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bijection

双向单射; 双单射

The Free On-line Dictionary of Computing (foldoc)

A {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.

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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bijection	查看　bijection　在百度字典中的解释	百度英翻中〔查看〕
bijection	查看　bijection　在Google字典中的解释	Google英翻中〔查看〕
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