LaTeX数学符号

显示

行内显示 $…$.
独行显示 $$…$$.

空格
a b => aba bab
a\ b => aba\ ba b
a \quad b => aba \quad bab
a \qquad b =>aba \qquad bab

括号

[] => [][][]
() => ()()()
{} => {}\{\}{}
自适应大小括号 \left( 与\right) :
(\frac{\sqrt x}{y^3}) => (xy3)(\frac{\sqrt x}{y^3})(y3x)
\left(\frac{\sqrt x}{y^3}\right) => (xy3)\left(\frac{\sqrt x}{y^3}\right)(y3x)

上标^ 与下标_

\bar a=> aˉ\bar aaˉ
\overline {ab}=> ab‾\overline {ab}ab
\hat a => a^\hat aa^
\widehat {abc} => abc^\widehat {abc}abc
"x_i^2 =>xi2x_i^2xi2
log_2 A => log2Alog_2 Alog2A
必要时分组{}
10^{12} => 101210^{12}1012
10^12 => 101210^121012
10_12 => 101210_121012
10_{12} => 101210_{12}1012
A_b^c => AbcA_b^cAbc
A_{b^c} => AbcA_{b^c}Abc

基本运算符

A\times B => A×BA\times BA×B
A\div B => A÷BA\div BA÷B
A\cdot B => A⋅BA\cdot BA⋅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 — ≠\neq̸= 不等号
\approx —≈\approx≈
\sim —∼\sim∼
\simeq—≃\simeq≃
\cong —≅\cong≅
\equiv—≡\equiv≡
\prec—≺\prec≺

常用运算符

\frac{a}{b} => ab\frac{a}{b}ba 复杂分数适用
\frac ab => ab\frac abba 简单分数适用
\cfrac{a}{b} => ab\cfrac{a}{b}ba 连续分数适用
\sqrt{x^3} => x3\sqrt{x^3}x3
\sqrt[3]{\frac xy} => xy3\sqrt[3]{\frac xy}3yx
\sin x => sin⁡x\sin xsinx
\vert a\vert => ∣a∣\vert a\vert∣a∣
\Vert a\Vert => ∥a∥\Vert a\Vert∥a∥
\langle A \rangle = >⟨A⟩\langle A \rangle⟨A⟩
\lceilA\rceil => ⌈A⌉\lceil A\rceil⌈A⌉
\lfloor A\rfloor => ⌊A⌋\lfloor A\rfloor⌊A⌋
\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr) =>(((((x)))))\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)(((((x)))))

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 =>∑i=0mi2\sum_{i=0}^m i^2∑i=0mi2
\int A => ∫A\int A∫A
\iint ∬ => ∬\iint∬
\iiint ∬ => ∭\iiint∭
\int_a^b => ∫ab\int_a^b∫ab
\prod_{n=1}^{123} => ∏n=1123\prod_{n=1}^{123}∏n=1123
\bigcup => ⋃\bigcup⋃
\bigcap => ⋂n=1123\bigcap_{n=1}^{123}⋂n=1123
\lim_{x\to 0} => lim⁡x→0\lim_{x\to 0}limx→0
{n+1 \choose 2k} ⇒ (n+12k){n+1 \choose 2k}(2kn+1)
\ldots => a1,a2…ana_1,a_2\ldots a_na1,a2…an
\cdots => a1,a2⋯ana_1,a_2\cdots a_na1,a2⋯an
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.

{a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3\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.⎩⎨⎧a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3

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

f(n)={n/2,if nis even3n+1,if nis oddf(n) = \begin{cases} n/2, & \text{if $n$ is even} \\ 3n+1, & \text{if $n$ is odd} \end{cases}f(n)={n/2,3n+1,if n is evenif n is odd

常用希腊字符

\alpha => α\alphaα
\beta => β\betaβ
\gamma => γ\gammaγ
\Gamma => Γ\GammaΓ
\omega => ω\omegaω
Omega => Ω\OmegaΩ
\Delta => Δ\DeltaΔ
\theta => θ\thetaθ
\epsilon => ϵ\epsilonϵ
\varepsilon => ε\varepsilonε
\phi => ϕ\phiϕ
\varphi => φ\varphiφ
\ell => ℓ\ellℓ

专用字符

-常规abcABC123
\mathbb {abcABC123} => abcABC123\mathbb {abcABC123}abcABC123
\mathit {abcABC123} => abcABC123\mathit {abcABC123}abcABC123
\pmb {abcABC123} => abcABC123\pmb {abcABC123}abcABC123abcABC123abcABC123
\mathtt {abcABC123} => abcABC123\mathtt {abcABC123}abcABC123
\mathrm {abcABC123} => abcABC123\mathrm {abcABC123}abcABC123
\mathsf {abcABC123} => abcABC123\mathsf {abcABC123}abcABC123
\mathcal {abcABC123} => abcABC123\mathcal {abcABC123}abcABC123
\mathscr {abcABC123} => abcABC123\mathscr {abcABC123}abcABC123
\mathfrak {abcABC123} => abcABC123\mathfrak {abcABC123}abcABC123

矩阵

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

1xx21yy21zz2\begin{matrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{matrix}111xyzx2y2z2

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

(1xx21yy21zz2)\begin{pmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{pmatrix}⎝⎛111xyzx2y2z2⎠⎞

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

[1xx21yy21zz2]\begin{bmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{bmatrix}⎣⎡111xyzx2y2z2⎦⎤

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

{1xx21yy21zz2}\begin{Bmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{Bmatrix}⎩⎨⎧111xyzx2y2z2⎭⎬⎫

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

∣1xx21yy21zz2∣\begin{vmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{vmatrix}∣∣∣∣∣∣111xyzx2y2z2∣∣∣∣∣∣

以上为常用内容提取自:

lMathJax basic tutorial and quick refer.