In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the codomain) is the image of exactly one element of …

Informally, an injection has each output mapped to by at most one input, a surjection includes the entire possible range in the output, and a bijection has both conditions be true.

Nov 11, 2025 · A bijective function also known as a bijection, ensures a perfect match between two sets, typically referred to as Set A and Set B. To be considered bijective, a function must satisfy these two …

In simple words, we can say that a function f: A→B is said to be a bijective function or bijection if f is both one-one (injective) and onto (surjective). In this article, we will explore the concept of the …

The meaning of BIJECTION is a mathematical function that is a one-to-one and onto mapping.

A function f: A → B is bijective (or f is a bijection) if each b ∈ B has exactly one preimage. Since "at least one'' + "at most one'' = "exactly one'', f is a bijection if and only if it is both an injection and a surjection.

Jul 27, 2024 · If a bijection exists between two sets $S$ and $T$, then $S$ and $T$ are said to be in one-to-one correspondence. Some sources refer to exact correspondence to mean exactly this.

Sep 21, 2025 · Bijection (noun) - In mathematics, a bijection, also known as a bijective function or one-to-one correspondence, is a function between the elements of two sets where every element of one …

Nov 1, 2025 · Note in particular that a function is a bijection if and only if it's both an injection and a surjection. From Latin bi- + iaciō. bijection f (plural bijections) Je voudrais démontrer que cette …

Definition of 'bijection' bijection in British English (baɪˈdʒɛkʃən ) noun a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse