最近更新于 2024-05-06 07:57

希腊字母

大写	代码	小写	代码
A	A	α	\alpha
B	B	β	\beta
Γ	\Gamma	γ	\gamma
Δ	\Delta	δ	\delta
E	E	ϵ	\epsilon
Z	Z	ζ	\zeta
H	H	η	\eta
Θ	\Theta	θ	\theta
I	I	ι	\iota
K	K	κ	\kappa
Λ	\Lambda	λ	\lambda
M	M	μ	\mu
N	N	ν	\nu
Ξ	\Xi	ξ	\xi
O	O	ο	\omicron
Π	\Pi	π	\pi
P	P	ρ	\rho
Σ	\Sigma	σ	\sigma
T	T	τ	\tau
Υ	Υ	υ	\upsilon
Φ	\Phi	ϕ	\phi
X	X	χ	\chi
Ψ	\Psi	ψ	\psi
Ω	\Omega	ω	\omega

符号

乘 \times \times
除 \div \div
加减 \pm \pm
减加 \mp \mp
偏导数 \partial \partial
小于 \lt \lt
大于 \gt \gt
小于等于 \le \le
大于等于 \ge \ge
不等于 \ne \ne
加 \not 否定，如 \not \lt \not \lt
并集 \cup \cup
交集 \cap \cap
子集 subset \subset，subseteq \subsetneq
差集 \setminus \setminus
非子集 \subsetneq \subsetneq
父集 \supset \supset
属于 \in \in
不属于 \notin \notin
空集 \emptyset \emptyset
空 \varnothing \varnothing
虚数 i、j \imath \imath, \jmath \jmath
异或 \oplus \oplus
同与 \otimes \otimes
同或 \odot \odot
与 \land \land
或 \lor \lor
非 \lnot \lnot
点乘 \cdot \cdot
平均运算符 \overline{x} \overline{x}
向量（单）\vec{x} \vec{x}
向量（多）\overrightarrow{xy} \overrightarrow{xy}
梯度算子 \nabla \nabla
空格 \ ，比如 a\ b a\ b
任意 \forall \forall
存在 \exists \exists
反斜杠 \backslash \backslash

\to \to
\rightarrow \rightarrow
\leftarrow \leftarrow
\leftrightarrow \leftrightarrow
\uparrow \uparrow
\downarrow \downarrow
\updownarrow \updownarrow
\Rightarrow \Rightarrow
\Leftarrow \Leftarrow
\Leftrightarrow \Leftrightarrow
\Uparrow \Uparrow
\Downarrow \Downarrow
\Updownarrow \Updownarrow
长箭头，前面加 long 或 Long，比如 \longrightarrow \longrightarrow，\Longrightarrow \Longrightarrow

\twoheadrightarrow \twoheadrightarrow
\rightarrowtail \rightarrowtail
\looparrowright \looparrowright
\curvearrowright \curvearrowright
\circlearrowright \circlearrowright
\Rsh \Rsh
\multimap \multimap
\leftrightsquigarrow \leftrightsquigarrow
\rightsquigarrow \rightsquigarrow
\leadsto \leadsto
\nearrow \nearrow
\searrow \searrow
\swarrow \swarrow
\nwarrow \nwarrow
\nleftarrow \nleftarrow
\nrightarrow \nrightarrow
\nLeftarrow \nLeftarrow
\nRightarrow \nRightarrow
\nleftrightarrow \nleftrightarrow
\nLeftrightarrow \nLeftrightarrow
\dashrightarrow \dashrightarrow
\dashleftarrow \dashleftarrow
\leftleftarrows \leftleftarrows
\leftrightarrows \leftrightarrows
\twoheadleftarrow \twoheadleftarrow
\leftarrowtail \leftarrowtail
\looparrowleft \looparrowleft
\curvearrowleft \curvearrowleft
\circlearrowleft \circlearrowleft
\Lsh \Lsh
\mapsto \mapsto
\hookleftarrow \hookleftarrow
\hookrightarrow \hookrightarrow
\upharpoonright \upharpoonright
\upharpoonleft \upharpoonleft
\downharpoonright \downharpoonright
\downharpoonleft \downharpoonleft
\leftharpoonup \leftharpoonup
\rightharpoonup \rightharpoonup
\leftharpoondown \leftharpoondown
\rightharpoondown \rightharpoondown
\upuparrows \upuparrows
\downdownarrows \downdownarrows
\rightrightarrows \rightrightarrows
\rightleftarrows \rightleftarrows
\rightrightarrows \rightrightarrows
\rightleftarrows \rightleftarrows
\rightleftharpoons \rightleftharpoons
\leftrightharpoons \leftrightharpoons

\mapsto \mapsto
\forall \forall
\exists \exists
\top \top
\bot \bot
\vDash \vDash
\star \star
\ast \ast
\bullet \bullet
约等于 \approx \approx
波浪号 \sim \sim
\equiv \equiv
\prec \prec
无穷 \infty \infty
\aleph_o \aleph_o
\aleph_o \aleph_o
\Im \Im
\Re \Re
\ldots \ldots
\cdots \cdots
\vdots \vdots
\ddots \ddots
\hat x \hat x
\widehat {xy} \widehat {xy}
\dot x \dot x
\ddot x \ddot x
\dot {\dot x} \dot {\dot x}
\mathring{U} \mathring{U}

