中国剩余定理的若干应用

Some Applications of Chinese Remainder Theorem

中国剩余定理是中国古代数学的光辉典范。本文从中国剩余定理的角度统一处理了线性代数、差分方程、微分方程的几个相关问题,突出了中国剩余定理的核心作用。

The Chinese remainder theorem is a shining example of ancient Chinese mathematics. This paper deals with several related problems of linear algebra, difference equations and differential equations from the perspective of Chinese remainder theorem, and highlights the core role of Chinese remainder theorem.