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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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单词	字典	翻译
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〕
bijection	查看　bijection　在Yahoo字典中的解释	Yahoo英翻中〔查看〕

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英文字典中文字典相关资料:

Injective, Surjective and Bijective - Math is Fun
Bijective means both Injective and Surjective together Think of it as a "perfect pairing" between the sets: every one has a partner and no one is left out So there is a perfect " one-to-one correspondence " between the members of the sets (But don't get that confused with the term "One-to-One" used to mean injective)
Bijection (How To Prove w 9 Step-by-Step Examples!) - Calcworkshop
A bijection, also known as a one-to-one correspondence, is when each output has exactly one preimage In other words, each element in one set is paired with exactly one element of the other set and vice versa

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