Results 31 to 40 of about 93,156 (306)

On geometry on a two-dimensional plane in a five-dimensional pseudo-Euclidean space of index two [PDF]

E3S Web of Conferences
The study of the geometry of surfaces having a codimension greater than one in multidimensional spaces is one of the most difficult problems in geometry. When the multidimensional geometry under consideration has a pseudo-Euclidean metric, its complexity
Mamadaliev Botirjon, Sultanov Bekzod, Ismoilov Sherzodbek   +2 more
doaj   +1 more source

Topologies of Bihyperbolic Numbers

Mathematics, 2022
In this paper, we establish a correlation between the bihyperbolic numbers set and the semi-Euclidean space. There are three different norms on the semi-Euclidean space that allow us to define three different hypersurfaces on semi-Euclidean space. Hence,
Ana Savić, Merve Bilgin, Soley Ersoy, Marija Paunović   +3 more
doaj   +1 more source

A nonamenable “factor” of a Euclidean space

The Annals of Probability, 2021
23 pages, 4 ...
openaire   +4 more sources

Equiangular Subspaces in Euclidean Spaces [PDF]

Discrete & Computational Geometry, 2018
A set of lines through the origin is called equiangular if every pair of lines defines the same angle, and the maximum size of an equiangular set of lines in $\mathbb{R}^n$ was studied extensively for the last 70 years. In this paper, we study analogous questions for $k$-dimensional subspaces.
Balla, Igor, Sudakov, Benny
openaire   +4 more sources

ETEA: A euclidean minimum spanning tree-Based evolutionary algorithm for multiobjective optimization [PDF]

, 2013
© the Massachusetts Institute of TechnologyAbstract The Euclidean minimum spanning tree (EMST), widely used in a variety of domains, is a minimum spanning tree of a set of points in the space, where the edge weight between each pair of points is their ...
Yang, S, Li, Miqing; id_orcid, Liu, X, Li, M, Zheng, Jinhua, Li, Miqing, Yang, Shengxiang, Zheng, J, Liu, Xiaohui   +8 more
core   +1 more source

Uniform Page Migration Problem in Euclidean Space

Algorithms, 2016
The page migration problem in Euclidean space is revisited. In this problem, online requests occur at any location to access a single page located at a server.
Amanj Khorramian, Akira Matsubayashi
doaj   +1 more source

Dictionary Learning of Symmetric Positive Definite Data Based on Riemannian Manifold Tangent Spaces and Local Homeomorphism

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, Shuyu Liu, Zhengming Ma, Weijia Feng   +3 more
doaj   +1 more source

On a class of surfaces in the euclidean space

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2002
This work represents a brief report on a special class of 2-D submanifolds of Euclidean spaces. For a good understanding of this paper, the reader is expected to be familiar with semiparallel \(n\)-dimensional submanifolds in \((n+d)\)-dimensional Euclidean spaces. In this sense, the reviewer recommends Thm. 2.2. of [\textit{J.
Özgür, Cihan, Arslan, Kadri, Murathan, Cengizhan   +2 more
openaire   +6 more sources

On Euclidean corrections for non-Euclidean dissimilarities [PDF]

, 2008
Non-Euclidean dissimilarity measures can be well suited for building representation spaces that are more beneficial for pattern classification systems than the related Euclidean ones [1,2].
Robert P. W. Duin, Horst Bunke, Elżbieta Pękalska, Lee, Wan-Jui, Artsiom Harol, Wan-Jui Lee, Duin, Robert P.W., Harol, Artsiom, Bunke, Horst, Lee, Wan Jui, Pekalska, Elzbieta, Duin, Robert P W   +11 more
core   +1 more source

Zero energy scattering calculation in Euclidean space

Physics Letters B, 2016
We show that the Bethe–Salpeter equation for the scattering amplitude in the limit of zero incident energy can be transformed into a purely Euclidean form, as it is the case for the bound states.
J. Carbonell, V.A. Karmanov
doaj   +1 more source