为了方便对应，后面会拆一下
公式代码放入LaTeX编译环境中时，两边需要加入$$:
$$公式代码$$
1，分解示例
L^{A}T_{E}X\,2_{\epsilon}c^{2}=a^{2}+b^{2}\tau\phi\cos2\pi=1f\, =\,a^{x}\,+\,b\heartsuit\cos^{2}\theta + \sin^{2}\theta = 1.0 \cos2\theta=\sin^{2}\theta + \cos^{2}\theta = 1-2\sin^{2}\theta = 2\cos^{2}\theta -1\lim_{n \to \infty}\sum_{k=1}^{n}\frac{1}{k^2}=\frac{\pi^2}{6}
\lim_{n \to \infty}\sum_{k=1}^{n}\frac{1}{k^{2}}=\frac{\pi^{2}}{6}
\forall x \in \mathbf{R},\, x^{2}\geq 0;
x^{2}\geq0\qquad \textrm{for all } x \in \mathbb{R}alpha\,, \beta\,, \gamma\,,\Gamma\,,\xi\,,\Xi\,,\pi\,,\Pi\,,\mu\,,\phi\,,\Phi\,,\omega\,,\Omega
e^{-\alpha t}
\sum_{k=1}^{N}(a_{ik}*b_{kj})^2\sqrt{1+x^2}$ \qquad $\sqrt{x^2+\sqrt{y}}
\surd{[x^2+y^2]}\underline{x+y}\overline{x y}
\overbrace{1+2+\cdots+N}
\underbrace{1*2*\cdots*N}\widetilde{\alpha*\beta*\gamma*\delta}\widehat{a*b*c*e*f}y'=2x\vec{A}\overrightarrow{ABCD}x = A \cdot B \cdot C\arccos{\theta},\qquad \cos{2\theta},\qquad \log{y},\qquad \limsup{(x_i)}\lim_{\theta \to 0} \frac{\theta}{\sin{\theta}} = 1{3 \choose M+N}{3 \atop {M+N}}\int_{0}^{1}{f(x)}\,d x \stackrel{?}{=} yy(t)=\int f(t)\,dt\int_{-\infty}^{\infty}{\sin^x(x)} dx \ne 1z=\sum_{i=1}^{N}\left( \frac{1+{x_i}^2}{1+{y_i}^2} \right)\frac{1}{1}+\frac{1}{2} + \frac{1}{3} + \ldots \frac{1}{N}\frac{1}{1}+\frac{1}{2} + \frac{1}{3} + \cdots \frac{1}{N}\vdots_{N}^{1}$$|\!|$$
$$||$$
$$|\,|$$
$$|\:|$$
$$|\;|$$
$$|\ |$$
$$|\quad|$$
$$|\qquad|$$\int\!\!\!\int_{\Omega} f(x,y)\, dx\,dy\int\int_{\Omega} f(x,y)\,dx\,dy\iint f(x,y)\,dx dy\iiint \mu(x,y,z)\,dx dy dz\iiiint \theta(s,t,u,v)\,ds dt du dv\idotsint f(x_{1},x_{2},\cdots,x_{N})\, dx_{1} dx_{2} \cdots dx_{N}\sum_{i=1}^{N}\sum_{j=1}^{N}a_{ij}\int_{0}^{\infty}f(x)\,dx\prod_{i=0}^{N}x_{i}x \neq yy = x^{2} + {(\frac{1}{1+x^{2}})}^2y = x^{2} + {\left(\frac{1}{1+x^{2}}\right)}^2\mathbf{V} =
\left( \begin{array}{ccc}
v_{11} & v_{12} & \ldots \\
v_{21} & v_{22} & \ldots \\
\vdots & \vdots & \ddots \\
\end{array} \right)需要注意 \begin{array}{ccc} 中c的个数，代表列数，用&来分开各列，用\\来区分各行；
\mathbf{A} =
\left( \begin{array}{cccc}
a_{11} & a_{12} & \ldots & a_{1n} \\
a_{21} & a_{22} & \ldots & a_{2n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m1} & a_{m2} & \ldots & a_{mn} \\
\end{array} \right)
y = \left\{ \begin{array}{ll}
ax_{2}+bx+c & \textrm{if $x \le c$}\\
b+e^{x} & \textrm{if $b \le x < c$}\\
l & \textrm{if $x<b$}
\end{array} \right.未完待续
2，综合示例
2.1 代码
\documentclass[]{article}
\title{Maths Formula}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\maketitle
\[
L^{A}T_{E}X\,2_{\epsilon}
\]
\[
L^{A}T_{E}X\,2_{\epsilon}
\]
\LaTeXe\newline
\LaTeX\\\newline
$c^{2}=a^{2}+b^{2}$
$$c^{2}=a^{2}+b^{2}$$
$\tau$\\
$\tau\phi$
$$\pi$$
\begin{equation}
\cos2\pi=1
\end{equation}
$\cos2\pi=1$
$$\cos2\pi=1$$
\begin{equation}
f\, =\,a^{x}\,+\,b
\end{equation}
100~m$^{3}$\\
$\heartsuit$\\
a$a$a$$a$$\\
\begin{displaymath}
\cos^{2}\theta + \sin^{2}\theta = 1.0
\end{displaymath}
\begin{equation} \label{eq:eps}
\cos2\theta=\sin^{2}\theta + \cos^{2}\theta = 1-2\sin^{2}\theta = 2\cos^{2}\theta
