Search results for " number"

showing 10 items of 3473 documents

Charged charmonium molecules

2010

We make use of a self-consistent quark-model based study of four-quark charmonium-like states to interpret recent charmonium experimental data. We conclude that there exists a ${D}^{*}{\overline{D}}^{*}$ meson-meson molecule with quantum numbers $({I}^{G}){J}^{PC}=({1}^{\ensuremath{-}}){2}^{++}$. Our study confirms the presence of charged charmonium-like resonances on the excited charmonium spectrum. We find support from recent experimental data by the Belle Collaboration [R. Mizuk et al. (Belle Collaboration), Phys. Rev. D 78, 072004 (2008)]. Confirmation of the experimental data by the Belle Collaboration and the determination of the quantum numbers of the new structures would help in dis…

QuarkPhysicsNuclear and High Energy PhysicsParticle physicsMesonHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyHadronQuark modelElementary particleQuantum numberQuarkoniumExcited stateHigh Energy Physics::ExperimentPhysical Review D
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A Method for Designing Tools for Information Retrieval from Documents

1987

The paper describes an experimental document database language. It consists of document database extensions to Prolog. An extended Prolog is suitable for specifying, prototyping, and in some cases also for implementing information retrieval tools.

Line numberPrologInformation retrievalComputer scienceHuman–computer information retrievalRelevance (information retrieval)Document type definitioncomputercomputer.programming_language
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Monte Carlo simulation of many-arm star polymers in two-dimensional good solvents in the bulk and at a surface

1991

A Monte Carlo technique is proposed for the simulation of statistical properties of many-arm star polymers on lattices. In this vectorizing algorithm, the length of each arml is increased by one, step by step, from a starting configuration withl=1 orl=2 which is generated directly. This procedure is carried out for a large sample (e.g., 100,000 configurations). As an application, we have studied self-avoiding stars on the square lattice with arm lengths up tol max=125 and up tof=20 arms, both in the bulk and in the geometry where the center of the star is adsorbed on a repulsive surface. The total number of configurations, which behaves asN∼l γ G–1μ fl , whereμ=2.6386 is the usual effective…

Distribution functionCoordination numberMonte Carlo methodStatistical and Nonlinear PhysicsGeometryStar (graph theory)Radial distribution functionSquare latticeMolecular physicsCritical exponentMathematical PhysicsSelf-avoiding walkMathematicsJournal of Statistical Physics
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On a topological interpretation of electronic and vibrational molecular energies

1998

Abstract A relationship between Randic's connectivity index and various quantum mechanical parameters derived from the Huckel Molecular Orbital (HMO) approach is demonstrated. When applied to conjugated hydrocarbons, this index represents the measure of the global π electron molecular energy and, therefore, of the resonance energy. Moreover, the development of the procedure, allows the introduction of a new definition of the bond order which, in turn, makes possible a better prediction not only for bond lengths of naphtalene but also for the resonance integral and conjugation energy for butadiene. Also, a corrected value for the Randic index is deduced, which allows for the reduction of the…

ChemistryElectronCondensed Matter PhysicsBiochemistryBond orderMolecular physicsResonance (particle physics)Measure (mathematics)Bond lengthQuantum mechanicsTopological indexMolecular orbitalPhysical and Theoretical ChemistryTopological quantum numberJournal of Molecular Structure: THEOCHEM
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Aircraft wing rock oscillations suppression by simple adaptive control

2020

Abstract Roll angular motion of the modern aircraft operating in non-linear flight modes with a high angle of attack often demonstrates the limit cycle oscillations, which is commonly known as the wing rock phenomenon. Wing rock dynamics are represented by a substantially non-linear model, with parameters varying over a wide range, depending on the flight conditions (altitude, Mach number, payload mass, etc.) and angle of attack. A perspective approach of the wing rock suppression lies in the adaptation methods. In the present paper an application of the simple adaptive control approach with the Implicit Reference Model (IRM) is proposed and numerically studied. The IRM adaptive controller …

0209 industrial biotechnologyAdaptive controlComputer scienceAngle of attackAerospace Engineering02 engineering and technology01 natural sciences010305 fluids & plasmaslaw.inventionsymbols.namesake020901 industrial engineering & automationCircular motionAileronMach numberControl theorylawRange (aeronautics)0103 physical sciencesTrajectorysymbolsAerospace Science and Technology
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Experimental investigation of holes interaction effect on the sound absorption coefficient of micro-perforated panels under high and medium sound lev…

