markdown
目录
正文
一、希腊字母
| 大写 | 语法 | 小写 | 语法 |
|---|---|---|---|
| \(A\) | A | \(\alpha\) | \alpha |
| \(B\) | B | \(\beta\) | \beta |
| \(\Gamma\) | \Gamma | \(\gamma\) | \gamma |
| \(\Delta\) | \Delta | \(\delta\) | \delta |
| \(E\) | E | \(\epsilon\) | \epsilon$$ |
| \(E\) | E | \(\varepsilon\) | \varepsilon |
| \(E\) | E | \(\eta\) | \eta |
| \(Z\) | Z | \(\zeta\) | \zeta |
| \(\Theta\) | \Theta | \(\theta\) | \theta |
| \(I\) | I | \(\iota\) | \iota |
| \(K\) | K | \(\kappa\) | \kappa |
| \(\Lambda\) | \Lambda | \(\lambda\) | \lambda |
| \(M\) | M | \(\mu\) | \mu |
| \(N\) | N | \(\nu\) | \nu |
| \(\Xi\) | \Xi | \(\xi\) | \xi |
| \(O\) | O | \(\omicron\) | \omicron |
| \(\Pi\) | \Pi | \(\pi\) | \pi |
| \(P\) | P | \(\rho\) | \rho |
| \(\Sigma\) | \Sigma | \(\sigma\) | \sigma |
| \(T\) | T | \(\tau\) | \tau |
| \(\Upsilon\) | \Upsilon | \(\upsilon\) | \upsilon |
| \(\Phi\) | \Phi | \(\phi\) | \phi |
| \(\Phi\) | \Phi | \(\varphi\) | \varphi |
| \(X\) | X | \(\chi\) | \chi |
| \(\Psi\) | \Psi | \(\psi\) | \psi |
| \(\Omega\) | \Omega | \(\omega\) | \omega |
若需要大写希腊字母，将语法的首字母大写即可。
若需要斜体希腊字母，将语法前添加var前缀。
二、公式
| 名称 | 公式 | 语法 |
|---|---|---|
| 分数 | \(\frac{x+y}{a+b}\) | \frac{x+y}{a+b} |
| 下标 | \(x_{i,j}\),\(x_n\) | x_{i,j},x_n |
| 幂次 | \(x^a\) | x^a |
| 省略号 | \(\cdots\) | \cdots |
| 省略号 | \(\vdots\) | \vdots |
| 根号 | \(\sqrt{2}\),\(\sqrt[n]{3}\) | \sqrt{2},\sqrt[n]{3} |
| 点乘 | \(\cdot\) | \cdot |
| 点符号 | \(\star \ast \oplus \circ \bullet\) | \star \ast \oplus \circ \bullet |
| 积分 | \(\int^2_3 x^2 {\rm d}x\) | \int^2_3 x^2 {\rm d}x |
| 导数 | \({\rm d}u\), \(\frac{d u}{d x}\) | {\rm d} u, \frac{d u}{d x} |
| 偏导数 | \(\partial u\), \(\frac{\partial u}{\partial x}\) | \partial u, \frac{\partial u}{\partial x} |
| 分隔符 | $$\left. \frac{d u}{d x} \right | _{x=0}$$ |
| 条件概率 | \(P(A \mid B)\) | P(A \mid B) |
| 极限 | \(\lim_{n\rightarrow+\infty} n\) | \lim_{n\rightarrow+\infty} n |
| 累加 | \(\sum i^2\) | \sum i^2 |
| 累乘 | \(\prod i^2\) | \prod i^2 |
| 三角函数 | \(\sin\), \(\cos\), \(\tan\) | \sin.cos, \tan |
| 对数 | \(\ln15\),\(\log_2 10\), \(\lg7\) | \ln15,\log_2 10,\lg7 |
| 特殊符号 | \(\aleph_0 \nabla \Im \Re\) | \aleph_0 \nabla \Im \Re |
三、各种帽子
| 名称 | 公式 | 语法 |
|---|---|---|
| \(\vec{a}\) | \vec{a} | |
| \(\overrightarrow{xy}\) | \overrightarrow{xy} | |
| \(30^\circ\) | 30^\circ | |
| \(\prime\) | \prime | |
| \(\hat{y}\) | \hat{y} | |
| \(\widehat{y}\) | \widehat{y} | |
| \(\tilde{y}\) | \tilde{y} | |
| \(\widetilde{y}\) | \widetilde{y} | |
| \(\dot{y}\) | \dot{y} | |
| \(\ddot{y}\) | \ddot{y} | |
| \(\check{y}\) | \check{y} | |
| \(\breve{y}\) | \breve{y} | |
| \(\overline{a+b+c+d}\) | \overline{a+b+c+d} | |
| \(\underline{a+b+c+d}\) | \underline{a+b+c+d} | |
| \(\overbrace{a+\underbrace{b+c}_{1.0}+d}^{2.0}\) | \overbrace{a+\underbrace{b+c}_{1.0}+d}^{2.0} |
四、关系运算符
| 运算符 | markdown |
|---|---|
| \(\pm\) | \pm |
