Results 61 to 70 of about 20,938 (205)
Worker exposure to ultrafine particles during carbon black treatment
Medycyna Pracy, 2015 Background: The aim of the project was to assess the exposure of workers to ultrafine particles released during handling and packing of carbon black.
Urszula Mikołajczyk +2 more
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, 2008 During the past 10 years multifractal analysis has received an enormous interest. For a sequence (phi(n))(n) of functions phi(n) : X -> M on a metric space X, multifractal analysis refers to the study of the Hausdorff and/or packing dimension of the ...
Olsen, Lars Ole Ronnow
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On symplectic packing problems in higher dimensions
Mathematische AnnalenAbstract Let $$B^{2n}(R)$$ denote the closed 2n-dimensional symplectic ball of area R, and let $$\Sigma _g(L)$$ be a closed symplectic surface of genus g and area L. We prove that there is a symplectic embedding $$\bigsqcup \nolimits _{i=1}^k B^4(R_i) \times \Sigma _g (L) \
Kyler Siegel, Yuan Yao
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The Third Dimension of the Magdouh Mosaic in Antioch
Journal of Mosaic Research, 2019 This study investigates the complex geometry of the pattern of circles in the Magdouh Mosaic, which dates to between the ffth and sixth centuries, found in Antioch-on-the-Orontes (modern Antakya, Turkey). The mosaic has a complex pattern that is composed
Hakan HİSARLIGİL +1 more
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On the packing dimension of Furstenberg sets
Journal d'Analyse Mathématique, 2022 We prove that if $α\in (0,1/2]$, then the packing dimension of a set $E\subset\mathbb{R}^2$ for which there exists a set of lines of dimension $1$ intersecting $E$ in dimension $\ge α$ is at least $1/2+α+c(α)$ for some $c(α)>0$. In particular, this holds for $α$-Furstenberg sets, that is, sets having intersection of Hausdorff dimension $\geα$ with ...
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A Preview of a Construction of a Crystal Lattice Based on Intermolecular Interactions
Crystals, 2019 A general procedure of crystal packing reconstruction using a certain number of intermolecular interactions is introduced and demonstrated on the crystal structure of l-histidine·HCl·H2O.
Vladimír Hejtmánek +2 more
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Dimension and measure theory of self-similar structures with no separation condition
, 2015 We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any separation condition.
Farkas, Ábel
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Packing and Cutting Stone Blocks Based on the Nonlinear Programming of Tree Cases
ComputationTypically, dimension stones, commonly called stone blocks, are cut into multiple small cuboid stones so that multiple sculptures can be produced. To use the stone block as efficiently as possible, it is essential to pack these small cuboids in each stone
Taeyong Kim
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DIMENSION INEQUALITIES OF MULTIFRACTAL HAUSDORFF MEASURES AND MULTIFRACTAL PACKING MEASURES
, 2000 Let µ be a Borel probability measure on Rd. We study the Hausdorff dimension and the packing dimension of the multifractal Hausdorff measurehq;t and the multifractal packing measure p q;t introduced in [L.
L. Olsen
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Sphere Packings in 212 Dimensions
AxiomsThis paper investigates cylindrical sphere packings, that is, patterns of uniform spheres with mutually disjoint interiors which are all tangent to a common cylinder. The key unifying themes are the existence and uniqueness of hexagonal packings, in which each sphere is tangent to six others.
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