Results 31 to 40 of about 535 (181)
On a geometric approach to the estimation of interpolation projectors
Моделирование и анализ информационных систем, 2023 Suppose $\Omega$ is a closed bounded subset of ${\mathbb R}^n,$ $S$ is an $n$-dimensional non-degenerate simplex, $\xi(\Omega;S):=$ min {$\sigma\geqslant 1: \Omega\subset \sigma S$}.
Mikhail V. Nevskii, Alexey Y. Ukhalov
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On Minimal Absorption Index for an n-Dimensional Simplex
Моделирование и анализ информационных систем, 2018 Let \(n\in{\mathbb N}\) and let \(Q_n\) be the unit cube \([0,1]^n\). For a nondegenerate simplex \(S\subset{\mathbb R}^n\), by \(\sigma S\) denote the homothetic copy of \(S\) with center of homothety in the center of gravity of \(S\) and ratio of ...
Mikhail V. Nevskii, Alexey Y. Ukhalov
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Topological homotheties on compact Hausdorff spaces [PDF]
Proceedings of the American Mathematical Society, 1969 It is the purpose of this note to extend this result to nonmetrizable compact Hausdorff spaces, replacing the role of metrics by generating families of pseudometrics. Let X be a completely regular space. A family aDE= {Pa f } of pseudometrics pa(x, y) on X will be called a generating family on X iff it generates the topology of X. (The system of sets B
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The Return of Homothety in den Mathematical Contests [PDF]
, 2008 Zabarovska, Sandra
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Connaissance et métamorphoses de l’Iliade en Étrurie
Aitia, 2022 The author offers an itinerary through the images of the Trojan Cycle and the Iliad that arrived or were reinterpreted in Etruria between the ancient orientalizing period and the 4th century B.C.From the 7th century on, knowledge of the Greek epic (which
Françoise-Hélène Massa-Pairault
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On Some Results in the Geometry of Convex Bodies and their Applications
Моделирование и анализ информационных систем, 2015 We give a survey of some results in the geometry of convex bodies and their applications.
M. V. Nevskii
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On a class of topological conjugacy with a homothety
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2020 We consider a class H(Rn) of orientation-preserving homeomorphisms of Euclidean space Rn such that for any homeomorphism h∈H(Rn) and for any point x∈Rn a condition limn→+∞hn(x)→O holds, were O is the origin. It is proved that for any n≥1 an arbitrary homeomorphism h∈H(Rn) is topologically conjugated with the homothety an:Rn→Rn, given by an(x1,…,an ...
Elena Ya. Gurevich, Aleksey A. Makarov
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Homothety Curvature Homogeneity
, 2013 We examine the difference between several notions of curvature homogeneity and show that the notions introduced by Kowalski and Vanžurová are genuine generalizations of the ordinary notion of $k$-curvature homogeneity. The homothety group plays an essential role in the analysis.
García-Río, E. +2 more
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Сучасні інформаційні системи, 2019 The subject matter of the paper is the problem of optimal packing of spheres of different dimension into a container of arbitrary geometric shape. The goal is to construct a mathematical model which associates different statements of the problem.
Georgiy Yaskov, Sergiy Shekhovtsov
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Abelian varieties without homotheties [PDF]
Mathematical Research Letters, 2007 A celebrated theorem of Bogomolov asserts that the $\ell$-adic Lie algebra attached to the Galois action on the Tate module of an abelian variety over a number field contains all homotheties. This is not the case in characteristic $p$: a "counterexample" is provided by an ordinary elliptic curve defined over a finite field. In this note we discuss (and
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