Comparison of Perichondrium Reinforcement and the Use of a Cartilage-Perichondrium Composite Graft Alone in the Repair of Subtotal Perforation: A Semi-Random Study. [PDF]
Pan H, Zhang S.
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A Conceptual Framework for the Crystallizability of Organic Compounds. [PDF]
van de Streek J +13 more
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Pork carcass fabrication economics: drivers of profitability and an explanation of costing models. [PDF]
Bohrer BM.
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Numerical Investigation of Fluid Flow Through Glass Sphere Packed Bed Representative of High-Porosity Permeable Concrete. [PDF]
Abbaszadeh M, Christou M, Kia A.
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Correction for Spirandelli et al., Exotic self-assembly of hard spheres in a morphometric solvent. [PDF]
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Packing measures, packing dimensions, and the existence of sets of positive finite measure
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Some Relations Between Packing Premeasure and Packing Measure
Bulletin of the London Mathematical Society, 1999Summary: Let \(K\) be a compact subset of \(\mathbb{R}^n\), \(0\leq s\leq n\). Let \(P^s_0\), \({\mathcal P}^s\) denote \(s\)-dimensional packing premeasure and measure, respectively. We discuss in this paper the relation between \(P^s_0\) and \({\mathcal P}^s\). We prove: if \(P^s_0(K)< \infty\), then \({\mathcal P}^s(K)= P^s_0(K)\); and if \(P^s_0(K)=
Feng, De-Jun, Hua, Su, Wen, Zhi-Ying
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Hausdorff and packing measure for solenoids
Ergodic Theory and Dynamical Systems, 2003Summary: We prove that the solenoid with two different contraction coefficients has zero Hausdorff and positive packing measure in its own dimension and the SBR measure is equivalent to the packing measure on the attractor. Further, we prove similar statements for Slanting Baker maps with intersecting cylinders (in \(\mathbb{R}^{2}\)).
Rams, Michał, Simon, Károly
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A Packing Problem for Measurable Sets
Canadian Journal of Mathematics, 1967Given a probability measure space (Ω,,P)consider the followingpacking problem.What is the maximum number,b(K,Λ), of sets which may be chosen fromso that each set has measureKand no two sets have intersection of measure larger than Λ <K?In this paper the packing problem is solved for any non-atomic probability measure space. Rather than obtaining the
Sankoff, D., Dawson, D. A.
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Packing Measure Analysis of Harmonic Measure
Journal of the London Mathematical Society, 1995We prove a conjecture of James Taylor that for any simply connected domain \(\Omega \subset R^2\) there is a subset \(E \subset \partial \Omega\) of full harmonic measure such that \(E\) has packing dimension 1. The results of Markov ensure that there exists a subset \(E\) of full harmonic measure with Hausdorff dimension 1.
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