Search results for " serie"

showing 10 items of 760 documents

On the product of a nilpotent group and a group with non-trivial center

2007

Abstract It is proved that a finite group G = A B which is a product of a nilpotent subgroup A and a subgroup B with non-trivial center contains a non-trivial abelian normal subgroup.

Normal subgroupDiscrete mathematicsComplement (group theory)Algebra and Number TheorySoluble groupMetabelian groupCommutator subgroupCentral seriesFitting subgroupProduct of groupsCombinatoricsMathematics::Group TheorySolvable groupFactorized groupCharacteristic subgroupNilpotent groupMathematicsJournal of Algebra
researchProduct

A Characterization of the Class of Finite Groups with Nilpotent Derived Subgroup

2002

The class of all finite groups with nilpotent commutator subgroup is characterized as the largest subgroup-closed saturated formation 𝔉 for which the 𝔉-residual of a group generated by two 𝔉-subnormal subgroups is the subgroup generated by their 𝔉–residuals.

Normal subgroupDiscrete mathematicsMathematics::Group TheoryPure mathematicsMaximal subgroupGeneral MathematicsCommutator subgroupOmega and agemo subgroupNilpotent groupCharacteristic subgroupCentral seriesFitting subgroupMathematicsMathematische Nachrichten
researchProduct

Propagation pattern analysis during atrial fibrillation based on the adaptive group LASSO.

2012

The present study introduces sparse modeling for the estimation of propagation patterns in intracardiac atrial fibrillation (AF) signals. The estimation is based on the partial directed coherence (PDC) function, derived from fitting a multivariate autoregressive model to the observed signals. A sparse optimization method is proposed for estimation of the model parameters, namely, the adaptive group least absolute selection and shrinkage operator (aLASSO). In simulations aLASSO was found superior to the commonly used least-squares (LS) estimation with respect to estimation performance. The normalized error between the true and estimated model parameters dropped from 0.200.04 for LS estimatio…

Normalization (statistics)Computer scienceBiomedical EngineeringHealth InformaticsGroup lassoSensitivity and SpecificityPattern Recognition AutomatedHeart Conduction SystemStatisticsAtrial FibrillationCoherence (signal processing)AnimalsHumansComputer SimulationDiagnosis Computer-AssistedTime series1707ShrinkageSparse matrixPropagation patternModels CardiovascularReproducibility of ResultsElectroencephalographySignal ProcessingSettore ING-INF/06 - Bioingegneria Elettronica E InformaticaAlgorithmAlgorithmsAnnual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
researchProduct

Tracing the origin of azimuthal gluon correlations in the color glass condensate

2016

We examine the origins of azimuthal correlations observed in high energy proton-nucleus collisions by considering the simple example of the scattering of uncorrelated partons off color fields in a large nucleus. We demonstrate how the physics of fluctuating color fields in the color glass condensate (CGC) effective theory generates these azimuthal multiparticle correlations and compute the corresponding Fourier coefficients v_n within different CGC approximation schemes. We discuss in detail the qualitative and quantitative differences between the different schemes. We will show how a recently introduced color field domain model that captures key features of the observed azimuthal correlati…

Nuclear and High Energy PhysicsParticle physicsNuclear TheoryField (physics)LARGE NUCLEIFOS: Physical sciencesParton01 natural sciencesFLUX TUBES114 Physical sciencesColor-glass condensateNuclear Theory (nucl-th)High Energy Physics - Phenomenology (hep-ph)DEPENDENCE0103 physical sciencesEffective field theorySCATTERINGStatistical physicsLIGHT ION COLLISIONSheavy ion phenomenology010306 general physicsNuclear ExperimentFourier seriesPhysicsta114010308 nuclear & particles physicsScatteringPB COLLISIONSQUARKTRANSVERSE-MOMENTUMENERGY PA-COLLISIONSQCD phenomenologyEVOLUTION3. Good healthGluonAzimuthHigh Energy Physics - PhenomenologyJournal of High Energy Physics
researchProduct

Blowing up Feynman integrals

2008

In this talk we discuss sector decomposition. This is a method to disentangle overlapping singularities through a sequence of blow-ups. We report on an open-source implementation of this algorithm to compute numerically the Laurent expansion of divergent multi-loop integrals. We also show how this method can be used to prove a theorem which relates the coefficients of the Laurent series of dimensionally regulated multi-loop integrals to periods.

