Results 31 to 40 of about 101,961 (306)
Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects
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
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]
The 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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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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International Journal of Mathematical Combinatorics, Vol.7A [PDF]
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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1. Non-Euclidean Geometry [PDF]
When I had the honour of being asked by the Council of the Royal Society to give the following address, I chose the subject partly because it had been brought under the notice of the fellows by my predecessor, Professor Kelland. His memoir was written comparatively early in the history of the subject; and he seems to have been but little acquainted ...
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Poincaré and Cosmic Space: Curved or not?
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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Geometric Reinforcement Learning for Robotic Manipulation
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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Non-Euclidean Geometry in Nature [PDF]
I describe the manifestation of the non-Euclidean geometry in the behavior of collective observables of some complex physical systems. Specifically, I consider the formation of equilibrium shapes of plants and statistics of sparse random graphs. For these systems I discuss the following interlinked questions: (i) the optimal embedding of plants leaves ...
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