Search results for "upper"

showing 10 items of 987 documents

Regularity properties for quasiminimizers of a $(p,q)$-Dirichlet integral

2021

Using a variational approach we study interior regularity for quasiminimizers of a $(p,q)$-Dirichlet integral, as well as regularity results up to the boundary, in the setting of a metric space equipped with a doubling measure and supporting a Poincar\'{e} inequality. For the interior regularity, we use De Giorgi type conditions to show that quasiminimizers are locally H\"{o}lder continuous and they satisfy Harnack inequality, the strong maximum principle, and Liouville's Theorem. Furthermore, we give a pointwise estimate near a boundary point, as well as a sufficient condition for H\"older continuity and a Wiener type regularity condition for continuity up to the boundary. Finally, we cons…

PointwiseApplied MathematicsMathematical analysisPoincaré inequalityBoundary (topology)Hölder conditionMetric Geometry (math.MG)Functional Analysis (math.FA)Dirichlet integralMathematics - Functional Analysissymbols.namesakeMetric spaceMaximum principleMathematics - Analysis of PDEsMathematics - Metric GeometrySettore MAT/05 - Analisi MatematicasymbolsFOS: Mathematics(p q)-Laplace operator Measure metric spaces Minimal p-weak upper gradient Minimizer31E05 30L99 46E35AnalysisHarnack's inequalityMathematicsAnalysis of PDEs (math.AP)
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Platinum levels in urban soils from Palermo (Italy); Analytical method using voltammetry

2011

Abstract A fast accumulation of platinum in the environmental and biological matrices was observed in the last years and concern arose about potential environmental and health risks. The toxicity of platinum species has been investigated in various studies, some of their, especially the chlorinated ones, are very toxic and allergenic. Information of the acute toxicity of some Pt-chlorinated salts and evidence of DNA damage due to Pt exposure have been observed both in vitro and in vivo. Taking into account what is written above, the development of reliable analytic methods to measure very low Pt concentrations is required. In this work was developed a reliable method for the determination o…

PollutantCorrelation coefficientAnalytical chemistrychemistry.chemical_elementSettore CHIM/12 - Chimica Dell'Ambiente E Dei Beni CulturaliAcute toxicityAnalytical ChemistrychemistryEnvironmental chemistrySoil waterUpper crustDifferential pulse voltammetryPlatinum SoilPalermoVoltammetryPlatinumVoltammetrySpectroscopyMicrochemical Journal
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Pollution patterns in the upper troposphere over Europe and Asia observed by CARIBIC

2014

Abstract Between May 2005 and March 2008 the CARIBIC (Civil Aircraft for the Regular Investigation of the atmosphere Based on an Instrument Container) observatory was deployed to make atmospheric observations on 42 flights between Frankfurt, Germany and Manila, the Philippines. This nearly 3 year flight series provides information about atmospheric composition in the upper troposphere over Europe and Asia during all seasons and was used to investigate seasonal and regional differences in trace gas distributions and the influence of long range transport and local convection on composition. The flight route was separated into three different regions having characteristic differences in transp…

PollutionAtmospheric ScienceMiddle EastRange (biology)business.industrymedia_common.quotation_subjectFossil fuelBiomassAtmosphärische SpurenstoffeAsian pollutionAtmospheric sciencesTrace gasTroposphereAtmosphereUpper troposphereClimatologyEnvironmental scienceCARIBICbusinessGeneral Environmental Sciencemedia_common
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On Inverse Distance Weighting in Pollution Models

2011

When evaluating the impact of pollution, measurements from remote stations are often weighted by the inverse of distance raised to some nonnegative power (IDW). This is derived from Shepard's method of spatial interpolation (1968). The paper discusses the arbitrary character of the exponent of distance and the problem of monitoring stations that are close to the reference point. From elementary laws of physics, it is determined which exponent of distance should be chosen (or its upper bound) depending on the form of pollution encountered, such as radiant pollution (including radioactivity and sound), air pollution (plumes, puffs, and motionless clouds by using the classical Gaussian model),…

