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简介:Hypothesistestingfortheparametriccomponentinthepartiallinearerrors-in-variables(EV)regressionmodelsisdiscussedinthispaper.Basedonthecorrectedprofileleastsquareestimator,fiveteststatisticsareproposedandtheasymptoticnulldistributionsofthemarededuced.Simulationshavebeendonetoshowtheperformanceoftheseteststatisticsundernullandalternativehypothesis.
简介:InthisnotewediscusstheannihilatingpropertiesofsequencesoverZ/(m).Byconsideringthelinearcomplexityandtheannihilatorstructure,wederivetheuniquenessconditionfortheminimalpolynomial,andsomerelatedresultsofdecimationsequences.
简介:LetGbeanonabelianfinitegroup.ThenIrr(G/G′)isanabeliangroupunderthemultiplicationofcharactersandactsonthesetofnon-linearirreduciblecharactersofGviathemultiplicationofcharacters.Thepurposeofthispaperistoestablishsomefactsabouttheactionoflinearcharactergrouponnon-linearirreduciblecharactersanddeterminethestructuresofgroupsGforwhicheitheralltheorbitkernelsaretrivialorthenumberoforbitsisatmosttwo.Usingtheestablishedresultsonthisaction,itisveryeasytoclassifygroupsGhavingatmostthreenomlinearirreduciblecharacters.
简介:Thepaperproposestheidentificationmethodoflinearandnon-linearchromatographicsystem.IsothermsandlumpedmasstransfercoefficientsofchromatographyseparatingisomersorbitolandmannitolonD80adsorbentaredetermined.Theanalysesofrootmeansquareerrorofchromatographyelutioncurvesarecarriedout.Theresultsshowthatthesystemstudiedisnon-linearandthetheoreticalelutioncurvesofthenon-linearchromatographicmodelaremoreaccuratethanthoseofthelinearchromatographicmodel,Resultsofparametersensitivityanalysesshowthatelutioncurvesofnon-linearchromatopraphicseparationaremoresensitivetothevariationofparameter“ai”intheadsorptionisothermsQi=Ci^*/(ai+biCi^*)thantothevariationofparameter"bi”aswellaslumpedmasstransfercoefficients.
简介:Thispaperinvestigatesthemathematicfeaturesofnon-linearmodelsanddiscussestheprocessingwayofnon-linearfactorswhichcontributestothenon-linearityofanonlinearmodel.Onthebasisoftheerrordefinition,thispaperputsforwardanewadjustmentcriterion,SGPE.Last,thispaperinvestigatesthesolutionofanon-linearregressionmodelinthenon-linearmodelspaceandmakesthecomparisonbetweentheestimatedvaluesinnon-linearmodelspaceandthoseinlinearmodelspace.
简介:Inthispaperwepresentanovelnanoantenna(nantenna)designforenergyharvesting.Thenantennahasan'E'shapeandisplacedonaSiO2substrate.ItsoperationisbasedontheexcitationofsurfaceplasmonpolaritonsthroughthegoldarmsoftheEshape.Byvaryingthelengthsandwidthsofthearms,twooverlappingworkingbandwidthscanbeachieved.Thisresultsinawidebandbehaviorcharacterizedbyafullwidthathalf-maximumofabout2.2μmcenteredaround3.6μm.TwoorthogonalEnantennasareplacedperpendiculartoeachothertorealizeadual-polarizednantenna.Thisnantennacanreceivethetwoincidentpolarizationsattwoseparategaplocationswithveryhighisolation.Theproposedstructurecanbeusedinseveralenergyharvestingapplications,suchasscavengingtheinfraredheatfromtheEarthandotherhotobjects,inadditiontoopticalcommunications.
简介:TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.
简介:研究用图解法、simplexmethod和匈牙利法建立LinearProgramming的数学模型并求得了最优解.结果表明:对仅有两个变量的LinearProgramming,既可通过图解法求得最优解;也可用单纯形表简便地求得最优解;而对任务和人数不等的assignmentproblem,则用匈牙利法求最优解。
简介:LetB(H)bethealgebraofalltheboundedlinearoperatorsonaHilbertspaceH.ForA,PandQinB(H),ifthereexistsanoperatorX∈B(H)suchthatAPXQA=A,XQAPX=X,(QAPX)*=QAPXand(XQAP)*=XQAP,thenXissaidtobetheΓ-inverseofAassociatedwithPandQ,anddenotedbyAP,Q+.Inthisnote,wepresentsomenecessaryandsu?cientconditionsforwhichA+P,Qexists,andgiveanexplicitrepresentationofAP,Q+(ifAP,Q+exists).
简介:AnalgorithmbasedoneigenanalysistechniqueandWalsh-Hadamardtransform(WHT)isproposed.Thealgorithmcontainstwosteps.Firstly,thereceivedsequenceisdividedintotemporalwindows,andacovariancematrixiscomputed.Thelinearfeedbackshiftregister(LFSR)sequenceisreconstructedfromthefirsteigenvectorofthismatrix.Secondly,equationsaccordingtotherecoveredLFSRsequenceareconstructed,andtheWalshspectrumcorrespondingtotheequationsiscomputed.ThefeedbackpolynomialofLFSRisestimatedfromtheWalshspectrum.Thevalidityofthealgorithmisverifiedbythesimulationresult.Finally,casestudiesarepresentedtoillustratetheperformanceoftheblindreconstructionmethod.
简介:Alineardirectedforestisadirectedgraphinwhicheverycomponentisadirectedpath.Thelineararboricityla(D)ofadigraphDistheminimumnumberoflineardirectedforestsinDwhoseunioncoversallarcsofD.Foreveryd-regulardigraphD,NakayamaandPerocheconjecturethatla(D)=d+1.Inthispaper,weconsiderthelineararboricityforcompletesymmetricdigraphs,regulardigraphswithhighdirectedgirthandrandomregulardigraphsandweimprovesomewell-knownresults.
简介:WeknowthatforacodeC,it‘sveryimportanttofindouttheAutomorphismgroupAutCofC.However,itisverydifficulttoseekentireAutC.Inthispaper,usingtheG.Iofmatricesoverafinitefield,wegiveseveralmethodstojudgewhetherapermutationσ∈S_n.(Symmetricgroup)belongstoAutCornot.Theyarehelpfulforthepurposetoex-
简介:ConsiderthepartitionedlinearregressionmodelA=(y,X1β1+X2β2,σ^2V)anditsfourreducedlinearmodels,whereyisann×1observablerandomvectorwithE(y)=XβanddispersionmatrixVar(y)=σ^2V,whereσ^2isanunknownpositivescalar,Visann×nknownsymmetricnonnegativedefinitematrix,X=(X1:X2)isann×(p+q)knowndesignmatrixwithrank(X)=r≤(p+q),andβ=(β'1:β'2)'withβ1andβ2beingp×1andq×1vectorsofunknownparameters,respectively.InthisarticletheformulaeforthedifferencesbetweenthebestlinearunbiasedestimatorsofM2X1β1underthemodelAanditsbestlinearunbiasedestimatorsunderthereducedlinearmodelsofAaregiven,whereM2=I-X2X2^+.Furthermore,thenecessaryandsufficientconditionsfortheequalitiesbetweenthebestlinearunbiasedestimatorsofM2X1β1underthemodelAandthoseunderitsreducedlinearmodelsareestablished.Lastly,wealsostudytheconnectionsbetweenthemodelAanditslineartransformationmodel.