Search results for " Mathematica"

showing 10 items of 689 documents

Three dimensional reductions of four-dimensional quasilinear systems

2017

In this paper we show that integrable four dimensional linearly degenerate equations of second order possess infinitely many three dimensional hydrodynamic reductions. Furthermore, they are equipped infinitely many conservation laws and higher commuting flows. We show that the dispersionless limits of nonlocal KdV and nonlocal NLS equations (the so-called Breaking Soliton equations introduced by O.I. Bogoyavlenski) are one and two component reductions (respectively) of one of these four dimensional linearly degenerate equations.

Nonlinear Sciences - Exactly Solvable and Integrable SystemsIntegrable system010102 general mathematicsInverse scattering[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]FOS: Physical sciencesStatistical and Nonlinear PhysicsDispersionFirst order01 natural sciencesNonlinear Sciences::Exactly Solvable and Integrable SystemsMathematical methods[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]0103 physical sciences010307 mathematical physicsExactly Solvable and Integrable Systems (nlin.SI)0101 mathematicsTranscendental number theoryNonlinear Sciences::Pattern Formation and SolitonsMathematical PhysicsMathematicsMathematical physics
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On the p-length of some finite p-soluble groups

2014

The main aim of this paper is to give structural information of a finite group of minimal order belonging to a subgroup-closed class of finite groups and whose $p$-length is greater than $1$, $p$ a prime number. Alternative proofs and improvements of recent results about the influence of minimal $p$-subgroups on the $p$-nilpotence and $p$-length of a finite group arise as consequences of our study

Normal subgroupSemidirect productFinite groupPure mathematicsClass (set theory)Direct summandGeneral MathematicsPrime numberGrups Teoria deMaximal subgroupMaximal subgroupNormal subgroupApplications of MathematicsTheoretical Mathematical and Computational PhysicsSemidirect productOrder (group theory)ÀlgebraAlgebra over a fieldFinite groupMATEMATICA APLICADAMathematics
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Affine Surfaces With a Huge Group of Automorphisms

2013

We describe a family of rational affine surfaces S with huge groups of automorphisms in the following sense: the normal subgroup Aut(S)alg of Aut(S) generated by all algebraic subgroups of Aut(S) is not generated by any countable family of such subgroups, and the quotient Aut(S)/Aut(S)alg cointains a free group over an uncountable set of generators.

Normal subgrouprational fibrationsautomorphismsGroup (mathematics)General Mathematics010102 general mathematicsAutomorphism01 natural sciences[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]CombinatoricsMathematics::LogicMathematics - Algebraic GeometryMathematics::Group Theory0103 physical sciencesFree groupCountable setUncountable set[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]010307 mathematical physics0101 mathematicsAlgebraic number14R25 14R20 14R05 14E05affine surfacesQuotientMathematicsInternational Mathematics Research Notices
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Biproportional methods of structural change analysis: A typological survey

2004

International audience; Analysts often are interested in learning how much an exchange system has changed over time or how two different exchange systems differ. Identifying structural difference in exchange matrices can be performed using either 'directed' or 'undirected' methods. Directed methods are based on the computation and comparison of column- or row-normalizations of the matrices. The choice of row or column for the normalization implies a specific direction of the exchanges, so that the column-wise normalized results should not be compared to the row-wise normalized results. In this category fall the simple comparison of coefficient matrices and the causative method. Undirected m…

Normalization (statistics)JEL : C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C67 - Input–Output ModelsEconomics and EconometricsJEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C67 - Input–Output Modelscausative matrixComputationJEL: D - Microeconomics/D.D5 - General Equilibrium and Disequilibrium/D.D5.D57 - Input–Output Tables and AnalysisStructural difference[SHS.ECO]Humanities and Social Sciences/Economics and Financemathematical economicsinput-output analysisJEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C63 - Computational Techniques • Simulation ModelingJEL : C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C63 - Computational Techniques • Simulation ModelingbiproportionMedian filterJEL : D - Microeconomics/D.D5 - General Equilibrium and Disequilibrium/D.D5.D57 - Input–Output Tables and Analysis[ SHS.ECO ] Humanities and Social Sciences/Economies and finances[SHS.ECO] Humanities and Social Sciences/Economics and FinanceAlgorithmMathematicsRAS
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On Fibrations Between Internal Groupoids and Their Normalizations

