Results 11 to 20 of about 3,180,129 (338)
Matroid Enumeration for Incidence Geometry [PDF]
Matroids are combinatorial abstractions for point configurations and hyperplane arrangements, which are fundamental objects in discrete geometry. Matroids merely encode incidence information of geometric configurations such as collinearity or coplanarity, but they are still enough to describe many problems in discrete geometry, which are called ...
David Bremner+3 more
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High‐Fat and Low‐Carbohydrate Dietary Environments Are Linked to Reduced Idiopathic Epilepsy Incidence and Prevalence [PDF]
Dietary manipulations like ketogenic diets are established interventions for recalcitrant epilepsy. However, it remains unknown whether specific macronutrient exposure through dietary environments could possibly extend to primary preventive qualities ...
Duan Ni+4 more
doaj +2 more sources
An axiom system for incidence spatial geometry
Incidence spatial geometry is based on three-sorted structures consisting of points, lines and planes together with three intersort binary relations between points and lines, lines and planes and points and planes. We introduce an equivalent one-sorted geometrical structure, called incidence spatial frame, which is suitable for modal considerations. We
Alfonso Ríder Moyano, Rafael M. Rubio
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An Incidence Geometry approach to Dictionary Learning [PDF]
We study the Dictionary Learning (aka Sparse Coding) problem of obtaining a sparse representation of data points, by learning \emph{dictionary vectors} upon which the data points can be written as sparse linear combinations.
Sitharam, Meera+2 more
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Finite projective geometries that are incidence structures of caps
AbstractA t-cap in a geometry is a set of t points no three of which are collinear. A quadric in a projective geometry PG(n, q) is a set of points x which satisfy xTQx = 0,Q being an n + 1 by n + 1 matrix over GF(q). We show that in any Desarguesian projective geometry PG(2n, q), q odd, there exists a family of (q + 1)-caps which obey the axioms for ...
Barbu C. Kestenband
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The flecnode polynomial: a central object in incidence geometry [PDF]
We give a brief exposition of the proof of the Cayley-Salmon theorem and its recent role in incidence geometry. Even when we don't use the properties of ruled surfaces explicitly, the regime in which we have interesting results in point-line incidence ...
Katz, Nets Hawk
core +4 more sources
An incidence Hopf Algebra of Convex Geometries
A lattice L is "meet-distributive" if for each element of L, the meets of the elements directly below it form a Boolean lattice. These objects are in bijection with "convex geometries", which are an abstract model of convexity. Do they give rise to an incidence Hopf algebra of convex geometries?
Fabian Latorre
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Parametric investigation of laser incidence geometry in laser-assisted milling of Inconel 718
While laser-assisted milling machining is promising for promoting the machinability of Inconel 718, the geometrical parameters of laser beam relative to milling tool significantly influence its machining performance.
Chenwei Gao+3 more
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Grazing exit versus grazing incidence geometry for x-ray absorption near edge structure analysis of arsenic traces [PDF]
In the presented study the grazing exit x-ray fluorescence was tested for its applicability to x-ray absorption near edge structure analysis of arsenic in droplet samples.
Florian Meirer+4 more
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FinInG: a package for Finite Incidence Geometry
FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective spaces to the flat lands of generalised polygons. The algebraic power of GAP is exploited, particularly in its facility with matrix and permutation groups.
John Bamberg+5 more
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