Definition

In mathematics, a type of function where every element in the target set is mapped to by at least one element from the domain.

Example

The function f(x) = x^2 is not a surjection when the target set is all real numbers.

Conversation

Have you ever heard of the term surjection in math class?

Yeah, I think it refers to a function that covers everything, right?

Exactly! It's so interesting how it relates to different mappings.

Totally! Understanding surjection really helps in grasping functions better.

Synonyms & Antonyms

Root Explanation

Surjection → It is formed from "sur-" (from Latin "super", meaning over or above) and "jectio" (from Latin "jacere", meaning to throw). The word describes a function that 'throws' every element of the codomain 'over' to the range, ensuring that every element in the codomain is mapped to by at least one element in the domain.

Memory Tip

Think of 'throwing' ('jectio') every element 'over' ('sur-') to ensure that all parts are covered — that's what surjection means in mathematics.

Visually Confused Words