Results 1 to 10 of about 5,495,109 (374)
Noncommutative Euclidean spaces [PDF]
Journal of Geometry and Physics, 2018 We give a definition of noncommutative finite-dimensional Euclidean spaces $\mathbb R^n$. We then remind our definition of noncommutative products of Euclidean spaces $\mathbb R^{N_1}$ and $\mathbb R^{N_2}$ which produces noncommutative Euclidean spaces $\mathbb R^{N_1+N_2}$.
Violette Dubois, Michel, Landi, Giovanni
arxiv +7 more sources
A Union of Euclidean Metric Spaces is Euclidean [PDF]
Discrete Analysis, 2016 A Union of Euclidean Metric Spaces is Euclidean, Discrete Analysis 2016:14, 15pp. A major theme in metric geometry concerns conditions under which it is possible to embed one metric space into another with small distortion. More precisely, if $M_1$ and $
Konstantin Makarychev, Yury Makarychev
doaj +4 more sources
On isometries of Euclidean spaces [PDF]
Proceedings of the American Mathematical Society, 1953 F. S. Beckman, D. A. Quarles
+5 more sources
LOCALLY PERIPHERALLY EUCLIDEAN SPACES ARE LOCALLY EUCLIDEAN, II [PDF]
Bulletin of the American Mathematical Society, 1962 O. G. Harrold
openalex +8 more sources
Graph Neural Network: A Comprehensive Review on Non-Euclidean Space
IEEE Access, 2021 This review provides a comprehensive overview of the state-of-the-art methods of graph-based networks from a deep learning perspective. Graph networks provide a generalized form to exploit non-euclidean space data.
Nurul A. Asif +11 more
semanticscholar +1 more source
Characterizations of Framed Curves in Four-Dimensional Euclidean Space
Universal Journal of Mathematics and Applications, 2021 Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, framed curves in four-dimensional Euclidean space are introduced and new results are obtained. The relation of framed curves
Bahar Doğan Yazıcı +2 more
doaj +1 more source
Transfer Learning for Brain–Computer Interfaces: A Euclidean Space Data Alignment Approach [PDF]
IEEE Transactions on Biomedical Engineering, 2018 Objective: This paper targets a major challenge in developing practical electroencephalogram (EEG)-based brain–computer interfaces (BCIs): how to cope with individual differences so that better learning performance can be obtained for a new subject, with
He He, Dongrui Wu
semanticscholar +1 more source
On quasiplanes in Euclidean spaces [PDF]
Proceedings of the American Mathematical Society, 2007 12 ...
Vladimir M. Miklyukov +2 more
openaire +2 more sources
$d$-Minimal Surfaces in Three-Dimensional Singular Semi-Euclidean Space $\mathbb{R}^{0,2,1}$ [PDF]
Tamkang Journal of Mathematics, 2018 In this paper, we investigate surfaces in singular semi-Euclidean space $\mathbb{R}^{0,2,1}$ endowed with a degenerate metric. We define $d$-minimal surfaces, and give a representation formula of Weierstrass type.
Yuichiro Sato
semanticscholar +1 more source
On Riemann Spaces Conformal to Euclidean Space. [PDF]
Proceedings of the National Academy of Sciences, 1923 H. W. Brinkmann
semanticscholar +4 more sources