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## bijection |

1 definition found From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: bijectionA {function} is bijective or a bijection or a one-to-one correspondence if it is both {injective} (no two values map to the same value) and {surjective} (for every element of the {codomain} there is some element of the {domain} which maps to it). I.e. there is exactly one element of the domain which maps to each element of the codomain. Only bijective functions have inverses f' where f(f'(x)) = f'(f(x)) = x. See also {injection}, {surjection}, {isomorphism}. (1999-08-29)