Mathematical symbols dictionary
  
  
   
    –  
                identically equal,
   
  
 
  
  –  approximately
                  equal,
 
~ – approximately,
0.(12345) – the repeating decimal with the period 12345,
N – the set of natural numbers,
Z – the set of whole numbers (integers),
R – the set of real numbers,
  
  –  an empty set,
 
  
  –  an
                  infinity sign,
 
  
  –  an
                  element
  
   x
  
  belongs to a set
  
   
    X
   
  
  ,
 
  
   
  
  
  
  
   –  
                an element
   
    x
   
   doesn't belong to a set
   
    
     X
    
   
   ,
  
 
   
    
     X
     
     Y
    
   
   –  a set
   
    
     X
    
   
   is a subset 
                of a set
   
    
     Y
    
   
   ,
  
   
    
     
    
   
   –  a
                  union of sets
   
    
     X
    
   
   and
   
    
     Y
    
   
   ,
  
   
    
     
    
   
   –  an
                  intersection of sets
   
    
     X
    
   
   and
   
    
     Y
    
   
   ,
  
X \ Y – a symmetric difference of sets X and Y ,
{ u n } – a sequence with a general term u n ,
[ a , b ] – a numerical segment,
   
   –  numerical
                  semi-segments (semi-intervals),
  
( a , b ) – a numerical interval,
   
   –  a
                  scalar product of vectors
   
    
     
    
   
   ,
  
   
   –  a
                  vector product of vectors
   
    
     
    
   
   ,
  
==> – it follows,
<=> – equivalent,
   
   –  perpendicular,
  
   
   –  parallel,
  
   
   –  a
                  triangle
   
    ABC,
   
  
   
   –  a
                  function and its derivative.