typora公式记录

\[点不等于：\quad (c + d)\cdot2 \neq 1 \tag{01} \]

\[恒等于取模：\quad 1\equiv1 \quad 5\bmod 2 \equiv 1 \tag{02} \]

\[公式：\quad f(x) = x + 1 \tag{03} \]

\[上下标：\quad g^2(x) = x_1^2 + 2 \tag{04} \]

\[根号分式：\quad \sqrt{2} + \sqrt{x^{\frac{x}{2}}-\sqrt{y}^3} = x^{\frac{2}{y}} \tag{05} \]

\[上大括号：\quad \overbrace{1 + 2 + \cdots + n}^{n个} \\ 下大括号：\quad \underbrace{1 + 2 + \cdots + n}_{n个} \tag{06} \]

\[上水平线：\quad \overline{x + y} \\ 下水平线：\quad \underline{x + y} \tag{07} \]

\[向量:\quad \vec{a} + \vec{b} = \vec{c} \tag{08} \]

\[向左箭头：\quad \overleftarrow{AB} \\ 向右箭头：\quad \overrightarrow{CD} \tag{09} \]

\[无穷大：\quad \infty \\ 积分：\quad \int_{-\infty}^{+\infty}\frac{1}{2}{x^2}\mathrm{d}x \\ 极限：\quad \lim_{x \to \infty} x^2_{0} + 2*x_1^3 \tag{10} \]

\[求和：\quad \sum_{n=1}^{\infty} \frac{1}{n} \\ 乘积：\quad \prod_{j = 1}^{10} 2x_j + \frac{1}{x_j} \tag{11} \]

\[9*9乘法表：\\ 1*1 = 1 \\ 1*2=2 & 2*2=4 \\ 1*3=3 & 2*3=6 & 3*3=9\\ 1*4=3 & 2*4=6 & 3*4=9 & 4*4=16\\ 1*5=5 & 2*5=10 & 3*5=15 & 4*5=20 & 5*5=25\\ 1*6=6 & 2*6=6 & 3*6=18 & 4*6=24 & 5*6=30 & 6*6=36\\ 1*7=7 & 2*7=14 & 3*7=21 & 4*7=28 & 5*7=35 & 6*7=42 & 7*7=49\\ 1*8=8 & 2*8=16 & 3*8=24 & 4*8=32 & 5*8=40 & 6*8=48 & 7*8=56 & 8*8=64\\ 1*9=9 & 2*9=18 & 3*9=27 & 4*9=36 & 5*9=45 & 6*9=54 & 7*9=63 & 8*9=72 & 9*9=81 \tag{12}\\ 换行：\quad \\ 分割：\quad & \]

\[圆点：\quad 1,2,3\cdots \\ 省略号：\quad x\cdot2 = 2x \\ 垂直点：\quad 1\\ \vdots \\ n\\ 对角线点：\quad 1 \ddots 5 \tag{13} \]

\[重音符号 \hat{x} \quad \bar{x} \quad \tilde{x} \quad \dot{x} \quad \ddot{x} \quad \dddot{x} \quad \ddddot{x} \tag{14} \]

\[裸矩阵: \begin{matrix} a & b \\ c & d \end{matrix} \tag{15} \\ 中括号矩阵： \begin{bmatrix} a & b \\ c & d \end{bmatrix} \\ 竖直矩阵： \begin{vmatrix} a & b \\ c & d \end{vmatrix} \\ 小括号矩阵： \begin{pmatrix} a & b \\ c & d \end{pmatrix} \\ \]

\[偏导：\quad \frac{\partial y}{\partial x} \tag{16} \]

\[公式组： D(x)=\begin{cases} \lim\limits_{x \to 0} \frac{1}{x}, & x<3 \\ \pi, & x=3 \\ \int_0^{\infty} \frac{e}{x^2+1} \mathrm{d}x, &x>3 \tag{17} \end{cases} \]

\[希腊小写字母\\ \begin{vmatrix} \alpha & \beta & \gamma & \delta & \epsilon & \zeta \\ \eta & \theta & \iota & \kappa & \lambda & \mu \\ \nu & \xi & \omicron & \pi & \rho & \sigma \\ \tau & \upsilon & \phi & \chi & \psi & \omega \\ \varepsilon & \vartheta & \varsigma & \varphi & \varrho & \varpi & \end{vmatrix} \tag{18} \]

\[希腊大写字母\\ \begin{vmatrix} \Alpha & \Beta & \Gamma & \Delta & \Epsilon & \Zeta \\ \Eta & \Theta & \Iota & \Kappa & \Lambda & \Mu \\ \Nu & \Xi & \Omicron & \Pi & \Rho & \Sigma \\ \Tau & \Upsilon & \Phi & \Chi & \Psi & \Omega \\ \varDelta & \varLambda & \varXi & \varPi & \varSigma & \varUpsilon \\ \varPhi & \varPsi & \varOmega \end{vmatrix} \]