内卷地狱

Math Formula Syntax

Edit Me

Summation, Product & Binomial

ExampleCommand
∑i=1n\sum_{i=1}^n\sum_{i=1}^n
∏i=1n\prod_{i=1}^n\prod_{i=1}^n
(ab)\tbinom{a}{b}\tbinom{a}{b}

Matrices & Determinants

(abcd)\left(\begin{matrix} a & b \\ c & d \end{matrix}\right) 
$$
\left(\begin{matrix}
a & b \\
c & d
\end{matrix}\right)
$$
∣abcd∣\left|\begin{matrix} a & b \\ c & d \end{matrix}\right| 
$$
\left|\begin{matrix}
a & b \\
c & d
\end{matrix}\right|
$$
(12⋯n23⋯n+1⋮⋮⋱n2−1nn+1⋯n2)\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) 
$$
\left(\begin{matrix}
1 & 2 & \cdots & n \\
2 & 3 & \cdots & n+1 \\
\vdots & \vdots & \ddots & n^2 - 1\\
n & n+1 & \cdots & n^2
\end{matrix}\right)
$$

Aligned Equations

f(X∣θ)=f(x1,x2,⋯ ,xn∣θ)=f(x1∣θ)⋅f(x2∣θ)⋯f(xn∣θ)=∏i=1n1xi!e−θθxi=(∏i=1n1xi!)e−nθθ∑i=1nxi\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} 
$$
\begin{aligned}
    f(X|\theta) &= f(x_1,x_2,\cdots,x_n|\theta)\\
    &= f(x_1|\theta) \cdot f(x_2|\theta) \cdots f(x_n|\theta)\\
    &= \prod_{i=1}^n \frac{1}{x_i !} e^{-\theta}\theta^{x_i}\\
    &= \left(\prod_{i=1}^n \frac{1}{x_i !}\right) e^{-n \theta}\theta^{\sum_{i=1}^n x_i}
\end{aligned}
$$

Piecewise Functions (differs from standard LaTeX)

Since \equation and the standard \cases syntax are not supported here, a workaround is needed:

f(x,θ)={1x2πθe−12θ[log⁡(x)]2, x>00, otherwisef(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. 
$$
f(x,\theta) = \left\{ \begin{array}{ll}
\dfrac{1}{x\sqrt{2\pi \theta}} e^{-\frac{1}{2\theta} [\log(x)]^2} &,\text{ $x>0$} \\
0 &,\text{ otherwise}
\end{array} \right.
$$

贡献者

这篇文章有帮助吗？

最近更新

Involution Hell© 2026 byCommunityunderCC BY-NC-SA 4.0CCBYNCSA

On this page

Summation, Product & BinomialMatrices & DeterminantsAligned EquationsPiecewise Functions (differs from standard LaTeX)