求和、求积、二项式
| 样例 | 指令 |
|---|---|
\sum_{i=1}^n | |
\prod_{i=1}^n | |
\tbinom{a}{b} |
矩阵、行列式
$$
\left(\begin{matrix}
a & b \\
c & d
\end{matrix}\right)
$$$$
\left|\begin{matrix}
a & b \\
c & d
\end{matrix}\right|
$$$$
\left(\begin{matrix}
1 & 2 & \cdots & n \\
2 & 3 & \cdots & n+1 \\
\vdots & \vdots & \ddots & n^2 - 1\\
n & n+1 & \cdots & n^2
\end{matrix}\right)
$$维持等号缩进
$$
\begin{aligned}
f(X|\theta) &= f(x_1,x_2,\cdots,x_n|\theta)\\
&= f(x_1|\theta) \cdot f(x_2|\theta) \cdots f(x_n|\theta)\\
&= \prod_{i=1}^n \frac{1}{x_i !} e^{-\theta}\theta^{x_i}\\
&= \left(\prod_{i=1}^n \frac{1}{x_i !}\right) e^{-n \theta}\theta^{\sum_{i=1}^n x_i}
\end{aligned}
$$分段函数的表示（与Latex有差异）
因为不能用\equation和各种\cases，所以需要变通一下
$$
f(x,\theta) = \left\{ \begin{array}{ll}
\dfrac{1}{x\sqrt{2\pi \theta}} e^{-\frac{1}{2\theta} [\log(x)]^2} &,\text{ $x>0$} \\
0 &,\text{ otherwise}
\end{array} \right.
$$