Results 31 to 40 of about 1,040 (166)
On Some Results in the Geometry of Convex Bodies and their Applications
We give a survey of some results in the geometry of convex bodies and their applications.
M. V. Nevskii
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Connaissance et métamorphoses de l’Iliade en Étrurie
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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Topological homotheties on compact Hausdorff spaces [PDF]
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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Abelian varieties without homotheties [PDF]
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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Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group
The homotheties of spherically symmetric space-time admitting G4, G6, and G10 as maximal isometry groups are already known, whereas, for the space-time admitting G3 as isometry groups, the solution in the form of differential constraints on metric ...
Daud Ahmad, Kashif Habib
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The Return of Homothety in den Mathematical Contests
Sandra Zabarovska
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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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Homothety Curvature Homogeneity
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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Our study addresses the challenges of direct exoplanet observation by introducing an innovative technique based on numerical simulations. We developed and evaluated a method combining Lyot coronagraphy with an Interferometric Apodization by Homothety ...
J. Chafi +6 more
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On preserved properties for slant ruled surfaces under homothety in \(E^{3}\)
In mathematics, it is known that if \(E^{3} \rightarrow E^{3}\) is a homothety and \(N\) is a surface in \(E^{3}\), then \(f(N)=\bar{N}\) is a surface in \(E^{3}\). In this study, especially, the surface \(N\) is considered a slant ruled surface. Then,
Emel Karaca
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