Set Theory - Bijection function (One-to-one relationship)

About

A Bijection is a mathematical / set function between the elements of two sets (ie binary function) where

  • each element of one set is paired with exactly one element of the other set,
  • each element of the other set is paired with exactly one element of the first set.
  • there are no unpaired elements

This function is also known as:

Example

  • A bijection (Ref

  • Not a bijection

Properties

A function f: R → R is bijective if and only if its graph meets every horizontal and vertical line exactly once.

Documentation / Reference


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