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JOURNALS // Intelligent systems. Theory and applications // Archive

Intelligent systems. Theory and applications, 2020 Volume 24, Issue 4, Pages 57–72 (Mi ista282)

Part 2. Special Issues in Intellectual Systems Theory

Classes of piecewise parallel functions containing all single functions

A. D. Otroschenko

Lomonosov Moscow State University

Abstract: For a class of piecewise-parallel functions implemented by schemes of linear elements and Heaviside functions, an algorithm for checking the completeness of finite subsets supplemented by single functions is obtained. Thus, for this class solved the Slupetski problem

Keywords: The piecewise-linear function piecewise-parallel function, the completeness problem, the Slupetski criterion.



© Steklov Math. Inst. of RAS, 2024