a_{b} a b
单空格
\quad
$a_b^c \quad a_b^c$
a b c a b c a_b^c \quad a_b^c a b c a b c
双空格
\qquad
$a_b^c \qquad a_b^c$
a b c a b c a_b^c \qquad a_b^c a b c a b c
加粗
\bm
$\bm{d = a_b^c + a_b^c}$
d = a b c + a b c \bm{d = a_b^c + a_b^c} d = a b c + a b c
边框
\boxed
$\boxed{d = a_b^c + a_b^c}$
d = a b c + a b c \boxed{d = a_b^c + a_b^c} d = a b c + a b c
颜色
\color{green}, \color{red} 等
$\color{green}{d = a_b^c + a_b^c}$
d = a b c + a b c \color{green}{d = a_b^c + a_b^c} d = a b c + a b c
2. 希腊字母
LaTex表达形式
对应的希腊字母
LaTex表达形式
对应的希腊字母
\alpha
α \alpha α
\Alpha
A \Alpha A
\beta
β \beta β
\Beta
B \Beta B
\gamma
γ \gamma γ
\Gamma
Γ \Gamma Γ
\delta
δ \delta δ
\Delta
Δ \Delta Δ
\epsilon
ϵ \epsilon ϵ
\Epsilon
E \Epsilon E
\zeta
ζ \zeta ζ
\Zeta
Z \Zeta Z
\eta
η \eta η
\Eta
H \Eta H
\theta
θ \theta θ
\Theta
Θ \Theta Θ
\iota
ι \iota ι
\Iota
I \Iota I
\kappa
κ \kappa κ
\Kappa
K \Kappa K
\lambda
λ \lambda λ
\Lambda
Λ \Lambda Λ
\mu
μ \mu μ
\Mu
M \Mu M
\nu
ν \nu ν
\Nu
N \Nu N
\xi
ξ \xi ξ
\Xi
Ξ \Xi Ξ
\omicron
ο \omicron ο
\Omicron
O \Omicron O
\pi
π \pi π
\Pi
Π \Pi Π
\rho
ρ \rho ρ
\Rho
P \Rho P
\sigma
σ \sigma σ
\Sigma
Σ \Sigma Σ
\tau
τ \tau τ
\Tau
T \Tau T
\upsilon
υ \upsilon υ
\Upsilon
Υ \Upsilon Υ
\phi
ϕ \phi ϕ
\Phi
Φ \Phi Φ
\varphi
φ \varphi φ
\varPhi
Φ \varPhi Φ
\chi
χ \chi χ
\Chi
X \Chi X
\psi
ψ \psi ψ
\Psi
Ψ \Psi Ψ
\omega
ω \omega ω
\Omega
Ω \Omega Ω
\ell
ℓ \ell ℓ
\varepsilon
ε \varepsilon ε
3. 特殊上标
LaTex表达示例
示例效果
LaTex表达示例
示例效果
\hat{a}
a ^ \hat{a} a ^
\acute{a}
a ˊ \acute{a} a ˊ
\grave{a}
a ˋ \grave{a} a ˋ
\breve{a}
a ˘ \breve{a} a ˘
\bar{a}
a ˉ \bar{a} a ˉ
\widetilde{a}
a ~ \widetilde{a} a
\check{a}
a ˇ \check{a} a ˇ
\tilde{a}
a ~ \tilde{a} a ~
\dot{a}
a ˙ \dot{a} a ˙
\ddot{a}
a ¨ \ddot{a} a ¨
\vec{a}
a ⃗ \vec{a} a
\widehat{a}
a ^ \widehat{a} a
\overline{a}
a ‾ \overline{a} a
\overrightarrow{a}
a → \overrightarrow{a} a
\overleftrightarrow{a}
a ↔ \overleftrightarrow{a} a
\stackrel{F.T}{\longrightarrow}
⟶ F . T \stackrel{F.T}{\longrightarrow} ⟶ F . T
4. 特殊括号
LaTex表达示例
示例效果
\left(…\right)
( … ) \left(…\right) ( … )
\vert
∣ \vert ∣
\Vert
∥ \Vert ∥
\langle
⟨ \langle ⟨
