| 狄利克雷函数与黎曼函数的性质 |
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| 引用本文： | 何越.狄利克雷函数与黎曼函数的性质[J].河南教育学院学报(自然科学版),2013(4):25-27. |
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| 作者姓名： | 何越 |
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| 作者单位： | 华南师范大学数学科学学院,广东广州510631 |
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| 摘 要： | 总结并证明了狄利克雷函数与黎曼函数的性质,主要包括奇偶性、周期性、连续性、可微性、可积性.特别地,引入极限函数描述狄利克雷函数,并在连续性中引入了上、下半连续.
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| 关 键 词： | 狄利克雷函数 黎曼函数 连续 可导 可积 |
Properties of Dirichlet Function and Riemann Function |
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| HE Yue.Properties of Dirichlet Function and Riemann Function[J].Journal of Henan Education Institute(Natural Science Edition),2013(4):25-27. |
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| Authors: | HE Yue |
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| Institution: | HE Yue ( Department of Mathematics Science, South China Normal University, Guangzhou 510631, China) |
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| Abstract: | The properties of Dirichlet function and Riemann function are consist of parity, periodicity, continuity, differentiability, and integrability. describe Diriehlet function, and upper semicontinuity is introduced as well summarized and proved, which mainly In particular, limit function is used to as lower semicontinuity to continuity. |
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| Keywords: | Dirichlet function Riemann function continuity differentiability integrability |
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