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Sets of extended uniqueness and σporosity
 COMMENT.MATH.UNIV.CAROLIN. 38,2 (1997)337–341
, 1997
"... We show that there exists a closed nonσporous set of extended uniqueness. We also give a new proof of Lyons ’ theorem, which shows that the class of H(n)sets is not large in U0. ..."
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We show that there exists a closed nonσporous set of extended uniqueness. We also give a new proof of Lyons ’ theorem, which shows that the class of H(n)sets is not large in U0.
A Constant Of Porosity For Convex Bodies
"... It was proved recently that a Banach space fails the Mazur intersection property if and only if the family of all closed, convex and bounded subsets which are intersections of balls is uniformly very porous. This paper deals with the geometrical implications of this result. It is shown that every eq ..."
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equivalent norm on the space can be associated in a natural way with a constant of porosity, whose interplay with the geometry of the space is then investigated. Among other things, we prove that this constant is closely related to the set of "differentiability points of the space and the set of r
A CONSTANT OF POROSITY FOR CONVEX BODIES
"... Abstract. It was proved recently that a Banach space fails the Mazur intersection property if and only if the family of all closed, convex and bounded subsets which are intersections of balls is uniformly very porous. This paper deals with the geometrical implications of this result. It is shown tha ..."
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that every equivalent norm on the space can be associated in a natural way with a constant of porosity, whose interplay with the geometry of the space is then investigated. Among other things, we prove that this constant is closely related to the set of εdifferentiability points of the space and the set
Nonsymmetric conical upper density and kporosity
, 2004
"... Abstract. We study how the Hausdorff measure is distributed in nonsymmetric narrow cones in R n. As an application, we find an upper bound close to n − k for the Hausdorff dimension of sets with large kporosity. With kporous sets we mean sets which have holes in k different directions on every sma ..."
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Cited by 12 (7 self)
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Abstract. We study how the Hausdorff measure is distributed in nonsymmetric narrow cones in R n. As an application, we find an upper bound close to n − k for the Hausdorff dimension of sets with large kporosity. With kporous sets we mean sets which have holes in k different directions on every
A Note On Porosity And The Mazur Intersection Property
"... Let M be the collection of all intersections of balls, considered as a subset of the hyperspace H of all closed, convex and bounded sets of a Banach space, furnished with the Hausdorff metric. We prove that M is uniformly very porous if and only if the space fails the Mazur intersection property. ..."
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Cited by 7 (3 self)
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Let M be the collection of all intersections of balls, considered as a subset of the hyperspace H of all closed, convex and bounded sets of a Banach space, furnished with the Hausdorff metric. We prove that M is uniformly very porous if and only if the space fails the Mazur intersection property.
XRAY IMAGE ANALYSIS OF POROSITY OF PERVIOUS CONCRETES
"... ABSTRACT: The use of permeable pavement is one of the most promising tools to control runoff and water quality, therefore enabling low impact development (LID), along with several other benefits. The porosity of the permeable pavement is the most important property of the pavement in current state ..."
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sample. It was found that the porosity estimate from 2D Xray was close to the results with measuring weights, but that of 3D Xray was rather larger under Xray imaging configuration and image analysis technique used. The viability of using Xray images to evaluate the pore characteristics of permeable
WELLPOSEDNESS AND POROSITY IN BEST APPROXIMATION PROBLEMS
"... Abstract. Given a nonempty closed subset A of a Banach space X and a point x ∈ X, we consider the problem of finding a nearest point to x in A. We define an appropriate complete metric spaceM of all pairs (A, x) and construct a subset Ω ofM which is the countable intersection of open everywhere dens ..."
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Abstract. Given a nonempty closed subset A of a Banach space X and a point x ∈ X, we consider the problem of finding a nearest point to x in A. We define an appropriate complete metric spaceM of all pairs (A, x) and construct a subset Ω ofM which is the countable intersection of open everywhere
Prediction of Porosity and Permeability of Caved Zone in Longwall Gobs
"... Abstract The porosity and permeability of the caved zone (gob) in a longwall operation impact many ventilation and methane control related issues, such as air leakage into the gob, the onset of spontaneous combustion, methane and air flow patterns in the gob, and the inter action of gob gas venthol ..."
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Abstract The porosity and permeability of the caved zone (gob) in a longwall operation impact many ventilation and methane control related issues, such as air leakage into the gob, the onset of spontaneous combustion, methane and air flow patterns in the gob, and the inter action of gob gas
Porosity of perturbed optimization problems in Banach spaces
, 2006
"... Let X be a Banach space and Z a nonempty closed subset of X. Let J:Z → R be a lower semicontinuous function bounded from below. This paper is concerned with the perturbed optimization problem infz∈Z{J (z) + ‖x − z‖}, denoted by (x, J)inf for x ∈ X. In the case when X is compactly fully 2convex, it ..."
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Cited by 1 (1 self)
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Let X be a Banach space and Z a nonempty closed subset of X. Let J:Z → R be a lower semicontinuous function bounded from below. This paper is concerned with the perturbed optimization problem infz∈Z{J (z) + ‖x − z‖}, denoted by (x, J)inf for x ∈ X. In the case when X is compactly fully 2convex
Research Article Characterization of Coal Porosity for Naturally Tectonically
"... which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The enrichment of coalbed methane (CBM) and the outburst of gas in a coal mine are closely related to the nanopore structure of coal.The evolutionary characteristics of 12 coal ..."
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which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The enrichment of coalbed methane (CBM) and the outburst of gas in a coal mine are closely related to the nanopore structure of coal.The evolutionary characteristics of 12
Results 1  10
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364