2018

We characterize fibrations and $$*$$ -fibrations in the 2-category of internal groupoids in terms of the comparison functor from certain pullbacks to the corresponding strong homotopy pullbacks. As an application, we deduce the internal version of the Brown exact sequence for $$*$$ -fibrations from the internal version of the Gabriel–Zisman exact sequence. We also analyse fibrations and $$*$$ -fibrations in the category of arrows and study when the normalization functor preserves and reflects them. This analysis allows us to give a characterization of protomodular categories using strong homotopy kernels and a generalization of the Snake Lemma.

Normalization (statistics)Pure mathematicsInternal groupoid Fibration Strong h-pullback Protomodular categoryGeneral Computer ScienceFibrationSnake lemmaStrong h-pullbackMathematics::Algebraic Topology01 natural sciencesTheoretical Computer ScienceMathematics::Algebraic GeometryMathematics::K-Theory and HomologyMathematics::Category Theory0103 physical sciences0101 mathematicsMathematics::Symplectic GeometryMathematicsExact sequenceInternal groupoidAlgebra and Number TheoryFunctorHomotopy010102 general mathematicsFibrationInternal versionSettore MAT/02 - AlgebraProtomodular categoryTheory of computation010307 mathematical physicsApplied Categorical Structures
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Neutron-proton pairing correlations in a single l-shell model

2017

The long standing problem of neutron-proton pairing correlations is revisited by employing the Hartree-Fock-Bogoliubov formalism with neutron-proton mixing in both the particle-hole and particle-hole channels. We compare numerical calculations performed within this method with an exact pairing model based on the $SO(8)$ algebra. The neutron-proton mixing is included in our calculations by performing rotations in the isospin space using the isocranking technique.

Nuclear TheoryAstrophysics::High Energy Astrophysical PhenomenaNuclear TheoryGeneral Physics and AstronomyFOS: Physical sciences01 natural sciences114 Physical sciencesL-shellNuclear Theory (nucl-th)neutron-proton pairingnuclear physicsQuantum mechanics0103 physical sciencesNeutron0101 mathematicsNuclear ExperimentNuclear theoryPhysicsta114010102 general mathematicsZ NUCLEIFormalism (philosophy of mathematics)IsospinPairing010307 mathematical physicsydinfysiikka
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Fermi-Dirac correlations in Lambda pairs in hadronic Z decays

2000

Two-particle correlations of Lambda Lambda and pairs have been studied in multihadronic Z decays recorded with the ALEPH detector at LEP in the years from 1992 to 1995. The correlations were measured as a function of the four-momentum difference Q of the pair. A depletion of events is observed in the region Q 2 GeV the fraction of pairs with spin one is consistent with the value of 0.75 expected for a statistical spin mixture, whilst for Q pairs, where no Fermi-Dirac correlations are expected, the spin one fraction is measured to be consistent with 0.75 over the entire analysed Q range. (C) 2000 Elsevier Science B.V. All rights reserved.

Nuclear and High Energy PhysicsParticle physicsHadronLambdaALEPH Experiment; LEP; Fermin Dirac correlation01 natural sciencesArticlemathematical analysisNuclear physicsALEPH Experimentsymbols.namesakeArticle; correlation function; depletion; mathematical analysis; measurement; nuclear physicsOpen AccessHumanitiesnuclear physicsOpen ArchivesFermin Dirac correlation0103 physical sciences[PHYS.HEXP]Physics [physics]/High Energy Physics - Experiment [hep-ex]Fermi–Dirac statisticscorrelation function010306 general physicsALEPH experimentSpin-½PhysicsRange (particle radiation)depletion010308 nuclear & particles physicsscientific editionFunction (mathematics)LEPsymbolsHigh Energy Physics::ExperimentmeasurementParticle Physics - Experiment
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Novel mechanism for primordial perturbations in minimal extensions of the Standard Model

