| Dirichlet函数与Riemann函数的性质及应用 |
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| 引用本文： | 门亚风,王晓敏,刘建波.Dirichlet函数与Riemann函数的性质及应用[J].数学学习,2014(1):125-127. |
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| 作者姓名： | 门亚风 王晓敏 刘建波 |
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| 作者单位： | 东北大学秦皇岛分校数学与统计学院 |
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| 摘 要： | 探讨Dirichlet函数和Riemann函数的连续性、可导性和可积性,并由此分别构造出在一点连续、多点连续、一点可导、多点可导的函数.
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| 关 键 词： | Dirichlet函数 Riemann函数 连续性 可导性 可积性 |
Properties of Dirichlet and Riemann Functions and Applications |
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| MEN Yafeng;WANG Xiaomin;LIU Jianbo.Properties of Dirichlet and Riemann Functions and Applications[J].Studies In College Mathematics,2014(1):125-127. |
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| Authors: | MEN Yafeng;WANG Xiaomin;LIU Jianbo |
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| Institution: | MEN Yafeng;WANG Xiaomin;LIU Jianbo;School of Mathematics and Statistics,Northeasten University; |
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| Abstract: | In this article,the properties of Dirichlet function and Riemann function are discussed,including continuity,differentiability,Riemann integrability,and Lebesgue integrability.For the application,functions with special properties related are constructed. |
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| Keywords: | Dirichlet function Riemann function continuity differentiability integrability |
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