1. relating to or being a function that is both one-to-one and onto, establishing a perfect correspondence between two sets
Usage: mathematics

Examples

• The function f(x) = 2x + 1 is bijective when mapping real numbers to real numbers.
• A bijective function has an inverse function.
• The teacher explained that bijective mappings preserve the size of sets.
• In cryptography, bijective functions are essential for creating reversible operations.
• The bijective property ensures that each element in the domain maps to exactly one element in the codomain.
• Students must prove that a function is both injective and surjective to show it is bijective.