Search results for "Opera"

showing 10 items of 8665 documents

THE CAUCHY DUAL AND 2-ISOMETRIC LIFTINGS OF CONCAVE OPERATORS

2018

We present some 2-isometric lifting and extension results for Hilbert space concave operators. For a special class of concave operators we study their Cauchy dual operators and discuss conditions under which these operators are subnormal. In particular, the quasinormality of compressions of such operators is studied.

Cauchy dual operatorsubnormal operatorPure mathematics[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]01 natural sciencessymbols.namesakeFOS: Mathematics0101 mathematicsconcave operatorMathematics47A05 47A15 47A20 47A63Mathematics::Functional AnalysisMathematics::Operator AlgebrasApplied Mathematics010102 general mathematicsHilbert spaceCauchy distributionExtension (predicate logic)Special class2-isometric liftingsA-contractionFunctional Analysis (math.FA)Dual (category theory)Mathematics - Functional Analysis010101 applied mathematicssymbolsAnalysis
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INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS

2010

We study the existence of integral solutions to a class of nonlinear evolution equations of the form [Formula: see text] where A : D(A) ⊆ X → 2X is an m-accretive operator on a Banach space X, and f : [0, T] × X → X and [Formula: see text] are given functions. We obtain sufficient conditions for this problem to have a unique integral solution.

Cauchy problemClass (set theory)Pure mathematicsApplied MathematicsGeneral MathematicsOperator (physics)Mathematical analysisBanach spaceIntegral solutionFixed pointNonlinear evolutionFourier integral operatorMathematicsCommunications in Contemporary Mathematics
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Existence results and asymptotic behavior for nonlocal abstract Cauchy problems

2008

AbstractThe purpose of this paper is to study the existence and asymptotic behavior of solutions for Cauchy problems with nonlocal initial datum generated by accretive operators in Banach spaces.

Cauchy problemPure mathematicsm-Accretive operatorsNonlocal Cauchy problemsApplied MathematicsMathematical analysisBanach spaceMathematics::Analysis of PDEsGeodetic datumCauchy distributionIntegral solutionsAsymptotic behaviorAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Exact treatment of operator difference equations with nonconstant and noncommutative coefficients

2013

We study a homogeneous linear second-order difference equation with nonconstant and noncommuting operator coefficients in a vector space. We build its exact resolutive formula consisting of the explicit noniterative expression of a generic term of the unknown sequence of vectors. Some nontrivial applications are reported in order to show the usefulness and the broad applicability of the result.

Cauchy problemSequenceDifferential equationGeneral MathematicsOperator (physics)Mathematical analysisGeneral EngineeringExpression (computer science)Term (logic)Noncommutative geometrySettore FIS/03 - Fisica Della MateriaCauchy problem Noncommuting operators Operator difference equationsMathematicsVector space
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Polyphosphate, the physiological metabolic fuel for corneal cells: a potential biomaterial for ocular surface repair

2019

The regeneration of the epithelium, covering the avascular cornea, involves the processes of differentiation, proliferation and migration of cells originating from the corneal epithelial stem cells. We ask the question if these energy-consuming processes can be fueled by the physiological, inorganic polyphosphate (polyP), the main energy storage/donor molecule in the extracellular space. The ex vivo results reveal that addition of polyP, in the form of soluble Na-polyP, to the culture medium elicits a strong stimulatory effect on cell viability/growth and migration of corneal epithelial cells. Microscopic analyses of partially denuded cornea specimens show that in the presence of polyP, but…

Cell SurvivalCell Culture TechniquesBiomedical Engineering02 engineering and technology010402 general chemistry01 natural sciencesCorneaCorneal limbusCell MovementPolyphosphatesCorneaotorhinolaryngologic diseasesmedicineHumansRegenerationGeneral Materials ScienceViability assayCells CulturedCell ProliferationCorneal epitheliumTissue ScaffoldsChemistryRegeneration (biology)Mucin-1Epithelial Cells021001 nanoscience & nanotechnologyeye diseasesdigestive system diseasesEpitheliumCulture Media0104 chemical sciencesCell biologysurgical procedures operativemedicine.anatomical_structureSolubilityCell cultureCalciumsense organsStem cell0210 nano-technologyBiomaterials Science
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Present status of the application of cryopreserved hepatocytes in the evaluation of xenobiotics: consensus of an international expert panel.

