bijection

[ bahy-jek-shuh n ]
/ baɪˈdʒɛk ʃən /

noun Mathematics.

a map or function that is one-to-one and onto.

Origin of bijection

1965–70; bi-1 + -jection, as in projection

Words nearby bijection

British Dictionary definitions for bijection

bijection
/ (baɪˈdʒɛkʃən) /

noun

a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse See also injection (def. 5), surjection

Scientific definitions for bijection

bijection
[ bī-jĕkshən ]

Mathematics

A function that is both an injection and a surjection. In a bijection, each member of the range corresponds to an element of the domain that is mapped onto it, and there is a one-to-one correspondence between the members of the domain and the range. All linear functions, such as y = x + 3, are bijections. Compare injection surjection.