LaTex Common Grammar

1.Add head file and package

    1.\documentclass{article}
    2.\usepackage[utf8]{inputenc}
    3.\usepackage{amsmath}

2.Add title and author

    1.\title{title}
    2.\author{name}
    3.\date{Dec.2018}

    4.\date{}

3.Add document

        1.\begin{document}
           ...
          \end{document}

4.Add abstract

    1.\begin{abstract}
      ...
      \end{abstract}

    2.{\bf Abstract}

5.Add keywords or index terms

    1.{\bf keywords:}
    2.{\bf Index Terms-}

6.Add section and subsection/subsubsection

    1.\section{Introduce}
    2.\section{Related Work}
    3.\section{Proposed Method}
    4.\subsection{Algorithm1}
        4.1.\subsubsection{A}
        4.2.\subsubsection{B}
    5.\subsection{Algorithm2}

7.Add References

    1.\begin{thebibliography}{99}
      \bibitem{1}reference1
      \bibitem{2}reference2
      \end{thebibliography}

8.Add math tools

    \usepackage{amsmath}  //support package to use math tools

1.Add theorem

    1.\newtheorem{deFination}{Def.} //new the deFination
    2.\section{Related Work}
    3.\begin{deFination} 
      definate A
      \end{deFination}

with the parameter [section]:

    \newtheorem{defination}{Def.}[section]

2.Add proof

    1.\newtheorem{proof}{proof}
    2.\begin{proof}
      prooooof1
      \end{proof}
    3.{\bf proof} prooof

3.Add equation

    1.\section{Equation}
     \begin{equation} //equation has a number
         a=b+c
     \end{equation}
     \begin{equation*}
         Z = X + Y
     \end{equation*}

    2.equation reference:
    \section{Equation}
    \begin{equation}\label{e1}
    a=b+c
    \end{equation}
    And it's easy to prove that t=d because of equation(\ref{e1})

4.Fundamental Operation

    1.multiply:
    \begin{equation*}
         a = b \times b
    \end{equation*}
    2.fraction:
    \begin{equation*}
         a = b \times \frac{1}{c}
         a = b \times (\frac{1}{c}+d)
         a = b \times \left(\frac{1}{c}+d\right)
    \end{equation*}  
    3.multilines_format1：
    \section{Equation}
    \begin{gather*}
    a = b \times (\frac{1}{c}+d) \\
    a = b \times \left(\frac{1}{c}+d\right)
    \end{gather*}
    4.multilines_format2:
    \begin{equation*}
    \begin{split}
            a &= b \times (\frac{1}{c}+d) \\
            aaa &= b \times \left(\frac{1}{c}+d\right)
    \end{split}
    \end{equation*}
    % &= To align by =.

    5.multicolumns_align:
    \begin{align*}
    &a = b    
    &&c = d\\
    &e=f
    &&h=g
    \end{align*}

    6.norm:
    \left \| Q \right \|_{2,0}