1999

Successful cryopreservation of freshly isolated hepatocytes would significantly decrease the need for freshly-procured livers for the preparation of hepatocytes for experimentation. Hepatocytes can be prepared, cryopreserved, and used for experimentation as needed at different times after isolation. Cryopreservation is especially important for research with human hepatocytes because of the limited availability of fresh human livers. Based on the cumulative experience of this international expert panel, a consensus was reached on the various aspects of hepatocyte cryopreservation, including cryopreservation and thawingprocedures and applications of the cryopreserved hepatocytes. Key to succe…

Cell SurvivalInternational CooperationBiologyToxicology030226 pharmacology & pharmacyCryopreservationXenobioticsAndrology03 medical and health scienceschemistry.chemical_compound0302 clinical medicinemedicineAnimalsHumansCell survival030304 developmental biologyCryopreservation0303 health sciencesGeneral MedicineOrgan Preservationmedicine.anatomical_structurechemistryLiverHepatocyteImmunologyDrug EvaluationXenobioticChemico-biological interactions
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Constraint Cellular Automata for Urban Development Simulation: An Application to the Strasbourg-Kehl Cross-Border Area

2017

AcknowledgementsThe research presented in this chapter is part of the Smart. Boundary project supported by the Fonds National de la Recherche in Luxembourg and CNRS in France (ref. INTER/CNRS/12/02). The authors would like also to thank the Grasp Program of LISER for allowing cross-collaboration between the two teams based in Luxembourg and France.; International audience; Urban sprawl and space consumption have become key issues in sustainable territorial development. Traditional planning approaches are often insufficient to anticipate their complex spatial consequences, especially in cross-border areas. Such complexity requires the use of dynamic spatial simulations and the development of…

Cellular automataMarkov chainOperations researchMarkov chainsComputer science0211 other engineering and technologiesUrban sprawl021107 urban & regional planning02 engineering and technology[SHS.GEO]Humanities and Social Sciences/Geography15. Life on landSpace (commercial competition)Cellular automaton[ SHS.GEO ] Humanities and Social Sciences/GeographyProspective13. Climate actionUrban planning11. Sustainability0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingLand use land-use change and forestryLand use scenariosConstraint (mathematics)Spatial analysisCross-border area
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(H, ρ)-induced dynamics and the quantum game of life

2017

Abstract We propose an extended version of quantum dynamics for a certain system S , whose evolution is ruled by a Hamiltonian H, its initial conditions, and a suitable set ρ of rules, acting repeatedly on S . The resulting dynamics is not necessarily periodic or quasi-periodic, as one could imagine for conservative systems with a finite number of degrees of freedom. In fact, it may have quite different behaviors depending on the explicit forms of H, ρ as well as on the initial conditions. After a general discussion on this (H, ρ)-induced dynamics, we apply our general ideas to extend the classical game of life, and we analyze several aspects of this extension.

Cellular automataPure mathematicsQuantum dynamicsFermionic operator01 natural sciences010305 fluids & plasmasModeling and simulationSpectral analysisymbols.namesakeQuantum games0103 physical sciencesSpectral analysis010306 general physicsSettore MAT/07 - Fisica MatematicaFinite setGame of lifeMathematicsMathematical physicsGame of lifeApplied MathematicsCellular automata Fermionic operators Game of life Heisenberg-like dynamics Spectral analysis Modeling and Simulation Applied MathematicsHeisenberg-like dynamicCellular automatonModeling and SimulationsymbolsHamiltonian (quantum mechanics)Applied Mathematical Modelling
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Hot air stream reduces cytotoxicity of light-cured calcium hydroxide based cements

2019

Background The light-cured calcium hydroxide based cements have incomplete polymerization and unconverted monomers can cause pulp cell damage. The aim of this study was to evaluate the influence of a warm and hot air stream on the cytotoxicity of light-cured calcium hydroxide based cements. Material and methods The materials Dycal (conventional cement), Biocal, Hidrox-Cal, and Ultra-Blend Plus (light-cured calcium hydroxide cements) were submitted to cytotoxicity analysis after polymerization, without vs. with previous heat treatment with a warm (37°C) and a hot (60°C) air stream. Following polymerization, cements were maintained in culture medium for 24 hours and 7 days, and subjected to t…

CementAir streamCalcium hydroxideChemistryResearchDental Pulp Cappingtechnology industry and agriculture:CIENCIAS MÉDICAS [UNESCO]Operative Dentistry and Endodonticschemistry.chemical_compoundPolymerizationDental cementUNESCO::CIENCIAS MÉDICASPulp (tooth)CytotoxicityGeneral DentistryNuclear chemistry
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Immediate and long-term microshear bond strength of resin-based cements to core build-up materials

2021

Background To evaluate the microshear bond strength (μ-SBS) between resin-based cements and core build-up materials after water storage. Material and methods Cylinders (1x1 mm) of conventional dual-cure resin cement (RelyX ARC, 3M ESPE), universal dual-cure resin cement (RelyX Ultimate, 3M ESPE) or self-adhesive resin cement (RelyX U200, 3M ESPE) were adhered to disks (6x2 mm) made with commercial core build-up materials (Bis-Core, Bisco or LuxaCore Z, DMG) or conventional nanocomposite resin (Filtek Z350 XT, 3M ESPE). The specimens (n=10) were submitted to μ-SBS test using a universal testing machine and fracture pattern analysis at 48 hours or after 9 months of water storage. The data wer…

CementChange over timeUniversal testing machineNanocompositeMaterials scienceBond strengthResearchComposite numberCore (manufacturing)Operative Dentistry and EndodonticsAdhesiveComposite materialGeneral DentistryUNESCO:CIENCIAS MÉDICASJournal of Clinical and Experimental Dentistry
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