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The immortaluty of Platonic solids
P. 248-253.
Busjatskaja I., Monastyrsky M. I.
The paper examines the significance of Platonic Solids in different parts of modern science.
In book
Athens : The Hellenic Open University, 2013
Athens : The Hellenic Open University, 2013
The book contains the reports of the member of the congress from the different countres. They consider the idea of the symmety in the science and in the art. ...
Added: January 30, 2014
Анисимов В. А., МЕТОД: Московский ежегодник трудов из обществоведческих дисциплин 2021 № 11 С. 286-298
This article provides an overview of the theoretical foundations of intergenerational justice. It is shown that the theory of intergenerational justice has two foundations: a symmetric and an asymmetric approach. It also includes the positions of John Rawls and his symmetric concept of justice; Terence Ball and his idea of radical asymmetry; and Ken Binmore ...
Added: June 1, 2022
Shramov K., / Cornell University. Series arXiv "math". 2019.
We show that automorphism groups of Hopf and Kodaira surfaces have unbounded finite subgroups. For elliptic fibrations on Hopf, Kodaira, bielliptic, and K3 surfaces, we make some observations on finite groups acting along the fibers and on the base of such a fibration. ...
Added: November 19, 2019
Арутюнов А. А., Kosolapov L., Finite Fields and Their Applications 2021 Vol. 76 Article 101921
In this paper we establish decomposition theorems for derivations of group rings. We provide a topological technique for studying derivations of a group ring A[G] in case G has finite conjugacy classes. As a result, we describe all derivations of algebra A[G] for the case when G is a finite group, or G is an FC-group. In addition, we describe an algorithm to explicitly calculate all derivations of ...
Added: October 4, 2021
Rumynin D., Taylor J., Linear Algebra and its Applications 2021 Vol. 610 P. 135-168
We use the structure of finite-dimensional graded algebras to develop the theory of antilinear representations of finite C_2-graded groups. A finite C_2-graded group is a finite group with a subgroup of index 2. In this theory the subgroup acts linearly, while the other coset acts antilinearly. We introduce antilinear blocks, whose structure is a crucial ...
Added: September 7, 2021
Г.Н. Гумовская, М. : Научно-издательский центр "Университет", 2016
The research is carried out in accord with the main principles of communicative and paradigmatic linguistics. It is devoted to the study of lingual ways of expressing harmony as an ethetic category. Rhythm as a regular repetition of similar and commensurable units of language is considered to be the main mechanism of the harmonious organization ...
Added: March 12, 2016
Prokhorov Y., , in : 8th European Congress of Mathematics, Portorož, 20–26 June, 2021. : [б.и.], 2023. P. 413-437.
We survey new results on finite groups of birational transformations of algebraic varieties. ...
Added: November 13, 2023
Potapova T. A., Молотков С. Н., Письма в Журнал экспериментальной и теоретической физики 2013 Т. 97 № 6 С. 384-391
The symmetry nature of the appearance of specific surface (edge) states at the boundaries of low_dimension structures with the symmetry of ribbons (borders) invariant with respect to time reversal is discussed. Symmetry reasons for the stability of such states against the elastic scattering from nonmagnetic impurities have been revealed. ...
Added: October 11, 2013
А.Е. Мадисон, Физика твердого тела 2014 Т. 56 № 8 С. 1651-1661
The discovery of quasicrystals played a revolutionary role in the condensed matter science and forced to renounce the dogma of the classical crystallography that the regular filling of the space by identical blocks is reduced solely to the Fedorov space groups. It is shown that aperiodic crystals, apart from the similarity, exhibit the self-inversion property. In a ...
Added: April 11, 2023
Popov V. L., Doklady Mathematics 2018 Vol. 98 No. 2 P. 413-415
The compressibility of certain types of finite groups of birational automorphisms of algebraic varieties is established. ...
Added: November 13, 2018
Expressing the statement of the Feit-Thompson theorem with diagrams in the category of finite groups
Gavrilovich M., / arxiv. Series math.GR "arxiv". 2017.
We reformulate the statement of the Feit-Thompson theorem in terms of diagrams in the category of finite groups, namely iterations of the Quillen lifting property with respect to particular morphisms. ...
Added: July 20, 2017
Шелупанов А. А., Evsyutin O., Конев А. А. et al., Symmetry 2019 Vol. 11 No. 2 P. 1-33
In Tomsk University of Control Systems and Radioelectronics (TUSUR) one of the main areas of research is information security. The work is carried out by a scientific group under the guidance of Professor Shelupanov. One of the directions is the development of a comprehensive approach to assessing the security of the information systems. This direction ...
Added: September 3, 2019
Nikitin Y. Y., Acta et Commentationes Universitatis Tartuensis de Mathematica 2017 Vol. 21 No. 1 P. 3-24
A survey of goodness-of-fit and symmetry tests based on the characterization properties of distributions is presented. This approach became popular in recent years. In most cases the test statistics are functionals of U-empirical processes. The limiting distributions and large deviations of new statistics under the null hypothesis are described. Their local Bahadur efficiency for various ...
