大衍求一術與二元一次不定方程

摘要: 「大衍求一術」 是中國古代數學家秦九韶用以解一次同餘式組的方法。 本文旨在介紹何謂大衍求一術, 以及如何將之轉化為一遞歸求解形式 (recursive method of solution), 並應用此法求解二元一次不定方程。-Premium seeking a binary operation and an indeterminate equation Abstract: " Premium seeking a surgery"　is the ancient Chinese mathematician Horner for the solution of a congruence group approach. This article aims to introduce what is meant by Premium seeking a surgery, and how to turn this into a recursive form of solution (recursive method of solution), and should be an indefinite binary method has been applied to solve equations.