mathbong
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Glossary math Term Page

Function (math)

A relation with exactly one output for each input

function-math #math#set-theory
Korean version

Aliases

mathematical functionfunction in mathematics

Prerequisites

RelationCartesian product

Related Concepts

RelationInjective functionSurjective functionBijectionCardinality

Core Idea

A function is a special relation in which each input in the domain is matched with exactly one output in the codomain. This is the core input-output structure used across mathematics.

Role In This Blog

In Mathbong, the mathematical function becomes the bridge from set theory into later topics such as algebra, calculus, and the comparison of set sizes.

Posts Mentioning This Concept

[Set Theory Series 1] What Is Set Theory, and Why Study It? An introduction to why set theory serves as a common language of mathematics and how this series builds the core ideas step by step.[집합론 시리즈 1편] 집합론은 무엇이고 왜 배우는가 집합론이 수학의 공통 언어로 쓰이는 이유와 이 시리즈에서 다룰 핵심 흐름을 소개합니다.[Set Theory Series 7] Functions: From Relations to Functions Understand functions as a special kind of relation, and organize domain, codomain, image, injective, surjective, and bijective ideas.