Results 11 to 20 of about 1,438,246 (328)
Geodesic motion in Euclidean Schwarzschild geometry [PDF]
European Physical Journal C: Particles and Fields, 2022 This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second ...
Emmanuele Battista, Giampiero Esposito
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From Euclidean Geometry to Knots and Nets [PDF]
Synthese, 2017 This document is the Accepted Manuscript of an article accepted for publication in Synthese. Under embargo until 19 September 2018. The final publication is available at Springer via https://doi.org/10.1007/s11229-017-1558-x.This paper assumes the ...
A Pelc +36 more
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Visual foundations of Euclidean geometry
Cognitive Psychology, 2021 Geometry defines entities that can be physically realized in space, and our knowledge of abstract geometry may therefore stem from our representations of the physical world. Here, we focus on Euclidean geometry, the geometry historically regarded as “natural”.
Véronique Izard +2 more
openaire +5 more sources
Geometric Algebras for Euclidean Geometry [PDF]
, 2016 The discussion of how to apply geometric algebra to euclidean $n$-space has been clouded by a number of conceptual misunderstandings which we first identify and resolve, based on a thorough review of crucial but largely forgotten themes from $19^{th ...
Gunn, Charles G.
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Non-Euclidean geometry in nature [PDF]
, 2017 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.
Nechaev, Sergei
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On Klein’s "So-called Non-Euclidean geometry" [PDF]
, 2015 In two papers titled "On the so-called non-Euclidean geometry", I and II, Felix Klein proposed a construction of the spaces of constant curvature -1, 0 and and 1 (that is, hyperbolic, Euclidean and spherical geometry) within the realm of projective ...
Norbert A’Campo, Athanase Papadopoulos
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Multi-fidelity covariance estimation in the log-Euclidean geometry [PDF]
International Conference on Machine Learning, 2023 We introduce a multi-fidelity estimator of covariance matrices that employs the log-Euclidean geometry of the symmetric positive-definite manifold.
A. Maurais +3 more
semanticscholar +1 more source
Geoclidean: Few-Shot Generalization in Euclidean Geometry [PDF]
Neural Information Processing Systems, 2022 Euclidean geometry is among the earliest forms of mathematical thinking. While the geometric primitives underlying its constructions, such as perfect lines and circles, do not often occur in the natural world, humans rarely struggle to perceive and ...
Joy Hsu, Jiajun Wu, Noah D. Goodman
semanticscholar +1 more source
Eurasia Journal of Mathematics, Science and Technology Education, 2023 Non-Euclidean geometry is an abstract subject and difficult to learn, but mandatory for students. The ethnomathematics approach as a learning approach to improve students’ spatial abilities.
Y. Sukestiyarno +3 more
semanticscholar +1 more source