Results 21 to 30 of about 93,156 (306)
Mappings that transform helices from Euclidean space to Minkowski space [PDF]
, 2022 In this study, we introduce mappings that transform helices in Euclidean n -space to non-null helices in Minkowski n -space or Minkowski (n + 1)-space.
Mahmut MAK +7 more
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Linear Isometries on Pseudo-Euclidean Space [PDF]
, 2012 In this paper, we characterize curvature of s-line, particularly, Smarandachely embedded graphs and determine linear isometries on (Rn, μ)
Mao, Linfan, Linfan Mao
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Embeddings of graphs in euclidean spaces [PDF]
Discrete & Computational Geometry, 1989 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reiterman, J., Rödl, V, Sinajová, E.
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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 $$\mathbb {R}^{d}$$.
Wei Ren +5 more
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Super parallel immersions in Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2002 Two submanifolds of Euclidean n-space En are called super parallel if the affine normal spaces are homothetic at the corresponding points. Characterizations are given for the action of conformal transformation on super parallel mates.
Tarek Fathy Mersal +1 more
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Framed slant helices in Euclidean 3-space
Advances in Difference Equations, 2021 In this paper, we define framed slant helices and give a necessary and sufficient condition for them in three-dimensional Euclidean space. Then, we introduce the spherical images of a framed curve.
Osman Zeki Okuyucu, Mevlüt Canbirdi
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Partitioning Euclidean space [PDF]
Discrete & Computational Geometry, 1993 The author proves the following theorem: For any fixed \(n\)-simplex \(S\) in \(\mathbb{R}^ n\) there exists a partition of \(\mathbb{R}^ n\) into countably many pieces none of which contains an \(n\)-simplex similar to \(S\). The proof uses the Axiom of Choice.
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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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IEEE Access, 2022 We propose a globally asymptotically convergent hybrid observer for the rigid body rotation and translation system evolving on the special Euclidean group SE(3) in the presence of intermittent measurements of the pose and continuous measurements of the ...
Soham Shanbhag, Dong Eui Chang
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Properties of Euclidean and non-Euclidean distance matrices [PDF]
, 1985 A distance matrix D of order n is symmetric with elements −12dij2, where dii=0. D is Euclidean when the 12n(n−1) quantities dij can be generated as the distances between a set of n points, X (n×p), in a Euclidean space of dimension p.
Gower, J.C., Gower, J. C.
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