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What is Extending Chinese Remainder Theorem to Polynomials about?
This document summarizes the Chinese Remainder Theorem and its extension to polynomials. It begins by explaining the original Chinese problem that inspired the theorem. It then presents the theorem, which states that simultaneous congruences have a unique solution modulo the product of the moduli. The document extends this to polynomials and proves that the algorithm for finding the solution is the Lagrange interpolation formula. It discusses the historical origins and transmission of the theorem between Ch
- Author
- Pradeep Sharma
- Language
- EN