Results 31 to 40 of about 70,207 (165)
IEEE Access, 2022 Symmetric Positive Definite (SPD) data are increasingly prevalent in dictionary learning recently. SPD data are the typical non-Euclidean data and cannot constitute a Euclidean space.
Hui He +3 more
doaj +1 more source
Journal of Number Theory, 2000 Some addition theorems for Lebesgue measurable sets and lattice subsets of Euclidean space \(\mathbb{R}^n\) are proved. Let \(P\) be an \(n\)-dimensional parallelepiped, \(A\) and \(B\) be non-empty measurable subsets of \(P\) such that the convex hull of \(A\) is \(P\). If \(S=A+B\), then \[ m(S)\geq 2^nm(B)+\min\{m(A),m(p\setminus B)\},\tag{Theorem 4}
openaire +1 more source
Thinking Outside the Euclidean Box: Riemannian Geometry and Inter-Temporal Decision-Making. [PDF]
PLoS ONE, 2016 Inter-temporal decisions involves assigning values to various payoffs occurring at different temporal distances. Past research has used different approaches to study these decisions made by humans and animals.
Himanshu Mishra, Arul Mishra
doaj +1 more source
International Journal of Contemporary Mathematical Sciences, 2007 Let \(M^n\) be a compact, orientable hypersurface in an Euclidean spaces. A sufficient condition involving the scalar curvature, the mean curvature and the infimum of the sectional curvature of \(M^n\) is found enforcing that \(M^n\) is a sphere.
openaire +2 more sources
Minmax Tree Cover in the Euclidean Space
Journal of Graph Algorithms and Applications, 2011 Let G=(V,E) be an edge-weighted graph, and let w(H) denote the sum of the weights of the edges in a subgraph H of G. Given a positive integer k, the balanced tree partitioning problem requires to cover all vertices in V by a set T of k trees of the graph
Seigo Karakawa +2 more
doaj +1 more source
Generalized open sets of Minkowski space [PDF]
Mathematica Moravica, 2015 We consider the Euclidean topology and s-topology on n-dimensional Minkowski space and investigate the interior and closure of the space cone and perforated space cone with respect to these topologies.
Ersoy Soley, Bilgin Merve, Ince Ibrahim
doaj
Offset Ruled Surface in Euclidean Space with Density
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
doaj +1 more source
First eigenvalue of submanifolds in Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2000 We give some estimates of the first eigenvalue of the Laplacian for compact and non-compact submanifold immersed in the Euclidean space by using the square length of the second fundamental form of the submanifold merely.
Kairen Cai
doaj +1 more source
Kinematic Mapping in Semi-Euclidean 4-Space
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2015 We study the some algebraic properties of matrix associated to Hamilton operators is defined for semi-quaternions. The kinematic mapping corresponding to these operators in semi-Euclidean 4-space is same as the kinematic mapping of Blaschke and Grünwald ...
Mehdi JAFARI
doaj +4 more sources
Aronszajn’s Criterion for Euclidean Space [PDF]
The American Mathematical Monthly, 2012 We give a simple proof of a characterization of euclidean space due to Aronszajn and derive a well-known characterization due to Jordan & von Neumann as a corollary.
openaire +2 more sources