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The Packing Theorem and Packing Measure

Mathematische Nachrichten, 1990
AbstractFor a VITALI class of a metric space (X, d) a packing measure is introduced following the ideas of [7]. The Packing Theorem of VITALI is a powerful mean to derive density results for measures [1, 2, 3]. Conversely, the notion of packing measure allows us to give sufficient conditions for a measure that the packing theorem of VITALI hods.
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Measurement of Granular Material Packing

AIP Conference Proceedings, 2009
Granular material packing is of considerable importance when considering the stability and shear strength of granular media. It has been shown in various studies that the shear strength of granular media is influenced by inherent particle characteristics such as shape, angularity, surface texture and mineralogy. In this study, granular material packing
Michael Bloom   +7 more
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Some Measure-Theoretic Properties of Packing Measure

Periodica Mathematica Hungarica, 1998
This paper is an informal discussion of some fundamental measure-theoretic differences between the families of measures known as packing measures and Hausdorff measures. Two main issues of focus are, whether or not a set of infinite measure necessarily contains a subset of positive finite measure, and the question of Borel regularity.
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Packing Measure and Dimension of Random Fractals

Journal of Theoretical Probability, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berlinkov, Artemi, Mauldin, R. Daniel
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Radiography Measurements of Particle Packing

Nature, 1969
Measurements of particle packing by radiography have been analysed in terms of a general geometrical model.
J. R. F. ARTHUR, T. DUNSTAN
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Comparing Packing Measures to Hausdorff Measures on the Line

Mathematische Nachrichten, 2002
In this paper the author compare packing measures to Hausdorff measures on the line. The main result of this paper is as follows.
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Stress measurements in drifting pack ice

Cold Regions Science and Technology, 1992
Abstract Accurate measurements of in-situ pack ice forces are necessary to improve ice forecasting models and to estimate loads on offshore structures. Two months of in-situ ice stress measurements were obtained in the pack ice of the eastern Arctic during the fall of 1988.
Walter B. Tucker, Donald K. Perovich
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Packing density of cementitious materials: part 1—measurement using a wet packing method

Materials and Structures, 2007
The packing characteristics of the cementitious materials have great influence on the performance of a concrete mix, but there is so far no generally accepted method of measurement. Herein, a new method, called the wet packing method, is developed. It mixes the cementitious materials with water and then measures the apparent density and voids content ...
Wong, HHC, Kwan, AKH
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Packing dimension, intersection measures, and isometries

Mathematical Proceedings of the Cambridge Philosophical Society, 1997
Let \(\mu\) and \(\nu\) be Radon probability measures on \(\mathbb{R}^n\). If \(f:\mathbb{R}^n\to \mathbb{R}^n\) is some isometry then \(f_\#\nu\) denotes the image measure of \(\nu\) with respect to \(f\). The intersection measure \(\mu\cap f_\#\nu\) of \(\mu\) and \(f_\#\nu\) is defined as follows: Let \(f=\tau_z\circ g\) be the representation of \(f\
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Optically-measured and packed volume of lupine mitochondria

Archives of Biochemistry and Biophysics, 1960
Abstract Results are reported of experiments measuring the optical density, packed volume, swelling rates, and succinoxidase activity of lupine mitochondria under different osmotic conditions. The optically measured volume (1/O.D.) of mitochondria, with succinate and ATP added, varied inversely with osmolar concentration except for mitochondria ...
S I, HONDA, A M, MUENSTER
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