Results 1 to 10 of about 38,492 (212)
Symplectic geometry and topology [PDF]
Journal of Mathematical Physics, 2000 This is a review of the ideas underlying the application of symplectic geometry to Hamiltonian systems. The paper begins with symplectic manifolds and their Lagrangian submanifolds, covers contact manifolds and their Legendrian submanifolds, and indicates the first steps of symplectic and contact topology.
Vladimir I. Arnold
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Geometry without topology as a new conception of geometry [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T‐geometric one are considered. T‐geometry is built only on the basis of information included in the metric (distance between two points). Such geometric concepts as dimension, manifold, metric tensor, curve are fundamental in the Riemannian ...
Yuri A. Rylov
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Topology and Geometry for Physicists [PDF]
Irish Mathematical Society Bulletin, 1984 Charles Nash and Siddhartha Sen 1983 London: Academic x + 311 pp price £25 ISBN 0 12 514080 0 One of the remarkable developments of the last decade is the penetration of topological concepts into theoretical physics. Homotopy groups and fibre bundles have become everyday working tools.
N. O'Murchadha
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Geometry and topology of groups [PDF]
Lietuvos Matematikos Rinkinys, 2013 This short note is a slightly expanded version of the talk given by the author at the 54th LMD Conference, devoted to present a very informal and brief introduction to the main ideas of the asymptotic geometry of groups.
Daniele Ettore Otera
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Using the Evolution Operator to Classify Evolution Algebras
Mathematical and Computational Applications, 2021 Evolution algebras are currently widely studied due to their importance not only “per se” but also for their many applications to different scientific disciplines, such as Physics or Engineering, for instance.
Desamparados Fernández-Ternero +2 more
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Supervised topological data analysis for MALDI mass spectrometry imaging applications
BMC Bioinformatics, 2023 Background Matrix-assisted laser desorption/ionization mass spectrometry imaging (MALDI MSI) displays significant potential for applications in cancer research, especially in tumor typing and subtyping.
Gideon Klaila +2 more
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Comptes Rendus. Mathématique, 2023 Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
Journal of Function Spaces, 2021 In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
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New light on Bergman complexes by decomposing matroid types [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Bergman complexes are polyhedral complexes associated to matroids. Faces of these complexes are certain matroids, called matroid types, too. In order to understand the structure of these faces we decompose matroid types into direct summands.
Martin Dlugosch
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Gerty Cori, a Life Dedicated to Chemical and Medical Research
Foundations, 2023 This article shows the life and work of Gerty Cori, a woman born in Czechoslovakia and who later became a naturalized American, who spent her whole life researching, together with her husband, in the laboratory to find the cause of some diseases ...
Juan Núñez Valdés
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