Results 1 to 10 of about 182 (106)
Generalized Thomson problem in arbitrary dimensions and non-euclidean geometries [PDF]
Physica A: Statistical Mechanics and Its Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Josep Batle +2 more
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Geoclidean: Few-Shot Generalization in Euclidean Geometry
Advances in Neural Information Processing Systems 35, 2022 To appear at NeurIPS ...
Joy Hsu, Jiajun Wu 0001, Noah D. Goodman
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The geometry of generalized Cheeger–Gromoll metrics on the total space of transitive Euclidean Lie algebroids [PDF]
Journal of Geometry and Physics, 2019 Natural metrics (Sasaki metric, Cheeger-Gromoll metric, Kaluza-Klein metrics etc.. ) on the tangent bundle of a Riemannian manifold is a central topic in Riemannian geometry. Generalized Cheeger-Gromoll metrics is a family of natural metrics $h_{p,q}$ depending on two parameters with $p\in\mathbb{R}$ and $q\geq0$.
Boucetta, Mohamed, Essoufi, Hasna
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Automatic Exercise Generation in Euclidean Geometry [PDF]
, 2013 Automatic assessment has recently drawn the efforts of researchers in a number of fields. While most available approaches deal with the construction of question items that assess factual and conceptual knowledge, this paper presents a method and a tool for generating questions assessing procedural knowledge, in the form of simple proof problems in the ...
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Lattice-Based Generation of Euclidean Geometry Figures
The International FLAIRS Conference ProceedingsWe present a user-guided method to generate geometry figures appropriate for high school Euclidean geometry courses: a useful starting point for an intelligent tutoring system to provide meaningful, realistic figures for study. We first establish that a two-dimensional geometry figure can be represented abstractly using a complete, lattice we call a ...
Jonathan Henning +6 more
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NeutroGeometry & AntiGeometry are generalizations of the Non-Euclidean Geometries
, 2021 In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric field, by founding now the NeutroGeometry & AntiGeometry that include the Non-Euclidean Geometries as subclasses. In the second part, we recall the evolution from Paradoxism to Neutrosophy, then to NeutroAlgebra & AntiAlgebra, and afterwards to NeutroGeometry & ...
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Turkish Journal of Mathematics, 2013 Let M(n, p) be the group of all motions of an n-dimensional pseudo-Euclidean space of index p . It is proved that the complete system of M(n,p)-invariant differential rational functions of a path (curve) is a generating system of the differential field of all M(n, p)-invariant differential rational functions of a path (curve), respectively.
ÖMER PEKŞEN +2 more
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Euclidean geometry as algorithm for construction of generalized geometries
, 2005 It is shown that the generalized geometries may be obtained as a deformation of the proper Euclidean geometry. Algorithm of construction of any proposition S of the proper Euclidean geometry E may be described in terms of the Euclidean world function sigma_E in the form S(sigma_E).
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Earthquake aftershock networks generated on Euclidean spaces of different fractal geometry
, 2006 According to some recent analysis (M. Baiesi and M. Paczuski, Phys. Rev. E {\bf 69}, 066106, 2004 \cite{maya1}) of earthquake data, aftershock epicenters can be considered to represent the nodes of a network where the linking scheme depends on several factors. In the present paper a model network of earthquake aftershock epicenters is proposed based on
Hajra, Kamalika Basu, Sen, Parongama
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NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries
Neutrosophic Sets and Systems, 2021 In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
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