Bijective Functions - Definition, Pictorial explanation and Examples - Ray of Maths скачать в хорошем качестве

Bijective Functions - Definition, Pictorial explanation and Examples - Ray of Maths

Bijection, or bijective function, is a one-to-one correspondence function between the elements of two sets. In such a function, each element of one set pairs with exactly one element of the other set, and each element of the other set has exactly one paired partner in the first set. While understanding bijective mapping, it is important to not confuse such functions with one-to-one correspondence. This article will help you in understanding what a bijective function is, it’s examples, properties, and how to prove that a function is bijective. A bijective function has no unpaired elements and satisfies both injective (one-to-one) and surjective (onto) mapping of a set P to a set Q. Thus, bijective functions satisfy injective as well as surjective function properties and have both conditions to be true. In mathematical terms, let f: P → Q is a function; then, f will be bijective if every element ‘q’ in the co-domain Q, has exactly one element ‘p’ in the domain P, such that f (p) =q. If a function is both injective and surjective, then it is bijective.