Results 1 to 10 of about 930 (251)
Prediction of the aggregation rate of nanoparticles in porous media in the diffusion-controlled regime [PDF]
Scientific ReportsThe fate and aggregation of nanoparticles (NPs) in the subsurface are important due to potentially harmful impacts on the environment and human health. This study aims to investigate the effects of flow velocity, particle size, and particle concentration
Vi T. Nguyen +2 more
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The neuroanatomical organization of the hypothalamus is driven by spatial and topological efficiency [PDF]
Frontiers in Systems NeuroscienceThe hypothalamus in the mammalian brain is responsible for regulating functions associated with survival and reproduction representing a complex set of highly interconnected, yet anatomically and functionally distinct, sub-regions.
Nathan R. Smith +7 more
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An average model for disordered sphere packings [PDF]
EPJ Web of Conferences, 2021 In this paper, an assembly of disordered packings is considered as a suitable set of packing cells of ordered spheres. In consequence, any of its parameters can be obtained by averaging the values of the set.
Yanqui Calixtro
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Finite Packings of Spheres [PDF]
Discrete & Computational Geometry, 1998 A finite set \(C\) in the \(d\)-dimensional Euclidean space \({\mathbf E}^d\) is called a finite sphere packing if for every \(x,y \in C\) we have \(| x-y| \geq 2\). The density of \(C\) is defined by \[ \delta(C)=\frac{| C| k_d}{V( \text{conv}(C)+B^d)}, \] where \(B^d\) is the \(d\)-dimensional unit ball, \(V(P)\) is the volume of \(P\), and \(k_d=V(B^
Ulrich Betke, Martin Henk
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Packings of deformable spheres [PDF]
Physical Review E, 2011 We present an experimental study of disordered packings of deformable spheres. Fluorescent hydrogel spheres immersed in water together with a tomography technique enabled the imaging of the three-dimensional arrangement. The mechanical behavior of single spheres subjected to compression is first examined. Then the properties of packings of a randomized
Mukhopadhyay, Shomeek, Peixinho, Jorge
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Constructions of Dense Lattices over Number Fields
Trends in Computational and Applied Mathematics, 2020 In this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2,3,4,5,6,8 and 12, which are rotated versions of the lattices Lambda_n, for n =2,3,4,5,6,8 and K_12.
Antonio A. Andrade +3 more
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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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Discrete & Computational Geometry, 1997 60 pages. First of two older papers in the series on the proof of the Kepler conjecture. See math.MG/9811071.
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Discrete & Computational Geometry, 1997 18 pages. Second of two older papers in the series on the proof of the Kepler conjecture. See math.MG/9811071.
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SPATIAL STATISTICS FOR SIMULATED PACKINGS OF SPHERES
Image Analysis and Stereology, 2011 This paper reports on spatial-statistical analyses for simulated random packings of spheres with random diameters. The simulation methods are the force-biased algorithm and the Jodrey-Tory sedimentation algorithm.
Alexander Bezrukov +2 more
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