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实数连续性九个等价命题的证明
引用本文:罗敬,段汕.实数连续性九个等价命题的证明[J].武汉科技学院学报,2012(3):89-93.
作者姓名:罗敬  段汕
作者单位:中南民族学院数学与统计学院,湖北武汉,430074
摘    要:叙述九种形式的实数连续性定理,并采用闭循环回路方式证明这九种常见实数连续性定理彼此等价。

关 键 词:实数连续性  等价命题  证明

The Proof on the Equivalence among Nine Theorems of the Continuance of Real Number
LUO Jing,DUAN Shan.The Proof on the Equivalence among Nine Theorems of the Continuance of Real Number[J].Journal of Wuhan Institute of Science and Technology,2012(3):89-93.
Authors:LUO Jing  DUAN Shan
Institution:(School of Mathematics and Statistics,South-Central University for Nationalities,Wuhan Hubei 430074,China)
Abstract:This paper illustrates nine theorems of the continuance of real number,and proves the nine theorems are equivalent in the analytic way of closed circle.
Keywords:Continuance of Real Number  Equivalent Preposition  Proof
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