Nuclear and High Energy PhysicsPure mathematicsSequenceHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Feynman integralLaurent seriesFOS: Physical sciencesGravitational singularityAtomic and Molecular Physics and OpticsMathematicsBlowing up
researchProduct

Nuclear charge radii of the even sulphur isotopesS32,S34, andS36and ofP31using muonic atoms

1985

Energies of muonic x rays of the Lyman series of the even sulphur isotopes /sup 32/S, /sup 34/S, and /sup 36/S and of natural phosphorus have been determined with absolute precisions up to 23 parts/10/sup 6/. Equivalent Barrett charge radii R/sub k/,..cap alpha.. have been deduced. Their differences between the sulphur isotopes amount to ..delta..R/sub k/,..cap alpha..( /sup 34/S- /sup 32/ S) = 29.7(1.4) am and ..delta..R/sub k/,..cap alpha..( /sup 36/S- /sup 34/ S) = 18.7(1.5) am. Combining these results with recent elastic electron scattering data, we obtain in a model-independent way ..delta../sup 1/2/( /sup 34/S- /sup 3/ 2S) = 23.1(1.2) am and ..delta../sup 1/2/( /sup 36/S- /sup 3/ 4S) …

Nuclear reactionPhysicsElastic scatteringNuclear and High Energy Physicssymbols.namesakeStable isotope ratioLyman seriessymbolsPhosphorus-31 NMR spectroscopyAtomic physicsPhosphorus IsotopesEffective nuclear chargeSpectral linePhysical Review C
researchProduct

Active controlled structural systems under delta-correlated random excitation: linear and nonlinear case

2006

Abstract Reduction of structural vibration in active controlled dynamical system is usually performed by means of convenient control forces dependent of the dynamic response. In this paper the existent studies will be extended to dynamical systems subjected to non-Gaussian random process accounting for the time delay involved in the application of active control actions. Control forces acting with time-delay effects will be expanded in Taylor series evaluating response statistics by means of the extended Ito differential rule to consider the effects of the non-normality of the input processes. Numerical application provided shows the feasibility of the proposed method to analyze stochastic …

Numerical AnalysisDynamical systems theoryStochastic processApplied MathematicsMonte Carlo methodStochastic analysisDynamical systemComputational methodNonlinear systemsymbols.namesakeControl theoryModeling and SimulationDynamic Monte Carlo methodTaylor seriessymbolsReduction (mathematics)Mathematics
researchProduct

Reprint of: Approximate Taylor methods for ODEs

2018

Abstract A new method for the numerical solution of ODEs is presented. This approach is based on an approximate formulation of the Taylor methods that has a much easier implementation than the original Taylor methods, since only the functions in the ODEs, and not their derivatives, are needed, just as in classical Runge–Kutta schemes. Compared to Runge–Kutta methods, the number of function evaluations to achieve a given order is higher, however with the present procedure it is much easier to produce arbitrary high-order schemes, which may be important in some applications. In many cases the new approach leads to an asymptotically lower computational cost when compared to the Taylor expansio…

ODE integratorsGeneral Computer ScienceTaylor methodsMathematicsofComputing_NUMERICALANALYSISGeneral EngineeringOdeFunction (mathematics)Present procedure01 natural sciences010101 applied mathematicsFaĂ  di Bruno's formulasymbols.namesakeTaylor seriessymbolsApplied mathematicsOrder (group theory)0101 mathematicsMathematicsComputers & Fluids
researchProduct

Effectiveness of Safety Warnings in Atypical Antipsychotic Drugs

2009

Studies conducted to obtain drug authorization are often of short duration and based on small sample sizes in selected populations. Policies on drug safety rely on the validity of the methods used to achieve rapid and effective communication of new information. No formal evaluation has ever been made of the Spanish communications system, although indirect data have raised questions about its effectiveness.To evaluate the impact of two safety warnings issued by the Spanish Drug Agency, and of a later prior authorization requirement involving the use of atypical antipsychotic drugs in the elderly.The study was based on a time-series analysis constructed with data corresponding to monthly invo…

Olanzapinemedicine.medical_specialtymedicine.drug_classAtypical antipsychoticToxicologyCommunications systemInterrupted Time Series AnalysisBenzodiazepinesmedicineHumansPharmacology (medical)ZiprasidoneAmisulpridePractice Patterns Physicians'Medical prescriptionPsychiatryAgedPharmacologyRisperidoneDose-Response Relationship DrugInformation Disseminationbusiness.industryRisperidonemedicine.diseaseOlanzapineSpainDrug and Narcotic ControlDementiaMedical emergencybusinessAntipsychotic Agentsmedicine.drugDrug Safety
researchProduct

Proliferation-, estrogen-, and T-cell-related metagenes to predict outcome after adjuvant/neoadjuvant chemotherapy for operable breast cancer in the …

2013

1014 Background: Predicting recurrence in operable breast cancer (BC) despite optimal chemotherapy would be relevant to new drug development and tailored treatments. Methods: A large series (n=3,154) of public Affymetrix gene-expression profiles (GEP) was used to define prognostic/predictive metagenes in different BC subtypes. In ER+/HER2- a proliferation and an ER-related metagene were combined to predict low, intermediate and high risk of recurrence. In TN and in HER2+ a T cell metagene was used to predict low, intermediate and high risk (higher expression associated with lower risk). The metagenes were validated in patients enrolled in the phase III ECTO trial (Gianni L. JCO 2009) and t…

OncologyCancer Researchmedicine.medical_specialtyChemotherapymedicine.drug_classbusiness.industrymedicine.medical_treatmentT cellLarge seriesmedicine.diseaseBreast cancermedicine.anatomical_structureOncologyDrug developmentEstrogenInternal medicinemedicinebusinessAdjuvantJournal of Clinical Oncology
researchProduct