Definition

A type of function in mathematics where each input is paired with exactly one unique output, and each output is paired with exactly one unique input.

Example

In mathematics, a bijective function ensures that every element of the domain corresponds to a unique element in the codomain.

Conversation

Have you ever heard of a bijective function in math?

Yeah, I think it means it's both injective and surjective, right?

Exactly! It’s cool how those concepts connect in such a neat way.

For sure! Understanding bijective mappings can really help with advanced topics.

Synonyms & Antonyms

Root Explanation

Bijective → It is formed from "bi-" (meaning two) and "ject" (from Latin "jacere", meaning to throw). The word describes a function that pairs each element of one set with exactly one element of another set, thus establishing a two-way relationship.

Memory Tip

Think of 'two' ('bi-') things being 'thrown' together ('ject') in a way that each one matches perfectly with another.

Visually Confused Words