Results 31 to 40 of about 3,929,149 (297)
Topological Bihyperbolic Modules
Communications in Advanced Mathematical Sciences, 2021 The aim of this article is introducing and researching hyperbolic modules, bihyperbolic modules, topological hyperbolic modules, and topological bihyperbolic modules.
Merve Bilgin, Soley Ersoy
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Journal of Humanistic Mathematics, 2013 We discuss how a creature accustomed to Euclidean space would fare in a world of hyperbolic or spherical geometry, and conversely. Various optical illusions and counterintuitive experiences arise, which can be explicated mathematically using plane models of these geometries.
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The Half-Space Model of Pseudo-hyperbolic Space
, 2022 24 pages, 6 figures. Added Lemma 6.2 and additional details in the proofs of Propositions 2.5 and 5.1; other minor improvements and ...
Seppi A., Trebeschi E.
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Analysis and Geometry in Metric Spaces, 2016 We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
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Translation-Based Embeddings with Octonion for Knowledge Graph Completion
Applied Sciences, 2022 Knowledge representation learning achieves the automatic completion of knowledge graphs (KGs) by embedding entities into continuous low-dimensional vector space.
Mei Yu +7 more
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Boundaries of hyperbolic metric spaces [PDF]
Pacific Journal of Mathematics, 2005 We investigate the relationship between the metric boundary and the Gromov boundary of a hyperbolic metric space. We show that the Gromov boundary is a quotient topological space of the metric boundary, and that therefore a word-hyperbolic group has an amenable action on the metric boundary of its Cayley graph.
Webster, Corran, Winchester, Adam
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Normal automorphisms of relatively hyperbolic groups
, 2010 An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin +3 more
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Convex regions in the plane and their domes [PDF]
, 2006 We make a detailed study of the relation of a euclidean convex region $\Omega \subset \mathbb C$ to $\mathrm{Dome} (\Omega)$. The dome is the relative boundary, in the upper halfspace model of hyperbolic space, of the hyperbolic convex hull of the ...
Markovic, V. +3 more
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Molecular Oncology, EarlyView.Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park +6 more
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Ball Packings in Hyperbolic Space
, 2023 In hyperbolic space density cannot be defined by a limit as we define it in Euclidean space. We describe the local density bounds for sphere packings and we discuss the different attempts to define optimal arrangements in hyperbolic space.
Tóth, Gábor Fejes +2 more
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