Zobrazeno 1 - 10 of 30 pro vyhledávání: '"A M Petrunin"'
1
Graph Comparison Meets Alexandrov
Autor: N. D. Lebedeva, A. M. Petrunin
Publikováno v: Siberian Mathematical Journal. 64:624-628
Graph comparison is a certain type of condition on metric space encoded by a finite graph. We show that any nontrivial graph comparison implies one of Alexandrov's comparisons. The proof gives a complete description of graphs with trivial graph compa
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf0f9044d1a325f0ee4570eaddc1472b
https://doi.org/10.1134/s0037446623030102
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3
Indicators of connective tissue biopolymers in healthy pregnant women
Autor: F. K. Teteluytina, L. M. Shirobokova, I. V. Kondrokhina, E. G. Butolin, M. N. Korotkova, D. A. Malmygin, P. M. Petrunin, R. R. Valiev
Publikováno v: Perm Medical Journal. 39:11-18
Objective. To detect the features of connective tissue metabolism in healthy women during pregnancy. Materials and methods. The study of the connective tissue components was conducted at the terms of 1516 weeks, 2024 weeks as well as before the labor
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::18cff0ac44236fc7c918d66571113d3d
https://doi.org/10.17816/pmj39411-18
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6
On the problem of periodicity of continued fraction expansions of for cubic polynomials over algebraic number fields
Autor: V. P. Platonov, V. S. Zhgoon, M. M. Petrunin
Publikováno v: Sbornik: Mathematics. 213:412-442
We obtain a complete description of the fieldsthat are extensions ofof degree at mostand the cubic polynomialssuch that the expansion ofinto a continued fraction in the field of formal power seriesis periodic. We prove a finiteness theorem for cubic
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::99090c97b4e3fb7173f16d0cd5085352
https://doi.org/10.1070/sm9578
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8
Multifunctional layered composite material used for construction purposes
Autor: Alexander N. Gumeniuk, Irina S. Polyanskikh, Semen M. Petrunin, Filipp E. Shevchenko, Grigory N. Pervushin
Publikováno v: Vestnik MGSU, Vol 16, Iss 6, Pp 688-697 (2021)
Introduction. The adjustability of electrical properties of materials, that have hydraulic setting characteristics, has been studied over the last decades. It is emphasized that any change in electrical properties, triggered by various additives, cau
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0184a3ebe328cff97ca8e224a91f341
https://doi.org/10.22227/1997-0935.2021.6.688-697
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9
On the Finiteness of the Number of Expansions into a Continued Fraction of $$\sqrt f $$ for Cubic Polynomials over Algebraic Number Fields
Autor: M. M. Petrunin, Vladimir Petrovich Platonov
Publikováno v: Doklady Mathematics. 102:487-492
We obtain a complete description of cubic polynomials f over algebraic number fields $$\mathbb{K}$$ of degree $$3$$ over $$\mathbb{Q}$$ for which the continued fraction expansion of $$\sqrt f $$ in the field of formal power series $$\mathbb{K}((x))$$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ccf867f67e03e9ba49f6b6d4115ed3c0
https://doi.org/10.1134/s1064562420060137
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10
On the Problem of Periodicity of Continued Fraction Expansions of $$\sqrt f $$for Cubic Polynomials over Number Fields
Autor: M. M. Petrunin, Vladimir Petrovich Platonov, Vladimir S. Zhgoon
Publikováno v: Doklady Mathematics. 102:288-292
We obtain a complete description of fields $$\mathbb{K}$$ that are quadratic extensions of $$\mathbb{Q}$$ and of cubic polynomials $$f \in \mathbb{K}[x]$$ for which a continued fraction expansion of $$\sqrt f $$ in the field of formal power series $$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::df447e01f3e1e5a9b2159827e1f28d96
https://doi.org/10.1134/s1064562420040249
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