Search results for "Matrix"

showing 10 items of 3205 documents

The Links-Gould invariants as generalizations of the Alexander polynomial

2016

In this thesis we focus on the connections that exist between two link invariants: first the Alexander-Conway invariant ∆ that was the first polynomial link invariant to be discovered, and one of the most thoroughly studied since alongside with the Jones polynomial, and on the other hand the family of Links-Gould invariants LGn,m that are quantum link invariants derived from super Hopf algebras Uqgl(n|m). We prove a case of the De Wit-Ishii-Links conjecture: in some cases we can recover powers of the Alexander polynomial as evaluations of the Links-Gould invariants. So the LG polynomials are generalizations of the Alexander invariant. Moreover we give evidence that these invariants should s…

GenusKnotLinks-Gould invariantsFiberednessNœudR-matriceAlexander polynomialHopf algebraNœud fibré[MATH.MATH-GN] Mathematics [math]/General Topology [math.GN]LinkR- matrixPolynôme d’AlexanderEntrelacsAlgèbre de HopfGenreInvariants de Links-Gould
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Sustainable development of apple snack formulated with blueberry juice and trehalose

2021

Novel products that carry concrete and relevant health benefits, with texture and flavor not substantially different from already available products, are generally well accepted by consumers. Vacuum impregnation is a non-thermal technology that allows the enrichment of fruit with different ingredients in solution. The characteristic of the resulting product is a combination of both the solid matrix and the impregnation solution. This work aimed at: (i) evaluating the effect of trehalose on anthocyanin retention after drying of apple snacks vacuum impregnated with blueberry juice

Geography Planning and DevelopmentTJ807-830Management Monitoring Policy and LawHealth benefitsTD194-195Renewable energy sourcesMatrix (chemical analysis)chemistry.chemical_compoundSustainable developmentDesenvolupament sostenibleGE1-350Food scienceControl sampleConsumidors PreferènciesFlavorEnvironmental effects of industries and plantsMathematical modellingRenewable Energy Sustainability and the EnvironmentIndustrial scaleTrehaloseEnvironmental sciencesFood systemschemistryFood security food quality and human healthAnthocyaninVacuum impregnationBuit Aplicacions industrialsAlimentsProcessing packaging and transportation
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Determination of pharmaceuticals in soils and sediments by pressurized liquid extraction and liquid chromatography tandem mass spectrometry

2010

13 páginas, 4 figuras, 6 tablas.

Geologic SedimentsElectrosprayTandem mass spectrometryLiquid chromatographyChemical FractionationTandem mass spectrometrySensitivity and SpecificityBiochemistryHigh-performance liquid chromatographyAnalytical ChemistryMatrix (chemical analysis)SoilLiquid chromatography–mass spectrometryAntibioticsSoil PollutantsSample preparationSolid phase extractionEnvironmental analysisSolid-phase extractionChromatographyChemistryOrganic ChemistryExtraction (chemistry)Reproducibility of ResultsGeneral MedicineMulti-residue methodPharmaceutical PreparationsLinear ModelsPharmaceuticalsSedimentChromatography Liquid
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Cleaning sorbents used in matrix solid-phase dispersion with sonication: Application to the estimation of polycyclic aromatic hydrocarbons at ng/g le…

2012

This study shows that ultrasonic assisted extraction is a good practise for removing impurities from sorbents used for matrix-solid phase dispersion (MSPD). A previous washing of the sorbent with an organic solvent or mixture of solvents eliminates part of the interferences, but this treatment is not enough for the quantification of PAHs at ng/g levels. It is demonstrated that the determination of traces of polycyclic aromatic hydrocarbons (PAHs) in solid samples processed by matrix-solid phase dispersion (MSPD) may be severely affected by the presence of sorbent impurities. Different extraction solvents and sonication conditions have been tested, and on the basis of the results obtained a …

Geologic SedimentsSorbentChromatographyChemistrySonicationOrganic ChemistryExtraction (chemistry)General MedicineBiochemistryAnalytical ChemistryMatrix (chemical analysis)AdsorptionImpurityPhase (matter)Polycyclic CompoundsSeawaterUltrasonicsAdsorptionDispersion (chemistry)Water Pollutants ChemicalJournal of Chromatography A
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The determination of certain major and minor elements in geological samples by inductively coupled plasma atomic emission spectrometry. Some interfer…

2000

Direct ICP-AES measurements of the digested geological standard reference material samples yielded the wrong information about their composition. The differences between certified and measured concentrations of the samples were due to the complicated sample matrix. The measured concentrations can be successfully corrected by using a multiple linear regression technique. The correction is based on the multiple regression line calculated from the analytical results at synthetic mixtures of matrix elements, where concentrations varied on five levels. There were no significant (P = 0.05) differences between certified and measured concentrations in standard reference materials after the correcti…

Geological PhenomenaElectron probe microanalysisChemistryAnalytical chemistryGeologyReference StandardsMass spectrometryBiochemistryMatrix (chemical analysis)CalibrationDietary SupplementsLinear regressionCalibrationInductively coupled plasmaReference standardsElectron Probe MicroanalysisAtomic emission spectrometryFresenius' Journal of Analytical Chemistry
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Hybrid WENO schemes for polydisperse sedimentation models

