Search results for " symmetric"

showing 10 items of 78 documents

Indefinite integrals involving the incomplete elliptic integrals of the first and second kinds

2016

ABSTRACTA substantial number of indefinite integrals are presented for the incomplete elliptic integrals of the first and second kinds. The number of new results presented is about three times the total number to be found in the current literature. These integrals were obtained with a Lagrangian method based on the differential equations which these functions obey. All results have been checked numerically with Mathematica. Similar results for the incomplete elliptic integral of the third kind will be presented separately.

Abelian integralCarlson symmetric formQuarter periodApplied Mathematics010102 general mathematicsMathematical analysisTrigonometric integral010103 numerical & computational mathematics01 natural sciencesJacobi elliptic functionsLegendre formSlater integralsElliptic integral0101 mathematicsAnalysisMathematicsIntegral Transforms and Special Functions
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Indefinite integrals involving the incomplete elliptic integral of the third kind

2016

ABSTRACTA substantial number of new indefinite integrals involving the incomplete elliptic integral of the third kind are presented, together with a few integrals for the other two kinds of incomplete elliptic integral. These have been derived using a Lagrangian method which is based on the differential equations which these functions satisfy. Techniques for obtaining new integrals are discussed, together with transformations of the governing differential equations. Integrals involving products combining elliptic integrals of different kinds are also presented.

Abelian integralCarlson symmetric formQuarter periodApplied MathematicsMultiple integral010102 general mathematicsMathematical analysisTrigonometric integral010103 numerical & computational mathematics01 natural sciencesJacobi elliptic functionsVolume integralLegendre formApplied mathematics0101 mathematicsAnalysisMathematicsIntegral Transforms and Special Functions
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Atypical CIDP: diagnostic criteria, progression and treatment response. Data from the Italian CIDP Database

2019

ObjectivesA few variants of chronic inflammatory demyelinating polyradiculoneuropathy (CIDP) have been described, but their frequency and evolution to typical CIDP remain unclear. To determine the frequency and characteristics of the CIDP variants, their possible evolution to typical CIDP, and treatment response.MethodsWe applied a set of diagnostic criteria to 460 patients included in a database of Italian patients with CIDP. Clinical characteristics and treatment response were reviewed for each patient. The Kaplan-Meier curve was used to estimate the progression rate from atypical to typical CIDP.ResultsAt the time of inclusion, 376 (82%) patients had a diagnosis of typical CIDP while 84 …

AdultMaleTreatment responselewis-sumner syndromeAdolescentDatabases FactualDisease durationchronic inflammatory demyelinating polyradiculoneuropathy; CIDP; diagnostic criteria; distal acquired demyelinating symmetric neuropathy; lewis-sumner syndrome; Surgery; Neurology (clinical); Psychiatry and Mental HealthKaplan-Meier EstimateCIDPcomputer.software_genreDisease courseYoung Adultlewis–sumner syndrome03 medical and health sciences0302 clinical medicineHumansMedicineIn patientChildAgedRetrospective StudiesAged 80 and overchronic inflammatory demyelinating polyradiculoneuropathyRetrospective reviewdistal acquired demyelinating symmetric neuropathyDatabasebusiness.industryPolyradiculoneuropathyMiddle Agedchronic inflammatory demyelinating polyradiculoneuropathy; CIDP; diagnostic criteria; distal acquired demyelinating symmetric neuropathy; lewis-sumner syndromemedicine.diseasePsychiatry and Mental healthchronic inflammatory demyelinating polyradiculoneuropathy; CIDP; diagnostic criteria; distal acquired demyelinating symmetric neuropathy; lewis-sumner syndrome; surgery; neurology ; psychiatry and mental healthItalyPolyradiculoneuropathy Chronic Inflammatory Demyelinatingdiagnostic criteriaDisease ProgressionFemaleSettore MED/26 - NeurologiaSurgeryProgression rateNeurology (clinical)CIDP; chronic inflammatory demyelinating polyradiculoneuropathy; diagnostic criteria; distal acquired demyelinating symmetric neuropathy; lewis–sumner syndromebusinesscomputer030217 neurology & neurosurgeryJournal of Neurology, Neurosurgery & Psychiatry
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Computing the ℤ2-Cocharacter of 3 × 3 Matrices of Odd Degree

2013

Let F be a field of characteristic 0 and A = M 2, 1(F) the algebra of 3 × 3 matrices over F endowed with the only non trivial ℤ2-grading. Aver'yanov in [1] determined a set of generators for the T 2-ideal of graded identities of A. Here we study the identities in variables of homogeneous degree 1 via the representation theory of the symmetric group, and we determine the decomposition of the corresponding character into irreducibles.

