Remark

The advantage of using the infix-notation becomes obvious from the following comparison of two ways of writing the associativity law.

• For the usual notation with operation f:
  
  f(a,f(b,c)) = f(f(a,b),c);
  
  
• for the infix-notation a * b = f(a,b):
  
  a * (b * c) = (a * b) * c.