LaTex语法笔记

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上标命令：^{}
下标命令：_{}

如果角标为单个字符，可以不使用花括号；否则必须使用花括号。

分式命令：\frac{分子}{分母}

根式:
二次根式命令：\sqrt{表达式}
N次根式命令：\sqrt[n]{表达式}
求和命令：\sum_{k=1}^nf(x)
求和位置：右上和右下标正常表示，在求和符号下端和上端用\limits

\sum _k^m


     ∑
    
    
     k
    
   
  
  
   \sum_k
  
 
</span><span class="katex-html"><span class="base"><span class="strut" style="height: 1.04971em; vertical-align: -0.29971em;"></span><span class="mop"><span class="mop op-symbol small-op" style="position: relative; top: -5e-06em;">∑</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.186398em;"><span class="" style="top: -2.40029em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight" style="margin-right: 0.03148em;">k</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.29971em;"><span class=""></span></span></span></span></span></span></span></span></span></span></p> 

\sum \limits _k^m


     ∑
    
    
     k
    
    
     m
    
   
  
  
   \sum \limits _k^m
  
 
</span><span class="katex-html"><span class="base"><span class="strut" style="height: 2.35351em; vertical-align: -1.00211em;"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.3514em;"><span class="" style="top: -2.09789em; margin-left: 0em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight" style="margin-right: 0.03148em;">k</span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class=""><span class="mop op-symbol small-op">∑</span></span></span><span class="" style="top: -3.95em; margin-left: 0em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight">m</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 1.00211em;"><span class=""></span></span></span></span></span></span></span></span></span></p>

积分命令：\int_a^bf(x)
上划线命令： \overline{公式}
下划线命令：\underline{公式}
上花括弧命令：\overbrace{公式}{说明}
下花括弧命令：\underbrace{公式}_{说明}
帽子符号\hat{a} \check{a} \breve{a} \tilde{a} \bar{a} \vec{a} \acute{a} \grave{a} \mathring{a} \dot{a} \ddot{a}

矩阵

$$
  \begin{matrix}
   1 & 2 & 3 \\
   4 & 5 & 6 \\
   7 & 8 & 9
  \end{matrix} \tag{1}
$$

带花括号矩阵

$$
 \left\{
 \begin{matrix}
   1 & 2 & 3 \\
   4 & 5 & 6 \\
   7 & 8 & 9
  \end{matrix}
  \right\} \tag{2}
$$

带中括号的矩阵

$$
 \left[
 \begin{matrix}
   1 & 2 & 3 \\
   4 & 5 & 6 \\
   7 & 8 & 9
  \end{matrix}
  \right] \tag{3}
$$

简约写法：
中括号

$$
 \begin{bmatrix}
   1 & 2 & 3 \\
   4 & 5 & 6 \\
   7 & 8 & 9
  \end{bmatrix} 
$$

花括号

$$
 \begin{Bmatrix}
   1 & 2 & 3 \\
   4 & 5 & 6 \\
   7 & 8 & 9
  \end{Bmatrix} \tag{5}
$$

tag（）是右侧公式代号

带省略号矩阵

\cdots ⋯
\ddots ⋱
\vdots ⋮

$$
\left[
\begin{matrix}
 1      & 2      & \cdots & 4      \\
 7      & 6      & \cdots & 5      \\
 \vdots & \vdots & \ddots & \vdots \\
 8      & 9      & \cdots & 0      \\
\end{matrix}
\right]
$$`

结果：

     [
    
    
     
      
       
        
         1
        
       
      
      
       
        
         2
        
       
      
      
       
        
         ⋯
        
       
      
      
       
        
         4
        
       
      
     
     
      
       
        
         7
        
       
      
      
       
        
         6
        
       
      
      
       
        
         ⋯
        
       
      
      
       
        
         5
        
       
      
     
     
      
       
        
         ⋮
        
        
         
        
       
      
      
       
        
         ⋮
        
        
         
        
       
      
      
       
        
         ⋱
        
       
      
      
       
        
         ⋮
        
        
         
        
       
      
     
     
      
       
        
         8
        
       
      
      
       
        
         9
        
       
      
      
       
        
         ⋯
        
       
      
      
       
        
         0
        
       
      
     
    
    
     ]
    
   
   
     \left[ \begin{matrix} 1 &amp; 2 &amp; \cdots &amp; 4 \\ 7 &amp; 6 &amp; \cdots &amp; 5 \\ \vdots &amp; \vdots &amp; \ddots &amp; \vdots \\ 8 &amp; 9 &amp; \cdots &amp; 0 \\ \end{matrix} \right] 
   
