example 1.

\documentclass{article}

\title{Title of my document}
\date{2013-09-01}
\author{John Doe}

\begin{document}

\maketitle
\pagenumbering{gobble}
\newpage
\pagenumbering{arabic}

\section{Section}
Hello World!
\subsection{Subsection}

Structuring a document is easy!

\end{document}

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2. usepackage

\documentclass{article}

\begin{document}

\begin{equation}
  f(x) = x^2
\end{equation}

\end{document}

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3.math
学习Latex中如何排版和对齐等式、矩阵和分式，基础的数学特征的概览
package amsmath:常用的数学包

\documentclass{article}

\usepackage{amsmath}

\begin{document}

\begin{equation*}
  1 + 2 = 3 
\end{equation*}

\begin{equation*}
  1 = 3 - 2
\end{equation*}

\begin{align*}
  1 + 2 &= 3\\
  1 &= 3 - 2
\end{align*}

\end{document}

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\frac{分子}{分母}\（换行符）
\int^a_b 积分号，a为上界，b为下界
\sqrt{x} 更号下x

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\begin{matrix}
1 &(元素之间用&连接) 0\(换行符)
0 & 1
\end{matrix}

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一切格式化的东西需要用align标签include

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\left( ... \right) 括号包被

4. image insertion[pass]
   https://www.latex-tutorial.com/tutorials/beginners/latex-figures/
5. draw a graph

\documentclass[11pt]{scrartcl}
\usepackage{tkz-berge}


\begin{document}
\begin{tikzpicture}[scale=.5] 
\GraphInit[vstyle=Art] 
\SetGraphArtColor{red}{olive} 
\grPetersen[form=1,RA=5,RB=3]%
\end{tikzpicture}
\begin{tikzpicture}[scale=.4]
   \GraphInit[vstyle=Art] 
   \SetGraphArtColor{red}{olive} 
   \grPetersen[form=2,RA=7,RB=3]%
\end{tikzpicture}

\begin{tikzpicture}[scale=.5]
   \GraphInit[vstyle=Art] 
   \SetGraphArtColor{red}{olive} 
   \grPetersen[form=3,RA=7]%
\end{tikzpicture}
\end{document}

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