Results 21 to 30 of about 70,207 (165)
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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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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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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On geometry on a two-dimensional plane in a five-dimensional pseudo-Euclidean space of index two [PDF]
E3S Web of ConferencesThe 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 +2 more
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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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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 +3 more
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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
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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
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Orthogonal embeddings of graphs in Euclidean space
Electronic Journal of Graph Theory and Applications, 2019 Let G = (V, E) be a simple connected graph. An injective function f : V → Rn is called an n-dimensional (or n-D) orthogonal labeling of G if uv, uw ∈ E implies that (f(v) − f(u)) ⋅ (f(w) − f(u)) = 0, where ⋅ is the usual dot product in Euclidean space.
Wai Chee Shiu, Richard M. Low
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On Complete Locally Euclidean Spaces [PDF]
Proceedings of the American Mathematical Society, 1968 In [4] this result was proved by using Theorem 3 of [I]. We now give a new proof, independent of the results of [I]. The present proof has the advantage of being constructive, i.e. we actually show how to construct a certain subgroup of 7r which is required in the proof of Theorem A.
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