Results 291 to 300 of about 1,762,518 (330)
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Journal of Geometry, 1997
We study incidence structures with a sharply point transitve group of automorphisms (i.e., incidence groups), and state conditions for the possibility to reconstruct the lines from information about the action of the group. This treatment generalizes the familiar description of translation planes. It also includes H. Groh's characterization [Abh. Math.
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We study incidence structures with a sharply point transitve group of automorphisms (i.e., incidence groups), and state conditions for the possibility to reconstruct the lines from information about the action of the group. This treatment generalizes the familiar description of translation planes. It also includes H. Groh's characterization [Abh. Math.
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On commutativity in point-reflection geometries
Journal of Geometry, 1992To any spatial point-reflection geometry there corresponds a determined commutative kinematic space.
Karzel, Helmut +2 more
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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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The Mathematical Gazette, 1952
Finite Galois arithmetics are well-known; finite geometries however, though more interesting to the amateur, have not really acquired professional status and do not appear to any great extent in standard works. The following example arose from a chance remark in Mathematics for T. C. Mits, by L. R. and H. G.
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Finite Galois arithmetics are well-known; finite geometries however, though more interesting to the amateur, have not really acquired professional status and do not appear to any great extent in standard works. The following example arose from a chance remark in Mathematics for T. C. Mits, by L. R. and H. G.
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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 Mathematical Gazette, 1955
The following paragraphs have been assembled in consequence of my reading Dr. Cundy’s note on 25-point geometry. Towards the end of it, apparently mindful of the adjunction of a “ line at infinity ” to the Euclidean plane, he adjoins a line to the 25-point plane and so obtains a geometry of 31 points. Here I reverse this procedure : I start with the 31-
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The following paragraphs have been assembled in consequence of my reading Dr. Cundy’s note on 25-point geometry. Towards the end of it, apparently mindful of the adjunction of a “ line at infinity ” to the Euclidean plane, he adjoins a line to the 25-point plane and so obtains a geometry of 31 points. Here I reverse this procedure : I start with the 31-
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On point-line geometry and displacement
Mechanism and Machine Theory, 2004A framework and the relevant algebraic treatment concerning point-line positions and displacements are explored using dual quaternion algebra. A screw or a dual vector is used to represent a point-line and the pitch is used to measure the endpoint location along the point-line.
Kwun-Lon Ting, Yi Zhang
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Axiomatizability of Geometry without Points
Synthese, 1960The aim of this paper is to make more precise the well-known conviction that geometry may be built without speaking about points. In the first section we prepare some general syntactical theorems which are needed. In the second section we apply these theorems to a certain theory of topology without points.
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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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