Results 271 to 280 of about 12,166 (307)
Sulfur Exposure for Airplane Passengers From Stratospheric Aerosol Injection
Abstract Injection of sulfur dioxide to create a stratospheric sulfate aerosol cloud is the most studied method of climate intervention. It has been suggested that airplanes be used at high latitudes to create such a cloud at lower altitudes. Commercial airplanes routinely fly at altitudes of 11 km in the Arctic, and therefore passengers could be ...
Alan Robock +3 more
wiley +1 more source
A Cortical-Inspired Contour Completion Model Based on Contour Orientation and Thickness. [PDF]
Galyaev I, Mashtakov A.
europepmc +1 more source
Information-Theoretical Analysis of a Transformer-Based Generative AI Model. [PDF]
Deb M, Ogunfunmi T.
europepmc +1 more source
From Geometry of Hamiltonian Dynamics to Topology of Phase Transitions: A Review. [PDF]
Pettini G, Gori M, Pettini M.
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Geodesics and Almost Geodesics Curves
Results in Mathematics, 2018An \textit{almost geodesic} of an affine connection \(\nabla\) on a manifold is a curve \(x(t)\) in the manifold so that \[ \nabla^2_{\dot{x}}\dot{x}=a\nabla_{\dot{x}} \dot{x}+b\dot{x}, \] for some real-valued continuous functions \(a(t)\), \(b(t)\).
Olga Belova +2 more
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Analysis and Applications, 2003
We consider a subRiemannian geometry induced by a step 3 subelliptic partial differential operator in ℝ3. Our main result is the characterization of a canonical submanifold through the origin, all of whose points are connected to the origin by infinitely many (subRiemannian) geodesics.
Greiner, Peter, Calin, Ovidiu
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We consider a subRiemannian geometry induced by a step 3 subelliptic partial differential operator in ℝ3. Our main result is the characterization of a canonical submanifold through the origin, all of whose points are connected to the origin by infinitely many (subRiemannian) geodesics.
Greiner, Peter, Calin, Ovidiu
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Geodesic as Limit of Geodesics on PL-Surfaces
2008We study the problem of convergence of geodesics on PL-surfaces and in particular on subdivision surfaces. More precisely, if a sequence (Tn)n∈N of PL-surfaces converges in distance and in normals to a smooth surface S and if Cn is a geodesic of Tn (i.e.
André Lieutier, Boris Thibert
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Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2020
Together with the curse of dimensionality, nonlinear dependencies in large data sets persist as major challenges in data mining tasks. A reliable way to accurately preserve nonlinear structure is to compute geodesic distances between data points. Manifold learning methods, such as Isomap, aim to preserve geodesic distances in a Riemannian manifold ...
Meghana Madhyastha +6 more
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Together with the curse of dimensionality, nonlinear dependencies in large data sets persist as major challenges in data mining tasks. A reliable way to accurately preserve nonlinear structure is to compute geodesic distances between data points. Manifold learning methods, such as Isomap, aim to preserve geodesic distances in a Riemannian manifold ...
Meghana Madhyastha +6 more
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Geodesic compatibility and integrability of geodesic flows
Journal of Mathematical Physics, 2003We give a natural geometric condition called geodesic compatibility that implies the existence of integrals in involution of the geodesic flow of a pseudo-Riemannian metric. We prove that if two metrics satisfy the condition of geodesic compatibility then we can produce a hierarchy of metrics that also satisfy this condition. A lot of metrics studed in
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Synthese, 2017
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