| 关于极限八个等价定理的循环证明 |
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| 引用本文： | 张艳芳,赵广生.关于极限八个等价定理的循环证明[J].北京农学院学报,2006,21(4):62-64. |
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| 作者姓名： | 张艳芳 赵广生 |
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| 作者单位： | 北京农学院,基础科学系,北京,102206;北京农学院,基础科学系,北京,102206 |
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| 摘 要： | 使用分析的常用技巧对极限的八个等价定理给出了循环证明,体现了分析方法的技巧性,并且提出了以“基本列必收敛”为公理的公理化体系。
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| 关 键 词： | 等价 循环 公理 基本列 |
| 文章编号： | 1002-3186(2006)04-0062-03 |
| 收稿时间： | 2006-07-08 |
| 修稿时间： | 2006-09-10 |
A Circulatory Demonstration of the Eight Equivalent Theorems on Limit |
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| ZHANG Yan-fang,ZHAO Guang-sheng.A Circulatory Demonstration of the Eight Equivalent Theorems on Limit[J].Journal of Beijing Agricultural College,2006,21(4):62-64. |
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| Authors: | ZHANG Yan-fang ZHAO Guang-sheng |
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| Institution: | Department of Basic Science, Beijing Agricultural College, Beijing 102206, China |
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| Abstract: | This paper presents a cyclic chain of proofs for the eight equivalent theorems by using the regular techniques in the calculus.The approach shows the technical property of calculus method and,most importantly,provides the reform approach that is based on the axiom "fundamental sequence must be convergent". |
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| Keywords: | equivalence cycle axiom fundamental sequence |
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