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Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution
Author(s) -
Александр Евгеньевич Кондратенко,
Виталий Николаевич Соболев
Publication year - 2022
Publication title -
vestnik tverskogo gosudarstvennogo universiteta. seriâ prikladnaâ matematika
Language(s) - English
Resource type - Journals
ISSN - 1995-0136
DOI - 10.26456/vtpmk628
Subject(s) - remainder , unification , generalization , mathematics , division (mathematics) , entropy (arrow of time) , convolution (computer science) , maximization , distribution (mathematics) , mathematical analysis , mathematical optimization , computer science , arithmetic , physics , quantum mechanics , machine learning , artificial neural network , programming language
В статье рассматривается вопрос сохранения информационного свойства свертки с каноническим равномерным распределением в случаях произвольной конечной решетки и произвольного отрезка. Для этого предлагаются обобщение и унификация понятий остатка от деления и дробной части. The article considers the issue of preserving the informationproperty of convolution with canonical uniform distribution in the casesof arbitrary finite lattice and arbitrary segment. For thispurpose, the generalization and the unification of the concepts of remainder of division and fractional part are proposed.

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