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bijection 雙向單射; 雙單射 雙向單射; 雙單射 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. For a general bijection f from the set A to the set B: f'(f(a)) = a where a is in A and f(f'(b)) = b where b is in B. A and B could be disjoint sets. See also {injection}, {surjection}, {isomorphism}, {permutation}. (2001-05-10)
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