Search results for "composition"

showing 10 items of 2675 documents

A quasiconformal composition problem for the Q-spaces

2017

Given a quasiconformal mapping $f:\mathbb R^n\to\mathbb R^n$ with $n\ge2$, we show that (un-)boundedness of the composition operator ${\bf C}_f$ on the spaces $Q_{\alpha}(\mathbb R^n)$ depends on the index $\alpha$ and the degeneracy set of the Jacobian $J_f$. We establish sharp results in terms of the index $\alpha$ and the local/global self-similar Minkowski dimension of the degeneracy set of $J_f$. This gives a solution to [Problem 8.4, 3] and also reveals a completely new phenomenon, which is totally different from the known results for Sobolev, BMO, Triebel-Lizorkin and Besov spaces. Consequently, Tukia-V\"ais\"al\"a's quasiconformal extension $f:\mathbb R^n\to\mathbb R^n$ of an arbitr…

Quasiconformal mappingComposition operatorApplied MathematicsGeneral Mathematics010102 general mathematicsta111compositionsMinkowski–Bouligand dimensionComposition (combinatorics)01 natural sciencesQ-spacesFunctional Analysis (math.FA)010101 applied mathematicsCombinatoricsSobolev spaceMathematics - Functional Analysisquasiconformal mappingsFOS: Mathematics42B35 46E30 47B38 30H250101 mathematicsInvariant (mathematics)Degeneracy (mathematics)Mathematics
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Microgel regions in dilute agarose solutions: the notion of non-gelling concentration, and the role of spinodal demixing

1991

Abstract Freely drifting microgel regions are found in aqueous solutions of agarose, a representative biostructural polysaccharide, at concentrations between 0.01% and 0.05% w/v when quenched from 100°C to lower temperature. The size of these domains depends on the quench temperature and agarose concentration. The results agree with recent findings on the role that fluctuations within or close to the instability region of solution have as the initial step towards the self-assembly of supramolecular structures, and throw a new light on the notion of the lowest solute concentration needed for gelation.

QuenchingSpinodalAqueous solutionChemistrySpinodal decompositionSupramolecular chemistryAnalytical chemistryGeneral Physics and AstronomyInstabilityLight scatteringchemistry.chemical_compoundChemical physicsAgarosePhysical and Theoretical ChemistryChemical Physics Letters
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Hemmung Des Chininabbaus Mit N-Methylnicotins�ureamid Im Tierversuch

1951

In der Arbeit ergibt sich im Durchschnitt eine merklich hohere Chininkonzentration in den Organen nach Injektion von N1-Methylnicotinsaureamid, wobei die Unterschiede in der Lunge am deutlichsten hervortreten. Hier liegen auch die Chininwerte im Leerversuch am hochsten.

Quininechemistry.chemical_compoundChemistryStereochemistryAmideDrug DiscoverymedicineMolecular MedicineGeneral MedicineDecompositionGenetics (clinical)medicine.drugKlinische Wochenschrift
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Numerical Simulations on the Growth of Thin Oxide Films on Aluminum Substrates

2010

We investigated the oxidation of nanocrystalline aluminum surfaces by using variable charge molecular dynamics at 600 K under three oxygen pressures: 1, 10 and 20 atm. The interaction potential was described by the electrostatic plus (Es+) model that allows dynamical charge transfer among atoms. We mainly focused on the effect of the oxygen pressure on the oxidation kinetic, the chemical composition and the microstructure of the oxide films formed. The results show that oxidation kinetics as well as chemical composition and microstructure depend on the applied oxygen pressure. The oxide film thickness tends to a limiting value equal to ~3 nm. Finally, we obtained a partially crystalline oxi…

RadiationMaterials scienceInorganic chemistryOxidechemistry.chemical_elementCondensed Matter PhysicsMicrostructureOxygenNanocrystalline materialCrystallinitychemistry.chemical_compoundMolecular dynamicsChemical engineeringchemistryGeneral Materials ScienceThin filmChemical compositionDefect and Diffusion Forum
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Effect of Mechanoactivation on Interfacial Interaction in Metal/Oxide Systems

2006

Properties of interfaces in solid state metal/oxide joints (Al/SiO2, Al/MgO, Al/glass, Mg/MgO, Mg/SiO2, In/glass etc.) are reported. The interfaces were formed by plastic deformation of metal on the oxide surface at room temperature. Their structure, chemical composition, and micromechanical properties were studied by the AFM, XRD, SIMS, optical microscopy, and precision microindentation techniques. A noticeable adhesion was observed for metals with high affinity for oxygen and only in the regions of the maximum shear stress. Formation of an interfacial reaction zone with an oxygen concentration gradient is detected. In this zone metals are nanostructured and noticeably hardened. The effect…

RadiationMaterials scienceNanostructureMetallurgyOxidechemistry.chemical_elementAdhesionCondensed Matter PhysicsOxygenlaw.inventionMetalchemistry.chemical_compoundOptical microscopechemistryChemical engineeringlawvisual_artvisual_art.visual_art_mediumGeneral Materials ScienceLimiting oxygen concentrationChemical compositionDefect and Diffusion Forum
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X-ray powder diffraction of mineral pigments and medicines from the 17th century pharmacy (Spezieria) Santa Maria della Scala in Rome, Italy

