Results 31 to 40 of about 15,978 (295)
Geodesic Geometry on Graphs [PDF]
We investigate a graph theoretic analog of geodesic geometry. In a graph $G=(V,E)$ we consider a system of paths $\mathcal{P}=\{P_{u,v}|u,v\in V\}$ where $P_{u,v}$ connects vertices $u$ and $v$. This system is consistent in that if vertices $y, z$ are in $P_{u,v}$, then the sub-path of $P_{u,v}$ between them coincides with $P_{y,z}$.
Daniel Cizma, Nati Linial
openaire +3 more sources
Circular Geodesics Stability in a Static Black Hole in New Massive Gravity
We study the existence and stability of circular geodesics in a family of asymptotically AdS static black holes in New Massive Gravity theory. We show that the mathematical sign of the hair parameter determines the existence of such geodesics.
Andrés Aceña +2 more
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Dense array EEG (dEEG) source estimation in neocortical epilepsy
Rationale : Dense array EEG (dEEG) evenly covers the whole head surface with over 100 channels contributing to more accurate electrical source imaging due to the higher spatial and temporal resolution.
Madoka eYamazaki +6 more
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THE MAIN PROBLEMS IN ARCHITECTURAL MANAGEMENT OF SETTLEMENTS TERRITORIES
The article considers the major management problems of settlements territories of different kinds in contemporary market conditions, defines the management structure of architectural activity at various designing stages.
O. Drogitskaya
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Kerr Geodesics in Terms of Weierstrass Elliptic Functions
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
core +1 more source
We introduce the heat method for computing the shortest geodesic distance to a specified subset (e.g., point or curve) of a given domain. The heat method is robust, efficient, and simple to implement since it is based on solving a pair of standard linear elliptic problems. The method represents a significant breakthrough in the practical computation of
Crane, Keenan +2 more
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Geodesic walks in polytopes [PDF]
We introduce the geodesic walk for sampling Riemannian manifolds and apply it to the problem of generating uniform random points from polytopes in R^n specified by m inequalities. The walk is a discrete-time simulation of a stochastic differential equation (SDE) on the Riemannian manifold equipped with the metric induced by the Hessian of a convex ...
Yin Tat Lee, Santosh S. Vempala
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How can we determine if a spacetime is flat?
A spacetime is locally flat if and only if no geodesical deviation exists for congruences of all kinds of geodesics. However, while for causal geodesics the deviation can be measured observing the motion of (infinitesimal) falling bodies, it does not
Valter eMoretti, Roberto eDi Criscienzo
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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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13 pages, 27 figures. PDFLaTeX with RevTeX4-1 macros. Fixed some typos and updated references. Published in proceedings of the conference on "Chaos, Complexity, and Transport" (Le Pharo, Marseille, June 2007)
Thiffeault, Jean-Luc, Kamhawi, Khalid
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