Glossary math Term Page

Chinese remainder theorem

a theorem for solving several congruences together

chinese-remainder-theorem #math#number-theory

Related Concepts

modular inverse congruence linear congruence coprime

Core Idea

Chinese remainder theorem is a theorem for solving several congruences together. It usually makes the most sense alongside modular inverse, congruence, linear congruence.

Why It Matters Here

Mathbong reuses this term across number-theory posts as shared vocabulary.

Posts Mentioning This Concept

[Introduction to Number Theory Series Part 14] How Do We Solve Linear Congruences? Solve ax ≡ b (mod n) by separating the inverse case from the gcd case and tracking when solutions exist.[정수론 입문 시리즈 14편] 선형 합동식은 어떻게 풀까? ax≡b mod n 꼴의 선형 합동식을 역원과 최대공약수 관점에서 풀고, 해가 존재하는 경우와 개수를 함께 정리합니다.[Introduction to Number Theory Series Part 15] How Does the Chinese Remainder Theorem Solve Several Congruences at Once? See how pairwise coprime moduli let several congruence conditions combine into one unique congruence class.