Results 31 to 40 of about 254,738 (273)
Equilibria of Plane Convex Bodies [PDF]
Journal of Nonlinear Science, 2021 AbstractWe obtain a formula for the number of horizontal equilibria of a planar convex body K with respect to a center of mass O in terms of the winding number of the evolute of $$\partial K$$ ∂ K with respect to O.
Jonas Allemann +2 more
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Banach–Mazur Distance Between Convex Quadrangles
Demonstratio Mathematica, 2014 It is proved that the Banach-Mazur distance between arbitrary two convex quadrangles is at most 2. The distance equals 2 if and only if the pair of these quadrangles is a parallelogram and a triangle.
Lassak Marek
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Correspondences between convex geometry and complex geometry [PDF]
Épijournal de Géométrie Algébrique, 2017 We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
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On Some Results in the Geometry of Convex Bodies and their Applications
Моделирование и анализ информационных систем, 2015 We give a survey of some results in the geometry of convex bodies and their applications.
M. V. Nevskii
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A parallel ADMM-based convex clustering method
EURASIP Journal on Advances in Signal Processing, 2022 Convex clustering has received recently an increased interest as a valuable method for unsupervised learning. Unlike conventional clustering methods such as k-means, its formulation corresponds to solving a convex optimization problem and hence ...
Lidija Fodor +3 more
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On the quermassintegrals of convex bodies [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, C, Cheung, WS
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Contacts in totally separable packings in the plane and in high dimensions
Journal of Computational Geometry, 2022 We study the contact structure of totally separable packings of translates of a convex body K in Rd, that is, packings where any two touching bodies have a separating hyperplane that does not intersect the interior of any translate in the packing.
Márton Naszódi, Konrad Swanepoel
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Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms [PDF]
, 2010 We propose strongly consistent algorithms for reconstructing the characteristic function 1_K of an unknown convex body K in R^n from possibly noisy measurements of the modulus of its Fourier transform \hat{1_K}.
Bianchi, Gabriele +2 more
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IEEE Access, 2023 To improve the performance of the rigid body localization (RBL) in the non-line-of-sight (NLOS) environment, this paper delves into a joint estimation method about the wireless signal transmission parameter and the attitude parameters of the rigid body ...
Pengwu Wan +3 more
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MATHEMATICA SCANDINAVICA, 1990 There are several ways to generalize the classical concept of affine surface area of a sufficiently smooth convex body \(K\) in \(\mathbb{R}^ n\) due to Blaschke to arbitrary convex bodies [see \textit{K. Leichtweiss}, Manuscr. Math. 56, 429-464 (1986; Zbl 0588.52011), \textit{E. Lutwak}, Adv. Math. 85, No. 1, 39-68 (1991; Zbl 0727.53016) and \textit{C.
Werner, Elisabeth, Schütt, Carsten
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