Results 11 to 20 of about 623,025 (279)

Integral geometry on discrete matrices

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
Attioui Abdelbaki
doaj   +1 more source

STROPHOIDS, A FAMILY OF CUBIC CURVES WITH REMARKABLE PROPERTIES

open access: yesJournal of Industrial Design and Engineering Graphics, 2015
Strophoids are circular cubic curves which have a node with orthogonal tangents. These rational curves are characterized by a series or properties, and they show up as locus of points at various geometric problems in the Euclidean plane: Strophoids are ...
Hellmuth Stachel
doaj   +4 more sources

Geometry of discrete copulas [PDF]

open access: yesJournal of Multivariate Analysis, 2019
Multivariate distributions are fundamental to modeling. Discrete copulas can be used to construct diverse multivariate joint distributions over random variables from estimated univariate marginals. The space of discrete copulas admits a representation as a convex polytope which can be exploited in entropy-copula methods relevant to hydrology and ...
Perrone, Elisa   +3 more
openaire   +5 more sources

Discrete Differential Geometry [PDF]

open access: yesOberwolfach Reports, 2015
This is the collection of extended abstracts for the 26 lectures and the open problem session at the fourth Oberwolfach workshop on Discrete Differential Geometry.
Alexander I. Bobenko   +2 more
openaire   +2 more sources

On Weingarten transformations of hyperbolic nets [PDF]

open access: yes, 2013
Weingarten transformations which, by definition, preserve the asymptotic lines on smooth surfaces have been studied extensively in classical differential geometry and also play an important role in connection with the modern geometric theory of ...
Emanuel Huhnen-venedey   +2 more
core   +1 more source

Cell-paths in mono- and bichromatic line arrangements in the plane [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
Combinatorics
Oswin Aichholzer   +10 more
doaj   +1 more source

Script geometry [PDF]

open access: yes, 2016
In this paper we describe the foundation of a new kind of discrete geometry and calculus called Script Geometry. It allows to work with more general meshes than classic simplicial complexes.
Cerejeiras, Paula   +3 more
core   +2 more sources

The Complement of Binary Klein Quadric as a Combinatorial Grassmannian

open access: yesMathematics, 2015
Given a hyperbolic quadric of PG(5, 2), there are 28 points off this quadric and 56 lines skew to it. It is shown that the (286; 563)-configuration formed by these points and lines is isomorphic to the combinatorial Grassmannian of type G2(8). It is also
Metod Saniga
doaj   +1 more source

Information geometry, dynamics and discrete quantum mechanics [PDF]

open access: yes, 2013
We consider a system with a discrete configuration space. We show that the geometrical structures associated with such a system provide the tools necessary for a reconstruction of discrete quantum mechanics once dynamics is brought into the picture.
Hall, Michael J. W., Reginatto, Marcel
core   +2 more sources

Thinnest Covering of the Euclidean Plane with Incongruent Circles

open access: yesAnalysis and Geometry in Metric Spaces, 2017
In 1958 L. Fejes Tóth and J. Molnar proposed a conjecture about a lower bound for the thinnest covering of the plane by circles with arbitrary radii from a given interval of the reals.
Dorninger Dietmar
doaj   +1 more source

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