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对祖冲之的密率推算方法的猜想
引用本文:李胜成.对祖冲之的密率推算方法的猜想[J].孝感学院学报,2007(Z1).
作者姓名:李胜成
作者单位:孝昌县小河中学 湖北孝昌432910
摘    要:圆周率π自古以来一直是人们日常生活中的一个非常重要的常数,祖冲之是我国古代杰出的数学家,在圆周率的研究上为人类作出了不朽的贡献,求出了约率22/7和密率355/113,已非常精确。这一结果是如何推算的一直为人们所考究,笔者就此作些尝试。

关 键 词:圆周率  约率  密率  割圆术  扩圆法

A Conjecture to the Calculating Method of Asymptotic Density of Zu Chongzhi
Li Shengcheng.A Conjecture to the Calculating Method of Asymptotic Density of Zu Chongzhi[J].JOURNAL OF XIAOGAN UNIVERSITY,2007(Z1).
Authors:Li Shengcheng
Abstract:Circumference ratio is a very important constant in our everyday life from everlasting.Zu Chongzhi is a great ancient mathematician in our country and his study of circumference ratio is immortal contribution to mankind.The approximately leads 22/7 and asymptotic density 355/113 he worked out had already been accurate,but how he calculated it? In this paper,the author tries to conjecture the calculating method.
Keywords:circumference ratio  approximately leads  asymptotic density  cyclotomic technique  expand circle law
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