Abstract
A quantity is examined that characterizes the relative deviation of a derivative of a function from a specified reference value. This quantity is shown to be interpreted as a derivative of a function in some field constructed using a new operation.
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References
A. N. Kolmogorov and S. V. Fomin, Elements of Function Theory and Functional Analysis [in Russian], Nauka, Moscow (1972).
J. Diedonne, Fundamentals of Modern Analysis [Russian translation], Mir, Moscow (1964).
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 160–165, July–August, 1999.
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Kotlyar, V.Y. Relative rate of change of a function. Cybern Syst Anal 35, 653–657 (1999). https://doi.org/10.1007/BF02835861
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DOI: https://doi.org/10.1007/BF02835861