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Broken Symmetry Groups, Tables, and Structural Images in the Computer Experiment

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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.

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ACKNOWLEDGMENTS

This study was supported by the Russian Foundation for Basic Research, project no. 18-07-00170.

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Authors and Affiliations

  1. Russian Presidential Academy of National Economy and Public Adminisration, Vladimir Branch, 600017, Vladimir, Russia

    V. G. Rau

  2. OOO Production Association KVM, 600005, Vladimir, Russia

    L. A. Lomtev

  3. Vladimir State University, 600000, Vladimir, Russia

    T. F. Rau

Authors
  1. V. G. Rau
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  2. L. A. Lomtev
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  3. T. F. Rau
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Correspondence to V. G. Rau.

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Translated by Yu. Sin’kov

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Rau, V.G., Lomtev, L.A. & Rau, T.F. Broken Symmetry Groups, Tables, and Structural Images in the Computer Experiment. Crystallogr. Rep. 64, 559–565 (2019). https://doi.org/10.1134/S106377451902024X

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  • DOI: https://doi.org/10.1134/S106377451902024X

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