PollutionMeteorologymedia_common.quotation_subjectAir pollutionmedicine.disease_causeUpper and lower boundsWeightingMultivariate interpolationsymbols.namesakeInverse distance weightingsymbolsExponentmedicineEnvironmental scienceGaussian network modelPhysics::Atmospheric and Oceanic Physicsmedia_commonSSRN Electronic Journal
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Pollution models and inverse distance weighting: some critical remarks

2013

International audience; When evaluating the impact of pollution, measurements from remote stations are often weighted by the inverse of distance raised to some nonnegative power (IDW). This is derived from Shepard's method of spatial interpolation (1968). The paper discusses the arbitrary character of the exponent of distance and the problem of monitoring stations that are close to the reference point. From elementary laws of physics, it is determined which exponent of distance should be chosen (or its upper bound) depending on the form of pollution encountered, such as radiant pollution (including radioactivity and sound), air pollution (plumes, puffs, and motionless clouds by using the cl…

PollutionMeteorologymedia_common.quotation_subjectAir pollutionmedicine.disease_causeWeightingdistance inverseUpper and lower boundsMultivariate interpolationsymbols.namesakeInverse distance weightingStatisticsmedicineIDW[ SHS.ECO ] Humanities and Social Sciences/Economies and financesComputers in Earth Sciences[SHS.ECO] Humanities and Social Sciences/Economics and FinancePhysics::Atmospheric and Oceanic Physicsmedia_commonMathematicsExponentexposant[SHS.ECO]Humanities and Social Sciences/Economics and Finance[SDE.ES]Environmental Sciences/Environmental and SocietyPollutionWeightingpondérationExponentsymbolsShepard[SDE.ES] Environmental Sciences/Environmental and SocietyGaussian network modelInverse distance[ SDE.ES ] Environmental Sciences/Environmental and SocietyInformation Systems
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The apparently anomalous effects of surfactants on interfacial tension in the IBA/water system near its upper critical solution temperature

2016

We studied the effect of anionic, cationic, and nonionic surfactants on the interfacial tension between the two phases of the isobutyric acid/water system using spinning drop tensiometry. It has been found that interfacial tension decreases with increasing concentration of the surfactant in the case of sodium dodecyl sulfate (SDS) and of dodecyltrimethylammonium chloride (DTAC). However, in the case of Triton X-100 an increase of surfactant concentration leads to an increase of the interfacial tension. Such results are consistent with the upper critical solution temperature (UCST) in the presence of these surfactants: the UCST decreases with increasing SDS and DTAC concentrations while it i…

Polymers and Plastics02 engineering and technology01 natural sciencesSpinning drop tensiometry010305 fluids & plasmasIsobutyric acidSurface tensionchemistry.chemical_compoundColloid and Surface ChemistryPulmonary surfactantUpper critical solution temperature0103 physical sciencesPolymer chemistryMaterials ChemistryMoleculePhysical and Theoretical ChemistrySodium dodecyl sulfateSettore CHIM/02 - Chimica FisicaChemistryDrop (liquid)Cationic polymerizationUpper critical solution temperature (UCST)021001 nanoscience & nanotechnologyChemical engineering0210 nano-technologyInterfacial tensionColloid and Polymer Science
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Tuning the upper critical solution temperature behavior of poly(methyl methacrylate) in aqueous ethanol by modification of an activated ester comonom…

2012

A statistical copolymer of methyl methacrylate (MMA) and pentafluorophenyl methacrylate (PFPMA, 6 mol%) exhibits upper critical solution temperature (UCST) behavior in aqueous ethanol solutions tunable by post-polymerization modification with different amines. The phase transition behavior of the obtained copolymers in aqueous ethanol was evaluated in detail. As expected, all copolymers reveal an upper critical solution temperature with 55 vol% or higher ethanol content. Furthermore, the solubility in aqueous ethanol of the copolymer can be increased by the introduction of hydrophilic moieties. When hydrophobic substituents are introduced a decrease in solubility was observed with low conte…

