bijection
/baɪˈdʒɛkʃən/
noun
- A mathematical function or mapping that is both one-to-one (injective) and onto (surjective), meaning each element of one set is paired with exactly one element of another set, and every element of the second set is paired with exactly one element of the first.
- In set theory, a bijection shows that two sets have the same number of elements.
- To prove the sets are equal in size, we need to find a bijection between them.
- The teacher explained that a bijection is like a perfect pairing between two groups of objects.