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2019-03-27
Infinite derivatives of the Takagi-Van der Waerden functions
Juan FerreraJavier Gómez GilJesús Llorente
文献摘要
In this paper we characterize the set of points where the lateral derivatives of the Takagi-Van der Waerden functions are infinite. We also prove that the set of points with infinite derivative has Hausdorff dimension one and Lebesgue measure zero.
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