Latex Math 目录 Latex Math 直接符号 数学表达式 根 积分 和 指数 分数 连分数 数的乘法 矩阵和数组 运算符 格式部分 控制水平间距 点 向方程添加文本 颜色 数学符号列表 格式化数学符号
- Latex Math
- 直接符号
- 数学表达式
- 根
- 积分
- 和
- 指数
- 分数
- 连分数
- 数的乘法
- 矩阵和数组
- 运算符
- 格式部分
- 控制水平间距
- 点
- 向方程添加文本
- 颜色
- 数学符号列表
- 格式化数学符号
- 关系符号
- 二元操作
- 集合和/或逻辑符号
- 重音符
- 希腊字母
- 奇奇怪怪的字符
- 分隔符
直接从键盘访问的符号:
\[+ - = ! / ( ) [ ] < > | ' : * \ \]数学表达式\pm \mp
\[\pm
\mp
\]根
\sqrt{\frac{a}{b}}
\sqrt [ a ] {b} \quad
\[\sqrt{\frac{a}{b}}
\sqrt [ a ] {b} \quad
\]积分
\int_0^\infty \mathrm{e}^{-x}\,\mathrm{d}x
\[\int_0^\infty \mathrm{e}^{-x}\,\mathrm{d}x
\]\int\limits_a^b \iint\limits_a^b
\[\int\limits_a^b \iint\limits_a^b
\]和
\sum_{i=1}^{10} t_i 或者 \displaystyle\sum_{i=1}^{10} t_i
\[\sum_{i=1}^{10} t_i
\]\sqrt[n]{1+x+x^2+x^3+\dots+x^n}
\[\sqrt[n]{1+x+x^2+x^3+\dots+x^n}
\]指数
k_{n+1} = n^2 + k_n^2 - k_{n-1}
\[k_{n+1} = n^2 + k_n^2 - k_{n-1}
\]f(n) = n^5 + 4n^2 + 2 |_{n=17}
\[f(n) = n^5 + 4n^2 + 2 |_{n=17}
\]分数
\frac { n! }{ k!(nk)! } = \binom { n }{ k }
\[\frac { n! }{ k!(nk)! } = \binom { n }{ k }
\]\frac { \frac { 1 } { x } + \frac { 1 } { y }} { y-z }
\[\frac { \frac { 1 } { x } + \frac { 1 } { y }} { y-z }
\]^3/_7
\[^3/_7
\]连分数
\begin{equation}
x = a_0 + \cfrac{1}{a_1
+ \cfrac{1}{a_2
+ \cfrac{1}{a_3 + \cfrac{1}{a_4} } } }
\end{equation}
\[\begin{equation}
x = a_0 + \cfrac{1}{a_1
+ \cfrac{1}{a_2
+ \cfrac{1}{a_3 + \cfrac{1}{a_4} } } }
\end{equation}
\]数的乘法
\begin{equation}
\frac{
\begin{array}[b]{r}
\left( x_1 x_2 \right)\\
\times \left( x'_1 x'_2 \right)
\end{array}
}{
\left( y_1y_2y_3y_4 \right)
}
\end{equation}
\[\begin{equation}
\frac{
\begin{array}[b]{r}
\left( x_1 x_2 \right)\\
\times \left( x'_1 x'_2 \right)
\end{array}
}{
\left( y_1y_2y_3y_4 \right)
}
\end{equation}
\]矩阵和数组
基本矩阵
\begin{matrix}
a & b & c \\
d & e & f \\
g & h & i
\end{matrix}
\[\begin{matrix}
a & b & c \\
d & e & f \\
g & h & i
\end{matrix}
\]要指定表格中列的对齐方式,请使用带*
的版本
\begin{matrix}
-1 & 3 \\
2 & -4
\end{matrix}
=
\begin{matrix*}[r]
-1 & 3 \\
2 & -4
\end{matrix*}
\[\begin{matrix}
-1 & 3 \\
2 & -4
\end{matrix}
=
\begin{matrix*}[r]
-1 & 3 \\
2 & -4
\end{matrix*}
\]通常使用水平、垂直和对角三组点(称为椭圆(ellipses))来填充某些列和行。这些可以分别使用\cdots
,\vdots
和指定\ddots
:
A_{m,n} =
\begin{pmatrix}
a_{1,1} & a_{1,2} & \cdots & a_{1,n} \\
a_{2,1} & a_{2,2} & \cdots & a_{2,n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m,1} & a_{m,2} & \cdots & a_{m,n}
\end{pmatrix}
\[A_{m,n} =
\begin{pmatrix}
a_{1,1} & a_{1,2} & \cdots & a_{1,n} \\
a_{2,1} & a_{2,2} & \cdots & a_{2,n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m,1} & a_{m,2} & \cdots & a_{m,n}
\end{pmatrix}