2011

Abstract This paper experimentally investigates the holes interaction effect on the sound absorption coefficient of micro-perforated panels under high and medium sound levels. The theoretical formulations are based on a semi-empirical approach and the use of Fok’s function to model the acoustic surface impedance. For the high sound level regime, an empirical power law involving three coefficients is adapted. It is shown theoretically and experimentally that these coefficients can lead to optimized absorption performance and particularly, a formula relating the critical Reynolds number (Reynolds number value after which the absorption coefficient decreases with the increase of sound level) a…

Absorption (acoustics)Materials scienceAcoustics and Ultrasonicsbusiness.industryPerforation (oil well)Reynolds numberMechanicssymbols.namesakeNonlinear systemNoise reduction coefficientOpticsAttenuation coefficientsymbolsNoise controlSound pressurebusinessApplied Acoustics
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Three-page encoding and complexity theory for spatial graphs

2004

We construct a series of finitely presented semigroups. The centers of these semigroups encode uniquely up to rigid ambient isotopy in 3-space all non-oriented spatial graphs. This encoding is obtained by using three-page embeddings of graphs into the product of the line with the cone on three points. By exploiting three-page embeddings we introduce the notion of the three-page complexity for spatial graphs. This complexity satisfies the properties of finiteness and additivity under natural operations.

Discrete mathematics[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Algebra and Number TheoryDegree (graph theory)Semigroup010102 general mathematicsGeometric topologyGeometric Topology (math.GT)01 natural sciences57M25 57M15 57M05Combinatorics010104 statistics & probabilityMathematics - Geometric TopologyCone (topology)Additive functionEncoding (memory)[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]FOS: Mathematics0101 mathematicsUnit (ring theory)Ambient isotopyMathematics[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]MathematicsofComputing_DISCRETEMATHEMATICS
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Characterization and Extraction of Irredundant Tandem Motifs

2012

We address the problem of extracting pairs of subwords (m1,m2) from a text string s of length n, such that, given also an integer constant d in input, m1 and m2 occur in tandem within a maximum distance of d symbols in s. The main effort of this work is to eliminate the possible redundancy from the candidate set of the so found tandem motifs. To this aim, we first introduce the concept of maximality, characterized by four specific conditions, that we show to be not deducible by the corresponding notion of maximality already defined for "simple" (i.e., non tandem) motifs. Then, we further eliminate the remaining redundancy by defining the concept of irredundancy for tandem motifs. We prove t…

Discrete mathematicsRedundancy (information theory)TandemMotif extraction Pattern discoveryText stringLinear numberMathematics
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On the empirical spectral distribution for certain models related to sample covariance matrices with different correlations

2021

Given [Formula: see text], we study two classes of large random matrices of the form [Formula: see text] where for every [Formula: see text], [Formula: see text] are iid copies of a random variable [Formula: see text], [Formula: see text], [Formula: see text] are two (not necessarily independent) sets of independent random vectors having different covariance matrices and generating well concentrated bilinear forms. We consider two main asymptotic regimes as [Formula: see text]: a standard one, where [Formula: see text], and a slightly modified one, where [Formula: see text] and [Formula: see text] while [Formula: see text] for some [Formula: see text]. Assuming that vectors [Formula: see t…

Statistics and ProbabilityPhysicsAlgebra and Number TheorySpectral power distributionComputer Science::Information RetrievalProbability (math.PR)Astrophysics::Instrumentation and Methods for AstrophysicsBlock (permutation group theory)Marchenko–Pastur lawComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Bilinear form60F05 60B20 47N30Sample mean and sample covarianceCombinatoricsConvergence of random variablesFOS: Mathematicssample covariance matricesComputer Science::General LiteratureDiscrete Mathematics and CombinatoricsRandom matriceshigh dimensional statisticsStatistics Probability and UncertaintyRandom matrixRandom variableMathematics - ProbabilityRandom Matrices: Theory and Applications
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Two-view “cylindrical decomposition” of binary images

2001

This paper describes the discrete cylindrical algebraic decomposition (DCAD) construction along two orthogonal views of binary images. The combination of two information is used to avoid ambiguities for image recognition purposes. This algorithm associates an object connectivity graph to each connected component, allowing a complete description of the structuring information. Moreover, an easy and compact representation of the scene is achieved by using strings in a five letter alphabet. Examples on complex digital images are also provided. © 2001 Elsevier Science Inc.

Connected componentNumerical AnalysisAlgebra and Number TheoryTheoretical computer scienceSettore INF/01 - InformaticaBinary imageObject (computer science)StructuringCylindrical algebraic decompositionString representationDigital imageImage decompositionComputer Science::Computer Vision and Pattern RecognitionDecomposition (computer science)Discrete Mathematics and CombinatoricsGeometry and TopologyRepresentation (mathematics)AlgorithmShape descriptionMathematicsLinear Algebra and its Applications
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