Results 21 to 30 of about 213,055 (273)
Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions [PDF]
, 2015 In this paper we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated with the Heisenberg, Grushin, and Martinet distributions.
Barilari, Davide +3 more
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Studying the status of fractal geometry in art and its appearance in artwork [PDF]
پیکره, 2015 Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry.
Mahtab Mobini, Nooshin Fatholahi
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Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects
Universe, 2018 Space out of a topological defect of the Abrikosov–Nielsen–Olesen (ANO) vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects are induced in the vacuum.
Yurii A. Sitenko +1 more
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On The Investigating Cycle Properties In The Galilean Plane G^2
Eurasian Journal of Science and Engineering, 2023 The introduction of the Galilean plane within the affine plane parallels the familiar concepts of the Euclidean plane, extending the realm of geometric exploration.
Abdullah Kurudirek
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The Relationship between Lines and Geometric Forms in Creating Metaphysical Understanding Based on Hegel's Ideas [PDF]
Journal of Philosophical InvestigationsThe natural or artificial environment consists of a series of lines, forms and volumes that create a feeling and mentality in humans that is felt with the five senses and sometimes leads to a specific metaphysical understanding of the environment; for ...
Ahmad Heidari
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Journal of High Energy Physics, 2020 We propose a Euclidean preparation of an asymptotically AdS2 spacetime that contains an inflating dS2 bubble. The setup can be embedded in a four dimensional theory with a Minkowski vacuum and a false vacuum.
Mehrdad Mirbabayi
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Nature, 1943 THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an abstract system, and that one particular form (due to Riemann) has more claim than Euclidean geometry to represent the properties of physical space.
openaire +1 more source
A generalisation of the fractional Brownian field based on non-Euclidean norms [PDF]
, 2015 We explore a generalisation of the L\'evy fractional Brownian field on the Euclidean space based on replacing the Euclidean norm with another norm. A characterisation result for admissible norms yields a complete description of all self-similar Gaussian ...
Molchanov, Ilya, Ralchenko, Kostiantyn
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A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument [PDF]
, 2018 We consider the classical "Serrin symmetry result" for the overdetermined boundary value problem related to the equation $\Delta u=-1$ in a model manifold of non-negative Ricci curvature. Using an extension of the Weinberger classical argument we prove a
Roncoroni, Alberto
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Poincaré and Cosmic Space: Curved or not?
Philosophia Scientiæ, 2023 By 1870, non-Euclidean geometry had been established as a mathematical research field but was yet to be considered relevant to the real space inhabited by stars and nebulae.
Helge Kragh
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