| Issue |
E3S Web Conf.
Volume 224, 2020
Topical Problems of Agriculture, Civil and Environmental Engineering (TPACEE 2020)
|
|
|---|---|---|
| Article Number | 01002 | |
| Number of page(s) | 11 | |
| Section | Mathematical Models for Environmental Monitoring and Assessment | |
| DOI | https://doi.org/10.1051/e3sconf/202022401002 | |
| Published online | 23 December 2020 | |
Models of abstract and real systems based on broken symmetry group
1
Vladimir Branch of the Russian Presidential Academy of National Economy and Public Administration, 59a Gorky Street, Vladimir, 600017, Russia
2
National Research University Higher School of Economics, 20 Myasnitskaya Street, Moscow, 101000, Russia
3
Vladimir State University n.a. A.G. and N.G. Stoletovs, 87 Gorky Street, Vladimir, 600000, Russia
* Corresponding author: godograf@list.ru
This article shows that symmetry groups as well as broken symmetry groups in natural and abstract mathematical may be used as models of development and evolution objects while describing the states and transformations of such systems. It also demonstrates “visualization” methods of PbTe nanostructures, ZN arithmetic, Galois group for the roots of a fourth degree polynomial, and DNA structure in the framework of category theory.
© The Authors, published by EDP Sciences, 2020
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