Results 31 to 40 of about 5,495,109 (374)
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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Network bipartitioning in the anti-communicability Euclidean space
AIMS Mathematics, 2021 We define the anti-communicability function for the nodes of a simple graph as the nondiagonal entries of exp (-A). We prove that it induces an embedding of the nodes into a Euclidean space.
Jesús Gómez-Gardeñes, Ernesto Estrada
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On the Decidability of Connectedness Constraints in 2D and 3D Euclidean Spaces [PDF]
, 2011 We investigate (quantifier-free) spatial constraint languages with equality, contact and connectedness predicates as well as Boolean operations on regions, interpreted over low-dimensional Euclidean spaces. We show that the complexity of reasoning varies
Kontchakov, Roman +3 more
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Evolutes and focal surfaces of framed immersions in the Euclidean space
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019 We consider a smooth curve with singular points in the Euclidean space. As a smooth curve with singular points, we have introduced a framed curve or a framed immersion. A framed immersion is a smooth curve with a moving frame and the pair is an immersion.
S. Honda, Masatomo Takahashi
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space
Turkish Journal of Mathematics, 2019 A Bertrand curve is a space curve whose principal normal line is the same as the principal normal line of another curve. On the other hand, a Mannheim curve is a space curve whose principal normal line is the same as the binormal line of another curve ...
S. Honda, Masatomo Takahashi
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Path Integrals on Euclidean Space Forms [PDF]
, 2015 In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
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Characterizations of Euclidean spheres
AIMS Mathematics, 2021 We use the tangential component $ \psi ^{T} $ of an immersion of a compact hypersurface of the Euclidean space $ \mathbf{E}^{m+1} $ in finding two characterizations of a sphere.
Sharief Deshmukh, Mohammed Guediri
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Using FastMap to Solve Graph Problems in a Euclidean Space
International Conference on Automated Planning and Scheduling, 2019 It is well known that many graph problems, like the Traveling Salesman Problem, are easier to solve in a Euclidean space. This motivates the idea of quickly preprocessing a given graph by embedding it in a Euclidean space to solve graph problems ...
Jiaoyang Li +3 more
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Sharp Sobolev type embeddings on the entire Euclidean space [PDF]
, 2017 A comprehensive approach to Sobolev-type embeddings, involving arbitrary rearrangement- invariant norms on the entire Euclidean space R^n, is offered. In particular, the optimal target space in any such embedding is exhibited.
A. Alberico +3 more
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