Results 81 to 90 of about 20,938 (205)
Acta Crystallographica Section E, 2009 The weak electrostatic and dispersive forces between C(δ+)—F(δ−) and H(δ+)—C(δ−) are at the borderline of the hydrogen-bond phenomenon and are poorly directional and further ...
Michael T. Kirchner +4 more
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Random packing in three dimensions
, 2023 Abstract Unraveling the complexities of random packing in three dimensions has long puzzled physicists. While both experiments and simulations consistently show a maximum density of 64 percent for tightly packed random spheres, we still lack an unambiguous and universally accepted definition of random packing.
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On the projections of the multifractal packing dimension for $$q>1$$ [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2019 The aim of this article is to study the behaviour of the multifractal packing function $B_μ(q)$ under projections in Euclidean space for $q>1$. We show that $B_μ(q)$ is preserved under almost every orthogonal projection. As an application, we study the multifractal analysis of the projections of a measure.
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Tension modeling of package binding belts in cargo spacecraft
MATEC Web of Conferences, 2018 At the site of cargo package binding in cargo spacecraft, the binding belt tension is loaded with a ratchet device. It is determined by experience of operators, therefore it’s difficult to quantify the force and the reliability of the binding belt is low.
Yuan Weifeng, Dai Hailin, Du Ruizhao
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Residual Multiparticle Entropy for a Fractal Fluid of Hard Spheres
Entropy, 2018 The residual multiparticle entropy (RMPE) of a fluid is defined as the difference, Δs, between the excess entropy per particle (relative to an ideal gas with the same temperature and density), sex, and the pair-correlation contribution, s2.
Andrés Santos +2 more
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Packing and covering in higher dimensions
, 2022 The present work surveys problems in $n$-dimensional space with $n$ large. Early development in the study of packing and covering in high dimensions was motivated by the geometry of numbers. Subsequent results, such as the discovery of the Leech lattice and the linear programming bound, which culminated in the recent solution of the sphere packing ...
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Complex continued fractions with restricted entries
Electronic Journal of Differential Equations, 1998 We study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by $h$. Our primary goal is to
Pawel Hanus, Mariusz Urbanski
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Multifractal Structure of Irregular Sets via Weighted Random Sequences
Fractal and FractionalWe study the multifractal structure of irregular sets arising from Fibonacci-weighted sums of sequences of random variables. Focusing on Cantor-type subsets Kε of the unit interval, we construct sequences of free and forced blocks, where the free blocks ...
Najmeddine Attia, Taoufik Moulahi
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The geometry of self-affine fractals
, 2008 In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
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The residual set dimension of a generalized apollonian packing
Geometriae DedicataWe view space-filling circle packings as subsets of the boundary of hyperbolic space subject to symmetry conditions based on a discrete group of isometries. This allows for the application of counting methods which admit rigorous upper and lower bounds on the Hausdorff dimension of the residual set of a generalized Apollonian circle packing.
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