Glossary math Term Page

Cartesian product

The set of all ordered pairs built from two sets

cartesian-product #math#set-theory

Aliases

cartesian product

Prerequisites

Mathematical set

Related Concepts

Mathematical set Power set Relation

Core Idea

The Cartesian product of two sets $A$ and $B$ is the set of all ordered pairs $(a,b)$ with $a \in A$ and $b \in B$ . The order matters.

Role In This Blog

In Mathbong, the Cartesian product is the bridge from basic sets to relations and functions.

Posts Mentioning This Concept

[Set Theory Series 5] Power Sets and Cartesian Products Expand the idea of a set through power sets and Cartesian products, two key tools for later relations and functions.[집합론 시리즈 5편] 멱집합과 데카르트 곱 부분집합 전체를 모은 멱집합과 순서쌍을 만드는 데카르트 곱을 통해 집합의 확장을 배웁니다.[Set Theory Series 10] Set Theory Review Review the core ideas and symbols from the set theory series and prepare to move on to deeper topics in discrete mathematics.