Results 31 to 40 of about 993,357 (293)
Open Mathematics, 2018 In this paper, by the Orlicz-Minkowski combinations of convex bodies, we define the general Orlicz difference bodies and study their properties. Furthermore, we obtain the extreme values of the general Orlicz difference bodies and their polars.
Shi Wei, Wang Weidong, Ma Tongyi
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Upper bounds for packings of spheres of several radii
Forum of Mathematics, Sigma, 2014 We give theorems that can be used to upper bound the densities of packings of different spherical caps in the unit sphere and of translates of different convex bodies in Euclidean space. These theorems extend the linear programming bounds for packings of
DAVID DE LAAT +2 more
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, 2022 In this paper we introduce and study a topological abelian group of convex bodies, analogous to the scissors congruence group and McMullen's polytope algebra, with the universal property that continuous valuations on convex bodies correspond to ...
Hepworth, Richard
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Frictional effect of spherical convex textured rigid bodies sliding on smooth PDMS [PDF]
E3S Web of Conferences, 2020 Surface texturing was applied to flexible friction couples to improve their tribological behavior. Spherical convex texture was fabricated on the surface of photosensitive resin by stereolithography (SLA), the friction coefficient between the textured ...
Zhang Zixin, Chu Zhuangzhuang, Zhu Xuli
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Random polytopes in smooth convex bodies [PDF]
, 2004 There is an error in the proof of Theorem 2 of my paper [1]. It appears on; age 91, lines 10 and 11: the application of the affine transformation T changes he measure on the Grassmannian G(d, d-i) which is not taken into account.
Barany, I
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Investigating the Low‐Temperature Phase Stability of the Binary Ta–W System
Advanced Engineering Materials, EarlyView.Atomistic simulations show that the binary Ta–W system forms ordered intermetallic phases, B2‐TaW and D03‐TaW3, as 0 K ground states. Configurational entropy, however, lowers the free energy of the disordered bcc solid solution, which becomes the stable phase above about 400 K.
Klemens Lechner +7 more
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Geometric properties of the family of p-parallel bodies
Analysis and Geometry in Metric SpacesWe study geometric properties of the family of p-parallel bodies of a convex body K with respect to a gauge body E. In particular, we investigate various regularity properties of their boundaries by means of their 0-extreme vectors, aiming for extensions
Hernández Cifre María A. +2 more
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A parallel Discrete Element Method to model collisions between non-convex particles
EPJ Web of Conferences, 2017 In many dry granular and suspension flow configurations, particles can be highly non-spherical. It is now well established in the literature that particle shape affects the flow dynamics or the microstructure of the particles assembly in assorted ways as
Rakotonirina Andriarimina Daniel +2 more
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Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems
Journal of Inequalities and Applications, 2020 In this paper, we show the existence of a solution to an even logarithmic Minkowski problem for p-capacity and prove some analogue inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies involving p-capacity.
Lewen Ji
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Local Stereology of Tensors of Convex Bodies [PDF]
, 2014 In this paper, we present local stereological estimators of Minkowski tensors defined on convex bodies in ℝ d . Special cases cover a number of well-known local stereological estimators of volume and surface area in ℝ3, but the general set-up also ...
Jensen, Eva B. Vedel, Ziegel, Johanna F.
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