Results 21 to 30 of about 135,287 (264)
Frontiers in Cell and Developmental Biology, 2023 Background: The concept of the latent geometry of a network that can be represented as a graph has emerged from the classrooms of mathematicians and theoretical physicists to become an indispensable tool for determining the structural and dynamic ...
Paola Lecca +3 more
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, 2013 The author considers the space of relativistic velocities in the Minkowski vector space \(\mathbb{R}^{1,n}\) as the unit ball \(B^n \subset \mathbb{R}^n \) with the non-commutative non-associative invertible binary operation \(\oplus\), defined by the relativistic addition of velocities.
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Physical Review Research, 2021 Hyperbolic metamaterials have attracted considerable interest in the research community for their peculiar ability to enhance control of electromagnetic waves' propagation.
Shahram Dehdashti +7 more
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Al-Mustansiriyah Journal of Science, 2021 In this paper, we present two gyroarea formulas (Möbius-Bretschneider’s formula and Möbius-Cagnoli’s formula) for Möbius gyroquadrilaterals in the Poincaré disc model of hyperbolic geometry.
Gülcan Balakan, Oğuzhan Demirel
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Sampling Geometric Inhomogeneous Random Graphs in Linear Time [PDF]
, 2017 Real-world networks, like social networks or the internet infrastructure, have structural properties such as large clustering coefficients that can best be described in terms of an underlying geometry.
Bringmann, Karl +2 more
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, 2020 This was the preliminary version of a textbook, at the stage of rough draft.
Parisa Hariri +2 more
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An Instrument in Hyperbolic Geometry [PDF]
Proceedings of the American Mathematical Society, 1962 In addition to straight edge and compasses, the classical instruments of Euclidean geometry, we have in hyperbolic geometry the horocompass and the hypercompass. By a straight edge, or ruler, we draw the line joining any two distinct points, and by the compasses we construct a circle with given center and radius.
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A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications
Journal of Mathematics, 2014 We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyperbolic area and length formula of Euclidean disk and a circle represented by its Euclidean center and radius.
Hui Bao, Xingdi Chen
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Partialy Paradoxist Smarandache Geometries [PDF]
, 1996 A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors oflines that would seem to require a discrete space.
Iseri, Howard
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An Introduction to Hyperbolic Barycentric Coordinates and their Applications
, 2013 Barycentric coordinates are commonly used in Euclidean geometry. The adaptation of barycentric coordinates for use in hyperbolic geometry gives rise to hyperbolic barycentric coordinates, known as gyrobarycentric coordinates.
A. Einstein +30 more
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