关于不完全平方数的算术平方根的算法及其C^(++)实现

The Arithmetic of Imperfect Square Root's and Algorithm Implementation of C^(++) Language

获得了任意不完全平方数的算术平方根化为无限循环连分数的4条定理,给出了不完全平方数的算术平方根化无限循环连分数的算法,对其算术平方根的有理数近似分数给出了算法和分析了误差,并给出了以上无限循环连分数和有理数近似值及其误差的C++语言的算法实现.

This article makes some explorations on the regulations of transforming any imperfect square＇s arithmetic square root into an infinite loop continued fraction, and provides the arithmetic of transforming any imperfect square into an infinite loop continued fraction, presents the arithmetic about arithmetic square root＇s rational approximate value, analyzes the reason of it＇s error, distinguishes the infinite loop continued fraction and it＇s rational approximate value which mentioned in this article and the arithmetic of it＇s error by the methods of the language of C＋＋.