| 函数连续的一种新定义 |
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| 引用本文： | 李同荣,崔文艳.函数连续的一种新定义[J].枣庄师专学报,2013(2):14-16. |
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| 作者姓名： | 李同荣 崔文艳 |
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| 作者单位： | 滨州学院数学与信息科学系,山东滨州256603 |
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| 基金项目： | 滨州学院基金项目（项目编号：BZXYkj0810） |
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| 摘 要： | 通过函数的近似引入误差允许函数,给出了连续的一种新定义,说明了它与传统定义的等价性,给出了用新定义证明的几个例子,并由新定义证明了连续与可导的关系,丰富了无痛微积分理论.
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| 关 键 词： | 误差允许函数 连续 近似 |
A New Definition of Continuous Function |
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| LI Tong-rong,CUI Wen-yan.A New Definition of Continuous Function[J].Journal of Zaozhuang Teachers' College,2013(2):14-16. |
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| Authors: | LI Tong-rong CUI Wen-yan |
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| Institution: | LI Tong -rong,CUIWen - yan( Department of Mathematic and Information Sceince, Binzhou University, Binzhou 256603, China) |
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| Abstract: | In this article, the error allow function is introduced by the approximate function, a new definition of continuous and its equivalence with the traditional definition is given, a few examples is given. It enriched painless calculus of Academician Linqun, and provides a new idea for higher mathematics teaching. |
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| Keywords: | error allow function continuous approximation |
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