\rangle
⟩ \rangle ⟩
\lceil
⌈ \lceil ⌈
\rceil
⌉ \rceil ⌉
\lfloor
⌊ \lfloor ⌊
\Biggl[\biggl[\Bigl[\bigl[[x]\bigr]\Bigr]\biggr]\Biggr]
[ [ [ [ [ x ] ] ] ] ] \Biggl[\biggl[\Bigl[\bigl[[x]\bigr]\Bigr]\biggr]\Biggr] [ [ [ [ [ x ] ] ] ] ]
\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)
( ( ( ( ( x ) ) ) ) ) \Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) ( ( ( ( ( x ) ) ) ) )
\vert x \vert
∣ x ∣ \vert x \vert ∣ x ∣
f(x)=\begin{cases} x = \cos(t) \\y = \sin(t) \\ z = \frac xy \end{cases}
f ( x ) = { x = cos ( t ) y = sin ( t ) z = x y f(x)=\begin{cases} x = \cos(t) \\y = \sin(t) \\ z = \frac xy \end{cases} f ( x ) = ⎩
⎨
⎧ x = cos ( t ) y = sin ( t ) z = y x
f(x)=\begin{cases} 0& \text{x=0}\\1& \text{x!=0} \end{cases}
f ( x ) = { 0 x=0 1 x!=0 f(x)=\begin{cases} 0& \text{x=0}\\1& \text{x!=0} \end{cases} f ( x ) = {
0 1 x=0 x!=0
5. 矩阵形式
LaTex表达示例
示例效果
\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix}
0 1 1 0 \begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix} 0 1 1 0
\begin{vmatrix} a & b \\ c & d \end{vmatrix}
∣ a b c d ∣ \begin{vmatrix} a & b \\ c & d \end{vmatrix}
a c b d
\begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix}
( 0 − i i 0 ) \begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix} ( 0 i − i 0 )
\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}
[ 0 − 1 1 0 ] \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix} [ 0 1 − 1 0 ]
\begin{Bmatrix} 1 & 0 \\ 0 & -1 \end{Bmatrix}
{ 1 0 0 − 1 } \begin{Bmatrix} 1 & 0 \\ 0 & -1 \end{Bmatrix} {
1 0 0 − 1 }
\begin{Vmatrix} i & 0 \\ 0 & -i \end{Vmatrix}
∥ i 0 0 − i ∥ \begin{Vmatrix} i & 0 \\ 0 & -i \end{Vmatrix}
i 0 0 − i
6. 积分求和
LaTex表达示例
示例效果
\infty
∞ \infty ∞
\bigcup
⋃ \bigcup ⋃
\bigcap
⋂ \bigcap ⋂
\int
∫ \int ∫
\iint
∬ \iint ∬
\iiint
∭ \iiint ∭
\sum
∑ \sum ∑
\sum_1^n
∑ 1 n \sum_1^n ∑ 1 n
\textstyle \sum_1^n
∑ 1 n \textstyle \sum_1^n ∑ 1 n
\displaystyle \sum_1^n
∑ 1 n \displaystyle \sum_1^n 1 ∑ n
\sum_{i=0}^\infty i^2
∑ i = 0 ∞ i 2 \sum_{i=0}^\infty i^2 ∑ i = 0 ∞ i 2
\prod_{k=1}^n k = n!
∏ k = 1 n k = n ! \prod_{k=1}^n k = n! ∏ k = 1 n k = n !
