bijection

noun Mathematics.

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

noun

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

Mathematics

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. Compare injection surjection.