f 
   g 

]]>

$f\circ g$

  
   f 
   g 
   h 

]]>

$f\circ g\circ h$

  
     f 
     g 
  
   x 

]]>

$(f\circ g)(x)$

   f 
  
     g 
     x 
  

]]>

$f(g(x))$

  
  
     f 
    
       f 
    
  
  

]]>

$f\circ f^{(-1)}=\mathrm{id}$

  
  
     f 
  
  

]]>

$\mathop{\mathrm{domain}}(f)=\mathbb{R}$

  
   x 


  
       x 
       x   0 
  
  
       0 
       x   0 
  
  
       x 
       x   0 
  


]]>

$\left|x\right|=\begin{cases}-x & \text{if $x< 0$}\\ 0 & \text{if $x=0$}\\ x & \text{if $x> 0$}\end{cases}$

  
   a 
   b 

]]>

$\frac{a}{b}$

  
   x 
   3 


]]>

$x^3$

  
   a 
   b 

]]>

$ab$

  
   1 
   2 

]]>

$1\times 2$

  
   1 
   2 
  
  
   1 
   2 
 
   3 

]]>

$1\times 2(1+2)\times 3$

  
   1 
   2 
  
  
   1 
   2 
 
   3 

]]>

$1+2+1\times 2+3$

  
  
   111 
   x 
 
  
  
   222 
  
   x 
   y 
 
  
   333 
   x 

  
   -444 
   x 

  
   555
   x 


]]>

$111x-222xy+333x-444x+555x$

  
   a 

]]>

$\sqrt{a}$

  
   n 
   a 

]]>

$\sqrt[n]{a}$

  
   a 

]]>

$\neg a$

  
   A 
   B 

]]>

$A\implies B$

  
   x 
  
    
       x  x 
    
    0
  

]]>

$\forall x\colon x-x=0$

  
   p 
   q 
  
    
       p 
       q 
       p  q 
    
  
  
       p 
      
          
         q 
         2 
      
  

]]>

$\forall p, q, p\in \mathbb{Q}\land q\in \mathbb{Q}\land (p< q)\colon p< q^2$

  
   n 
  
    
       n  0 
       n 
    
  
  
    
     x 
     y 
     z 
    
      
         x 
         y 
         z 
      
    
    
      
      
        
         x  n 
         y  n 
      
       z  n 
    
  

]]>

$\forall n, (n> 0)\land n\in \mathbb{Z}\colon \exists x, y, z, x\in \mathbb{Z}\land y\in \mathbb{Z}\land z\in \mathbb{Z}\colon x^n+y^n=z^n$

  
   x 

]]>

$\left|x\right|$

  
  
    
     x 
    
       i
       y 
    
  

]]>

$\overline{x+iy}$

  
  
     x 
    
       i 
       y 
    
  

]]>

$\mathop{\arg }(x+iy)$

  
  
     x 
    
       i 
       y 
    
  

]]>

$\Re (x+iy)$

  
  
     x 
    
       i 
       y 
    
  

]]>

$\Im (x+iy)$

  
  
     x 
  
  
     0 
  
  
     a 
  
  
     f 
     x 
  

]]>

$\int_0^a f(x)\,d x$

  
  
     x 
  
  
     a 
     b 
  
  
     x 
  

]]>

$\int_a^b \cos x\,d x$

  
  
     x 
  
  
    
       x 
       D 
    
  
   f 
     x 
  

]]>

$\int_{x\in D} f(x)\,d x$

  
   f 

]]>

$f^\prime$

  
  
     x 
  
   f 
     x 
  

]]>

$\frac{d f(x)}{d x}$

  
  
     x 
    
       2 
    
  
  f
     x 
  

]]>

$\frac{d^{2}f(x)}{dx^2}$

  x  m 
  y  n 
  k 
  f 
   x 
   y 
 

]]>

$\frac{\partial^{k}f(x, y)}{\partial x^m\partial y^n}$

  x 
  y 
  f 
   x 
   y 
 

]]>

$\frac{\partial^{2}f(x, y)}{\partial x\partial y}$

  x 2
  y 
  f 
   x 
   y 
 

]]>

$\frac{\partial^{3}f(x, y)}{\partial x^2\partial y}$

  x a
  y 
  f 
   x 
   y 
 

]]>

$\frac{\partial^{a+1}f(x, y)}{\partial x^a\partial y}$

113
f

]]>

$D_{1, 1, 3}f$

  
  
    2
    x
  
  y
  x
  4
  f

]]>

$\frac{\partial^{4}f}{\partial x^2\partial y\partial x}$

  
  
     x 
    
       n 
    
  
  
     y 
    
       m 
    
  
  
     
       x 
       y 
    
  

