| 关于函数一致连续性的反例及其应用 |
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| 引用本文： | 高义,代小丹.关于函数一致连续性的反例及其应用[J].宁夏师范学院学报,2011,32(6):88-91,0. |
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| 作者姓名： | 高义 代小丹 |
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| 作者单位： | 北方民族大学信息与计算科学学院,宁夏银川,750021 |
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| 基金项目： | 北方民族大学教学研究资助项目(2011TR25-YBA) |
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| 摘 要： | 通过构造反例研究了一致连续函数的基本问题,讨论了一致连续性和导数的关系,进而给出应用实例和判断函数一致连续性的充分必要条件.
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| 关 键 词： | 连续函数 一致连续 反例 |
Counter-examples and Application of Uniform Continuity about Function |
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| GAO Yi,DAI Xiaodan.Counter-examples and Application of Uniform Continuity about Function[J].Journal of Ningxia Teachers College,2011,32(6):88-91,0. |
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| Authors: | GAO Yi DAI Xiaodan |
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| Institution: | (School of information and computation science,North University for Nationalities,Yinchuan,Ningxia,750021) |
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| Abstract: | The basic questions of uniformly continuous function are studied by constructing counter-examples,and the relationship between uniform continuity and derivative is discussed,then the application examples and the necessary and sufficient condition of uniformly continuous functions are given. |
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| Keywords: | Continuous function Uniform continuous Counter-examples |
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