Search results for "7a"

showing 10 items of 161 documents

Resonances over a potential well in an island

2020

In this paper we study the distribution of scattering resonances for a multidimensional semi-classical Schr\"odinger operator, associated to a potential well in an island at energies close to the maximal one that limits the separation of the well and the surrounding sea.

Condensed Matter::Quantum GasesDistribution (number theory)Condensed Matter::OtherScatteringGeneral MathematicsOperator (physics)FOS: Physical sciencesMathematical Physics (math-ph)Mathematics::Spectral TheoryCondensed Matter::Mesoscopic Systems and Quantum Hall Effectsymbols.namesakeMathematics - Analysis of PDEsQuantum mechanicssymbolsFOS: Mathematics35J10 35B34 35P20 47A55Schrödinger's catMathematical PhysicsMathematicsAnalysis of PDEs (math.AP)
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New spaces of matrices with operator entries

2019

In this paper, we will consider matrices with entries in the space of operators $\mathcal{B}(H)$, where $H$ is a separable Hilbert space and consider the class of matrices that can be approached in the operator norm by matrices with a finite number of diagonals. We will use the Schur product with Toeplitz matrices generated by summability kernels to describe such a class and show that in the case of Toeplitz matrices it can be identified with the space of continuous functions with values in $\mathcal B(H)$. We shall also introduce matriceal versions with operator entries of classical spaces of holomorphic functions such as $H^\infty(\mathbb{D})$ and $A(\mathbb{D})$ when dealing with upper t…

Discrete mathematicsClass (set theory)010102 general mathematics010103 numerical & computational mathematicsSpace (mathematics)01 natural sciencesToeplitz matrixFunctional Analysis (math.FA)Mathematics - Functional AnalysisMathematics (miscellaneous)Operator (computer programming)FOS: Mathematics47L10 46E40 (Primary) 47A56 15B05 46G10 (Secondary)Hadamard product0101 mathematicsVector-valued functionComputer Science::DatabasesSeparable hilbert spaceMathematicsSchur multiplier
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On the Russo-Dye Theorem for positive linear maps

2019

Abstract We revisit a classical result, the Russo-Dye Theorem, stating that every positive linear map attains its norm at the identity.

Discrete mathematicsNumerical AnalysisAlgebra and Number Theory010102 general mathematics010103 numerical & computational mathematics01 natural sciencesFunctional Analysis (math.FA)Linear mapMathematics - Functional Analysis47A30 15A60Norm (mathematics)FOS: MathematicsDiscrete Mathematics and CombinatoricsGeometry and Topology0101 mathematicsMathematics
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Structure of distributions generated by the scenery flow

2015

We expand the ergodic theory developed by Furstenberg and Hochman on dynamical systems that are obtained from magnifications of measures. We prove that any fractal distribution in the sense of Hochman is generated by a uniformly scaling measure, which provides a converse to a regularity theorem on the structure of distributions generated by the scenery flow. We further show that the collection of fractal distributions is closed under the weak topology and, moreover, is a Poulsen simplex, that is, extremal points are dense. We apply these to show that a Baire generic measure is as far as possible from being uniformly scaling: at almost all points, it has all fractal distributions as tangent …

Dynamical systems theoryWeak topologyMatemáticasGeneral MathematicsdistributionsDynamical Systems (math.DS)Scenery flowMeasure (mathematics)Matemática PuraFractalPrimary 37A10 28A80 Secondary 28A33 28A75Fractal distributionClassical Analysis and ODEs (math.CA)FOS: MathematicsErgodic theoryscenery flowMathematics - Dynamical SystemsScalingMathematicsCP-processergodic theoryMathematical analysista111Distribution (mathematics)Flow (mathematics)Mathematics - Classical Analysis and ODEsCIENCIAS NATURALES Y EXACTAS
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On-site Experimental Study of HCFC-22 Substitution with HFCs Refrigerants

2012

Abstract The European Regulation no 2037/2000 has banned manufacturing HCFC refrigerants from January 1st 2010, although its use is allowed up to 2015 if the fluids come from a recycling process. This situation creates the need for developing new working fluids to replace the HCFC in the refrigeration plants now in operation. Among all the HCFCs the R22 is the most widely used in a wide range of applications, especially in air conditioning. This paper presents the results of an experimental analysis comparing the performance of a vapour compression refrigerating unit operating with R22, and its performance in comparison to some HFCs fluids, substituting the former. In particular, the plant …

Engineeringbusiness.industryHFCsRefrigerationThermodynamicsR22RefrigerantEnergy(all)Air conditioningSettore ING-IND/10 - Fisica Tecnica IndustrialeHfCR404AR417AR407CbusinessProcess engineeringEnergy Procedia
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Experimental performance evaluation of a vapour compression refrigerating plant when replacing R22 with alternative refrigerants

2011

Abstract This paper presents the results of an experimental analysis comparing the performance of a vapour compression refrigerating unit operating with R22, and its performance in comparison to a new HFC fluid, substituting the former according to Regulation No 2037/2000. In particular, the plant working efficiency was first tested with R22 and then with three new HFC fluids: R417A, R422A and R422D. The investigation verified that despite the case of substitution and the advantage of being able to continue to use mineral oil as a lubricant in the compressor, the performance with the new tested fluids did not result as efficient as when using R22.

