(完整word版)LATEX-数学公式总结

SUNLEYFORWARD数学公式小结请运行以下程序：\documentclass[11pt]{article}\usepackage{CJK}\usepackage{indentfirst}\usepackage{latexsym}\usepackage{bm}\usepackage{amsmath,amssymb,amsfonts}\usepackage{wasysym}\usepackage{xcolor}\usepackage{cases}%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%重定义字体、字号命令%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\newcommand{\song}{\CJKfamily{song}}%宋体(Windows自带simsun.ttf)\newcommand{\fs}{\CJKfamily{fs}}%仿宋体(Windows自带simfs.ttf)\newcommand{\kai}{\CJKfamily{kai}}%楷体(Windows自带simkai.ttf)\newcommand{\hei}{\CJKfamily{hei}}%黑体(Windows自带simhei.ttf)\newcommand{\li}{\CJKfamily{li}}%隶书(Windows自带simli.ttf)\newcommand{\you}{\CJKfamily{you}}%幼圆(Windows自带simyou.ttf)\newcommand{\chuhao}{\fontsize{42pt}{\baselineskip}\selectfont}%字号设置\newcommand{\xiaochuhao}{\fontsize{36pt}{\baselineskip}\selectfont}%字号设置\newcommand{\yichu}{\fontsize{32pt}{\baselineskip}\selectfont}%字号设置\newcommand{\yihao}{\fontsize{28pt}{\baselineskip}\selectfont}%字号设置\newcommand{\erhao}{\fontsize{21pt}{\baselineskip}\selectfont}%字号设置\newcommand{\xiaoerhao}{\fontsize{18pt}{\baselineskip}\selectfont}%字号设置\newcommand{\sanhao}{\fontsize{15.75pt}{\baselineskip}\selectfont}%字号设置\newcommand{\xiaosanhao}{\fontsize{15pt}{\baselineskip}\selectfont}%字号设置\newcommand{\sihao}{\fontsize{14pt}{\baselineskip}\selectfont}%字号设置\newcommand{\xiaosihao}{\fontsize{12pt}{\baselineskip}\selectfont}%字号设置\newcommand{\wuhao}{\fontsize{10.5pt}{\baselineskip}\selectfont}%字号设置\newcommand{\xiaowuhao}{\fontsize{9pt}{\baselineskip}\selectfont}%字号设置\newcommand{\liuhao}{\fontsize{7.875pt}{\baselineskip}\selectfont}%字号设置\newcommand{\qihao}{\fontsize{5.25pt}{\baselineskip}\selectfont}%字号设置%%%%%%%%%END%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SUNLEYFORWARD\renewcommand{\baselinestretch}{1.3}\begin{document}\begin{CJK*}{GBK}{song}\CJKtilde\CJKindent{\hei\sanhao数学公式举例:}\bigskip\section{概述}数学模式中的普通文本必须放入一个~LR盒子里.如:$x^2+\sin(x)=0isanonlinearequation$.$x^2+\sin(x)=0\mbox{isanonlinearequation}$.$x^2+\sin(x)=0\mbox{是一个非线性方程}$.\section{行内公式}勾股定理~\begin{math}a^2+b^2=c^2\end{math}~也称商高定理.勾股定理~\(a^2+b^2=c^2\)~也称商高定理.勾股定理~$a^2+b^2=c^2$~也称商高定理.\section{行间公式}\subsection{单行公式}\begin{displaymath}a^2+b^2=c^2.\end{displaymath}\[a^2+b^2=c^2.\]\begin{equation}a^2+b^2=c^2.\end{equation}$$a^2+b^2=c^2.\eqno(*)$$SUNLEYFORWARD$$a^2+b^2=c^2.\eqno(4a)$$\begin{equation}\label{eq:square}x^2+y^2=R^2.\end{equation}公式~\ref{eq:square}~表示的是一个圆的标准方程.