Results 1 to 10 of about 16,101 (157)
Experience of Euclidean geometry sculpts the development and dynamics of rodent hippocampal sequential cell assemblies [PDF]
Nature CommunicationsEuclidean space is the fabric of the world we live in. Whether and how geometric experience shapes our spatial-temporal representations of the world remained unknown.
Usman Farooq, George Dragoi
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Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures [PDF]
Machine Learning: Science and TechnologyThe enduring legacy of Euclidean geometry underpins classical machine learning, which, for decades, has been primarily developed for data lying in Euclidean space.
Mathilde Papillon +10 more
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Conical Perspective and Fractal Theory:A Comparative and Contrastive Approach [PDF]
Anastasis: Research in Medieval Culture and Art, 2022 This paper explores a possible connection between Euclidean geometry, which lies at the basis of conical perspective, and fractal geometry, which could, in turn, generate a new system of spatial representation in art. Founded by Renaissance theorists and
Daniel Sofron
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An Algebraic Approach to Neutrosophic Euclidean Geometry [PDF]
Neutrosophic Sets and Systems, 2021 The objective of this paper is to present a general definition of Neutrosophic Euclidean geometry. The mechanism of comparison between neutrosophic numbers is introduced, as well as the absolute value is extended to the neutrosophical case.
Mohammad Abobala, Ahmad Hatip
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Edumatika, 2021 Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry.
Khathibul Umam Zaid Nugroho +2 more
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The Hybridization of Practical and Theoretical Geometry in the Sixteenth-Century Euclidean Tradition
Journal of Interdisciplinary History of Ideas, 2023 This article aims to show how, in the sixteenth century, Euclidean geometry, which was regarded as the epitome of theoretical geometry in the middle ages and in the Renaissance, was to take up, within certain printed commentaries and translations of ...
Angela Axworthy
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THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 Throughout history the link between geometry and architecture has been strong and while architects have used mathematics to construct their buildings, geometry has always been the essential tool allowing them to choose spatial shapes which are ...
T. Bellone, F. Fiermonte, L. Mussio
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Spacetime and Euclidean geometry [PDF]
General Relativity and Gravitation, 2006 11 pages, 9 figures; for a festschrift honoring Michael P.
Brill, Dieter, Jacobson, Ted
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Geodesic motion in Euclidean Schwarzschild geometry
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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METHODOLOGICAL APPROACH TO CONGRUENCE OF QUADRILATERALS IN HYPERBOLIC GEOMETRY
Facta Universitatis. Series, Teaching, Learning and Teacher Education, 2021 In this paper we will prove new criteria for the congruence of convex quadrilaterals in Hyperbolic geometry and consequently, display the appropriate methodological approach in teaching the same.
Milan Zlatanović, Victor Aguilar
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