Glossary math Term Page

Complement

The elements left outside a set inside a fixed universe

complement #math#set-theory

Korean version

Aliases

complementset complement

Prerequisites

Mathematical set

Related Concepts

Set operation Set difference Union Intersection

Core Idea

The complement of a set $A$ , relative to a universal set $U$ , is the set of elements in $U$ that are not in $A$ . It is often written as $A^c$ or $U \setminus A$ .

Role In This Blog

In Mathbong, complement is the key reminder that some set operations depend on the chosen universe, not only on the set itself.

Posts Mentioning This Concept

[Set Theory Series 4] Set Operations: Union, Intersection, Difference, and Complement Learn the four most common set operations and see how they connect naturally to logical conditions.[집합론 시리즈 4편] 집합 연산: 합집합, 교집합, 차집합, 여집합 집합 사이의 대표 연산 네 가지를 익히고, 조건의 결합이 집합 연산과 어떻게 연결되는지 봅니다.