如何在 LaTeX 中表示以下数学运算

Question

我想知道如何在 LaTeX 中表达以下（复杂的）数学方程式。

Answer 1

\documentclass{article}
\usepackage{amsmath}

\begin{document}

    \[ A \in R^{M \times K_{0,}} \]

    \[ u = [u_1,\dots,u_{K_0}]^T \]

    \[ \min\sum^{K_0}_{i=1}(u_i+v_i), \text{ s.t. } [A,-A][u^T,v^T]^T = y, u \geq 0, v \geq 0, \]

    \[ \mathit{Ind}^{(n)}_+ \text{ and } \mathit{Ind}^{(n)}_- \]

    \[ \mathit{IND}^+_k = \underset{n}{\bigcup}\mathit{Ind}^{(n)}_+, \quad  \mathit{IND}^-_k = \underset{n}{\bigcup}\mathit{Ind}^{(n)}_-\]

    \[ f_\sigma(t) \overset{\Delta}{=} \exp\left(\frac{-t^2}{2\sigma^2}\right) \]

    \[ \|s\|^0_0 \approx n - F_\sigma(s) \text{ for small } \sigma \]

    \[ \textstyle F_\sigma(s) = \sum_{i=1}^nf_\sigma(s_1) \]

    \[ \begin{array}{c}
            \max\lim_{\sigma \rightarrow 0} F_\sigma(s) \\
            \text{s.t. } y = \text{As}
        \end{array} \]

\end{document}