bijection

[ bahy-jek-shuhn ]

noun

, Mathematics.

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

bijection

/ baɪˈdʒɛkʃən /

noun

1. See injection, surjection
   a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse See also injection surjection

bijection

/ bī-jĕk′shən /

1. 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.
2. Compare injection

Word History and Origins

Origin of bijection¹

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