基本内容
运算符号
1.初级运算符
| 数学表达式 | LaTeX代码 |
|---|---|
| \({a}\cdot{b}\) | {a}\cdot |
| \(a\times b\) | a\times b |
| \(a\div{b}\) | a\div |
| \(a\pm{b}\) | a\pm |
| \(\frac{a}{b}\) | \frac{a} |
| \(\sqrt[x]{_{a}}\) | \sqrt[x]{_{a}} |
| \(x^2\) | x^2 |
| \(x_1\) | x_1 |
| \(y''\) | y'' |
| \(1={9}\bmod{2}\) | 1={9}\bmod |
2.高级预算符
| 数学公式 | LaTeX表达式 |
|---|---|
| \(\int_{1}^{5}{x}\mathrm{d}{x}\) | \int_{1}^{5}{x}\mathrm{d} |
| \(\lim_{{x}\to\infty}\frac{1}{x}\) | \lim_{{x}\to\infty}\frac{1} |
| \(\sum_{i=1}^{n}i\) | \sum_{i=1}^{n}i |
| \(\prod_{i=1}^{n}{i}\) | $\prod_{i=1}^{n} |
3.多行公式组合一个公式
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cases实现公式组合（分段）
\[D(x)= \begin{cases} x, & x>3\\ 0, & x \leq 3 \end{cases} \]D(x)= \begin{cases} x, & x>3\\ 0, & x \leq 3 \end{cases} -
split实现公式拆分（推导）
\[\begin{split} D(x) &=\sin^2(x)+\cos^2(x)\\ &=1 \end{split} \]
\begin{split}
D(x) &=\sin^2(x)+\cos^2(x)\\
&=1
\end{split}
矩阵运算
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矩阵公式：&用于分隔列，\\用于分隔行
\begin{矩阵类型} 1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\\ \end{矩阵类型}矩阵类型有四种分别对应：
\[matrix \qquad \qquad \begin{matrix} 1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\\ \end{matrix}\\ \\ bmatrix \qquad \qquad \begin{bmatrix} 1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\\ \end{bmatrix}\\ \\ bmatrix \qquad \qquad \begin{vmatrix} 1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\\ \end{vmatrix}\\ \\ bmatrix \qquad \qquad \begin{pmatrix} 1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\\ \end{pmatrix} \]
逻辑运算符号
| 数学公式 | LaTeX表达式 |
|---|---|
| \(\neq\) | \neq |
| \(\equiv\) | \equiv |
| \(\leq\) | \leq |
| \(\geq\) | \geq |
特殊符号
| 数学公式 | LaTeX表达式 |
|---|---|
| 一个字符的间距 | \quad |
| 两个字符的间距 | \qquad |
| \(\ldots\) | \ldots |
| \(\cdots\) | \cdots |
| \(\vdots\) | \vdots |
| \(\ddots\) | \ddots |
| \(\hat{a}\) | \hat |
| \(\bar{a}\) | \bar |
| \(\tilde{x}\) | \tilde |
| \(\overline{x+y}\) | \overline |
| \(\underline{x+y}\) | \underline |
| \(\overbrace{1+2+\cdots+n}^{n个}\) | \overbrace{1+2+\cdots+n}^ |
| \(\underbrace{1+2+\cdots+n}_{n个}\) | \underbrace{1+2+\cdots+n}_ |
| \(\vec{a}\) | \vec |
| \(\overrightarrow{AB}\) | \overrightarrow |
| \(\overleftarrow{CD}\) | \overleftarrow |
希腊字母
| 希腊字母（小写） | 希腊字母（大写） | Latex公式 | 希腊字母（小写） | 希腊字母（大写） | Latex公式 | 希腊字母（小写） | 希腊字母（大写） | Latex公式 |
|---|---|---|---|---|---|---|---|---|
| \(\alpha\) | \(\Alpha\) | \alpha | \(\iota\) | \(\Iota\) | \iota | \(\varrho\) | \varrho | |
| \(\beta\) | \(\Beta\) | \beta | \(\kappa\) | \(\Kappa\) | \kappa | \(\sigma\) | \(\Sigma\) | \sigma |
| \(\gamma\) | \(\Gamma\) | \gamma | \(\lambda\) | \(\Lambda\) | \lambda | \(\varsigma\) | \varsigma | |
| \(\delta\) | \(\Delta\) | \delta | \(\mu\) | \(\Mu\) | \mu | \(\tau\) | \(\Tau\) | \tau |
| \(\epsilon\) | \(\Epsilon\) | \epsilon | \(\nu\) | \(\Nu\) | \nu | \(\upsilon\) | \(\Upsilon\) | \upsilon |
| \(\varepsilon\) | \varepsilon | \(\xi\) | \(\Xi\) | \xi | \(\phi\) | \(\Phi\) | \phi | |
| \(\zeta\) | \(\Zeta\) | \zeta | \(o\) | \(O\) | o | \(\varphi\) | \varphi | |
| \(\eta\) | \(\Eta\) | \eta | \(\pi\) | \(\Pi\) | \pi | \(\chi\) | \(\Chi\) | \chi |
| \(\theta\) | \(\Theta\) | \theta | \(\varpi\) | \varpi | \(\psi\) | \(\Psi\) | \psi | |
| \(\vartheta\) | \vartheta | \(\rho\) | \(\Rho\) | \rho | \(\omega\) | \(\Omega\) | \omega |
ps: 希腊字母大小写区别在于公式的首字母是否大小写。
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