LaTeX数学符号汇总

LaTeX数学符号

显示

• 行内显示 $…$.
  独行显示 $$…$$.

• 空格
  a b => $a b$
  a\ b => $a\ b$
  a \quad b => $a \quad b$
  a \qquad b => $a \qquad b$

括号

• [] => $[]$
  () => $()$
  {} => $\{\}$

• 自适应大小括号 \left( 与\right) :
  (\frac{\sqrt x}{y^3}) => $(\frac{\sqrt x}{y^3})$
  \left(\frac{\sqrt x}{y^3}\right) => $\left(\frac{\sqrt x}{y^3}\right)$

上标^ 与 下标_

• \bar a=> $\bar a$
  \overline {ab}=> $\overline {ab}$

• \hat a => $\hat a$
  \widehat {abc} => $\widehat {abc}$

• "x_i^2 => $x_i^2$
  log_2 A => $log_2 A$

• 必要时分组{}
  10^{12} => $10^{12}$
  10^12 => $10^12$
  10_12 => $10_12$
  10_{12} => $10_{12}$
  A_b^c => $A_b^c$
  A_{b^c} => $A_{b^c}$

基本运算符

• A\times B => $A\times B$
  A\div B => $A\div B$
  A\cdot B => $A\cdot B$
  \Rightarrow => $\Rightarrow$

比较运算符

• \forall => $\forall$
  \exists => $\exists$
  \exists
• \lt — $\lt$
  \gt — $\gt$
  \le — $\le$
  \leq — $\leq$
  \leqq — $\leqq$
  \leqslant — $\leqslant$
  \ge — $\ge$
  \geq — $\geq$
  \geqq — $\geqq$
  \geqslant — $\geqslant$
  \neq — $\neq$ 不等号
• \approx — $\approx$
  \sim — $\sim$
  \simeq— $\simeq$
  \cong — $\cong$
  \equiv— $\equiv$
  \prec— $\prec$

常用运算符

• \frac{a}{b} => $\frac{a}{b}$ 复杂分数适用
  \frac ab => $\frac ab$ 简单分数适用
  \cfrac{a}{b} => $\cfrac{a}{b}$ 连续分数适用
• \sqrt{x^3} => $\sqrt{x^3}$
  \sqrt[3]{\frac xy} => $\sqrt[3]{\frac xy}$
• \sin x => $\sin x$
• \vert a\vert => $\vert a\vert$
  \Vert a\Vert => $\Vert a\Vert$
  \langle A \rangle = > $\langle A \rangle$
  \lceilA\rceil => $\lceil A\rceil$
  \lfloor A\rfloor => $\lfloor A\rfloor$
  \Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) => $\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)$

集合运算符

• \cup => $\cup$
  \cap => $\cap$
  \setminus => $\setminus$
  \subset => $\subset$
  \subseteq => $\subseteq$
  \subsetneq => $\subsetneq$
  \supset => $\supset$
  \in => $\in$
  \notin => $\notin$
  \emptyset => $\emptyset$
  \varnothing => $\varnothing$

常用高级运算符

• \nabla => $\nabla$
  \partial => $\partial$
  \sum => $\sum$
  \sum_{i=0}^m i^2 => $\sum_{i=0}^m i^2$
  \int A => $\int A$
  \iint ∬ => $\iint$
  \iiint ∬ => $\iiint$
  \int_a^b => $\int_a^b$
  \prod_{n=1}^{123} => $\prod_{n=1}^{123}$
  \bigcup => $\bigcup$
  \bigcap => $\bigcap_{n=1}^{123}$
  \lim_{x\to 0} => $\lim_{x\to 0}$
  {n+1 \choose 2k} ⇒ ${n+1 \choose 2k}$
  \ldots => $a_1,a_2\ldots a_n$
  \cdots => $a_1,a_2\cdots a_n$

• 大括号

\left\{ 
\begin\{array\}{c}
a_1x+b_1y+c_1z=d_1 \\ 
a_2x+b_2y+c_2z=d_2 \\ 
a_3x+b_3y+c_3z=d_3
\end{array}
\right.

$\left\{ \begin{array}{c} a_1x+b_1y+c_1z=d_1 \\ a_2x+b_2y+c_2z=d_2 \\ a_3x+b_3y+c_3z=d_3 \end{array} \right.$

f(n) =
\begin{cases}
n/2,  & \text{if $n$ is even} \\
3n+1, & \text{if $n$ is odd}
\end{cases}

$f(n) = \begin{cases} n/2, & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \end{cases}$

常用希腊字符

• \alpha => $\alpha$
  \beta => $\beta$
  \gamma => $\gamma$
  \Gamma => $\Gamma$
  \omega => $\omega$
  Omega => $\Omega$
  \Delta => $\Delta$
  \theta => $\theta$
  \epsilon => $\epsilon$
  \varepsilon => $\varepsilon$
  \phi => $\phi$
  \varphi => $\varphi$
  \ell => $\ell$

专用字符

-常规abcABC123
\mathbb {abcABC123} => $\mathbb {abcABC123}$
\mathit {abcABC123} => $\mathit {abcABC123}$
\pmb {abcABC123} => $\pmb {abcABC123}$
\mathtt {abcABC123} => $\mathtt {abcABC123}$
\mathrm {abcABC123} => $\mathrm {abcABC123}$
\mathsf {abcABC123} => $\mathsf {abcABC123}$
\mathcal {abcABC123} => $\mathcal {abcABC123}$
\mathscr {abcABC123} => $\mathscr {abcABC123}$
\mathfrak {abcABC123} => $\mathfrak {abcABC123}$

矩阵

   \begin{matrix}
    1 & x & x^2 \\
    1 & y & y^2 \\
    1 & z & z^2 \\
    \end{matrix}

$\begin{matrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{matrix}$

 \begin{pmatrix}
  1 & x & x^2 \\
  1 & y & y^2 \\
  1 & z & z^2 \\
  \end{pmatrix}

$\begin{pmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{pmatrix}$

    \begin{bmatrix}
    1 & x & x^2 \\
    1 & y & y^2 \\
    1 & z & z^2 \\
    \end{bmatrix}

$\begin{bmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{bmatrix}$

     \begin{Bmatrix}
    1 & x & x^2 \\
    1 & y & y^2 \\
    1 & z & z^2 \\
    \end{Bmatrix}

$\begin{Bmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{Bmatrix}$

    \begin{vmatrix}
    1 & x & x^2 \\
    1 & y & y^2 \\
    1 & z & z^2 \\
    \end{vmatrix}

$\begin{vmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{vmatrix}$

以上为常用内容提取自:

lMathJax basic tutorial and quick refer.