МНОЖЕСТВА ЕВКЛИДОВЫХ КОМБИНАТОРНЫХ КОНФИГУРАЦИЙ: ПРОБЛЕМЫ И ПЕРСПЕКТИВЫ
Journal Title: Science Review - Year 2018, Vol 1, Issue 2
Abstract
In this paper, a class of the Euclidean combinatorial configurations sets (e-configurations sets) is discussed. Their connection with combinatorial configurations sets and the Euclidean combinatorial sets is established. The e-configurations sets classification, based on the analysis of geometric features and the specifics of the formation, is given. The notion of a basic set of e-configurations is introduced. Approaches to e-configurations sets’ modeling by continuous functional representations method that are based on the analysis of geometric peculiarities and e-configurations induced multiset are described. For the vertex-located sets of e-configurations, optimization methods and convex extension approaches are listed. Mathematical models of real problems are formulated in terms of e-configurations, and the area of practical application of the results is outlined.
Authors and Affiliations
О. С. Пичугина
Keywords
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