Added: November 13, 2017
Potapova T. A., Молотков С. Н., Письма в Журнал экспериментальной и теоретической физики 2013 Т. 98 № 5 С. 336-341
A new type of massless Dirac fermions in crystalline three_dimensional topological insulators (three_dimen_sional two_dimensional situation) has been predicted. The spectrum has fourfold degeneracy at the top of the two_dimensional Brillouin zone (M point) and twofold degeneracy near the M point. Crystal symmetry along with the time reversal invariance in three_dimensional topological insulators allows fourfold degenerate ...
Added: October 11, 2013
Prokhorov Y., / Cornell University. Series arXiv "math". 2021.
We survey new results on finite groups of birational transformations of algebraic varieties. ...
Added: November 25, 2021
Оганов А. Р., Konson G., В кн. : Art History in the Context of Other Sciences in Modern World: Parallels and Interaction. : M. : Information and Publishing House Filin, 2020. С. 278-291.
An interview by Grigoriy Konson with Artem R. Oganov, PhD, FRSC MAE, Professor at the Skolkovo Institute of Science and Technology, Professor at the Russian Academy of Sciences, is devoted to crystallography—the science of solid crystalline substances surrounding us, containing an ordered periodic system of atomic positions. Crystallography is at the forefront of the science ...
Added: May 9, 2021
Милостивая А. И., В кн. : Теория и практика коммуникации: Материалы I Международной научно-практической конференции, Тирасполь, Приднестровский государственный университет им. Т. Г. Шевченко, 27-28 февраля 2023 г.: том 1. Т. 1.: Тирасполь : [б.и.], 2023. С. 26-36.
This article analyzes modern linguistic synergetics’ concepts to identify this discipline's main ways and prospects in scientific episteme. The author focuses on the paradigm status and explanatory potential of lingua-synergetic studies. Data for this investigation consists of scientific articles, dissertations and monographs, which set out various versions of the synergistic interpretation of speech activity. As ...
Added: February 11, 2024
A.E. Madison, Structural Chemistry 2015 Vol. 26 No. 4 P. 923-942
The concept of infinitely fragmented fractal tiling is proposed for the description of the structure and symmetry of quasicrystals. Fractal tilings may serve as unique "parent" structures for the corresponding local isomorphism class. The generating symmetry elements and some special features of the resulting symmetry groups of the fractal tilings are analyzed. Simple inflation/deflation rules ...
Added: April 11, 2023
А.Е. Мадисон, Физика твердого тела 2013 Т. 55 № 4 С. 784-796
The definition of an aperiodic crystal (quasicrystal) as a solid that is characterized by the forbidden symmetry suggests the existence of an unsolved problem, because, in a mutually exclusive manner, it appeals to the fundamental theorem of classical crystallography. Using the Penrose tiling as an example, we have investigated the symmetry properties of aperiodic tilings ...
Added: April 11, 2023
Shramov K., European Journal of Mathematics 2021 Vol. 7 P. 591-612
We classify finite groups that can act by automorphisms and birational automorphisms on non-trivial Severi–Brauer surfaces over fields of characteristic zero. ...
Added: September 8, 2021
Expressing the statement of the Feit-Thompson theorem with diagrams in the category of finite groups
Gavrilovich M., Archive for Mathematical Logic 2018
We reformulate the statement of the Feit-Thompson theorem in terms of diagrams in the category of finite groups, namely iterations of the Quillen lifting property with respect to particular morphisms. ...
Added: October 19, 2018
Rasskazov, S.V., Rasskazova, A.N., Koroleva, E.V., , in : 2019 Twelfth International Conference "Management of large-scale system development" (MLSD). : M. : IEEE, 2019. P. 1-5.
The paper provides a methodology for identifying and analyzing group-theoretical symmetry in socio-economic applications. Symmetry is disclosed in the tasks of estimating contingent claims, the main hypotheses of financial markets, time series of stock indexes, including pre-crisis periods, the distribution of urban population and the duration of historical periods. The connection of solutions based on ...
Added: January 23, 2020
Gavrilovich M., / arxiv. Series arxiv "math.CT". 2017.
We illustrate the generative power of the lifting property (orthogonality of morphisms in a category) as means of defining natural elementary mathematical concepts by giving a number of examples in various categories, in particular showing that many standard elementary notions of abstract topology can be defined by applying the lifting property to simple morphisms of ...
Added: July 21, 2017
Shramov K., / Cornell University. Series arXiv "math". 2020.
We classify finite groups that can act by automorphisms and birational automorphisms on non-trivial Severi-Brauer surfaces over fields of characteristic zero. ...
Added: August 19, 2020