Bijection vs. Bijective — What's the Difference?

In mathematics, a bijection, also known as a bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set. There are no unpaired elements.

Both injective and surjective.

A function that is both one-to-one and onto.

(mathematics) Having a component that is (specified to be) a bijective map; that specifies a bijective map.

(set theory) A one-to-one correspondence, a function which is both a surjection and an injection. Category:en:Functions