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Noncommutative geometry in physics: A point of view
Nuclear Physics B - Proceedings Supplements, 2002Abstract A non technical discussion of some aspects and uses of noncommutative geometry in physics, using the words Spectral Geometry, part of the title of the workshop, as a guide.
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The Geometry of Point Reflections and Quasigroups
Results in Mathematics, 2020This is a survey of results from the rich theory of medial and more general quasigroups and its close connection with the geometry of point-reflections. The emphasis is on questions regarding the simplest axiomatization, in the sense of the minimal number of variables appearing in the identtties, on dependence or independence of axioms, and on ...
Yuri Movsisyan, Victor Pambuccian
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2010
Point-line geometries are just rank two geometries, and so inherit the concepts of morphism and cover from the last chapter. The symmetry between the two types is broken by the concept of a subspace, which treats points differently from lines. A new graph, the point-collinearity graph, is useful in describing geometric properties.
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Point-line geometries are just rank two geometries, and so inherit the concepts of morphism and cover from the last chapter. The symmetry between the two types is broken by the concept of a subspace, which treats points differently from lines. A new graph, the point-collinearity graph, is useful in describing geometric properties.
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On the geometry of saddle point algorithms
[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 2005There has been great deal of innovative work in recent years relating discrete algorithms to continuous flows. Of particular interest are flows which are gradient flows or Hamiltonian flows. Hamiltonian flows do not have asymptotically stable equilibria, but a restriction of the system to a certain set of variables may have such an equilibrium.
Roger W. Brockett +2 more
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3D Point Cloud Geometry Compression on Deep Learning
ACM Multimedia, 20193D point cloud presentation has been widely used in computer vision, automatic driving, augmented reality, smart cities and virtual reality. 3D point cloud compression method with higher compression ratio and tiny loss is the key to improve data ...
Tianxin Huang, Yong Liu
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Mathematics Magazine, 1977
Finite sets with distinguished subsets called lines give examples of the theory of balanced incomplete block designs.
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Finite sets with distinguished subsets called lines give examples of the theory of balanced incomplete block designs.
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Self-evident Automated Proving Based on Point Geometry from the Perspective of Wu’s Method Identity
Journal of Systems Science and Complexity, 2019Jingzhong Zhang, Xicheng Peng, Mao Chen
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The Circular Points and Elementary Geometry
The Mathematical Gazette, 1937Elementary geometry will be supposed to have its usual meaning as euclidean metrical real geometry of the plane. I propose to point out that, while “points at infinity” and “the line at infinity” may be properly introduced in conformity with the axioms, the “circular points” cannot be so introduced.
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Point Cloud Geometry Compression Via Neural Graph Sampling
International Conference on Information Photonics, 2021Linyao Gao +5 more
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The transmissibility of faulted connections in corner-point geometry models
Petroleum Geoscience, 2016Md.Saiful Islam, T. Manzocchi
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