Results 41 to 50 of about 5,495,109 (374)
Superintegrability in three-dimensional Euclidean space [PDF]
, 1998 Potentials for which the corresponding Schrödinger equation is maximally superintegrable in three-dimensional Euclidean space are studied. The quadratic algebra which is associated with each of these potentials is constructed and the bound state wave ...
Kalnins, Ernie G. +3 more
core +2 more sources
Normal curves in n-dimensional Euclidean space
Advances in Difference Equations, 2018 In this paper, we give a generalization of normal curves to n-dimensional Euclidean space. Then we obtain a necessary and sufficient condition for a curve to be a normal curve in the n-dimensional Euclidean space. We characterize the relationship between
Özcan Bektaş
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$ C^* $-partner curves with modified adapted frame and their applications
AIMS Mathematics, 2023 In this study, the curve theory, which occupies a very important and wide place in differential geometry, has been studied. One of the most important known methods used to analyze a curve in differential geometry is the Frenet frame, which is a moving ...
Sezai Kızıltuǧ +3 more
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A Study on $f$-Rectifying Curves in Euclidean $n$-Space
Universal Journal of Mathematics and Applications, 2021 A rectifying curve in the Euclidean $n$-space $\mathbb{E}^n$ is defined as an arc-length parametrized curve $\gamma$ in $\mathbb{E}^n$ such that its position vector always lies in its rectifying space (i.e., the orthogonal complement of its principal ...
Zafar Iqbal, Joydeep Sengupta
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Plane Formation by Synchronous Mobile Robots in the Three-Dimensional Euclidean Space [PDF]
Journal of the ACM, 2015 Creating a swarm of mobile computing entities, frequently called robots, agents, or sensor nodes, with self-organization ability is a contemporary challenge in distributed computing.
Yukiko Yamauchi +3 more
semanticscholar +1 more source
On Distance Mapping from non-Euclidean Spaces to Euclidean Spaces [PDF]
, 2017 Most Machine Learning techniques traditionally rely on some forms of Euclidean Distances, computed in a Euclidean space (typically $$\mathbb {R}^{d}$$). In more general cases, data might not live in a classical Euclidean space, and it can be difficult (or impossible) to find a direct representation for it in $$\mathbb {R}^{d}$$.
Ren, Wei +5 more
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Noncommutative products of Euclidean spaces [PDF]
Letters in Mathematical Physics, 2018 We present natural families of coordinate algebras of noncommutative products of Euclidean spaces. These coordinate algebras are quadratic ones associated with an R-matrix which is involutive and satisfies the Yang-Baxter equations. As a consequence they enjoy a list of nice properties, being regular of finite global dimension.
Dubois-Violette, Michel, Landi, Giovanni
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Electrodynamics in Euclidean Space Time Geometries
Open Physics, 2019 In this article it is proven that Maxwell’s field equations are invariant for a real orthogonal Cartesian space time coordinate transformation if polarization and magnetization are assumed to be possible in empty space. Furthermore, it is shown that this
Schliewe Jörn
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The Space of Clouds in Euclidean Space
Experimental Mathematics, 2004 We study the space {\small $\nua{m}{d}$} of clouds in {\small $\bbr^d$} (ordered sets of m points modulo the action of the group of affine isometries). We show that {\small $\nua{m}{d}$} is a smooth space, stratified over a certain hyperplane arrangement in {\small $\bbr^m$}.
Hausmann, Jean-Claude +1 more
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Minimal translation graphs in semi-Euclidean space
AIMS Mathematics, 2021 In this paper we study a characterization of minimal translation graphs which are generalization of minimal translation hypersurfaces in semi-Euclidean space.
Derya Sağlam
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