1. the quality or state of being biunique; the property of a function or mapping that is both injective (one-to-one) and surjective (onto), establishing a one-to-one correspondence between two sets.
Usage: technical; mathematics

Examples

• The biuniqueness of the function ensures that every element in the domain maps to exactly one element in the codomain, and every element in the codomain is mapped to by exactly one element in the domain.
• In set theory, biuniqueness is a fundamental property for establishing equivalence between finite sets.
• The mathematician proved the biuniqueness of the transformation by demonstrating both injectivity and surjectivity.