Results 51 to 60 of about 399,425 (214)
, 2000 In this country, the typical high school graduate has had at least some exposure to Euclidean geometry, but most lay-people are not aware that any other geometries exist.
Ross, Skyler W.
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On the Hilbert Geometry of Convex Polytopes [PDF]
In Handbook of Hilbert Geometry, IRMA Lectures in Mathematics and
Theoretical Physics Vol. 22, pp. 111-125, 2014, 2014 We survey the Hilbert geometry of convex polytopes. In particular we present two important characterisations of these geometries, the first one in terms of the volume growth of their metric balls, the second one as a bi-lipschitz class of the simplexe's geometry.
arxiv +1 more source
Conventionalism in Reid’s ‘Geometry of Visibles’ [PDF]
, 2003 The role of conventions in the formulation of Thomas Reid’s theory of the geometry of vision, which he calls the “geometry of visibles”, is the subject of this investigation. In particular, we will examine the work of N. Daniels and R.
Slowik, Edward
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Hyperkähler geometry of rational curves in twistor spaces [PDF]
arXiv, 2021 We investigate the pseudo-hyperk\"ahler geometry of higher degree rational curves in the twistor space of a hyperk\"ahler $4$-manifold.
arxiv
Urban Geography Compression Patterns: Non-Euclidean and Fractal Viewpoints
AppliedMathThe intersection of fractals, non-Euclidean geometry, spatial autocorrelation, and urban structure offers valuable theoretical and practical application insights, which echoes the overarching goal of this paper.
Daniel A. Griffith +1 more
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Euclidean Supersymmetry, Twisting and Topological Sigma Models
, 2008 We discuss two dimensional N-extended supersymmetry in Euclidean signature and its R-symmetry. For N=2, the R-symmetry is SO(2)\times SO(1,1), so that only an A-twist is possible.
C.M Hull +8 more
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Topological hyperbolic lattices
, 2020 Non-Euclidean geometry, discovered by negating Euclid's parallel postulate, has been of considerable interest in mathematics and related fields for the description of geographical coordinates, Internet infrastructures, and the general theory of ...
Park, Namkyoo, Piao, Xianji, Yu, Sunkyu
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Learners’ algebraic and geometric connections when solving Euclidean geometry riders
PythagorasIn this article, we explored Grade 11 learners’ algebraic and geometric connections when solving Euclidean geometry riders. A qualitative interpretive case study design was followed.
Hans Bila, Kgaladi Maphutha, Paul Mutodi
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Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry [PDF]
, 2012 We prove a general result about the geometry of holomorphic line bundles over Kahler manifolds.
arxiv +1 more source
Analyticity and unitarity for cosmological correlators
Journal of High Energy Physics, 2022 We study the fundamentals of quantum field theory on a rigid de Sitter space. We show that the perturbative expansion of late-time correlation functions to all orders can be equivalently generated by a non-unitary Lagrangian on a Euclidean AdS geometry ...
Lorenzo Di Pietro +2 more
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