Results 21 to 30 of about 25,799 (301)
Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
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Substantia, 2022 The comprehension of form generally assumes a euclidean three-dimensional perspective. I argue here that non-euclidean geometry has much to offer in understanding structures of atomic crystals, molecular liquid crystals and related mesoporous inorganic
Stephen Hyde
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Interpretations of Euclidean Geometry [PDF]
Transactions of the American Mathematical Society, 1990 Following Tarski, we view n n -dimensional Euclidean geometry as a first-order theory
openaire +1 more source
On Angular Measures in Axiomatic Euclidean Planar Geometry
Measurement Science Review, 2022 We address the issue of angular measure, which is a contested issue for the International System of Units (SI). We provide a mathematically rigorous and axiomatic presentation of angular measure that leads to the traditional way of measuring a plane ...
Grötschel Martin +3 more
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Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
, 2003 It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
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NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries [PDF]
Neutrosophic Sets and Systems, 2021 In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Florentin Smarandache
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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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Linear Isometries on Pseudo-Euclidean Space [PDF]
, 2012 In this paper, we characterize curvature of s-line, particularly, Smarandachely embedded graphs and determine linear isometries on (Rn, μ)
Mao, Linfan, Linfan Mao
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