Results 1 to 10 of about 325,035 (334)
Measuring order in the isotropic packing of elastic rods [PDF]
EPL (Europhysics Letters), 2011 The packing of elastic bodies has emerged as a paradigm for the study of macroscopic disordered systems. However, progress is hampered by the lack of controlled experiments.
Adda-Bedia, M. +4 more
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On packing measures and a theorem of Besicovitch [PDF]
Proceedings of the American Mathematical Society, 2014 Let H h \mathcal {H}^h be the h h -dimensional Hausdorff measure on R d \mathbb {R}^d . Besicovitch showed that if a set E E is null for H h \mathcal {H}^h , then it
Ignacio García +2 more
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Packing and Hausdorff measures of stable trees [PDF]
, 2010 In this paper we discuss Hausdorff and packing measures of random continuous trees called stable trees. Stable trees form a specific class of L\'evy trees (introduced by Le Gall and Le Jan in 1998) that contains Aldous's continuum random tree (1991 ...
A Berlinkov +35 more
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On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
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On the vectorial multifractal analysis in a metric space
AIMS Mathematics, 2023 Multifractal analysis is typically used to describe objects possessing some type of scale invariance. During the last few decades, multifractal analysis has shown results of outstanding significance in theory and applications. In particular, it is widely
Najmeddine Attia, Amal Mahjoub
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Packing dimensions of basins generated by distributions on a finite alphabet
Журнал Белорусского государственного университета: Математика, информатика, 2021 We consider a space of infinite signals composed of letters from a finite alphabet. Each signal generates a sequence of empirical measures on the alphabet and the limit set corresponding to this sequence.
Victor I. Bakhtin, Bruno Sadok
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Nuclear Engineering and Technology, 2021 A valve assembly used in nuclear power plants must be qualified and supervised. New technical standards such as ASME QME-1 2007 particularly require detailed qualification using experiment and analysis.
Jaehyung Kim, Taemook Lim, Ho-Geun Ryu
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Different types of multifractal measures in separable metric spaces and their applications
AIMS Mathematics, 2023 The properties of various fractal and multifractal measures and dimensions have been under extensive study in the real-line and higher-dimensional Euclidean spaces.
Najmeddine Attia, Bilel Selmi
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Too packed to change: side-chain packing and site-specific substitution rates in protein evolution [PDF]
PeerJ, 2015 In protein evolution, due to functional and biophysical constraints, the rates of amino acid substitution differ from site to site. Among the best predictors of site-specific rates are solvent accessibility and packing density.
María Laura Marcos, Julian Echave
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On the packing measure of the Sierpinski gasket [PDF]
Nonlinearity, 2018 We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/(log2)) is the similarity dimension of S, satisfies 1.6677≤P^{s}(S)≤1.6713. We present a formula (see Theorem 6) that enables the achievement of the above measure bounds for this non-totally disconnected set as it shows that the symmetries of the ...
LLorente Comí, Marta +2 more
openaire +3 more sources