Results 281 to 290 of about 12,166 (307)
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Hamilton–Jacobi formalism for geodesics and geodesic deviations
Journal of Mathematical Physics, 1989A formalism of integrating the equations of geodesics and of geodesic deviation is examined based upon the Hamilton–Jacobi equation for geodesics. The latter equation has been extended to the case of geodesic deviation and theorems analogous to Jacobi’s theorem on the complete integral has been proved.
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Journal of Logic and Computation, 2008
The purpose of this article is to introduce a class of distance-based iterated revision operators generated by minimizing the geodesic distance on a graph. Such operators correspond bijectively to metrics and have a simple finite presentation. As distance is generated by distinguishability, our framework is appropriate for modelling contexts where ...
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The purpose of this article is to introduce a class of distance-based iterated revision operators generated by minimizing the geodesic distance on a graph. Such operators correspond bijectively to metrics and have a simple finite presentation. As distance is generated by distinguishability, our framework is appropriate for modelling contexts where ...
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Journal of Graph Theory, 1983
AbstractDefine a geodesic subgraph of a graph to be a subgraph H with the property that any geodesic of two points of H is in H. The trivial geodesic subgraphs are the complete graphs Kn' n ≧ 0, and G itself. We characterize all (finite, simple, connected) graphs with only the trivial geodesic subgraphs, and give an algorithm for their construction. We
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AbstractDefine a geodesic subgraph of a graph to be a subgraph H with the property that any geodesic of two points of H is in H. The trivial geodesic subgraphs are the complete graphs Kn' n ≧ 0, and G itself. We characterize all (finite, simple, connected) graphs with only the trivial geodesic subgraphs, and give an algorithm for their construction. We
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International Journal of Computer Vision, 1997
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Journal of Lie Theory, 2000
In order to apply to the non-associative structures the fundamental ideas of Sophus Lie, namely to assign to any local Lie group \(G\) its tangent object in the identity element -- its Lie algebra -- which determines \(G\) in a unique way, the author studies here a very wide class of geodesic loops with respect to a linear connection the curvature of ...
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In order to apply to the non-associative structures the fundamental ideas of Sophus Lie, namely to assign to any local Lie group \(G\) its tangent object in the identity element -- its Lie algebra -- which determines \(G\) in a unique way, the author studies here a very wide class of geodesic loops with respect to a linear connection the curvature of ...
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Proceedings Visualization 2000. VIS 2000 (Cat. No.00CH37145), 2002
Ingrid Hotz, Hans Hagen
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Ingrid Hotz, Hans Hagen
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