a map or function that is one-to-one and onto.
a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse See also injection (sense 5), surjection
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.


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