Results 31 to 40 of about 213,055 (273)
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
doaj +1 more source
Non-Euclidean cloaking for light waves [PDF]
Non-Euclidean geometry combined with transformation optics has recently led to the proposal of an invisibility cloak that avoids optical singularities and therefore can work, in principle, in a broad band of the spectrum [U. Leonhardt and T. Tyc, Science
Chan, Che Ting +3 more
core +2 more sources
On Geodesic Triangles in Non-Euclidean Geometry
In 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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After Non-Euclidean Geometry: Intuition, Truth and the Autonomy of Mathematics
The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry.
Janet Folina
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From Free Fields to AdS -- Thermal Case
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
core +5 more sources
Toth e il pensiero trans-euclideo in Aristotele (Toth and trans-euclidean thought in Aristotle)
For about 2000 years the postulate of parallels, enunciated by Euclid, was a source of doubts (postulate or theorem?) clarified with the birth of non-Euclidean geometry.
Nicola Umberto Animobono
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Lazy orbits: an optimization problem on the sphere
Non-transitive subgroups of the orthogonal group play an important role in the non-Euclidean geometry. If $G$ is a closed subgroup in the orthogonal group such that the orbit of a single Euclidean unit vector does not cover the (Euclidean) unit sphere ...
Vincze, Csaba
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Multimodal Data‐Driven Microstructure Characterization
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
An Overview of Existing Problems in Teaching the Science ”Fundamentals of Geometry”
This paper goes into the challenges faced in the teaching of geometry, emphasizing its foundational principles. It investigates an alternate viewpoint by relating geometric principles to verses from the Holy Quran, implying that geometric conceptions ...
Safarov Tulqin Nazarovich +1 more
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On the non-generic Tzitzeica-Johnson's Configuration
Working in the context of Hilbert's axiomatic system, we prove that the Tzitzeica-Johnson configuration has sense in neutral geometry. The elements of a Tzitzeica-Johnson configuration allow us to analyse the Euclidean or the non-Euclidean character of ...
Boskoff Wladimir G. +2 more
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