2015

International audience; Polydisperse sedimentation models can be described by a strongly coupled system of conservation laws for the concentration of each species of solids. Typical solutions for the sedimentation model considered for batch settling in a column include stationary kinematic shocks separating layers of sediment of different composition. This phenomenon, known as segregation of species, is a specially demanding task for numerical simulation due to the need of accurate numerical simulations. Very high-order accurate solutions can be constructed by incorporating characteristic information, available due to the hyperbolicity analysis made in Donat and Mulet [A secular equation fo…

Geometry010103 numerical & computational mathematics65M0601 natural sciences[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]symbols.namesake35L65finite difference WENO schemesApplied mathematicspolydisperse sedimentation0101 mathematicsMathematicsConservation lawPartial differential equationComputer simulationApplied Mathematics76T20Finite differenceComputer Science Applications010101 applied mathematicsComputational Theory and MathematicsFlow (mathematics)Jacobian matrix and determinantsymbolsGravitational singularityConstant (mathematics)component-wise schemes
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Transforming Tradition: Richard Courant in Göttingen

2018

Richard Courant had a knack for being at the right place at the right time. He came to Gottingen in 1907, just when Hilbert and Minkowski were delving into fast-breaking developments in electron theory. There he joined three other students who also came from Breslau: Otto Toeplitz, Ernst Hellinger, and Max Born, all three, like him, from a German Jewish background. Toeplitz was their natural intellectual leader, in part because his father was an Oberlehrer at the Breslau Gymnasium (Muller-Stach 2014). Courant was five or six years younger than the others; he was sociable and ambitious, but also far poorer than they (Reid 1976, 8–13).

GermanPhilosophyJudaismMinkowski spacelanguageNatural (music)language.human_languageClassicsToeplitz matrix
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Porcine Dermis-Derived Collagen Membranes Induce Implantation Bed Vascularization Via Multinucleated Giant Cells: A Physiological Reaction?

2014

In this study, the tissue reactions to 2 new porcine dermis-derived collagen membranes of different thickness were analyzed. The thicker material (Mucoderm) contained sporadically preexisting vessel skeletons and fatty islands. The thinner membrane (Collprotect) had a bilayered structure (porous and occlusive side) without any preexisting structures. These materials were implanted subcutaneously in mice to analyze the tissue reactions and potential transmembranous vascularization. Histological and histomorphometrical methodologies were performed at 4 time points (3, 10, 15, and 30 days). Both materials permitted stepwise connective tissue ingrowth into their central regions. In the Mucoderm…

Giant Cells Foreign-BodyForeign-body giant cellPathologymedicine.medical_specialtyChemistrySwineCollagen membraneConnective tissueMembranes ArtificialAnatomyDermisMatrix (biology)Giant CellsMiceMembranemedicine.anatomical_structureGiant cellmedicineAnimalsCollagenOral SurgeryPorcine dermisPhysiological reactionPorosityThe Journal of oral implantology
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Mouse Testican-2

2005

Mouse testican-2 was cloned, sequenced, and shown to be a proteoglycan with a multidomain structure closely similar to that of the human ortholog, previously described as a calcium binding extracellular matrix molecule of the BM-40/SPARC/osteonectin family (Vannahme, C., Schubel, S., Herud, M., Gosling, S., Hulsmann, H., Paulsson, M., Hartmann, U., and Maurer, P. (1999). J. Neurochem. 73, 12–20). Recombinant mouse testican-2 was used to prepare specific antibodies that allowed the detection of testican-2 in various brain structures but also in lung, testis, and in several endocrine glands. Although the testican-2 expressed in EBNA-293 cells carried both heparan sulfate and chondroitin/derma…

GlycanGlycosylationbiologyNeuriteCell BiologyHeparan sulfateBiochemistryMolecular biologyDermatan sulfatecarbohydrates (lipids)Extracellular matrixchemistry.chemical_compoundProteoglycanchemistrybiology.proteinOsteonectinMolecular BiologyJournal of Biological Chemistry
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Extraction of β-blockers from urine with a polymeric monolith modified with 1-allyl-3-methylimidazolium chloride in spin column format

2020

Abstract A glycidyl methacrylate-based monolith was modified with imidazolium-based ionic liquid (IL) to be used as stationary phase for solid-phase extraction (SPE). The host monolithic support was prepared by in-situ UV polymerization in spin column format. Two approaches were developed to incorporate the IL into the polymeric monolithic matrix: generation of IL onto the surface monolith, and copolymerization by addition of the IL to the polymerization mixture, which gave the best results. The resulting sorbent materials were morphologically characterized and used for the isolation of five β-blockers from human urine samples. All SPE steps were accomplished by centrifugation, which reduce…

Glycidyl methacrylatePolymersSurface PropertiesAdrenergic beta-Antagonists02 engineering and technology01 natural sciencesHigh-performance liquid chromatographyAnalytical ChemistryMatrix (chemical analysis)chemistry.chemical_compoundSpin column-based nucleic acid purificationHumansSolid phase extractionParticle SizeMonolithDetection limitgeographygeography.geographical_feature_categoryChromatographyChemistrySolid Phase Extraction010401 analytical chemistryExtraction (chemistry)Imidazoles021001 nanoscience & nanotechnology0104 chemical sciencesAllyl CompoundsEpoxy CompoundsMethacrylates0210 nano-technologyTalanta
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