| \(\times\) | \times |
| \(\div\) | \div |
| \(\neq\) | \neq |
| \(\leq\) | \leq |
| \(\geq\) | \geq |
| \(\approx\) | \approx |
| \(\equiv\) | \equiv |
| \(\prec\) | \prec |
| \(\sim\) | \sim |
| \(\cong\) | \cong |
| \(\mid\) | \mid |
| \(\nmid\) | \nmid |
| \(\cdot\) | \cdot |
| \(\circ\) | \circ |
| \(\ast\) | \ast |
| \(\bigodot\) | \bigodot |
| \(\bigotimes\) | \bigotimes |
| \(\bigoplus\) | \bigoplus |
| \(\sum\) | \sum |
| \(\prod\) | \prod |
| \(\coprod\) | \coprod |
| \(\emptyset\) | \emptyset |
| \(\varnothing\) | \varnothing |
| \(\in\) | \in |
| \(\notin\) | \notin |
| \(\subset\) | \subset |
| \(\supset\) | \supset |
| \(\subseteq\) | \subseteq |
| \(\supseteq\) | \supseteq |
| \(\cap\) | \cap |
| \(\cup\) | \cup |
| \(\bigcap\) | \bigcap |
| \(\bigcup\) | \bigcup |
| \(\bigvee\) | \bigvee |
| \(\bigwedge\) | \bigwedge |
| \(\biguplus\) | \biguplus |
| \(\bigsqcup\) | \bigsqcup |
| \(\angle\) | \angle |
| \(\int\) | \int |
| \(\iint\) | \iint |
| \(\iiint\) | \iiint |
| \(\iiiint\) | \iiiint |
| \(\oint\) | \oint |
| \(\lim\) | \lim |
| \(\infty\) | \infty |
| \(\nabla\) | \nabla |
| \(\because\) | \because |
| \(\therefore\) | \therefore |
| \(\forall\) | \forall |
| \(\exists\) | \exists |
| \(\not=\) | \not= |
| \(\not>\) | \not> |
| \(\not\subset\) | \not\subset |
| \(a \quad bc\) | a \quad bc |
| \(a \qquad bc\) | a \qquad bc |
| \({n+1 \choose 2k}{\binom{n+1}{2k}}\) | {n+1 \choose 2k}{\binom{n+1}{2k}} |
| \(\land\) | \land |
| \(\lor\) | \lor |
| \(\lnot\) | \lnot |
| \(a\equiv b\pmod n\) | a\equiv b\pmod n |
五、箭头
| 箭头 | 语法 |
|---|---|
| \(\uparrow\) | \uparrow |
| \(\Uparrow\) | \Uparrow |
| \(\downarrow\) | \downarrow |
| \(\Downarrow\) | \Downarrow |
| \(\to\) | \to |
| \(\rightarrow\) | \rightarrow |
| \(\Rightarrow\) | \Rightarrow |
| \(\leftarrow\) | \leftarrow |
| \(\Leftarrow\) | \Leftarrow |
| \(\longrightarrow\) | \longrightarrow |
| \(\Longrightarrow\) | \Longrightarrow |
| \(\longleftarrow\) | \longleftarrow |
| \(\Longlefttarrow\) | \Longleftarrow |
| \(\mapsto\) | \mapsto |
六、字体
| 字体 | 语法 |
|---|---|
| \(\mathtt{A}\) | \mathtt{A} |
| \(\mathbb{A}\) | \mathbb{A} |
| \(\mathsf{A}\) | \mathsf{A} |
| \(\rm\) | $${\rm 罗马体} |
| \(\it\) | $${\it 意大利体} |
| \(\bf\) | $${\cf 黑体} |
| \(\sf\) | $${\sf 等线体} |
| \(\mit\) | $${\mit 数学斜体} |
| \(\tt\) | \({\tt 打字机字体}\) |
| \(\sc\) | \({\sc 小体大写字母}\) |
七、对齐
利用&符号来对齐，在每个等号前添加&符号即可
\begin{eqnarray}
\cos 2\theta & = & \cos^2 \theta - \sin^2 \theta
& = & 2 \cos^2 \theta - 1.
\end{eqnarray}
\begin{aligned} % requires amsmath; align* for no eq. number
A & =(x-y)(x+y)
& =xx+xy-yx-yy
& = x^2 - y^2
\end{aligned}
八、矩阵和行列式
$
matrix
[ \left( \begin{array}{ccc}
a & b & c
d & e & f
g & h & i \end{array} \right)]$
$
[ \chi(\lambda) = \left| \begin{array}{ccc}
\lambda - a & -b & -c
-d & \lambda - e & -f
-g & -h & \lambda - i \end{array} \right|.]