\]数组环境
\begin{array}{c|c}
1 & 2 \\
\hline
3 & 4
\end{array}
\[\begin{array}{c|c}
1 & 2 \\
\hline
3 & 4
\end{array}
\]M = \begin{bmatrix}
\frac{5}{6} & \frac{1}{6} & 0 \\[0.3em]
\frac{5}{6} & 0 & \frac{1}{6} \\[0.3em]
0 & \frac{5}{6} & \frac{1}{6}
\end{bmatrix}
\[M = \begin{bmatrix}
\frac{5}{6} & \frac{1}{6} & 0 \\[0.3em]
\frac{5}{6} & 0 & \frac{1}{6} \\[0.3em]
0 & \frac{5}{6} & \frac{1}{6}
\end{bmatrix}
\]运算符
运算符是一个用单词表示的函数
如三角函数(sin, cos, tan),对数和/指数(log, exp),极限(lim),以及迹和行列式(tr, det)
\[\arccos \cos \csc \exp \ker \limsup \min \\ \arcsin \cosh \deg \gcd \lg \ln \Pr\\ \arctan \cot \det \hom \lim \log \sec\\ \arg \coth \dim \inf \liminf \max \sin\\ \sinh \sup \tan \tanh \]\times
\(\div\)
\div
\(\csc\)
\csc
\(\sec\)
\sec
\(\exp\)
\exp
\(\ker\)
\ker
\(\limsup\)
\limsup
\(\sup\)
\sup
\(\max\)
\max
\(\min\)
\min
\(\arcsin\)
\arcsin
\(\arccos\)
\arccos
\(\cos\)
\cos
\(\cosh\)
\cosh
\(\deg\)
\deg
\(\gcd\)
\gcd
\(\lg\)
\lg
\(\ln\)
\ln
\(\Pr\)
\Pr
\(\liminf\)
\liminf
\(\det\)
\det
\(\hom\)
\hom
\(\lim\)
\lim
\(\log\)
\log
\(\arg\)
\arg
\(\coth\)
\coth
\(\dim\)
\dim
\(\inf\)
\inf
\(\sin\)
\sin
\(\sinh\)
\sinh
\(\cot\)
\cot
\(\arctan\)
\arctan
\(\tan\)
\tan
\(\tanh\)
\tanh
\(\mod n\)
\mod
\(\pmod n\)
\pmod
\(\equiv\)
\equiv
\(\bmod\)
\bmod
\cos (2 \theta )= \cos ^ 2 \theta- \ sin ^ 2 \theta
\[\cos (2 \theta )= \cos ^ 2 \theta- \ sin ^ 2 \theta
\]\lim\limits _{ x \to \infty } \exp (-x) = 0
\[\lim\limits _{ x \to \infty } \exp (-x) = 0
\]格式部分
控制水平间距
\,
小空间
四边形的 3/18
\(\int y \, \mathrm { d } x\)
\:
中等空间
四边形的 4/18
\(\int y \: \mathrm { d } x\)
\;
大空间
四边形的 5/18
\(\int y \; \mathrm { d } x\)
\!
负空间
四边形的-3/18
\(\int y \! \mathrm { d } x\)
f(n) =
\begin{cases}
n/2 & \quad \text{if } n \text{ is even}\\
-(n+1)/2 & \quad \text{if } n \text{ is odd}
\end{cases}
\[f(n) =
\begin{cases}
n/2 & \quad \text{if } n \text{ is even}\\
-(n+1)/2 & \quad \text{if } n \text{ is odd}
\end{cases}
\]点
\dots
\(\dots\)
通用点(省略号),用于文本(公式之外)。它根据上下文自动管理自身前后的空格,这是一个更高级别的命令。
\ldots
\(\ldots\)
输出与上一个类似,但没有自动空白管理;它在较低级别上工作。
\cdots
\(\cdots\)
这些点相对于字母的高度居中。还有\cdot
下面提到的二元乘法运算符 。
\vdots
\(\vdots\)
垂直点
\ddots
\(\ddots\)
对角点
\iddots
\(\iddots\)
反向对角点(需要mathdots包)
\hdotsfor{n}
\(\hdotsfor{n}\)
要在矩阵中使用,它会创建一行跨越n列的点。
向方程添加文本
50 \text{ apples} \times 100 \text{ apples}
= \text{lots of apples}^2
\[50 \text{ apples} \times 100 \text{ apples}
= \text{lots of apples}^2
\]颜色
在Colors中描述的包xcolor允许我们为方程添加颜色。
black, blue, brown, cyan, darkgray, gray, green, lightgray, lime, magenta, olive, orange, pink, purple, red, teal, violet, white, yellow.