2020

Abstract We demonstrate that light spectator fields in their equilibrium can source sizeable CMB anisotropies through modulated reheating even in the absence of direct couplings to the inflaton. The effect arises when the phase space of the inflaton decay is modulated by the spectator which generates masses for the decay products. We call the mechanism indirect modulation and using the stochastic eigenvalue expansion show that it can source perturbations even four orders of magnitude larger than the observed amplitude. Importantly, the indirect mechanism is present in the Standard Model extended with right- handed neutrinos. For a minimally coupled Higgs boson this leads to a novel lower bo…

Nuclear and High Energy PhysicsParticle physicsHiggs Physicshiukkasfysiikka114 Physical sciences01 natural sciencesUpper and lower boundsPhysics Particles & FieldsStandard Model0103 physical scienceslcsh:Nuclear and particle physics. Atomic energy. Radioactivity010306 general physicscosmology of theories beyond the SM0206 Quantum PhysicsPhysicsScience & Technology0105 Mathematical Physics010308 nuclear & particles physicsHiggsin bosoniPhysicshep-thHigh Energy Physics::PhenomenologyHiggs physicshep-phInflatonCosmology of Theories beyond the SMNuclear & Particles PhysicsAmplitudeOrders of magnitude (time)Phase spacePhysical Sciences0202 Atomic Molecular Nuclear Particle and Plasma Physicsastro-ph.COHiggs bosonlcsh:QC770-798NeutrinoJournal of High Energy Physics
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Grafiska integrēšana un diferencēšana. Neperiodiskas līknes nolīdzinājuma atrašana

1931

Saturs: Funkcionāls sakars, tā attēlošana 3 Empirisks un racionāls nolīdzinājums 3 Pieskares konstrukcijas 6 Grafiska integrēšana 7 Grafiska diferencēšana 9 Līkņu veidi un nolīdzinājumi 10 Līkņu nolīdzinājumi pārveidotā koordinātu sistēmā 11 Deformācija 13 Līkņu pazīmes 13 Atsevišķi nolīdzinājumu veidi 17 Nolīdzinājuma atrašana, ja dots līknes zars 20 Piemēri 21 Nolīdzinājuma atrašana, kad doti līknes visi zari un īpaši punkti 25

Numerical differentiationGrafiskā diferencēšanaSkaitliskā integrēšanaNumerical integrationLīknes:MATHEMATICS::Algebra geometry and mathematical analysis::Mathematical analysis [Research Subject Categories]Skaitliskā diferencēšanaGrafiskā statikaSkaitliskā analīze
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VAMPIRE: Vessel assessment and measurement platform for images of the REtina

2011

We present VAMPIRE, a software application for efficient, semi-automatic quantification of retinal vessel properties with large collections of fundus camera images. VAMPIRE is also an international collaborative project of four image processing groups and five clinical centres. The system provides automatic detection of retinal landmarks (optic disc, vasculature), and quantifies key parameters used frequently in investigative studies: vessel width, vessel branching coefficients, and tortuosity. The ultimate vision is to make VAMPIRE available as a public tool, to support quantification and analysis of large collections of fundus camera images.

Opthalmology; image processing; retinaEngineeringVesselgenetic structuresOpthalmologyImage processingRetinal ImagesRetinaRetina; Image; VesselSoftwareMedical imagingmedicineHumansSegmentationComputer visionRetinaSettore INF/01 - Informaticabusiness.industryVampireRetinal VesselsImage segmentationeye diseasesimage processingFractalsVAMPIREmedicine.anatomical_structureImageArtificial intelligenceAdvanced image processing and mathematical modeling techniquesbusinessOptic disc2011 Annual International Conference of the IEEE Engineering in Medicine and Biology Society
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