$
九、各种括号
| 功能 | 语法 | 显示 | |||
|---|---|---|---|---|---|
| 尖括号 | \(\langle x \rangle\) | \langle x \rangle | |||
| 上取整 | \(\lceil x \rceil\) | \lceil x \rceil | |||
| 下取整 | \(\lfloor x \rfloor\) | \lfloor x \rfloor | |||
| 圆括号，小括号 | \(\left( \frac{a}{b} \right)\) | (ab)(ab) | |||
| 方括号，中括号 | \(\left{ \frac{a}{b} \right}\) | {ab}{ab} | |||
| 花括号，大括号 | \(\left{ \frac{a}{b} \right}\) | $\left{ \frac{a}{b} \right$ | |||
| 角括号 | \left \langle \frac{a}{b} \right \rangle | ⟨ab⟩⟨ab⟩ | |||
| 单竖线，绝对值 | \left | \frac{a}{b} \right | ∣∣ab∣∣ | ab | |
| 双竖线，范式 | \left | \frac{a}{b} \right | | ∥∥ab∥∥‖ab‖ | |||
| 取整函数 | \left \lfloor \frac{a}{b} \right \rfloor | ⌊ab⌋⌊ab⌋ | |||
| 取顶函数 | \left \lceil \frac{c}{d} \right \rceil | ⌈cd⌉⌈cd⌉ | |||
| 斜线与反斜线 | \left / \frac{a}{b} \right \backslash | /ab\/ab| | |||
| 上下箭头 | \left \uparrow \frac{a}{b} \right \downarrow | ↑⏐⏐ab⏐↓⏐↑ab↓ | |||
| 混合括号1 | \left [ 0,1 \right ) | [0,1)[0,1) | |||
| 混合括号2 | \left \langle \psi \right | ⟨ψ | ⟨ψ | ||
| 单左括号 | \left { \frac{a}{b} \right | . {ab{ab | |||
| 单右括号 | \left . \frac{a}{b} \right } | ab} |
集合运算符号
\emptyset \in \notin \subset \supset \subseteq \supseteq \bigcap \bigcup \bigvee \bigwedge \biguplus \bigsqcup
运算符 markdown |—-|—–|
\(\pm\) \pm
\(\times\) \times
1）|、-、:之间的多余空格会被忽略，不影响布局。 2）默认标题栏居中对齐，内容居左对齐。 3）-:表示内容和标题栏居右对齐，:-表示内容和标题栏居左对齐，:-:表示内容和标题栏居中对齐。 4）内容和|之间的多余空格会被忽略，每行第一个|和最后一个|可以省略，-的数量至少有一个。
表格 【书写方式】\(\begin{array}{列样式} 表格内容 \end{array}\) 【列样式】{c|clr}——共指定4列(第1列和第2列间有一条竖线)，clr分别表示居中center、靠左left、靠右right 【表格行列间隔】各行使用\分隔，各列使用 & 分隔 【公式中注释】%后面紧跟着注释 【公式常文本】\text{文本内容} 其中的文本内容 不会随着公式字体倾斜 【表格水平线和垂直线】垂直线在列样式中用|间隔，水平线在行中 用\hline指定
\[%指定4列，第1列水平居中，第1列和第2列间垂直线，第2、3、4列分别左靠齐、居中、右靠齐 \begin{array}{c|lcr} n & \text{Left} & \text{Center} & \text{Right} \\ \hline 1 & 0.24 & 1 & 125 \\ 2 & -1 & 189 & -8 \\ 3 & -20 & 2000 & 1+10i \\ \end{array}\]矩阵基本用法 【书写方式】\(\begin{matrix} 矩阵内容 \end{matrix}\) 【矩阵行列间隔】各行使用\分隔，各列使用 & 分隔
\[\begin{matrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \\ \end{matrix}\]增广矩阵 【书写方式】增广矩阵需要使用前面的array来实现
\[\left[ \begin{array}{cc|c} 1&2&3\\ 4&5&6 \end{array} \right]\]矩阵加括号 【书写方式1】采用2.3中做法——使用\left与\right配合表示括号符号 【书写方式2】使用特殊的matrix
名称 符号 显示 LaTex 小括号矩阵 pmatrix (12 34 ) \begin{pmatrix}1&2\3&4\ \end{pmatrix} 中括号矩阵 bmatrix [12 34 ] \begin{bmatrix}1&2\3&4\ \end{bmatrix} 大括号矩阵 Bmatrix {12 34 } \begin{Bmatrix}1&2\3&4\ \end{Bmatrix} 行列式 vmatrix |12 34 | \begin{vmatrix}1&2\3&4\ \end{vmatrix} 矩阵的模 Vmatrix ∥12 34 ∥ \begin{Vmatrix}1&2\3&4\ \end{Vmatrix}
https://whaozl.github.io/2016/08/07/tool-markdown-latex.html