Search results for "Numbers"

showing 10 items of 128 documents

Experimental Constraint on Axionlike Particles over Seven Orders of Magnitude in Mass

2021

We use our recent electric dipole moment (EDM) measurement data to constrain the possibility that the HfF+ EDM oscillates in time due to interactions with candidate dark matter axionlike particles (ALPs). We employ a Bayesian analysis method which accounts for both the look-elsewhere effect and the uncertainties associated with stochastic density fluctuations in the ALP field. We find no evidence of an oscillating EDM over a range spanning from 27 nHz to 400 mHz, and we use this result to constrain the ALP-gluon coupling over the mass range 10-22-10-15 eV. This is the first laboratory constraint on the ALP-gluon coupling in the 10-17-10-15 eV range, and the first laboratory constraint to pr…

PhysicsRange (particle radiation)Field (physics)Dark matterGeneral Physics and AstronomyOrders of magnitude (numbers)Coupling (probability)01 natural sciencesPhysics::GeophysicsConstraint (information theory)Electric dipole moment0103 physical sciencesPhysics::Atomic PhysicsAtomic physics010306 general physics
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Hyperboloidal slicing approach to quasinormal mode expansions: The Reissner-Nordström case

2018

We study quasi-normal modes of black holes, with a focus on resonant (or quasi-normal mode) expansions, in a geometric frame based on the use of conformal compactifications together with hyperboloidal foliations of spacetime. Specifically, this work extends the previous study of Schwarzschild in this geometric approach to spherically symmetric asymptotically flat black hole spacetimes, in particular Reissner-Nordstr\"om. The discussion involves, first, the non-trivial technical developments needed to address the choice of appropriate hyperboloidal slices in the extended setting as well as the generalization of the algorithm determining the coefficients in the expansion of the solution in te…

PhysicsSpacetime010308 nuclear & particles physicsGeneral relativitynumbers: 0425dgCauchy distributionalternative theories of gravityConformal map04.30.-w16. Peace & justice01 natural sciencesSlicingGeneral Relativity and Quantum CosmologyTheoretical physicsGeneral Relativity and Quantum Cosmology02.30.MvGeneral relativityRegularization (physics)0103 physical sciencesQuasinormal mode[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]010306 general physicsSchwarzschild radiusPhysical Review D
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Matrix algebras with degenerate traces and trace identities

2022

In this paper we study matrix algebras with a degenerate trace in the framework of the theory of polynomial identities. The first part is devoted to the study of the algebra $D_n$ of $n \times n$ diagonal matrices. We prove that, in case of a degenerate trace, all its trace identities follow by the commutativity law and by pure trace identities. Moreover we relate the trace identities of $D_{n+1}$ endowed with a degenerate trace, to those of $D_n$ with the corresponding trace. This allows us to determine the generators of the trace T-ideal of $D_3$. In the second part we study commutative subalgebras of $M_k(F)$, denoted by $C_k$ of the type $F + J$ that can be endowed with the so-called st…

PolynomialAlgebra and Number TheoryTrace (linear algebra)Trace algebrasDiagonal matricesDegenerate energy levelsMathematics - Rings and AlgebrasType (model theory)Polynomial identitiesStirling numbersCombinatoricsMatrix (mathematics)Settore MAT/02 - Algebra16R10 16R30 16R50Rings and Algebras (math.RA)Diagonal matrixFOS: MathematicsDegenerate tracesAlgebra over a fieldCommutative propertyTrace algebras; Polynomial identities; Diagonal matrices; Degenerate traces; Stirling numbersMathematics
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Search for new particles in two-jet final states in 7 TeV proton-proton collisions with the ATLAS detector at the LHC

2010

19 páginas, 2 figuras, 1 tabla.-- et al.(ATLAS Collaboration).

ProtonAtlas detectorPhysics::Instrumentation and DetectorsPhysics beyond the Standard ModelGeneral Physics and AstronomyJet (particle physics)particle physic01 natural sciencesSettore FIS/04 - Fisica Nucleare e SubnucleareHigh Energy Physics - ExperimentHigh Energy Physics - Experiment (hep-ex)12.60.Rcddc:550[PHYS.HEXP]Physics [physics]/High Energy Physics - Experiment [hep-ex]13.87.CeQCPhysicsPACS numbers: 13.85.Rm 12.60.Rc 13.87.Ce 14.80.-jLarge Hadron ColliderLuminosity (scattering theory)Cross sectionAcceleradors de partículesSettore FIS/01 - Fisica Sperimentale14.80.-jATLASnumbers: 13.85.Rm3. Good healthDijetsmedicine.anatomical_structureComputingMethodologies_DOCUMENTANDTEXTPROCESSINGTWO-JETSLHCParticle Physics - ExperimentjetsFinal stateParticle physicsCiências Naturais::Ciências Físicas:Ciências Físicas [Ciências Naturais]FOS: Physical sciencesddc:500.2530Partícules (Física nuclear)Nuclear physicsCross section (physics)Excited QuarksAtlas (anatomy)0103 physical sciencesmedicine010306 general physicsIntegrated luminosityProton proton collisionsParton Distributions010308 nuclear & particles physicsATLAS detectorsHigh Energy Physics::PhenomenologyFísicaPARTON DISTRIBUTIONS HADRON COLLIDERS EXCITED QUARKS DIJETSHadron CollidersHeavy particlesLHC ; ATLAS ; Collisions ; 7 TeV ; Two jets ; ResonancesExperimental High Energy PhysicsNEW PARTICLESproton-proton collisionsHigh Energy Physics::Experimentcollider
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Characteristic numbers of non‐autonomous emden‐fowler type equations

