Chinese remainder theorem

《初等数论》 · 第 174 页

因此，把定理 1 称为孙子剩余定理或孙子定理，国际上称为中国剩余定理。

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《Introduction to Analytic Number Theory》 · 第 117 页 · Section 5.7「Simultaneous linear congruences. The Chinese remainder theorem」，Theorem 5.26

Assume $m_1,\ldots,m_r$ are positive integers, relatively prime in pairs. Let $b_1,\ldots,b_r$ be arbitrary integers. Then the system of congruences $x\equiv b_i\pmod {m_i}$, for $i=1,\ldots,r$, has exactly one solution modulo the product $m_1\cdots m_r$.