Results 11 to 20 of about 12,200 (306)
Geodesics in the TPS Space [PDF]
Mathematics, 2022 In shape analysis, the interpolation of shapes’ trajectories is often performed by means of geodesics in an appropriate Riemannian Shape Space. Over the past several decades, different metrics and shape spaces have been proposed, including Kendall shape ...
Valerio Varano +5 more
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GEODESICS OF THE SIERPINSKI GASKET [PDF]
Fractals, 2018 In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket ([Formula: see text]) via code representations of the points and as a main result we show that the maximum number of geodesics between different two points with respect to the intrinsic metric on [Formula: see text] is five.
Saltan, Mustafa +2 more
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Quasihyperbolic geodesics are hyperbolic quasi-geodesics [PDF]
Journal of the European Mathematical Society, 2020 This is a tale describing the large scale geometry of Euclidean plane domains with their hyperbolic or quasihyperbolic distances. We prove that in any hyperbolic plane domain, hyperbolic and quasihyperbolic quasi-geodesics are quantitatively the same curves. We also demonstrate the simultaneous Gromov hyperbolicity of such domains with their hyperbolic
Herron, David A., Buckley, Stephen M.
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Kerr Geodesics in Terms of Weierstrass Elliptic Functions [PDF]
, 2023 We provide a code package written in Wolfram Mathematica to calculate the motion of test particles around a Kerr black hole. The novel analytical solutions describe both timelike and null geodesics.
Hackmann, Eva +2 more
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Integrability of Geodesics of Totally Geodesic Metrics [PDF]
, 2019 Analysis of the geodesics in the space of signature $(1,3)$ that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones - described in [V. Lychagin, V. Yumaguzhin, \emph{Differential invariants and exact solutions of the Einstein equations}, Anal.Math.Phys.
Radosław A. Kycia, Ułan, Maria
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European Physical Journal C: Particles and Fields, 2023 The existence of null circular geodesics in the background of non-extremal spherically symmetric asymptotically flat black holes has been proved in previous works.
Yan Peng
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Time-Course of Cortical Networks Involved in Working Memory
Frontiers in Human Neuroscience, 2014 Working memory (WM) is one of the most studied cognitive constructs. Although many neuroimaging studies have identified brain networks involved in WM, the time course of these networks remains unclear.
Phan eLuu +8 more
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Simple Closed Quasigeodesics on Tetrahedra
Information, 2022 Pogorelov proved in 1949 that every convex polyhedron has at least three simple closed quasigeodesics. Whereas a geodesic has exactly a π surface angle to either side at each point, a quasigeodesic has at most a π surface angle to either side at each ...
Joseph O’Rourke, Costin Vîlcu
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Transcranial electrical neuromodulation based on the reciprocity principle
Frontiers in Psychiatry, 2016 A key challenge in multi-electrode transcranial electrical stimulation (TES) or transcranial direct current stimulation (tDCS) is to find a current injection pattern that delivers the necessary current density at a target and minimizes it in the rest of ...
Mariano eFernandez Corazza +8 more
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Geodesics for the Painlevé–Gullstrand Form of Lense–Thirring Spacetime
Universe, 2022 Recently, the current authors have formulated and extensively explored a rather novel Painlevé–Gullstrand variant of the slow-rotation Lense–Thirring spacetime, a variant which has particularly elegant features—including unit lapse, intrinsically flat ...
Joshua Baines +3 more
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