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Bijection




<mathematics> 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.



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bignum
bigot
Big Red Switch
Big Room
big win
aleph 0
bijection
cardinality
enumeration
infinite
Bill Gates
Bill Joy
binaries
binary
binary coded decimal


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