k = {\color{red}x} \mathbin{\color{blue}-} 2
\[k = {\color{red}x} \mathbin{\color{blue}-} 2
\]\color{red} C^2 \\
\color{yellow} A = \color{blue}{B} \mathbin{\color{red}{-}} \color{green}{C}
\[\color{red} C^2 \\
\color{yellow} A = \color{blue}{B} \mathbin{\color{red}{-}} \color{green}{C}
\] \color{yellow} A \color{magenta}=
\color{blue}{B}
\mathbin{\color{red}-}% shorter than \mathbin{\color{red}{-}}
\color{green}{C}
\color{cyan}+
D
\[\color{yellow} A \color{magenta}=
\color{blue}{B}
\mathbin{\color{red}-}% shorter than \mathbin{\color{red}{-}}
\color{green}{C}
\color{cyan}+
D
\]数学符号列表
常用
\sum
\(\prod\)
\prod
\(\coprod\)
\coprod
\(\bigoplus\)
\bigoplus
\(\bigotimes\)
\bigotimes
\(\bigodot\)
\bigodot
\(\bigcup\)
\bigcup
\(\bigcap\)
\bigcap
\(\biguplus\)
\biguplus
\(\bigsqcup\)
\bigsqcup
\(\bigvee\)
\bigvee
\(\bigwedge\)
\bigwedge
\(\int\)
\int
\(\oint\)
\oint
\(\iint\)
\iint
\(\iiint\)
\iiint
\(\iiiint\)
\iiiint
\(\idotsint\)
\idotsint
格式化数学符号
\mathnormal{…}
默认数学字体
\mathrm{…}
这是默认或普通字体,单位化,计量单位,一字功能
\mathit{…}
斜体字体
\mathbf{…}
粗体,矢量图
\mathsf{…}
无衬线字体
\mathtt{…}
等宽
\mathbb{…}
黑板粗体,用于表示特殊集合(例如实数)
\mathcal{…}
书法(仅限大写),通常用于轮/方案和类别,用于表示密码学概念
\mathscr{…}
\mathfrak{…}
.
\(<\)
<
\(>\)
>
\(=\)
=
\(\parallel\)
\parallel
\(\nparallel\)
\nparallel
\(\leq\)
\leq
\(\geq\)
\geq
\(\doteq\)
\doteq
\(\asymp\)
\asymp
\(\bowtie\)
\bowtie
\(\ll\)
\ll
\(\gg\)
\gg
\(\equiv\)
\equiv
\(\vdash\)
\vdash
\(\dashv\)
\dashv
\(\subset\)
\subset
\(\supset\)
\supset
\(\approx\)
\approx
\(\in\)
\in
\(\ni\)
\ni
\(\subseteq\)
\subseteq
\(\supseteq\)
\supseteq
\(\cong\)
\cong
\(\smile\)
\smile
\(\frown\)
\frown
\(\nsubseteq\)
\nsubseteq
\(\nsupseteq\)
\nsupseteq
\(\simeq\)
\simeq
\(\models\)
\models
\(\notin\)
\notin
\(\sqsubset\)
\sqsubset
\(\sqsupset\)
\sqsupset
\(\sim\)
\sim
\(\perp\)
\perp
\(\mid\)
\mid
\(\sqsubseteq\)
\sqsubseteq
\(\sqsupseteq\)
\sqsupseteq
\(\propto\)
\propto
\(\prec\)
\prec
\(\succ\)
\succ
\(\preceq\)
\preceq
\(\succeq\)
\succeq
\(\neq\)
\neq
\(\sphericalangle\)
\sphericalangle
\(\measuredangle\)
\measuredangle
\(\therefore\)
\therefore
\(\because\)
\because
\(\thicksim\)
\thicksim
\(\backsim\)
\backsim
二元操作
\pm
\(\cap\)
\cap
\(\diamond\)
\diamond
\(\oplus\)
\oplus
\(\mp\)
\mp
\(\cup\)
\cup
\(\bigtriangleup\)
\bigtriangleup
\(\ominus\)
\ominus
\(\times\)
\times
\(\uplus\)
\uplus
\(\bigtriangledown\)
\bigtriangledown
\(\otimes\)
\otimes
\(\div\)
\div
\(\sqcap\)
\sqcap
\(\triangleleft\)
\triangleleft
\(\oslash\)
\oslash
\(\ast\)
\ast
\(\sqcup\)
\sqcup
\(\triangleright\)
\triangleright
\(\odot\)
\odot
\(\star\)
\star
\(\vee\)
\vee
\(\bigcirc\)
\bigcirc
\(\circ\)
\circ
\(\dagger\)
\dagger
\(\wedge\)
\wedge
\(\bullet\)