2018

The pharmacy (spezieria) Santa Maria della Scala was founded in Rome by the Discalced Carmelites Order in the 17th century, and during the 18th and 19th centuries it became the official supplier of medicines for Vatican Popes. The laboratory and the cases of this spezieria still preserve glass jars with organic and inorganic materials, which were presumably used for medicine and artistic material preparation, whose composition is unknown to date. A research project was initiated with the aim to study the stored materials and the role that the pharmacy played in regional, national and international contexts. In this manuscript, the compounds were analysed through X-ray powder diffraction wit…

RadiationMineralmedia_common.quotation_subject02 engineering and technologyArt010402 general chemistry021001 nanoscience & nanotechnologyCondensed Matter Physics01 natural sciencesMineralogical compositionArchaeology0104 chemical sciencesGeneral Materials ScienceInorganic materials0210 nano-technologyInstrumentationPowder diffractionmedia_commonPowder Diffraction
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Illustration of constrained composition statistical methods in the interpretation of radionuclide concentrations in the moss Pleurozium schreberi.

2013

In this work we have used moss Pleurozium schreberi as a bioindicator of radioactive materials in environment. The following radionuclides were determined in moss samples: (137)Cs, (40)K, (210)Pb, (212)Pb, (214)Pb, (214)Bi, (231)Th, (235)U and (228)Ac, but not all of them in each sample. The highest activity concentrations were found for naturally occurring (210)Pb, (40)K and the artificial isotope (137)Cs. Activities of radioisotopes were recalculated into mass concentrations and the statistical methods intended for constrained data processing were used. Analysis of our results showed at most a weak relationship between radioisotope mass concentrations in moss. It was supposed that concent…

RadioisotopesRadionuclidebiologyIsotopeChemistryHealth Toxicology and MutagenesisWeak relationshipGeneral MedicineBryophytabiology.organism_classificationPollutionMossEnvironmental chemistryBiomonitoringEnvironmental ChemistryComposition (visual arts)Waste Management and DisposalBioindicatorPleurozium schreberiEnvironmental MonitoringJournal of environmental radioactivity
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Low-pressure synthesis and Bridgman growth of Hg1−xMnxTe

1999

To reduce Hg high pressure related to the high-temperature synthesis reaction between the components in elemental form, Hg 1-x Mn x Te bulk crystals were produced by a two-step procedure including (I) the alloy synthesis using HgTe crystals grown by the cold travelling heater method and elemental Mn and Te to complete the desired composition, followed by (II) the Bridgman growth. The growth was carried out at temperature in the range of 700-850°C and rate of 1 mm/h. The Hg 1-x Mn x Te crystals have been characterised by X-ray diffractometry, energy dispersive X-ray analysis, Fourier transformed infrared spectroscopy and Hall effect techniques. Although the distribution coefficient of Mn was…

Range (particle radiation)ChemistryAlloyAnalytical chemistryInfrared spectroscopyengineering.materialCondensed Matter PhysicsInorganic ChemistryPartition coefficientsymbols.namesakeLattice constantFourier transformHall effectMaterials ChemistrysymbolsengineeringChemical compositionJournal of Crystal Growth
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2015

Abstract. This paper presents results from the "INUIT-JFJ/CLACE 2013" field campaign at the high alpine research station Jungfraujoch in January/February 2013. The chemical composition of ice particle residuals (IPR) in a size diameter range of 200–900 nm was measured in orographic, convective and non-convective clouds with a single particle mass spectrometer (ALABAMA) under ambient conditions characterized by temperatures between −28 and −4 °C and wind speed from 0.1 to 21 km h−1. Additionally, background aerosol particles in cloud free air were investigated. The IPR were sampled from mixed-phase clouds with two inlets which selectively extract small ice crystals in-cloud, namely the Count…

Range (particle radiation)education.field_of_studyIce crystalsChemistryParticle-size distributionLead (sea ice)PopulationMineralogyParticleeducationChemical compositionAerosolAtmospheric Chemistry and Physics Discussions
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Low-Rank Tucker-2 Model for Multi-Subject fMRI Data Decomposition with Spatial Sparsity Constraint

2022

Tucker decomposition can provide an intuitive summary to understand brain function by decomposing multi-subject fMRI data into a core tensor and multiple factor matrices, and was mostly used to extract functional connectivity patterns across time/subjects using orthogonality constraints. However, these algorithms are unsuitable for extracting common spatial and temporal patterns across subjects due to distinct characteristics such as high-level noise. Motivated by a successful application of Tucker decomposition to image denoising and the intrinsic sparsity of spatial activations in fMRI, we propose a low-rank Tucker-2 model with spatial sparsity constraint to analyze multi-subject fMRI dat…

Rank (linear algebra)Computer scienceMatrix normlow-rankmatrix decompositionsymbols.namesaketoiminnallinen magneettikuvausOrthogonalitytensorsTensor (intrinsic definition)Kronecker deltaTucker decompositionHumansElectrical and Electronic Engineeringcore tensorsparsity constraintRadiological and Ultrasound Technologybusiness.industrysignaalinkäsittelyfeature extractionsparse matricesBrainPattern recognitionbrain modelingMagnetic Resonance Imagingfunctional magnetic resonance imagingComputer Science ApplicationsConstraint (information theory)data modelssymbolsNoise (video)Artificial intelligencebusinessmulti-subject fMRI dataSoftwareAlgorithmsTucker decomposition
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