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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
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Model Predictive Regulation on Manifolds in Euclidean Space [PDF]
Sensors, 2022 One of the crucial problems in control theory is the tracking of exogenous signals by controlled systems. In general, such exogenous signals are generated by exosystems.
Karmvir Singh Phogat, Dong Eui Chang
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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
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Twisted Hypersurfaces in Euclidean 5-Space
Mathematics, 2023 The twisted hypersurfaces x with the (0,0,0,0,1) rotating axis in five-dimensional Euclidean space E5 is considered. The fundamental forms, the Gauss map, and the shape operator of x are calculated.
Yanlin Li, Erhan Güler
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Transformation of Non-Euclidean Space to Euclidean Space for Efficient Learning of Singular Vectors
IEEE Access, 2020 Singular value decomposition (SVD) is a popular technique to extract essential information by reducing the dimension of a feature set. SVD is able to analyze a vast matrix in spite of a relatively low computational cost.
Seunghyun Lee, Byung Cheol Song
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Geometric Reinforcement Learning for Robotic Manipulation
IEEE Access, 2023 Reinforcement learning (RL) is a popular technique that allows an agent to learn by trial and error while interacting with a dynamic environment.
Naseem Alhousani +5 more
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Specific Emitter Identification Based on Ensemble Neural Network and Signal Graph
Applied Sciences, 2022 Specific emitter identification (SEI) is a technology for extracting fingerprint features from a signal and identifying the emitter. In this paper, the author proposes an SEI method based on ensemble neural networks (ENN) and signal graphs, with the ...
Chenjie Xing +4 more
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Reflection-Like Maps in High-Dimensional Euclidean Space
Mathematics, 2020 In this paper, we introduce reflection-like maps in n-dimensional Euclidean spaces, which are affinely conjugated to θ : ( x 1 , x 2 , … , x n ) → 1 x 1 , x 2 x 1 , … , x n x 1 .
Zhiyong Huang, Baokui Li
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On Coverings of Ellipsoids in Euclidean Spaces [PDF]
IEEE Transactions on Information Theory, 2004 The thinnest coverings of ellipsoids are studied in the Euclidean spaces of an arbitrary dimension n. Given any ellipsoid, the main goal is to find its /spl epsiv/-entropy, which is the logarithm of the minimum number of the balls of radius /spl epsiv/ needed to cover this ellipsoid.
Ilya Dumer +2 more
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Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]
E3S Web of ConferencesThe article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective ...
Artikbaev A., Mamadaliyev B.M.
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