\setcounter{equation}{5}\begin{equation}\label{lap}-\triangleu(x,y)=f(x,y),\quad(x,y)\in\Omega.\end{equation}方程~\eqref{lap}~则是一个椭圆型的偏微分方程.\subsection{多行公式}\begin{eqnarray*}x^2+y^2=R^2\\2x+3y=b\end{eqnarray*}\begin{eqnarray}x^2+y^2&=&R^2\\2x+3y&=&b\end{eqnarray}\setlength{\arraycolsep}{2.5pt}\setcounter{equation}{1}\begin{eqnarray}d(uv)&=&(uv)'dx\\&=&(u'v+uv')dx\\&=&v(u'dx)+u(v'dx)\nonumber\\\setcounter{equation}{5}&=&vdu+udv\label{leibniz}\end{eqnarray}这样就得到了公式~(\ref{leibniz}).\section{角标:上标与下标}注意:这里的角标命令必须在数学模式下使用!!$$SUNLEYFORWARDx_1,\quadx_{11},\quadx_{11}^{22},\quadx_{m}^{(k)},\quad{}^*x^*,\quadx^{m^n},\quad{x^x}^{x^x}$$中文角标:\qquad$x^{\mbox{\scriptsize平方}},\quadx^{y^{\mbox{\tiny平方}}}$导数符号:\qquad$f^{\prime}\quad\mbox{或者}\quadf'$\section{分式}出现在行内的分式:$(x+y)/2$和~$\frac{x+y}{2}$,第二个分式用的是一级角标字体.分式中的分式:$\frac{\frac{x}{x+y}}{x+y+z}$,字体会更小,但最小为二级角标字体.行间公式$$\frac{x+y}{2},\qquad\frac{\frac{x}{x+y}}{x+y+z}$$\section{根式}$\sqrt{x},\quad\sqrt{1+\sqrt{2}}$$\surd{x},\quad\surd{1+\sqrt{2}}$当被开方式字符高度不同时,根号线会在不同水平线上,如:$\sqrt{a},\sqrt{b}$.解决办法:加入{\hei数学支柱}~\textbackslash{}mathstrut\footnote{宽度为~0,高度与圆括号相同},例:$\sqrt{a},\sqrt{b},\quad\sqrt{a\mathstrut},\sqrt{b\mathstrut}$.\section{求和与积分}\newcommand{\dx}{\mathrm{d}\,x}$$SUNLEYFORWARD\int_a^bf(x)\mathrm{d}x,\quad\oint_a^bf(x)\mathrm{d}x,\quad$$$$\int\limits_a^bf(x)\mathrm{d}x,\quad\oint\limits_a^bf(x)\mathrm{d}x,\quad$$直立的积分号:$$\varint_a^bf(x)\dx,\quad\iint_a^bf(x)\dx,\quad\iiint_a^bf(x)\dx,\quad\varoint_a^bf(x)\dx,\quad\oiint_a^bf(x)\dx,\quad$$$$\varint\nolimits_a^bf(x)\dx,\quad\iint\nolimits_a^bf(x)\dx,\quad\iiint\nolimits_a^bf(x)\dx,\quad\varoint\nolimits_a^bf(x)\dx,\quad\oiint\nolimits_a^bf(x)\dx,\quad$$\section{数学重音符号}\newcommand{\ml}[1]{\texttt{\textcolor{blue}{\char`\\#1}}}\renewcommand{\arraystretch}{1.2}\setlength{\tabcolsep}{6pt}\begin{tabular}{|p{0.4\textwidth}|p{0.4\textwidth}|}\hline\ml{hat}\{a\}~$\to\hat{a}$&\ml{bar}\{a\}~$\to\bar{a}$\\\ml{dot}\{a\}~$\to\dot{a}$&\ml{ddot}\{a\}~$\to\ddot{a}$\\\ml{tilde}\{a\}~$\to\tilde{a}$&\ml{vec}\{a\}~$\to\vec{a}$\\\ml{breve}\{a\}~$\to\breve{a}$&\ml{check}\{a\}~$\to\check{a}$\\\ml{acute}\{a\}~$\to\acute{a}$&\ml{grave}\{a\}~$\to\grave{a}$\\\ml{mathring}\{a\}~$\to\mathring{a}$&\\\hline\end{tabular}\bigskip加宽的帽子和波浪号:$\widehat{hello},\quad\widetilde{good}$SUNLEYFORWARD\section{上划线、下划线及类似符号}$$\overline{\overline{a}^2+\underline{ab}+\bar{b}^2}$$\bigskip$$\underbrace{a+\overbrace{b+\dots+b}^{m\mbox{\scriptsize个}}+c}_{20\mbox{\scriptsize个}}$$\section{堆积符号}$$\vec{x}\stackrel{\mathrm{def}}{=}(x_1,\ldots,x_n)$$\sectio