上下添加公式

\overset{x=9}{=}
\overset{x=9}{=}

\underset{x=\sin\theta}{=}
\underset{x=\sin\theta}{=}

\xlongequal[下方公式]{上方公式}
\xlongequal[下方公式]{上方公式}

上下大括号

\overbrace{a+b+c}^x \overbrace{a+b+c}^x

a+\underbrace{b+c}_y a+\underbrace{b+c}_y

上下标

A^m_n A_n^m
A_n^m A_n^m
x^2 x^2
a_n a_n
a_{n+1} a_{n+1}
A^{B^C} A^{B^C}
{A^B}^C {A^B}^C

根号

\sqrt{25} \sqrt{25}
\sqrt[3]{27} \sqrt[3]{27}

分式

\frac{a+b}{a-b} \frac{a+b}{a-b}
\frac{4}{5} \frac{4}{5}

括号

(), [] 直接使用，{ 和 } 有特殊含义，需要使用 \{ 和 \} 表示。

尖括号使用
\langle \langle
\rangle \rangle

求和

\sum_{i=1}^n \sum_{i=1}^n
\sum_{j=0}^k \sum_{j=0}^k

连乘

\prod_{i=0}^nx \prod_{i=0}^n

积分

\int_0^x \int_0^x
\iint_0^x \iint_0^x
\iiint_0^x \iiint_0^x

极限

\lim_{x \to \infty}(1 + \frac{1}{x})^x
\lim_{x \to \infty}(1 + \frac{1}{x})^x

换行等号对齐

\begin{aligned}
19&=10+9 \\
&=11+8 \\
&=12+7
\end{aligned}

\begin{aligned}
19&=10+9 \\
&=11+8 \\
&=12+7
\end{aligned}

分类

f(x)=
\begin{cases}
x+1, &x<0\\
0, &x=0\\
2x-1, &x>0
\end{cases}

f(x)=
\begin{cases}
x+1, &x<0\\
0, &x=0\\
2x-1, &x>0
\end{cases}

方程组

\left \{
\begin{array}{l} % l 靠左、c 居中、r 靠右
x+y+z=6 \\
2x-y+z=3 \\
x+y-z=0
\end{array}
\right.

\left \{
\begin{array}{l}
x+y+z=6 \\
2x-y+z=3 \\
x+y-z=0
\end{array}
\right.

多列对齐

\begin{array}{l l} % l 靠左、c 居中、r 靠右
x+y+z=6 & x+y+z=6\\
2x-y+z=3 & 2x-y+z=3 \\
x+y-z=0 & x+y-z=0
\end{array}

\begin{array}{l l} % l 靠左、c 居中、r 靠右
x+y+z=6 & x+y+z=6\\
2x-y+z=3 & 2x-y+z=3 \\
x+y-z=0 & x+y-z=0
\end{array}

矩阵

\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}

\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}

\left \{
\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}
\right \}

\left \{
\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}
\right \}

\left |
\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}
\right |

\left |
\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}
\right |

\left (
\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}
\right )

\left (
\begin{matrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{matrix}
\right )

上面是使用 \left 和 \right 来添加的左右括号，也可以不用这对符号，将 \begin 和 \end 后面的词分别换为 pmatrix、bmatrix、Bmatrix、vmatrix、Vmatrix，分别对应小括号、中括号、大括号、单竖线、双竖线，如：

\begin{pmatrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{pmatrix}

\begin{pmatrix}
1&2&3 \\
4&5&6 \\
7&8&9
\end{pmatrix}

\begin{array} {c c | c} % c 居中，r 右对齐，l 左对齐，竖线为插入竖线的位置
1&2&3 \\
\hline % 插入横线
4&5&6 \\
7&8&9
\end{array}

\begin{array} {c c | c}
1&2&3 \\
\hline
4&5&6 \\
7&8&9
\end{array}

表格

\begin{array}{c|lcr}
n & \text{Left} & \text{Center} & \text{Right} \\
\hline
1 & 2 & 1 & 4 \\
4 & 3 & 2 & 1 \\
1.0 & 2.0 & 3000 & 3\times10^5 \\
\end{array}

\begin{array}{c|lcr}
n & \text{Left} & \text{Center} & \text{Right} \\
\hline
1 & 2 & 1 & 4.0 \\
4 & 3 & 2 & 1 \\
1.0 & 2.0 & 3000 & 3\times10^5 \\
\end{array}

\begin{array}{|c|c|}
\hline
\text{公式1} & \text{公式2} \\
\hline
\begin{aligned}
a &= b + c \\
  &= d + e
\end{aligned}
&
\begin{aligned}
f &= g + h \\
  &= i + j
\end{aligned} \\
\hline
\end{array}

\begin{array}{|c|c|}
\hline
\text{公式1} & \text{公式2} \\
\hline
\begin{aligned}
a &= b + c \\
  &= d + e
\end{aligned}
&
\begin{aligned}
f &= g + h \\
  &= i + j
\end{aligned} \\
\hline
\end{array}

字体

黑板粗体

一般用于表示数学和物理学中的向量或集合

\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\mathbb{abcdefghijklmnopqrstuvwxyz} \mathbb{abcdefghijklmnopqrstuvwxyz}

正粗体

\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\mathbf{abcdefghijklmnopqrstuvwxyz} \mathbf{abcdefghijklmnopqrstuvwxyz}

罗马体

\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\mathrm{abcdefghijklmnopqrstuvwxyz} \mathrm{abcdefghijklmnopqrstuvwxyz}

哥特体

\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\mathfrak{abcdefghijklmnopqrstuvwxyz} \mathfrak{abcdefghijklmnopqrstuvwxyz}

打印体

\mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\mathtt{abcdefghijklmnopqrstuvwxyz} \mathtt{abcdefghijklmnopqrstuvwxyz}

手写体

\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ} \mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\mathcal{abcdefghijklmnopqrstuvwxyz} \mathcal{abcdefghijklmnopqrstuvwxyz}