Polymers and PlasticsComonomerOrganic ChemistryBioengineeringMethacrylateBiochemistryLower critical solution temperaturePoly(methyl methacrylate)chemistry.chemical_compoundchemistryUpper critical solution temperaturevisual_artPolymer chemistryvisual_art.visual_art_mediumCopolymerSolubilityMethyl methacrylatePolymer Chemistry
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Upper bounds for the zeros of ultraspherical polynomials

1990

AbstractFor k = 1, 2, …, [n2] let xnk(λ) denote the Kth positive zero in decreasing order of the ultraspherical polynomial Pn(λ)(x). We establish upper bounds for xnk(λ). All the bounds become exact when λ = 0 and, in some cases (see case (iii) of Theorem 3.1), also when λ = 1. As a consequence of our results, we obtain for the largest zero xn1(λ)0.. We point out that our results remain useful for large values of λ. Numerical examples show that our upper bounds are quite sharp.

PolynomialMathematics(all)Numerical AnalysisGegenbauer polynomialsDifferential equationGeneral MathematicsApplied MathematicsMathematical analysisZero (complex analysis)Upper and lower boundsCombinatoricssymbols.namesakesymbolsOrder (group theory)Newton's methodAnalysisMathematicsJournal of Approximation Theory
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Superinvolutions on upper-triangular matrix algebras

2018

Let UTn(F) be the algebra of n×n upper-triangular matrices over an algebraically closed field F of characteristic zero. In [18], the authors described all abelian G-gradings on UTn(F) by showing that any G-grading on this algebra is an elementary grading. In this paper, we shall consider the algebra UTn(F) endowed with an elementary Z2-grading. In this way, it has a structure of superalgebra and our goal is to completely describe the superinvolutions which can be defined on it. To this end, we shall prove that the superinvolutions and the graded involutions (i.e., involutions preserving the grading) on UTn(F) are strictly related through the so-called superautomorphisms of this algebra. We …

PolynomialPure mathematicsAlgebra and Number Theory010102 general mathematicsPolynomial identity superinvolution upper-triangular matrices.Zero (complex analysis)Triangular matrixStructure (category theory)010103 numerical & computational mathematicsSingle class01 natural sciencesSuperalgebraSettore MAT/02 - Algebrapolynomial identity superinvolutions upper triangular matrices cocharacter0101 mathematicsAbelian groupAlgebraically closed fieldMathematics
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In vitro models for the prediction of in vivo performance of oral dosage forms: Recent progress from partnership through the IMI OrBiTo collaboration

2019

The availability of in vitro tools that are constructed on the basis of a detailed knowledge of key aspects of gastrointestinal (GI) physiology and their impact on formulation performance and subsequent drug release behaviour is fundamental to the success and efficiency of oral drug product development. Over the last six years, the development and optimization of improved, biorelevant in vitro tools has been a cornerstone of the IMI OrBiTo (Oral Biopharmaceutics Tools) project. By bringing together key industry and academic partners, and by linking tool development and optimization to human studies to understand behaviour at the formulation/GI tract interface, the collaboration has enabled …

Process managementUPPER GASTROINTESTINAL-TRACTAdministration OralPharmaceutical Science02 engineering and technologyWATER DIFFUSIVITYModels Biological030226 pharmacology & pharmacyDosage formBiopharmaceutics03 medical and health sciences0302 clinical medicineDISINTEGRATION TESTERHumansPharmacology & PharmacyWEAK BASESIntersectoral CollaborationBiologyTEST DEVICEDosage FormsALBENDAZOLE CONCENTRATIONSScience & TechnologyHuman studiesbusiness.industryBiopharmaceuticsFED STATE CONDITIONSGeneral Medicine021001 nanoscience & nanotechnologyRELEASE TABLETSGastrointestinal TractPharmaceutical PreparationsGastrointestinal AbsorptionGeneral partnershipSOLID DISPERSIONNew product developmentDrug releaseIntersectoral Collaboration0210 nano-technologybusinessLife Sciences & BiomedicineUPPER SMALL-INTESTINEOral retinoidForecastingBiotechnology
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