Broken Symmetry Groups, Tables, and Structural Images in the Computer Experiment
- Authors: Rau V.G.1, Lomtev L.A.2, Rau T.F.3
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Affiliations:
- Russian Presidential Academy of National Economy and Public Adminisration, Vladimir Branch
- OOO Production Association KVM
- Vladimir State University
- Issue: Vol 64, No 4 (2019)
- Pages: 559-565
- Section: Crystallographic Symmetry
- URL: https://journal-vniispk.ru/1063-7745/article/view/194060
- DOI: https://doi.org/10.1134/S106377451902024X
- ID: 194060
Cite item
Abstract
The results of investigation of the extended and broken symmetry substitution groups for elements of finite number sets are presented, with examples of the corresponding abstract structures, their computer visualization, and application in description of real structures. When studying the tables of binary transformations with broken symmetry in a computer experiment, transformation subsets (“evolutionary trees”) with convergent and divergent properties of structure oriented graph have been revealed.
About the authors
V. G. Rau
Russian Presidential Academy of National Economy and Public Adminisration, Vladimir Branch
Author for correspondence.
Email: vgrau@mail.ru
Russian Federation, Vladimir, 600017
L. A. Lomtev
OOO Production Association KVM
Email: vgrau@mail.ru
Russian Federation, Vladimir, 600005
T. F. Rau
Vladimir State University
Email: vgrau@mail.ru
Russian Federation, Vladimir, 600000
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