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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A characterization of the nondifferentiability set of the Cantor function
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by J. A. Eidswick PDF
Proc. Amer. Math. Soc. 42 (1974), 214-217 Request permission

Abstract:

The points of nondifferentiability of the Cantor ternary function are characterized in terms of the spacing of 0’s and 2’s in ternary expansions. One consequence is an illustration of Morse’s intermediate-value theorem for Dini derivates.
References
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 42 (1974), 214-217
  • MSC: Primary 26A27
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0327992-8
  • MathSciNet review: 0327992