Results 21 to 30 of about 82,785 (291)
The Curve Shortening Flow in the Metric-Affine Plane
Mathematics, 2020 We investigated, for the first time, the curve shortening flow in the metric-affine plane and prove that under simple geometric condition (when the curvature of initial curve dominates the torsion term) it shrinks a closed convex curve to a “round point”
Vladimir Rovenski
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A simple method for estimating the Lorenz curve
Humanities & Social Sciences Communications, 2021 Given many popular functional forms for the Lorenz curve do not have a closed-form expression for the Gini index and no study has utilized the observed Gini index to estimate parameter(s) associated with the corresponding parametric functional form, a ...
Thitithep Sitthiyot, Kanyarat Holasut
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ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
Forum of Mathematics, Pi, 2020 A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. Meanders can be traced back to H.
VINCENT DELECROIX +3 more
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The Jordan curve theorem in the Khalimsky plane
Applied General Topology, 2008 The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact gets some specific properties to Z2, equipped with the Khalimsky topology.
Ezzeddine Bouassida
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Fukaya categories of surfaces, spherical objects and mapping class groups
Forum of Mathematics, Sigma, 2021 We prove that every spherical object in the derived Fukaya category of a closed surface of genus at least $2$ whose Chern character represents a nonzero Hochschild homology class is quasi-isomorphic to a simple closed curve equipped with a rank $1 ...
Denis Auroux, Ivan Smith
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Dimensional synthesis of mechanical linkages using artificial neural networks and Fourier descriptors [PDF]
Mechanical Sciences, 2015 Dimensional synthesis of mechanisms to trace given paths is an important problem with no exact solution. In this paper, the problem is divided into representation of curve shape and learning the relation between curve shape and mechanism dimensions ...
N. Khan, I. Ullah, M. Al-Grafi
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Compact connected components in relative character varieties of punctured spheres [PDF]
Épijournal de Géométrie Algébrique, 2021 We prove that some relative character varieties of the fundamental group of a punctured sphere into the Hermitian Lie groups $\mathrm{SU}(p,q)$ admit compact connected components.
Nicolas Tholozan, Jérémy Toulisse
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On continua which resemble simple closed curves [PDF]
Fundamenta Mathematicae, 1970 Howard H. Stratton
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Sextactic points on a simple closed curve [PDF]
Nagoya Mathematical Journal, 2002 AbstractWe give optimal lower bounds for the number of sextactic points on a simple closed curve in the real projective plane. Sextactic points are after inflection points the simplest projectively invariant singularities on such curves. Our method is axiomatic and can be applied in other situations.
Thorbergsson, Gudlaugur +1 more
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Homotopic curve shortening and the affine curve-shortening flow
Journal of Computational Geometry, 2021 We define and study a discrete process that generalizes the convex-layer decomposition of a planar point set. Our process, which we call \emph{homotopic curve shortening} (HCS), starts with a closed curve (which might self-intersect) in the presence of a
Sergey Avvakumov, Gabriel Nivasch
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