目录

为美赛做个准备吧，正好把latex一些用法整理一下。

以tex live为准。

字体

罗马字体 \mathrm{}

for i in range(97, 123):    print('$\\mathrm{
    {
    {0}}}$'.format(chr(i)))

$\mathrm{*}$

for i in range(65, 91):    print('$\\mathrm{
    {
    {0}}}$'.format(chr(i)))

$\mathrm{*}$

斜体 \mathit{}

$\mathit{*}$

for i in range(97, 123):    print('$\\mathit{
    {
    {0}}}$'.format(chr(i)))

for i in range(65, 91):    print('$\\mathit{
    {
    {0}}}$'.format(chr(i)))

粗体 \mathbf{}

$\mathbf{*}$

for i in range(97, 123):    print('$\\mathbf{
    {
    {0}}}$'.format(chr(i)))

for i in range(65, 91):    print('$\\mathbf{
    {
    {0}}}$'.format(chr(i)))

无衬线-f \mathsf{}

$\mathsf{*}$

for i in range(97, 123):    print('$\\mathsf{
    {
    {0}}}$'.format(chr(i)))

for i in range(65, 91):    print('$\\mathsf{
    {
    {0}}}$'.format(chr(i)))

打字机字体 \mathtt{}

$\mathtt{*}$

for i in range(97, 123):    print('$\\mathtt{
    {
    {0}}}$'.format(chr(i)))

for i in range(65, 91):    print('$\\mathtt{
    {
    {0}}}$'.format(chr(i)))

书法字体 \mathcal{}

$\mathcal{*}$

for i in range(65, 91):    print('$\\mathcal{
    {
    {0}}}$'.format(chr(i)))

注:小写字母貌似没有

黑板粗体 \mathbb{} \usepackage{amssymb}

$\mathbb{*}$

for i in range(65, 91):    print('$\\mathbb{
    {
    {0}}}$'.format(chr(i)))

注: 小写字母貌似没有

德文尖角体 \mathfrak{} \usepackage{amssymb}

$\mathfrak{*}$

for i in range(97, 123):    print('$\\mathfrak{
    {
    {0}}}$'.format(chr(i)))

for i in range(65, 91):    print('$\\mathfrak{
    {
    {0}}}$'.format(chr(i)))

花体 \mathscr{} \usepackage{mathrsfs}

$\mathscr{}$

for i in range(65, 91):    print('$\\mathscr{
    {
    {0}}}$'.format(chr(i)))

注:小写貌似没有

数学符号表（摘自《140分钟学会LaTex》）

数学模式重音符号（头顶上的那玩意）

希腊字母

二元关系

$\not\in$

\(\not\in\)

二元运算符

“大”运算符

箭头

定界符

大定界符

其他符号(AMS的符号就不贴了)

一些数学公式写法的例子

$\mathbf{Var}[(CR)_{ij}] = \mathop{\sum}\limits_{t=1}^{c}\mathbf{Var}[X_t]=\mathop{\sum}\limits_{k=1}^{n}\frac{A_{ik}^{2}B_{kj}^{2}}{cp_k}-\frac{1}{c}(AB)_{ij}^2$

\(\mathbf{Var}[(CR)_{ij}] = \mathop{\sum}\limits_{t=1}^{c}\mathbf{Var}[X_t] =\mathop{\sum}\limits_{k=1}^{n}\frac{A_{ik}^{2}B_{kj}^{2}}{cp_k} -\frac{1}{c}(AB)_{ij}^2\)

\begin{displaymath}    \begin{array}{ll}        \min & E[\|AB-CR\|_F^2]\\        s.t. & \mathop{\sum}\limits_{i=1}^{n}p_i = 1    \end{array}\end{displaymath}

\[ \begin{array}{ll} \min & E[\|AB-CR\|_F^2]\\ s.t. & \mathop{\sum}\limits_{i=1}^{n}p_i = 1 \end{array} \]

\[ #\usepackage{amssymb, amsmath}\begin{split}x_k = & x_{k-1} + \gamma_k[A_kx_{k-1}-(x_{k-1}^{\top}A_kx_{k-1})x_{k-1}]\\=& x_{k-1} + \gamma_k[Ax_{k-1}-(x_{k-1}^{\mathrm{T}}Ax_{k-1})x_{k-1}]\\&+\gamma_k[(A_k-A)x_{k-1}-(x_{k-1}^{\top}(A_k-A)x_{k-1})x_{k-1}\end{split}\]

\begin{equation} \label{eq:1}    \frac{\mathrm{d}\|z\|_2^{2}}{\mathrm{d}t} = 2z\frac{\mathrm{d}z}{\mathrm{d}t} = 0\end{equation}#\ref{eq:1}引用

$\underbrace{a+b+\cdots+z}_{26}$

\(\underbrace{a+b+\cdots+z}_{26}\)

\begin{displaymath} \mathbf{X} =\left( \begin{array}{ccc} x_{11} & x_{12} & \ldots \\ x_{21} & x_{22} & \ldots \\  \vdots & \vdots & \ddots \end{array} \right) \end{displaymath}

\begin{displaymath} y = \left\{ \begin{array}{ll} a & \textrm{if $d>c$}\\ b+x & \textrm{in the morning}\\ l & \textrm{all day long} \end{array} \right. \end{displaymath}

\[ y = \left\{ \begin{array}{ll} a & \textrm{if $d>c$}\\ b+x & \textrm{in the morning}\\ l & \textrm{all day long} \end{array} \right. \]

\begin{displaymath} \left(\begin{array}{c|c} 1 & 2 \\ \hline 3 & 4 \end{array}\right) \end{displaymath}

\[ \left(\begin{array}{c|c} 1 & 2 \\ \hline 3 & 4 \end{array}\right) \]

\begin{displaymath} {}^{12}_{\phantom{1}6}\textrm{C} \qquad \textrm{versus} \qquad {}^{12}_{6}\textrm{C} \end{displaymath}

\[ {}^{12}_{\phantom{1}6}\textrm{C} \qquad \textrm{versus} \qquad {}^{12}_{6}\textrm{C} \]

\begin{displaymath}\frac{\mathrm{d}f}{\mathrm{d}\theta}=\mathrm{(\cos \theta, -\sin \theta)}\left(\begin{array}{cc}    \mathrm{x_1^T}\\    \mathrm{x_2^T}\end{array} \right)\mathrm{A}\mathrm{(x_1, x_2)}\left(\begin{array}{cc}\sin \theta\\\cos \theta\end{array} \right)\end{displaymath}