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Minimal Indices and Minimal Bases via Filtrations
, 2014
"... In this note we develop a new way of formulating the notions of minimal basis and minimal indices, based on the concept of a filtration of a vector space. The goal is to provide useful new tools for working with these important concepts, as well as to gain deeper insight into their fundamental natur ..."
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Cited by 3 (2 self)
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In this note we develop a new way of formulating the notions of minimal basis and minimal indices, based on the concept of a filtration of a vector space. The goal is to provide useful new tools for working with these important concepts, as well as to gain deeper insight into their fundamental
ISSN 17499097Minimal Indices and Minimal Bases via Filtrations
, 2012
"... Reports available from: ..."
ON THE FIBER CONES OF GOOD FILTRATIONS
, 2009
"... Let A be a Noetherian local ring with the maximal ideal m and an mprimary ideal J. Let F = {In}n≥0 be a good filtration of ideals in A. Denote by FJ(F) = ⊕ (In/JIn)tn the fiber cone of F with respect to J. The paper characterizes the multiplicity and the CohenMacaulayness of FJ(F) in terms of min ..."
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Let A be a Noetherian local ring with the maximal ideal m and an mprimary ideal J. Let F = {In}n≥0 be a good filtration of ideals in A. Denote by FJ(F) = ⊕ (In/JIn)tn the fiber cone of F with respect to J. The paper characterizes the multiplicity and the CohenMacaulayness of FJ(F) in terms
ON THE CHERN NUMBER OF A FILTRATION
, 804
"... The Hilbert function of a local ring (A, m) is the function which associates to each non negative integer n the minimal number of generators of m n. It gives deep information on the corresponding singularity and, owing to its geometric significance, has been studied extensively. In the case of a sta ..."
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Cited by 1 (0 self)
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The Hilbert function of a local ring (A, m) is the function which associates to each non negative integer n the minimal number of generators of m n. It gives deep information on the corresponding singularity and, owing to its geometric significance, has been studied extensively. In the case of a
ON THE HODGE FILTRATION OF HODGE MODULES
, 2005
"... Let X be a complex manifold, and Z an irreducible closed analytic subset. We have the polarizable Hodge Module ICZQ H whose underlying perverse sheaf is the intersection complex ICZQ. See [16]. Let (M, F) be its underlying filtered DXModule. Then M is the unique regular holonomic DXModule which co ..."
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Cited by 3 (2 self)
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, because we have to calculate the filtration V to some extent. More generally, assume (M, F) underlies a polarizable Hodge Module M with strict support Z (see [16]). Let q = min{p ∈ Z: FpM ̸ = 0}. The generating level of (M, F) is defined to be the minimal length of a part of the filtration F which
InTank Filtration/Solution Purification: A New Concept in Waste Minimization
"... A fourhone system that pumps, filters, agitates, and carbon treats minimizes wastes generated from plating, printed circuit, and related operations. It eliminates costly leaks and spills associated with outoftank filter systems, enables application of a reusable filter media, reduces the frequenc ..."
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A fourhone system that pumps, filters, agitates, and carbon treats minimizes wastes generated from plating, printed circuit, and related operations. It eliminates costly leaks and spills associated with outoftank filter systems, enables application of a reusable filter media, reduces
Sorghum genome sequencing by methylation filtration
 PLoS Biol
, 2005
"... Sorghum bicolor is a close relative of maize and is a staple crop in Africa and much of the developing world because of its superior tolerance of arid growth conditions. We have generated sequence from the hypomethylated portion of the sorghum genome by applying methylation filtration (MF) technolog ..."
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Cited by 18 (1 self)
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Sorghum bicolor is a close relative of maize and is a staple crop in Africa and much of the developing world because of its superior tolerance of arid growth conditions. We have generated sequence from the hypomethylated portion of the sorghum genome by applying methylation filtration (MF
Filtration in cardiopulmonary bypass: past, present and
"... In the initial stages of development cardiopulmonary bypass technology focused on the provision of adequately oxygenated blood being returned to the patient with minimal trauma to the ..."
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In the initial stages of development cardiopulmonary bypass technology focused on the provision of adequately oxygenated blood being returned to the patient with minimal trauma to the
Blur filtration fails to preserve privacy for homebased video conferencing
 ACM ToCHI
, 2006
"... Alwayson video provides rich awareness for coworkers separated by distance, yet it has the potential to threaten privacy as sensitive details may be inadvertently broadcasted to others. This threat increases for telecommuters who work at home and connect to officebased colleagues using video beca ..."
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Cited by 54 (6 self)
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results show that blur filtration is unable to balance privacy with awareness for home scenarios exhibiting even minimally risky situations. Subjective reactions by study participants to video obfuscation as a means to mitigate risk suggest that other image processing techniques will be problematic
BEYOND NUMERICS: THE EXISTENCE OF PURE FILTRATIONS
"... A recent result of BoijSöderberg and EisenbudSchreyer proves that the Betti diagram of any graded module decomposes as a positive rational linear combination of pure diagrams. We consider the followup question of whether this numerical decomposition ever corresponds to an actual filtration of th ..."
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A recent result of BoijSöderberg and EisenbudSchreyer proves that the Betti diagram of any graded module decomposes as a positive rational linear combination of pure diagrams. We consider the followup question of whether this numerical decomposition ever corresponds to an actual filtration
Results 1  10
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339