Search results for " Opera"

showing 10 items of 3606 documents

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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(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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Improved technique for stereotactic placement of nerve grafts between two locations inside the rat brain

2008

Peripheral nerve grafts have shown the ability to facilitate central axonal growth and regenerate the adult central nervous system. However, the detailed description of a technique for atraumatic graft placement within the brain is lacking. We present a stereotactic procedure to implant a peripheral nerve graft within a rat's brain with minimal brain tissue damage. The procedure permits a correct graft placement joining two chosen points, and the survival and integration of the graft in the host tissue with a light glial reaction, with evidence of central axonal growth inside the graft, at least up to 8 weeks after its implantation. (C) 2008 Elsevier B.V. All rights reserved.

Central nervous systemNigrostriatal pathwayPeripheral nerve graftHost tissueStereotaxic TechniquesMicroscopy Electron TransmissionPeripheral nervemedicineAnimalsRegenerationNigrostriatal pathwaybusiness.industryGeneral NeuroscienceRegeneration (biology)Peripheral nerve graftsBrainAnatomyRat brainSciatic NerveNerve RegenerationRatssurgical procedures operativemedicine.anatomical_structureGrafting stereotactic cannulaStereotactic placementImplantbusiness
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Coupled-cluster theory for atoms and molecules in strong magnetic fields

2015

An implementation of coupled-cluster (CC) theory to treat atoms and molecules in finite magnetic fields is presented. The main challenges for the implementation stem from the magnetic-field dependence in the Hamiltonian, or, more precisely, the appearance of the angular momentum operator, due to which the wave function becomes complex and which introduces a gauge-origin dependence. For this reason, an implementation of a complex CC code is required together with the use of gauge-including atomic orbitals to ensure gauge-origin independence. Results of coupled-cluster singles-doubles-perturbative-triples (CCSD(T)) calculations are presented for atoms and molecules with a focus on the depende…

Chemical Physics (physics.chem-ph)Physics010304 chemical physicsAtoms in moleculesBinding energyFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciencesMagnetic fieldsymbols.namesakeCoupled clusterAtomic orbitalPhysics - Chemical Physics0103 physical sciencessymbolsPhysical and Theoretical ChemistryAtomic physicsAngular momentum operator010306 general physicsHamiltonian (quantum mechanics)The Journal of Chemical Physics
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Toward Three-Dimensional Chemical Imaging of Ternary Cu–Sn–Pb Alloys Using Femtosecond Laser Ablation/Ionization Mass Spectrometry

2017

Femtosecond laser ablation/ionization mass spectrometry (LIMS) has been applied to probe the spatial element composition of three ternary Cu-Sn-Pb model bronze alloys (lead bronzes: CuSn10Pb10, CuSn7Pb15, and CuSn5Pb20), which were recently identified as high-performance cathode materials in the context of electro-organic synthesis (dehalogenation, deoxygenation) of pharmaceutically relevant building blocks. The quantitative and spatially resolved element analysis of such cathode materials will help in understanding the observed profound differences in their electrochemical reactivity and stability. For that purpose, we developed a measurement procedure using the LIMS technique which allows…

Chemical imagingChemistry530 Physics520 Astronomy010401 analytical chemistryAnalytical chemistryContext (language use)02 engineering and technology021001 nanoscience & nanotechnologyElectrochemistry620 Engineering01 natural sciencesCathode0104 chemical sciencesAnalytical Chemistrylaw.inventionlaw540 Chemistry570 Life sciences; biologyReactivity (chemistry)0210 nano-technologyTernary operationChemical compositionDeoxygenation
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Determination of concentrations in ternary and quaternary molecular gas mixtures using femtosecond Raman spectroscopy

2002

Measurements of concentrations in gas mixtures of three and four molecular components are presented. They rely on a femtosecond time-resolved pump–probe technique based on Raman-induced polarization spectroscopy. The rotational time response of the molecular gas mixture is measured as a function of the pump–probe time delay. No selective frequency tunability is needed as the molecular rotational spectra are excited within the laser bandwidth. The results obtained from experiments performed at room temperature in N2O–CO2–N2 and N2O–CO2–O2–N2 mixtures are presented and the accuracy of the method is discussed. Copyright © 2002 John Wiley & Sons, Ltd.

ChemistryAnalytical chemistryPolarization (waves)LaserSpectral linelaw.inventionsymbols.namesakelawExcited stateFemtosecondsymbolsGeneral Materials ScienceRaman spectroscopySpectroscopyTernary operationSpectroscopyJournal of Raman Spectroscopy
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Dopamine interaction with a polyamine cryptand of 1H-pyrazole in the absence and in the presence of Cu(ii) ions. Crystal structure of [Cu2(H−1L](ClO4…

2000

The crystal structure of the binuclear Cu2+ complex [Cu2(H−1L)](ClO4)3 ·2H2O of the cryptand L = 1,4,7,8,11,14,17,20,21,24,29,32,33,36-tetradecaazapentacyclo[12.12.12.1 6,9.119,22,1,31,34]hentetraconta-6,9(41), 19(40), 21,31,34(39)-hexaene is presented; evidence for the formation in solution of binary L–dopamine and ternary Cu2+–L–dopamine complexes is presented.

ChemistryCryptandMetals and AlloysGeneral ChemistryCrystal structurePyrazoleCatalysisSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsIonCrystallographychemistry.chemical_compoundDopamineMaterials ChemistryCeramics and CompositesmedicineTernary operationPolyaminemedicine.drugChemical Communications
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Mn3+ in garnets III. Absence of Jahn-Teller distorition in synthetic Mn3+-bearing garnet

1985

The crystal structure of a ternary Mn3+-bearing garnet, close to the composition Gross34 Spess26 CaMnGt40 has been refined to a weighted R-value of 0.051 for 440 unique reflections. The lattice constant is 11.867(1) A, fractional atomic parameters for oxygen are x=0.0374 (2), y=0.0470 (2), and z=0.6532 (2). Refinement of site occupancies gave 0.81 (3) Ca+0.19 (3) Mn2+ in the eight coordinated site 24c and 0.64 (2) Al+0.36 (2) Mn3+ in the octahedral site 16a. No deviation from the cubic space group Ia3d has been observed, the Mn3+-bearing YO6 octahedron is nearly regular. Thus, the presence of the 3d 4-configurated ion Mn3+ does not cause Jahn-Teller distortion in this garnet structure.

ChemistryJahn–Teller effectMineralogychemistry.chemical_elementCrystal structureOxygenIonCrystallographyLattice constantOctahedronGeochemistry and PetrologyGroup (periodic table)General Materials ScienceTernary operationPhysics and Chemistry of Minerals
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