Results 51 to 60 of about 44,177 (192)
Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families
Journal of Applied Mathematics, 2016 Two-dimensional steepest descent curves (SDC) for a quasiconvex family are considered; the problem of their extensions (with constraints) outside of a convex body K is studied.
Marco Longinetti +2 more
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Applied Mathematics Letters, 2001 AbstractThe convex floating body of a polytope is constructed and parametric variation of its volume and surface area functionals are illustrated through example.
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Reduced spherical convex bodies [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2018 The aim of this paper is to present some properties of reduced spherical convex bodies on the two-dimensional sphere $S^2$. The intersection of two different non-opposite hemispheres is called a lune. By its thickness we mean the distance of the centers of the two semicircles bounding it.
Michał Musielak, Marek Lassak
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On convex bodies of constant width
Topology and its Applications, 2006 6 ...
Michael Zarichnyi, Lidia Bazylevych
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On the Lassak Conjecture for a Convex Body
Моделирование и анализ информационных систем, 2011 In 1993 M. Lassak formulated (in the equivalent form) the following conjecture. If we can inscribe a translate of the cube $[0,1]^n$ into a convex body $C \subset R^n$, then $\sum_{i=1}^n \frac{1}{\omega_i} \geq 1$. Here $\omega_i$ denotes the width of $
M. V. Nevskii
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On convex class of pairs of convex bodies [PDF]
Proceedings of the American Mathematical Society, 1997 In this paper we introduce a quotient class of pairs of convex bodies in which every member have convex union. The space of pairs of convex bodies has been investigated in a number of papers [3], [8], [9], and [12]. This space has found an application in quasidifferential calculus (cf. [1], [5], [7], [10]).
Ryszard Urbański, Jerzy Grzybowski
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Symmetry breaking and the geometry of reduced density matrices
New Journal of Physics, 2016 The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. We demonstrate that the existence of symmetry breaking is a consequence of the geometric structure of the ...
V Zauner +4 more
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Covering functionals of cones and double cones
Journal of Inequalities and Applications, 2018 The least positive number γ such that a convex body K can be covered by m translates of γK is called the covering functional of K (with respect to m), and it is denoted by Γm(K) $\Gamma_{m}(K)$.
Senlin Wu, Ke Xu
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Minimum convex partitions and maximum empty polytopes
Journal of Computational Geometry, 2014 Let S be a set of n points in Rd. A Steiner convex partition is a tiling of conv(S) with empty convex bodies. For every integer d, we show that S admits a Steiner convex partition with at most ⌈(n-1)/d⌉ tiles.
Adrian Dumitrescu +2 more
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Inequalities for the Difference Body of a Convex Body [PDF]
Proceedings of the American Mathematical Society, 1967 In the following, S will denote the boundary of the unit ball in En, and u a variable point of S (so u is a unit vector, or "direction"). The polar equation of the boundary of DK is given by p=p(u), uCS, so p(u) is the radius of DK in the direction u.
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