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二次无理数的连分数及其应用
引用本文:陈广锋,杨中和.二次无理数的连分数及其应用[J].西安文理学院学报,2008,11(4):23-27.
作者姓名:陈广锋  杨中和
作者单位:西安文理学院数学系,陕西西安710065
摘    要:给出了二次无理数(a+√n)/b展为连分数的简便算法,并将该算法用于有理数的连分数展开及某些定理的证明.

关 键 词:过渡数  部分商  连分数

The Continued Fraction of the Quadratic Irrational Number and Its Applications
CHEN Guang-feng,YANG Zhong-he.The Continued Fraction of the Quadratic Irrational Number and Its Applications[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2008,11(4):23-27.
Authors:CHEN Guang-feng  YANG Zhong-he
Institution:( Department of Mathematics, Xi'an University of Arts and Science, Xi'an 710065, China)
Abstract:This paper gives a simple and convenient arithmetic on the continued fraction of the quadratic irrational number , and then uses it on the continued fraction of the rational number and some theory' s proof.
Keywords:transitional number  partial quotient  the continued fraction  
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