\bullet
\(\setminus\)
\setminus
\(\ddagger\)
\ddagger
\(\cdot\)
\cdot
\(\wr\)
\wr
\(\amalg\)
\amalg
集合和/或逻辑符号
\exists
\(\rightarrow\)
\rightarrow
或\to
\(\nexists\)
\nexists
\(\leftarrow\)
\leftarrow
或\gets
\(\forall\)
\forall
\(\mapsto\)
\mapsto
\(\neg\)
\neg
\(\implies\)
\implies
\(\cap\)
\cap
\(\cup\)
\cup
\(\subset\)
\subset
\(\impliedby\)
\impliedby
\(\supset\)
\supset
\(\Rightarrow\)
\Rightarrow
\(\in\)
\in
\(\leftrightarrow\)
\leftrightarrow
\(\notin\)
\notin
\(\iff\)
\iff
\(\ni\)
\ni
\(\Leftrightarrow\)
\Leftrightarrow
\(\land\)
\land
\(\top\)
\top
\(\lor\)
\lor
\(\bot\)
\bot
\(\angle\)
\angle
\(\emptyset\)
\emptyset
\(\varnothing\)
\varnothing
\(\rightleftharpoons\)
\rightleftharpoons
重音符
\hat{a}
\(\check{a}\)
\check{a}
\(\tilde{a}\)
\tilde{a}
\(\acute{a}\)
\acute{a}
\(\grave{a}\)
\grave{a}
\(\dot{a}\)
\dot{a}
\(\ddot{a}\)
\ddot{a}
\(\breve{a}\)
\breve{a}
\(\bar{a}\)
\bar{a}
\(\vec{a}\)
\vec{a}
\(\widehat{A}\)
\widehat{A}
\(\widetilde{A}\)
\widetilde{A}
希腊字母
\[\alpha,\Alpha,\beta,\Beta,\gamma,\Gamma,\pi,\Pi,\phi,\varphi,\mu,\Phi
\]
A \alpha
\(N\)and\(\nu\)
N \nu
\(B\)and\(\beta\)
B \beta
\(\Xi\)and\(\xi\)
\Xi \xi
\(\Gamma\)and\(\gamma\)
\Gamma \gamma
\(O\)and\(o\)
O o
\(\Delta\)and\(\delta\)
\Delta \delta
\(\Pi\),\(\pi\)and\(\varpi\)
\Pi
,\pi \varpi
\(E\),\(\epsilon\)and\(\varepsilon\)
E \epsilon \varepsilon
\(P\),\(\rho\)and\(\varrho\)
P
,\rho \varrho
\(Z\)and\(\zeta\)
Z \zeta
\(\Sigma\),\(\sigma\)and\(\varsigma\)
\Sigma \sigma \varsigma
\(H\)and\(\eta\)
H \eta
\(T\)and\(\tau\)
T \tau
\(\Theta\),\(\theta\)and\(\vartheta\)
\Theta \theta \vartheta
\(\Phi\),\(\phi\)and\(\varphi\)
\Phi \phi \varphi
\(\Upsilon\)and\(\upsilon\)
\Upsilon \upsilon
\(I\)and\(\iota\)
I \iota
\(K\),\(\kappa\)and\(\varkappa\)
K
,\kappa \varkappa
\(\Omega\)and\(\omega\)
\Omega \omega
\(X\)and\(\chi\)
X \chi
\(\Lambda\)and\(\lambda\)
\Lambda \lambda
\(\Psi\)and\(\psi\)
\Psi \psi
\(M\)and\(\mu\)
M \mu
奇奇怪怪的字符
\partial
\(\imath\)
\imath
\(\Re\)
\Re
\(\nabla\)
\nabla
\(\aleph\)
\aleph
\(\eth\)
\eth
\(\jmath\)
\jmath
\(\Im\)
\Im
\(\Box\)
\Box
\(\beth\)
\beth
\(\hbar\)
\hbar
\(\ell\)
\ell
\(\wp\)
\wp
\(\infty\)
\infty
\(\gimel\)
\gimel
\(\heartsuit\)
\heartsuit
\(\sharp\)
\sharp
$\natural $
\natural
\(\clubsuit\)
\clubsuit
\(\spadesuit\)
\spadesuit
分隔符
或
\mid(间距不同)`
\(|\)
|
\(/\)
/
\(\{\)
\{
\(\}\)
\}
\(\langle\)
\langle
\(\rangle\)
\rangle
\(\uparrow\)
\uparrow
\(\Uparrow\)
\Uparrow
\(\lceil\)
\lceil
\(\rceil\)
\rceil
\(\downarrow\)
\downarrow
\(\Downarrow\)
\Downarrow
\(\lfloor\)
\lfloor
\(\rfloor\)
\rfloor
\(\lmoustache\)
\lmoustache
\(\lmoustache\)
\lmoustache
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