| 处处连续但处处不可导函数的构造方法 |
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| 引用本文： | 刘雁鸣. 处处连续但处处不可导函数的构造方法[J]. 湖北民族学院学报(自然科学版), 2012, 0(1): 32-34 |
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| 作者姓名： | 刘雁鸣 |
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| 作者单位： | 武汉工程大学理学院 |
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| 基金项目： | 国家自然科学基金项目(11071275) |
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| 摘 要： | 应用两种方法构造处处连续但处处不可导函数,分别推广了Van der Waerden的构造方法和Bush的构造方法,并给出了详细的证明.
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| 关 键 词： | 处处连续 处处不可导 函数 |
The Methods of Constructing Nowhere Differentiable Continuous Functions |
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| LIU Yan-ming. The Methods of Constructing Nowhere Differentiable Continuous Functions[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2012, 0(1): 32-34 |
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| Authors: | LIU Yan-ming |
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| Affiliation: | LIU Yan-ming(School of Science,Wuhan Institute of Technology,Wuhan 430074,China) |
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| Abstract: | This paper discusses how to construct nowhere differentiable continuous functions,and two methods are given and proved in details,which extend Van der Waerden’s and Bush’s methods respectively. |
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| Keywords: | continuous everywhere differentiable nowhere function |
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