Engineeringbusiness.industryMechanical EngineeringAlternative refrigerantThermodynamicsBuilding and ConstructionManagement Monitoring Policy and LawCompression (physics)R22RefrigerantGeneral EnergyR422DmedicineSettore ING-IND/10 - Fisica Tecnica IndustrialeR417ALubricantMineral oilbusinessProcess engineeringR422AGas compressormedicine.drug
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Carbon Monoxide in the Cold Debris of Supernova 1987A

2013

We report spectroscopic and imaging observations of rotational transitions of cold CO and SiO in the ejecta of SN1987A, the first such emission detected in a supernova remnant. In addition to line luminosities for the CO J=1-0, 2-1, 6-5, and 7-6 transitions, we present upper limits for all other transitions up to J=13-12, collectively measured from the Atacama Large Millimeter Array (ALMA), the Atacama Pathfinder EXperiment (APEX), and the Herschel Spectral and Photometric Imaging REceiver (SPIRE). Simple models show the lines are emitted from at least 0.01 solar masses of CO at a temperature > 14 K, confined within at most 35% of a spherical volume expanding at ~ 2000 km/s. Moreover, we…

FOS: Physical sciencesAstrophysicsWAVELENGTHindividual (SN1987A) [supernovae]FACILITYEjectaSupernova remnantSolar and Stellar Astrophysics (astro-ph.SR)3-DIMENSIONAL STRUCTURELine (formation)PhysicsSolar massSN-1987AINSTRUMENTsupernova remnants [ISM]Astronomy and AstrophysicsAtacama Large Millimeter ArrayDebrisSupernovaSpireEJECTACASSIOPEIAPhysics and AstronomyAstrophysics - Solar and Stellar Astrophysics13. Climate actionSpace and Planetary ScienceREMNANTSN 1987A
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Mutations in Myosin VIIA (MYO7A) and Usherin (USH2A) in Spanish patients with usher syndrome types I and II, respectively

2002

Usher syndrome is an autosomal recessive disorder characterized by congenital hearing impairment and retinitis pigmentosa. Three clinical types are known (USH1, USH2 and USH3), and there is an extensive genetic heterogeneity, with at least ten genes implicated. The most frequently mutated genes are MYO7A, which causes USH1B, and usherin, which causes USH2A. We carried out a mutation analysis of these two genes in the Spanish population. Analysis of the MYO7A gene in patients from 30 USH1 families and sporadic cases identified 32% of disease alleles, with mutation Q821X being the most frequent. Most of the remaining variants are private mutations. With regard to USH2, mutation 2299delG was d…

GeneticsMutationMYO7AGenetic heterogeneityUsher syndromeBiologymedicine.disease_causemedicine.diseaseRetinitis pigmentosaotorhinolaryngologic diseasesGeneticsmedicineMutation testingAlleleGeneGenetics (clinical)Human Mutation
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IL-17A induces chromatin remodeling promoting IL-8 and TSLP release in bronchial epithelial cells. Effect of Tiotropium.

IL-17A COPD IL-8 chromatin remodeling
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About Leibniz cohomology and deformations of Lie algebras

2011

We compare the second adjoint and trivial Leibniz cohomology spaces of a Lie algebra to the usual ones by a very elementary approach. The comparison gives some conditions, which are easy to verify for a given Lie algebra, for deciding whether it has more Leibniz deformations than just the Lie ones. We also give the complete description of a Leibniz (and Lie) versal deformation of the 4-dimensional diamond Lie algebra, and study the case of its 5-dimensional analogue.

Leibniz algebraPure mathematicsAlgebra and Number TheoryMathematics::Rings and AlgebrasInfinitesimal deformationK-Theory and Homology (math.KT)17A32 17B56 14D15CohomologyMathematics::K-Theory and HomologyLie algebraMathematics - Quantum AlgebraMathematics - K-Theory and HomologyFOS: MathematicsQuantum Algebra (math.QA)Mathematics
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