BIJECTION
\ba͡ɪd͡ʒˈɛkʃən], \baɪdʒˈɛkʃən], \b_aɪ_dʒ_ˈɛ_k_ʃ_ə_n]\
Sort: Oldest first
-
A function is bijective or a bijection or aone-to-one correspondence if it is both injective (no twovalues map to the same value) and surjective (for everyelement of the codomain there is some element of thedomain which maps to it). I.e. there is exactly one elementof 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.
By Denis Howe
Word of the day
basidiomycota
- comprises fungi bearing the spores on basidium: Gasteromycetes (puffballs); Tiliomycetes (comprising orders Ustilaginales (smuts) and Uredinales (rusts)); Hymenomycetes (mushrooms; toadstools; agarics; bracket fungi); in some classification systems considered a division of kingdom comprises fungi bearing spores on a basidium; includes Gasteromycetes (puffballs) Tiliomycetes comprising the orders Ustilaginales (smuts) and Uredinales (rusts) Hymenomycetes (mushrooms, toadstools, agarics bracket fungi).