2006

We consider the Emden‐Fowler equation x” = ‐q(t)|x|2εx, ε > 0, in the interval [a,b]. The coefficient q(t) is a positive valued continuous function. The Nehari characteristic number An associated with the Emden‐Fowler equation coincides with a minimal value of the functional [] over all solutions of the boundary value problem x” = ‐q(t)|x|2εx, x(a) = x(b) = 0, x(t) has exactly (n ‐ 1) zeros in (a, b). The respective solution is called the Nehari solution. We construct an example which shows that the Nehari extremal problem may have more than one solution. First Published Online: 14 Oct 2010

Pure mathematicsContinuous function (set theory)Mathematical analysisNehari's solutionsValue (computer science)Interval (mathematics)-Type (model theory)Emden‐Fowler equationModeling and SimulationQA1-939Boundary value problemAnalysisCharacteristic numberMathematicsMathematicscharacteristic numbersMathematical Modelling and Analysis
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On defects of characters and decomposition numbers

2017

We propose upper bounds for the number of modular constituents of the restriction modulo [math] of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.

Pure mathematicsModulodefect of charactersGroup Theory (math.GR)01 natural sciences0103 physical sciencesComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONDecomposition (computer science)FOS: Mathematics0101 mathematicsRepresentation Theory (math.RT)Mathematics20C20Finite groupAlgebra and Number Theorybusiness.industry010102 general mathematicsModular design20C20 20C33Character (mathematics)heights of charactersdecomposition numbers20C33010307 mathematical physicsbusinessMathematics - Group TheoryMathematics - Representation Theory
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Vanishing chiral couplings in the large-Nc resonance theory

2007

5 pages, 2 figures.-- PACS nrs.: 12.39.Fe; 11.15.Pg; 12.38.-t.-- ISI Article Identifier: 000247625300022.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-ph/0611375

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsChiral perturbation theory[PACS] Chiral Lagrangians in quark modelsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyForm factor (quantum field theory)FOS: Physical sciencesPerturbation theoryResonance (particle physics)Low-energy constantsHigh Energy Physics - Phenomenologysymbols.namesake[PACS] Expansions for large numbers of components (e.g. 1/Nc expansions) in gauge theoriesHigh Energy Physics - Phenomenology (hep-ph)Quantum Chromodynamics (QCD)Resonance theorysymbolsPerturbation theoryChirality (chemistry)Lagrangian
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Banach spaces of general Dirichlet series

2018

Abstract We study when the spaces of general Dirichlet series bounded on a half plane are Banach spaces, and show that some of those classes are isometrically isomorphic between themselves. In a precise way, let { λ n } be a strictly increasing sequence of positive real numbers such that lim n → ∞ ⁡ λ n = ∞ . We denote by H ∞ ( λ n ) the complex normed space of all Dirichlet series D ( s ) = ∑ n b n λ n − s , which are convergent and bounded on the half plane [ Re s > 0 ] , endowed with the norm ‖ D ‖ ∞ = sup Re s > 0 ⁡ | D ( s ) | . If (⁎) there exists q > 0 such that inf n ⁡ ( λ n + 1 q − λ n q ) > 0 , then H ∞ ( λ n ) is a Banach space. Further, if there exists a strictly increasing sequ…

SequenceApplied Mathematics010102 general mathematicsBanach space01 natural sciences010101 applied mathematicsCombinatoricssymbols.namesakeBounded functionsymbolsLinear independence0101 mathematicsPositive real numbersGeneral Dirichlet seriesAnalysisDirichlet seriesMathematicsNormed vector spaceJournal of Mathematical Analysis and Applications
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Appraising building area’s index numbers using repeat values model. A case study in Paternò (CT)

2013

The knowledge of real estate prices trend over time is requisite to understand and expect dynamics of real estate market, and is useful to construct index numbers of real estate prices, numerical indicators exploitable to understand real estate profitability and land phenomena in different market segments. This work aims at the construction of prices index numbers relevant to building area site in the town of Paternò, in Catania province, and at the corresponding hedonic prices index numbers linked to the main real estate characteristics in the space of a period that goes from 2004 to 2012. The proposed methodology allows to build the index numbers of the building area’s unit prices in the …

Settore ICAR/22 - EstimoIndex numbers hedonic prices building area
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Pressure drop at low reynolds numbers in woven-spacer-filled channels for membrane processes: CFD prediction and experimental validation

2017

The energy consumption due to pumping power is a crucial issue in membrane processes. Spacers provide mechanical stability and promote mixing, yet increasing pressure drop. Woven spacers and their behaviour at low Reynolds numbers are less studied in the literature. Nevertheless, they are typical of some membrane technologies, as reverse electrodialysis (RED). RED is a promising technology for electric power generation by the chemical potential difference of two salt solutions within a stack equipped by selective ion-exchange membranes. The mechanical energy required for pumping the feed solutions, can dramatically reduce the net power output. In this work computational fluid dynamics (CFD)…

Settore ING-IND/26 - Teoria Dello Sviluppo Dei Processi ChimiciMaterials scienceSettore ING-IND/25 - Impianti Chimici02 engineering and technology010501 environmental sciencesComputational fluid dynamics01 natural sciencessymbols.namesakeReverse electrodialysiMembrane processesLow Reynolds numberPressure dropWoven spacer; Pressure drop; Low Reynolds numbers; CFD; Reverse electrodialysis; Membrane processesWoven spacerSettore ING-IND/19 - Impianti Nucleari0105 earth and related environmental sciencesPressure dropbusiness.industryReynolds numberMechanicsExperimental validation021001 nanoscience & nanotechnologyMembranesymbolsSettore ING-IND/06 - Fluidodinamica0210 nano-technologybusinessCFD
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