Results 21 to 30 of about 211,113 (260)
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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Designing digital technologies and learning activities for different geometries [PDF]
, 2009 This chapter focuses on digital technologies and geometry education, a combination of topics that provides a suitable avenue for analysing closely the issues and challenges involved in designing and utilizing digital technologies for learning mathematics.
Jones, Keith +2 more
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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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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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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
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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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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On Geodesic Triangles in Non-Euclidean Geometry
FoundationsIn this paper, we study centroids, orthocenters, circumcenters, and incenters of geodesic triangles in non-Euclidean geometry, and we discuss the existence of the Euler line in this context.
Antonella Nannicini, Donato Pertici
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From Free Fields to AdS -- Thermal Case
, 2005 We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in hep-th/0308184 hep-th/0402063 hep-th/0409233 hep-th/0504229 in the case of Euclidean thermal field theory and study how the dual bulk geometry is ...
C. Itzykson +12 more
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