Results 21 to 30 of about 15,978 (295)
Integrability of Geodesics of Totally Geodesic Metrics [PDF]
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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Learning and the Development of Contexts for Action
Neurophysiological evidence from animal studies suggests that frontal corticolimbic systems support early stages of learning, whereas later stages involve context representation formed in hippocampus and posterior cingulate cortex.
Phan eLuu +7 more
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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
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
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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Brain substrates of behavioral programs associated with self-regulation
The present paper proposes that four neuromodulator systems underpin highly generalized behavioral sets, but each targets either dorsomedial or ventrolateral cortical systems, where it produces its effects in either a proactive or reactive orientation to
Mattie Tops +8 more
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Geodesics for the Painlevé–Gullstrand Form of Lense–Thirring Spacetime
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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Robust Geodesic Regression [PDF]
This paper studies robust regression for data on Riemannian manifolds. Geodesic regression is the generalization of linear regression to a setting with a manifold-valued dependent variable and one or more real-valued independent variables. The existing work on geodesic regression uses the sum-of-squared errors to find the solution, but as in the ...
Ha Young Shin, Hee-Seok Oh
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GEODESICS IN LORENTZIAN MANIFOLDS [PDF]
We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Riemannian Manifolds ). A geodesic on a Riemannian manifold is, locally, a length minimizing curve. On the other hand, geodesics in Lorentzian manifolds can
Botros, Amir A
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Transcranial electrical neuromodulation based on the reciprocity principle
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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