Results 21 to 30 of about 20,938 (205)
Effective Packing Dimension and Traceability
Notre Dame Journal of Formal Logic, 2010 We study the Turing degrees which contain a real of effective packing dimension one. Downey and Greenberg showed that a c.e. degree has effective packing dimension one if and only if it is not c.e. traceable. In this paper, we show that this characterization fails in general.
Rod Downey, Keng Meng Ng
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Symplectic Packing in Dimension 4 [PDF]
Geometric And Functional Analysis, 1997 We discuss closed symplectic 4-manifolds which admit full symplectic packings by $N$ equal balls for large $N$'s. We give a homological criterion for recognizing such manifolds. As a corollary we prove that ${\Bbb C}P^2$ can be fully packed by $N$ equal balls for every $N\geq 9$.
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Packing dimension profiles and Lévy processes [PDF]
Bulletin of the London Mathematical Society, 2012 We extend the concept of packing dimension profiles, due to Falconer and Howroyd (1997) and Howroyd (2001), and use our extension in order to determine the packing dimension of an arbitrary image of a general Levy process.
Khoshnevisan, Davar +2 more
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Randomness extraction and asymptotic Hamming distance [PDF]
Logical Methods in Computer Science, 2013 We obtain a non-implication result in the Medvedev degrees by studying sequences that are close to Martin-L\"of random in asymptotic Hamming distance. Our result is that the class of stochastically bi-immune sets is not Medvedev reducible to the class of
Cameron E. Freer, Bjoern Kjos-Hanssen
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Patterns formed by chains of magnetic beads [PDF]
EPJ Web of Conferences, 2021 Magnetic beads attract each other forming rather stable chains. We consider such chains formed by magnetic beads and push them into a Hele-Shaw cell either from the boundary or from the center.
Borges Danilo S. +4 more
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Generating dense packings of hard spheres by soft interaction design
SciPost Physics, 2018 Packing spheres efficiently in large dimension $d$ is a particularly difficult optimization problem. In this paper we add an isotropic interaction potential to the pure hard-core repulsion, and show that one can tune it in order to maximize a lower ...
Thibaud Maimbourg, Mauro Sellitto, Guilhem Semerjian, Francesco Zamponi
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Сучасні інформаційні системи, 2019 The subject matter of the paper is the problem of optimal packing of spheres of different dimension into a container of arbitrary geometric shape. The goal is to construct a mathematical model which associates different statements of the problem.
Georgiy Yaskov, Sergiy Shekhovtsov
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Geofluids, 2021 This paper explores the development laws of the fluidity, compressive strength, and autogenous shrinkage of ultrahigh performance cement (UHPC) mixed with limestone powder (LP) and highly active ground slag powder (SP).
Menghui Yang +4 more
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On the Densest Packing of Polycylinders in Any Dimension [PDF]
Discrete & Computational Geometry, 2016 Edited to reflect acknowledgements in the published ...
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Some typical properties of dimensions of sets and measures
Abstract and Applied Analysis, 2005 This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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