| 驻点集与实数集等势的严格单调可微函数的构造 |
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| 引用本文： | 孟庆余.驻点集与实数集等势的严格单调可微函数的构造[J].南京邮电大学学报(自然科学版),2012,32(4):110-112. |
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| 作者姓名： | 孟庆余 |
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| 作者单位： | 南京邮电大学通达学院,江苏南京,210046 |
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| 摘 要： | 构造了一个在闭区间上连续,开区间内可导的严格单调可微函数,其驻点集与实数集等势。该函数说明在闭区间上连续,开区间内可导的严格单调可微函数,其驻点的个数可以相当"多"。
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| 关 键 词： | 严格单调函数 驻点 势 |
The Construction of Differentiable Strictly Monotonic Function Whose Set Constituted by all Stationary Points is Equipotential to Real Number Set |
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| MENG Qing-yu.The Construction of Differentiable Strictly Monotonic Function Whose Set Constituted by all Stationary Points is Equipotential to Real Number Set[J].Journal of Nanjing University of Posts and Telecommunications,2012,32(4):110-112. |
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| Authors: | MENG Qing-yu |
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| Institution: | MENG Qing-yu Tongda College,Nanjing University of Posts and Telecommunications,Nangjing 210046,China |
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| Abstract: | Our paper constructs a differentiable strictly monotonic function which is continuous on closed interval,differentiable in open interval and the set constituted by its stationary points is equipotential to real number set.This function indicates that as a strictly monotonic function which is continuous on closed interval,differentiable in open interval,its stationary points could be very "excessive". |
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| Keywords: | strictly monotonic function stationary points potency |
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