7. 函数符号
LaTex表达示例
示例效果
\frac{a+1}{b+1}
a + 1 b + 1 \frac{a+1}{b+1} b + 1 a + 1
{a+1\over b+1}
a + 1 b + 1 {a+1\over b+1} b + 1 a + 1
\cfrac{a}{b}
a b \cfrac{a}{b} b a
\sqrt{x^3}
x 3 \sqrt{x^3} x 3
\sqrt[3]{\frac xy}
x y 3 \sqrt[3]{\frac xy} 3 y x
\log_{21} {xy}
log 21 x y \log_{21} {xy} log 21 x y
\sin x
sin x \sin x sin x
\cos x
cos x \cos x cos x
\lim
lim \lim lim
\textstyle \lim_{x\to 0}
lim x → 0 \textstyle \lim_{x \to 0} lim x → 0
\displaystyle \lim_{x\to 0}
lim x → 0 \displaystyle \lim_{x \to 0} x → 0 lim
8. 特殊符号
LaTex表达示例
示例效果
LaTex表达示例
示例效果
\lt
< \lt <
\gt
> \gt >
\le
≤ \le ≤
\leq
≤ \leq ≤
\leqq
≦ \leqq ≦
\leqslant
⩽ \leqslant ⩽
\ge
≥ \ge ≥
\geq
≥ \geq ≥
\geqq
≧ \geqq ≧
\geqslant
⩾ \geqslant ⩾
\neq
≠ \neq =
\not\lt
≮ \not\lt <
\not
̸ \not
在几乎所有符号
上划出斜线
\times
× \times ×
\div
÷ \div ÷
\pm
± \pm ±
\mp
∓ \mp ∓
\cdot
⋅ \cdot ⋅
\cup
∪ \cup ∪
\cap
∩ \cap ∩
\setminus
∖ \setminus ∖
\subset
⊂ \subset ⊂
\subseteq
⊆ \subseteq ⊆
\subsetneq
⊊ \subsetneq ⊊
\supset
⊃ \supset ⊃
\in
∈ \in ∈
\notin
∉ \notin ∈ /
\emptyset
∅ \emptyset ∅
\varnothing
∅ \varnothing ∅
{n+1 \choose 2k}
( n + 1 2 k ) {n+1 \choose 2k} ( 2 k n + 1 )
\binom{n+1}{2k}
( n + 1 2 k ) \binom{n+1}{2k} ( 2 k n + 1 )
\to
→ \to →
\rightarrow
→ \rightarrow →
\leftarrow
← \leftarrow ←
\Rightarrow
⇒ \Rightarrow ⇒
\Leftarrow
⇐ \Leftarrow ⇐
\mapsto
↦ \mapsto ↦
\land
∧ \land ∧
\lor
∨ \lor ∨
\lnot
¬ \lnot ¬
\forall
∀ \forall ∀
\exists
∃ \exists ∃
\top
⊤ \top ⊤
\bot
⊥ \bot ⊥
\vdash
⊢ \vdash ⊢
\vDash
⊨ \vDash ⊨
\star
⋆ \star ⋆
\ast
∗ \ast ∗
\oplus
⊕ \oplus ⊕
\circ
∘ \circ ∘
\bullet
∙ \bullet ∙
\approx
≈ \approx ≈
\sim
∼ \sim ∼
\simeq
≃ \simeq ≃
\cong
≅ \cong ≅
\equiv
≡ \equiv ≡
\prec
≺ \prec ≺
\lhd
⊲ \lhd ⊲
\therefore
∴ \therefore ∴
\infty
∞ \infty ∞
\aleph_0
ℵ 0 \aleph_0 ℵ 0
\nabla
∇ \nabla ∇
\partial
∂ \partial ∂
\Im
ℑ \Im ℑ
\Re
ℜ \Re ℜ
\a\equiv b\pmod n
a ≡ b ( m o d n ) a\equiv b\pmod n a ≡ b ( mod n )
\ldots
… \ldots …
\cdots
⋯ \cdots ⋯
9. 特殊字体
LaTex表达示例
示例效果
LaTex表达示例
示例效果
\mathbb{ABCDE}
A B C D E \mathbb{ABCDE} ABCDE
\Bbb{ABCDEF}
A B C D E F \Bbb{ABCDEF} ABCDEF
\mathbf{abcde}
a b c d e \mathbf{abcde} abcde
\mathtt{ABCDE}
A B C D E \mathtt{ABCDE} ABCDE
\mathrm{ABCDE}
A B C D E \mathrm{ABCDE} ABCDE
\mathsf{ABCDE}
A B C D E \mathsf{ABCDE} ABCDE
\mathcal{ABCDE}}
A B C D E \mathcal{ABCDE} A BC D E
\mathscr{ABCDE}
A B C D E \mathscr{ABCDE} ABCDE
\mathfrak{ABCDE}
A B C D E \mathfrak{ABCDE} ABCDE
参考资料
1、https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference 2、https://viatorsun.blog.csdn.net/article/details/82826664