]]>

$\frac{\partial^{n+m}\sin (xy)}{\partial x^n\partial y^m}$

  
   f

]]>

$\mathop{\mathrm{grad}}(f)$

  
  
     f 
  
  
    
    
       f 
    
  

]]>

$\nabla^2 (f)=\mathop{\mathrm{div}}(\mathop{\mathrm{grad}}(f))$

   b 
   a 
   c 

]]>

$\{b, a, c\}$

   x 
  
    
      
         x 
         5 
      
      
         x 
        
      
    
  
   x 

]]>

$\{x\colon (x< 5)\land x\in \mathbb{N}\}$

   a 
   b 
   c 

]]>

$\left[a, b, c\right]$

   x 
  
    
       x 
       5 
    
  
   x 

]]>

$\left[x\colon x< 5\right]$

  
   A 
   B 

]]>

$A\cup B$

  
   A 
   B 

]]>

$A\cap B$

  
   a 
   A 

]]>

$a\notin A$

  
   A 
   B 

]]>

$A\subseteq B$

  
   A 
   B 

]]>

$A\subset B$

  
   A 
   B 

]]>

$A\nsubseteq B$

  
   A 
   B 

]]>

$A\not\subset B$

  
   A 
   B 

]]>

$A\setminus B$

  
     A 
     B 
  
]]>

$A\times B$

  
    
    
    
  
]]>

$\mathbb{R}^3$

  
  
     x 
  
  
     a 
  
  
     b 
  
   f 
     x 
  

]]>

$\sum_{x=a}^b f(x)$

  
  
     x 
  
  
     
       x 
       B 
    
  
   f 
     x 
  

]]>

$\sum_{x\in B} f(x)$

  
  
     x 
  
  
     a 
  
  
     b 
  
   f 
     x 
  

]]>

$\prod_{x=a}^b f(x)$

  
  
     x 
  
  
     
       x 
       B 
    
  
   f 
     x 
  

]]>

$\prod_{x\in B} f(x)$

  
  
     x 
  
  
     0 
  
  
     x 
  

]]>

$\lim_{x\to 0}\sin x$

  
  
     x 
  
  
    
      
       x 
       a 
    
  
  
      x 
  

]]>

$\lim_{x\searrow a}\sin x$

  
   x 

]]>

$\sin x$

  
  
    
    
       x 
    
    
      
       x 
       3 
    
  

]]>

$\sin (\cos x+x^3)$

  
   x 

]]>

$e^x$

  
  
     3 
  
   x 

]]>

$\log_{3}x$

  
   X 

]]>

$\langle X\rangle$

  
   X 

]]>

$\sigma (X)$

  
   X 

]]>

$\sigma(X)^2$

  
  
     3 
  
  
     p 
  
   X 

]]>

$\langle X^3\rangle_p$

   1 
   2 
   3 
   x 

]]>

$\left(\begin{array}{c}1\\ 2\\ 3\\ x\end{array}\right)$

  
     0   1   0 
  
  
     0   0   1 
  
  
     1   0   0 
  

]]>

$\begin{pmatrix}0 & 1 & 0\\ 0 & 0 & 1\\ 1 & 0 & 0\end{pmatrix}$

  
   A 

]]>

$\det A$

  

  
     0   1   0 
  
  
     0   0   1 
  
  
     1   0   0 
  


]]>

$\begin{vmatrix}0 & 1 & 0\\ 0 & 0 & 1\\ 1 & 0 & 0\end{vmatrix}$

  
   A 

]]>

$A^T$

  
   A 
   3 
   2 

]]>

$A_{3, 2}$

  
  
     A 
     B 
  
  
     a 
     b 
    
       θ 
    
     N 
  

]]>

$A\times B=ab\sin \theta N$

  
  
     A 
    B 
  
  
     a 
     b 
    
        θ 
    
  

]]>

$A\cdot B=ab\cos \theta$

  
    
    
      
       x 
    
     5 
  
  
    sin(x) + 5
  
  
   
     5
     +
     sinx
   
  
  
    Sin[x] + 5
  
  
    \sin x + 5
  
  
    
	  
	  5
    
  

]]>

$\sin x + 5$

   
     5
     +
     sinx
   
  
    sin(x) + 5
  
  
  
    
    
      
       x 
    
     5 
  
  
  
    Sin[x] + 5
  
  
    \sin x + 5
  
  
    
	  
	  5
    
  

]]>

$\sin x + 5$

  
   42 
  

]]>

$42\in \mathbb{Z}$

  
  1729
  

]]>

$17+29i\in \mathbb{C}$

 
  
    
    
    P
  
  

]]>

$\mbox{true}\lor P=\mbox{true}$

  
    
    
    
  
]]>

$\mathbb{Z}\neq \emptyset$

    
    
    227
  
]]>

$\pi \approx 22/7$

]]>

$\gamma$

]]>

$\infty$