| 数学分析中的四个等价命题 |
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| 引用本文： | 赵宇,董庆超,黄金莹,刘春妍,康兆敏.数学分析中的四个等价命题[J].大学数学,2013,29(1):77-81. |
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| 作者姓名： | 赵宇 董庆超 黄金莹 刘春妍 康兆敏 |
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| 作者单位： | 佳木斯大学,黑龙江佳木斯,154007 |
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| 基金项目： | 佳木斯大学教学研究项目 |
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| 摘 要： | 围绕数学分析的极限理论,给出四个等价命题,包括海涅定理的推广、介值性的刻划、一致连续性的刻划和级数收敛的刻划,相应指出它们在理论上的应用.
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| 关 键 词： | 海涅定理 介值性定理 一致连续 级数 |
Four Equivalent Propositions of Mathematical Analysis |
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| ZHAO Yu
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DONG Qing-chao
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HUANG Jin-ying
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LIU Chun-yan
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KANG Zhao-min.Four Equivalent Propositions of Mathematical Analysis[J].College Mathematics,2013,29(1):77-81. |
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| Authors: | ZHAO Yu DONG Qing-chao HUANG Jin-ying LIU Chun-yan KANG Zhao-min |
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| Institution: | (Jiamusi University,Jiamusi,Heilongjiang 154007,China) |
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| Abstract: | The present article gives four equivalent propositions of limit theory of mathematical analysis,including the spread of Heine theorem,characterizes of the intermediate value,uniform continuity and series convergence.At the same time,this article gives their applications on theory. |
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| Keywords: | Heine theorem intermediate value theorem uniform continuity series |
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