  
 </span><span class="katex-html"><span class="base"><span class="strut" style="height: 5.46em; vertical-align: -2.48em;"></span><span class="minner"><span class="mopen"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 2.95301em;"><span class="" style="top: -1.34999em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎣</span></span></span><span class="" style="top: -2.50499em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎢</span></span></span><span class="" style="top: -3.10599em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎢</span></span></span><span class="" style="top: -3.70699em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎢</span></span></span><span class="" style="top: -4.95301em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎡</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 2.45003em;"><span class=""></span></span></span></span></span></span><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 2.98em;"><span class="" style="top: -5.8275em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">1</span></span></span><span class="" style="top: -4.6275em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">7</span></span></span><span class="" style="top: -2.7675em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord"><span class="mord">⋮</span><span class="mord rule" style="border-right-width: 0em; border-top-width: 1.5em; bottom: 0em;"></span></span></span></span><span class="" style="top: -1.5675em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">8</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 2.48em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 2.98em;"><span class="" style="top: -5.8275em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">2</span></span></span><span class="" style="top: -4.6275em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">6</span></span></span><span class="" style="top: -2.7675em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord"><span class="mord">⋮</span><span class="mord rule" style="border-right-width: 0em; border-top-width: 1.5em; bottom: 0em;"></span></span></span></span><span class="" style="top: -1.5675em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">9</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 2.48em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 2.98em;"><span class="" style="top: -5.64em;"><span class="pstrut" style="height: 3.5em;"></span><span class="mord"><span class="minner">⋯</span></span></span><span class="" style="top: -4.44em;"><span class="pstrut" style="height: 3.5em;"></span><span class="mord"><span class="minner">⋯</span></span></span><span class="" style="top: -2.58em;"><span class="pstrut" style="height: 3.5em;"></span><span class="mord"><span class="minner">⋱</span></span></span><span class="" style="top: -1.38em;"><span class="pstrut" style="height: 3.5em;"></span><span class="mord"><span class="minner">⋯</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 2.48em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 2.98em;"><span class="" style="top: -5.8275em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">4</span></span></span><span class="" style="top: -4.6275em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">5</span></span></span><span class="" style="top: -2.7675em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord"><span class="mord">⋮</span><span class="mord rule" style="border-right-width: 0em; border-top-width: 1.5em; bottom: 0em;"></span></span></span></span><span class="" style="top: -1.5675em;"><span class="pstrut" style="height: 3.6875em;"></span><span class="mord"><span class="mord">0</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 2.48em;"><span class=""></span></span></span></span></span></span></span><span class="mclose"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 2.95301em;"><span class="" style="top: -1.34999em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎦</span></span></span><span class="" style="top: -2.50499em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎥</span></span></span><span class="" style="top: -3.10599em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎥</span></span></span><span class="" style="top: -3.70699em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎥</span></span></span><span class="" style="top: -4.95301em;"><span class="pstrut" style="height: 3.155em;"></span><span class="delimsizinginner delim-size4"><span class="">⎤</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 2.45003em;"><span class=""></span></span></span></span></span></span></span></span></span></span></span></span></p>

增广矩阵

$$ 
\left[
    \begin{array}{cc|c}
      1 & 2 & 3 \\
      4 & 5 & 6
    \end{array}
\right] \tag{7}
$$


        [
       
       
        
         
          
           
            1
           
          
         
         
          
           
            2
           
          
         
         
          
           
            3
           
          
         
        
        
         
          
           
            4
           
          
         
         
          
           
            5
           
          
         
         
          
           
            6
           
          
         
        
       
       
        ]
       
      
     
     
     
      
       (7)
      
     
    
   
   
     \left[ \begin{array}{cc|c} 1 &amp; 2 &amp; 3 \\ 4 &amp; 5 &amp; 6 \end{array} \right] \tag{7} 
   
  
 </span><span class="katex-html"><span class="base"><span class="strut" style="height: 2.40003em; vertical-align: -0.95003em;"></span><span class="minner"><span class="mopen delimcenter" style="top: 0em;"><span class="delimsizing size3">[</span></span><span class="mord"><span class="mtable"><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord">1</span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord">2</span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord">5</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="vertical-separator" style="height: 2.4em; vertical-align: -0.95em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord">3</span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord">6</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span></span></span><span class="mclose delimcenter" style="top: 0em;"><span class="delimsizing size3">]</span></span></span></span><span class="tag"><span class="strut" style="height: 2.40003em; vertical-align: -0.95003em;"></span><span class="mord text"><span class="mord">(</span><span class="mord"><span class="mord">7</span></span><span class="mord">)</span></span></span></span></span></span></span><br> 偏导符号<br> \partial<br> 求导符号<br> \mathrm{d} x<br> 点形式的求导符号：\dot x 和 \ddot y（有几个点就用几个d）<br> 全微分算子：\nabla</p>

希腊字母

小写大写语法
ααAA\alpha
ββBB\beta
γγΓΓ\gamma
δδΔΔ\delta
ϵϵEE\epsilon
ζζZZ\zeta
ννNN\nu
ξξΞΞ\xi
οοOO\omicron
ππΠΠ\pi
ρρPP\rho
σσΣΣ\sigma
ηηHH\eta
θθΘΘ\theta
ιιII\iota
κκKK\kappa
λλΛΛ\lambda
μμMM\mu
ττTT\tau
υυΥΥ\upsilon
ϕϕΦΦ\phi
χχXX\chi
ψψΨΨ\psi
ωωΩΩ\omega
ηΗ\eta

特殊符号

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参考文章：

https://www.jianshu.com/p/8aa646fad1c5
https://blog.csdn.net/lanchunhui/article/details/49819445
https://blog.csdn.net/ying_xu/article/details/51240291

posted @ 2020-04-01 11:03  开源的Boy  阅读(360)  评论(0)    收藏  举报