\end{equation}
\\
\\
\\
\\
$\lim_{n \to \infty}\sum_{k=1}^{n}\frac{1}{k^2}=\frac{\pi^2}{6}$
$$\lim_{n \to \infty}\sum_{k=1}^{n}\frac{1}{k^2}=\frac{\pi^2}{6}$$
\begin{equation}
\lim_{n \to \infty}\sum_{k=1}^{n}\frac{1}{k^{2}}=\frac{\pi^{2}}{6}
\end{equation}
\begin{displaymath}
\lim_{n \to \infty}\sum_{k=1}^{n}\frac{1}{k^{2}}=\frac{\pi^{2}}{6}
\end{displaymath}
\begin{equation}
\forall x \in \mathbf{R},\, x^{2}\geq 0;
\end{equation}
\begin{displaymath}
x^{2}\geq0\qquad \textrm{for all } x \in \mathbb{R}
\end{displaymath}
$$a^x + y \neq a^{x+y}$$
$$\alpha\,, \beta\,, \gamma\,,\Gamma\,,\xi\,,\Xi\,,\pi\,,\Pi\,,\mu\,,\phi\,,\Phi\,,\omega\,,\Omega$$\\\\
$x_{3}$ $e^{-\alpha t}$\\
$x_{3}$\qquad $e^{-\alpha t}$
$$\sum_{k=1}^{N}(a_{ik}*b_{kj})^2$$\\
$\sqrt{1+x^2}$ \qquad $\sqrt{x^2+\sqrt{y}}$\\
$$\sqrt[3]{1+x^2}$$
$$\surd{[x^2+y^2]}$$\\
$$\underline{x+y}$$
$$\overline{x \and y}$$
$$\overbrace{1+2+\cdots+N}$$
$$\underbrace{1*2*\cdots*N}$$
$$\widetilde{\alpha*\beta*\gamma*\delta}$$
$$\widehat{a*b*c*e*f}$$
$$y=x^{2}$$ $$y'=2x$$ $$y''=2$$
$y=x^{2}$\qquad$y'=2x$\qquad$y''=2$
$$\vec{A}$$
$$\overrightarrow{ABCD}$$
\begin{displaymath}
x = A \cdot B \cdot C
\end{displaymath}
$$\arccos{\theta},\qquad \cos{2\theta},\qquad \log{y},\qquad \limsup{(x_i)}$$
\[
\lim_{\theta \to 0} \frac{\theta}{\sin{\theta}} = 1
\]
$${3 \choose M+N}$$
$${3 \atop {M+N}}$$
$$\int_{0}^{1}{f(x)}\,d x \stackrel{?}{=} y$$
$$y(t)=\int f(t)\,dt$$
$$\int_{-\infty}^{\infty}{\sin^x(x)} dx \ne 1$$
$$z=\sum_{i=1}^{N}\left( \frac{1+{x_i}^2}{1+{y_i}^2} \right)$$
$$\frac{1}{1}+\frac{1}{2} + \frac{1}{3} + \ldots \frac{1}{N}+$$
$$\frac{1}{1}+\frac{1}{2} + \frac{1}{3} + \cdots \frac{1}{N}+$$
$$\frac{1}{1}+\frac{1}{2} + \frac{1}{3} + \ddots \frac{1}{N}+$$
$$\vdots_{N}^{1}$$
$$|\!|$$
$$||$$
$$|\,|$$
$$|\:|$$
$$|\;|$$
$$|\ |$$
$$|\quad|$$
$$|\qquad|$$
\newcommand{\ud}{\matchrm{d}}
\begin{displaymath}
\int\!\!\!\int_{\Omega} f(x,y)\, dx\,dy
\end{displaymath}
$$\int\int_{\Omega} f(x,y)\,dx\,dy$$
$$\iint f(x,y)\,dx dy$$
$$\iiint \mu(x,y,z)\,dx dy dz$$
$$\iiiint \theta(s,t,u,v)\,ds dt du dv$$
$$\idotsint f(x_{1},x_{2},\cdots,x_{N})\, dx_{1} dx_{2} \cdots dx_{N}$$
$$\sum_{i=1}^{N}\sum_{j=1}^{N}a_{ij}$$
$$\int_{0}^{\infty}f(x)\,dx$$
$$\prod_{i=0}^{N}x_{i}$$
$$x \neq y$$
$$y = x^{2} + {(\frac{1}{1+x^{2}})}^2$$
$$y = x^{2} + {\left(\frac{1}{1+x^{2}}\right)}^2$$
\begin{displaymath}
\mathbf{V} =
\left( \begin{array}{ccc}
v_{11} & v_{12} & \ldots \\
v_{21} & v_{22} & \ldots \\
\vdots & \vdots & \ddots \\
\end{array} \right)
\end{displaymath}
\begin{displaymath}
\mathbf{A} =
\left( \begin{array}{cccc}
a_{11} & a_{12} & \ldots & a_{1n} \\
a_{21} & a_{22} & \ldots & a_{2n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m1} & a_{m2} & \ldots & a_{mn} \\
\end{array} \right)
\end{displaymath}
\begin{displaymath}
y = \left\{ \begin{array}{ll}
ax_{2}+bx+c & \textrm{if $x \le c$}\\
b+e^{x} & \textrm{if $b \le x < c$}\\
l & \textrm{if $x<b$}
\end{array} \right.
\end{displaymath}
\end{document}2.2 效果
