Results 1 to 10 of about 1,438,246 (328)
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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On the Geometry of No-Boundary Instantons in Loop Quantum Cosmology
Universe, 2019 We study the geometry of Euclidean instantons in loop quantum cosmology (LQC) such as those relevant for the no-boundary proposal. Confining ourselves to the simplest case of a cosmological constant in minisuperspace cosmologies, we analyze solutions of ...
Suddhasattwa Brahma, Dong-han Yeom
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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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Spacetime and Euclidean Geometry [PDF]
General Relativity and Gravitation, 2004 Using only the principle of relativity and Euclidean geometry we show in this pedagogical article that the square of proper time or length in a two-dimensional spacetime diagram is proportional to the Euclidean area of the corresponding causal domain. We
D.E. Liebscher +4 more
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Lattice-Based Generation of Euclidean Geometry Figures
Proceedings of the International Florida Artificial Intelligence Research Society ConferenceWe 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.
Jonathan Henning +6 more
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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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Visual outdoor space perception [PDF]
Scientific ReportsVisual space perception has been a topic of sustained research since the nineteenth century. Much of this research into the geometry of visual space, however, required observers to make judgments about spatial relationships between isolated points in ...
J. Farley Norman +6 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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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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