Results 21 to 30 of about 4,848,832 (374)
Spherical codes, maximal local packing density, and the golden ratio [PDF]
, 2010 The densest local packing (DLP) problem in d-dimensional Euclidean space Rd involves the placement of N nonoverlapping spheres of unit diameter near an additional fixed unit-diameter sphere such that the greatest distance from the center of the fixed sphere to the centers of any of the N surrounding spheres is minimized.
Adam B. Hopkins +7 more
arxiv +3 more sources
New bounds on the number of unit spheres that can touch a unit sphere in n dimensions [PDF]
Journal of Combinatorial Theory, Series A, 1979 Abstract New upper bounds are given for the maximum number, τn, of nonoverlapping unit spheres that can touch a unit sphere in n-dimensional Euclidean space, for n⩽24. In particular it is shown that τ8 = 240 and τ24 = 196560.
Neil J. A. Sloane, Andrew Odlyzko
openaire +3 more sources
Needlet-Whittle Estimates on the Unit Sphere
, 2013 We study the asymptotic behaviour of needlets-based approximate maximum likelihood estimators for the spectral parameters of Gaussian and isotropic spherical random fields.
Durastanti, Claudio +2 more
core +3 more sources
Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions [PDF]
Advances in Computational Mathematics, 2013 We propose a method to construct numerical solutions of parabolic equations on the unit sphere. The time discretization uses Laplace transforms and quadrature.
Quôc Thông Lê Gia, William McLean
openalex +3 more sources
Legendre curves in the unit spherical bundle over the unit sphere and evolutes [PDF]
, 2016 In order to consider singular curves in the unit sphere, we consider Legendre curves in the unit spherical bundle over the unit sphere. By using a moving frame, we de(cid:12)ne the curvature of Legendre curves in the unit spherical bundle.
Masatomo Takahashi
openalex +2 more sources
Spherical Approximation on Unit Sphere
JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences, 2018 In this paper we introduce a Jackson type theorem for functions in LP spaces on sphere And study on best approximation of functions in spaces defined on unit sphere. our central problem is to describe the approximation behavior of functions in spaces for by modulus of smoothness of functions.
Eman Samir Bhaya, Ekhlas Annon Musa
openaire +3 more sources
Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces [PDF]
, 2012 We prove that an onto isometry between unit spheres of finite-dimensional polyhedral Banach spaces extends to a linear isometry of the corresponding spaces.
Vladimir Kadets, Miguel Martı́n
arxiv +2 more sources
Geodesic paths in the finite dimensional unit sphere under sup norm [PDF]
arXiv, 2013 We characterize geodesic paths in the $n$-dimensional unit sphere under sup norm. A geodesic path between two points is a shortest curve joining the two points.
Teck-Cheong Lim
arxiv +3 more sources
On the extension of surjective isometries whose domain is the unit sphere of a space of compact operators [PDF]
Filomat, 2020 We prove that every surjective isometry from the unit sphere of the space K(H), of all compact operators on an arbitrary complex Hilbert space H, onto the unit sphere of an arbitrary real Banach space Y can be extended to a surjective real linear ...
A. M. Peralta
semanticscholar +1 more source