Algebra and Number TheoryDegree (graph theory)Field (mathematics)Polynomial identityCocharacterCombinatoricsSet (abstract data type)GradingSettore MAT/02 - AlgebraCharacter (mathematics)Representation theory of the symmetric groupHomogeneousAlgebra over a fieldMathematicsCommunications in Algebra
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A remark on conjectures in modular representation theory

1987

AlgebraFaithful representationModular representation theoryRepresentation theory of the symmetric groupGeneral MathematicsRestricted representationTrivial representationRepresentation theory of the Poincaré groupReal representationRepresentation theory of finite groupsMathematicsArchiv der Mathematik
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ON AUTOMORPHISMS OF GENERALIZED ALGEBRAIC-GEOMETRY CODES.

2007

Abstract We consider a class of generalized algebraic-geometry codes based on places of the same degree of a fixed algebraic function field over a finite field F / F q . We study automorphisms of such codes which are associated with automorphisms of F / F q .

Algebraic function fieldDiscrete mathematicsAlgebraic cycleFinite fieldFunction field of an algebraic varietyAlgebra and Number TheoryAutomorphisms of the symmetric and alternating groupsAlgebraic extensionAlgebraic geometryAutomorphismMathematics
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Domain decomposition in the symmetric boundary element analysis

2002

Recent developments in the symmetric boundary element method (SBEM) have shown a clear superiority of this formulation over the collocation method. Its competitiveness has been tested in comparison to the finite element method (FEM) and is manifested in several engineering problems in which internal boundaries are present, i.e. those in which the body shows a jump in the physical characteristics of the material and in which an appropriate study of the response must be used. When we work in the ambit of the SBE formulation, the body is subdivided into macroelements characterized by some relations which link the interface boundary unknowns to the external actions. These relations, valid for e…

Applied MathematicsMechanical EngineeringNumerical analysisBoundary element analysisMathematical analysisComputational MechanicsOcean EngineeringDomain decomposition methodsFinite element methodComputational MathematicsComputational Theory and MathematicsCollocation methodCompatibility (mechanics)JumpBoundary element Symmetric boundary element method Macroelements SubstractingSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodMathematicsComputational Mechanics
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Differential Leakage Factor in Electrical Machines Equipped with Asymmetrical Multiphase Windings: a General Investigation

2019

This paper presents an investigation in terms of degree of unbalance and leakage factor of electrical machines equipped with multiphase windings. The analysis has been carried out through 4800 combinations between slots/poles/phases/layers, analyzing the variability of the leakage factor for each condition and determining the optimal region for its minimization. The obtained results demonstrate that the leakage factor could be considerably reduced with the adoption of slightly asymmetrical windings, which represent a favorable option during the early design stage of electrical machines.

Asymmetrical winding; Degree of unbalance; Electrical machines; Leakage factor; Symmetrical winding010302 applied physicsMaterials scienceDesign stage020208 electrical & electronic engineering02 engineering and technologySettore ING-IND/32 - Convertitori Macchine E Azionamenti ElettriciLeakage factorSymmetrical winding01 natural sciencesElectrical machineControl theoryElectromagnetic coilElectrical machinesDegree of unbalance0103 physical sciences0202 electrical engineering electronic engineering information engineeringMinificationAsymmetrical windingLeakage (electronics)2019 Fourteenth International Conference on Ecological Vehicles and Renewable Energies (EVER)
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Indefinite integrals involving complete elliptic integrals of the third kind

2017

ABSTRACTA method developed recently for obtaining indefinite integrals of functions obeying inhomogeneous second-order linear differential equations has been applied to obtain integrals with respect to the modulus of the complete elliptic integral of the third kind. A formula is derived which gives an integral involving the complete integral of the third kind for every known integral for the complete elliptic integral of the second kind. The formula requires only differentiation and can therefore be applied for any such integral, and it is applied here to almost all such integrals given in the literature. Some additional integrals are derived using the recurrence relations for the complete …

Carlson symmetric formAbelian integralPure mathematicsApplied MathematicsMultiple integral010102 general mathematicsMathematical analysisSurface integralLine integralTrigonometric integral010103 numerical & computational mathematicsDarboux integral01 natural sciencesVolume integral0101 mathematicsAnalysisMathematicsIntegral Transforms and Special Functions
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A Lagrangian method for deriving new indefinite integrals of special functions

2015

A new method is presented for obtaining indefinite integrals of common special functions. The approach is based on a Lagrangian formulation of the general homogeneous linear ordinary differential equation of second order. A general integral is derived which involves an arbitrary function, and therefore yields an infinite number of indefinite integrals for any special function which obeys such a differential equation. Techniques are presented to obtain the more interesting integrals generated by such an approach, and many integrals, both previously known and completely new are derived using the method. Sample results are given for Bessel functions, Airy functions, Legendre functions and hype…

Carlson symmetric formApplied MathematicsMathematical analysisTrigonometric integralVolume integralOrder of integration (calculus)Legendre formMathematics - Classical Analysis and ODEsSpecial functionsIntegro-differential equationSlater integralsClassical Analysis and ODEs (math.CA)FOS: MathematicsAnalysisMathematicsIntegral Transforms and Special Functions
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