简介：Letm,n,S1,S2,…,Sn,benon-negativeintegerswith0≤m≤n.Assumeμ（S1,S2,…,Sn）={（a1,a2,…,an）|0≤ai≤Siforeachi}isaposer,Where（a1,a2,…,an）<（b1,b2,…,bn）ifandonlyifai

简介：FinitepartintegralsintroducedbyHadamardinconnectionwithhyperbolicpartialdifferentialequations,havebeenusefulinanumberofengineeringapplications.Inthispaperweinvestigatesomenumericalmethodsforcomputingfinite-partintegrals.

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简介：ThispaperstudiesthelongtimebehaviourandtheblowupphenomenonoftheheatflowfortheYang-Mills-Higgsfieldonavectorbundleoveracompact4-dimensionalRiemannianmanifold.

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简介：TheYang-Mills-HiggsfieldgeneralizestheYang-Millsfield.TheauthorsestablishthelocalexistenceanduniquenessoftheweaksolutiontotheheatflowfortheYang-Mills-HiggsfieldinavectorbundleoveracompactRiemannian4-manifold,andshowthattheweaksolutionisgauge-equivalenttoasmoothsolutionandthereareatmostfinitesingularitiesatthemaximumexistingtime.

简介：Hypothesistestingfortheparametriccomponentinthepartiallinearerrors-in-variables(EV)regressionmodelsisdiscussedinthispaper.Basedonthecorrectedprofileleastsquareestimator,fiveteststatisticsareproposedandtheasymptoticnulldistributionsofthemarededuced.Simulationshavebeendonetoshowtheperformanceoftheseteststatisticsundernullandalternativehypothesis.

简介：Inthispaper,westudythedierentiabilityofsolutionsontheboundaryforequationsoftypeLλu=θ2uθx2+jxj2λθ2uθy2=f(x;y),whererisanarbitrarypositivenumber.ByintroducingapropermetricthatisrelatedtotheellipticoperatorLλ,weprovethedierentiabilityontheboundarywhensomewell-posedboundaryconditionsaresatisfied.Themaindicultyistheconstructionofnewbarrierfunctionsinthisarticle.

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简介：Thispaperdescribesanewmethodandalgorithmforthenumericalsolutionofeigenvalueswiththelargestrealpartofpositivematrices.ThemethodisbasedonanumericalimplementationofCollatz’seigenvalueinclusiontheoremfornon-negativeirreduciblematrices.Eigenvaluesareanalyzedforthestudiesofthestabilityoflinearsystems.Finally,anumericaldiscussionisgiventoderivetherequirednumberofmathematicaloperationsofthenewalgorithm.Comparisonsbetweenthenewalgorithmandseveralwellknownones,suchasPower,andQRmethods,arediscussed.

简介：TheexistenceanduniquenessofastrongperiodicsolutionoftheevolutionsystemdescribinggeophysicalflowinboundeddomainsofRN(N=3,4)areprovenifexternalforcesareperiodicintimeandsufficientlysmall.

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