noun
- a function between two sets where each element of one set corresponds to exactly one element of the other set, and vice versa
Usage: mathematics
Examples
- The function f(x) = 2x establishes a bijection between integers and even integers.
- A bijection exists between the set of natural numbers and the set of positive even numbers.
- The teacher explained that a bijection requires both injection and surjection properties.
- Finding a bijection between two infinite sets proves they have the same cardinality.
- The mapping between students and their ID numbers forms a bijection.
- In combinatorics, bijections are used to prove that two sets have equal size.