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

  • 标签: 线性模型参数 假设检验 最小二乘估计 检验统计量 检验问题 回归模型
  • 简介:Inthispaper,weinvestigatethepropertiesofstronglycoapproximationinnormedlinearspacesandlo-cally,convexspaces.Therelationsbetweenstronglycoapproximationandstronglyuniqueapproximationandofthef-coapproximationandf-approximation,arealsoconsidered.

  • 标签: NORMED convex proof TRIVIAL valued Approximation
  • 简介:InthisnotewediscusstheannihilatingpropertiesofsequencesoverZ/(m).Byconsideringthelinearcomplexityandtheannihilatorstructure,wederivetheuniquenessconditionfortheminimalpolynomial,andsomerelatedresultsofdecimationsequences.

  • 标签: Linear complexity OVER Z/(m) UNIQUENESS of
  • 简介:LetGbeanonabelianfinitegroup.ThenIrr(G/G′)isanabeliangroupunderthemultiplicationofcharactersandactsonthesetofnon-linearirreduciblecharactersofGviathemultiplicationofcharacters.Thepurposeofthispaperistoestablishsomefactsabouttheactionoflinearcharactergrouponnon-linearirreduciblecharactersanddeterminethestructuresofgroupsGforwhicheitheralltheorbitkernelsaretrivialorthenumberoforbitsisatmosttwo.Usingtheestablishedresultsonthisaction,itisveryeasytoclassifygroupsGhavingatmostthreenomlinearirreduciblecharacters.

  • 标签: 线性特征群 非线性不可约特征集合 轨道 有限群
  • 简介:由使用矩阵的向量方法,我们关于线性限制学习生长曲线模型。在矩阵损失功能和向量损失功能下面,我们在不同类的线性类上为参数的线性评估者的考虑获得必要、足够的条件。

  • 标签: 矩阵 矢量法 特征值 代数
  • 简介:Thepaperproposestheidentificationmethodoflinearandnon-linearchromatographicsystem.IsothermsandlumpedmasstransfercoefficientsofchromatographyseparatingisomersorbitolandmannitolonD80adsorbentaredetermined.Theanalysesofrootmeansquareerrorofchromatographyelutioncurvesarecarriedout.Theresultsshowthatthesystemstudiedisnon-linearandthetheoreticalelutioncurvesofthenon-linearchromatographicmodelaremoreaccuratethanthoseofthelinearchromatographicmodel,Resultsofparametersensitivityanalysesshowthatelutioncurvesofnon-linearchromatopraphicseparationaremoresensitivetothevariationofparameter“ai”intheadsorptionisothermsQi=Ci^*/(ai+biCi^*)thantothevariationofparameter"bi”aswellaslumpedmasstransfercoefficients.

  • 标签: 非线性色谱分析 系统认证 分离
  • 简介:Thispaperinvestigatesthemathematicfeaturesofnon-linearmodelsanddiscussestheprocessingwayofnon-linearfactorswhichcontributestothenon-linearityofanonlinearmodel.Onthebasisoftheerrordefinition,thispaperputsforwardanewadjustmentcriterion,SGPE.Last,thispaperinvestigatesthesolutionofanon-linearregressionmodelinthenon-linearmodelspaceandmakesthecomparisonbetweentheestimatedvaluesinnon-linearmodelspaceandthoseinlinearmodelspace.

  • 标签: 非线性调节模型 测量误差 精确度 空间非线性模型
  • 简介:Inthispaperwepresentanovelnanoantenna(nantenna)designforenergyharvesting.Thenantennahasan'E'shapeandisplacedonaSiO2substrate.ItsoperationisbasedontheexcitationofsurfaceplasmonpolaritonsthroughthegoldarmsoftheEshape.Byvaryingthelengthsandwidthsofthearms,twooverlappingworkingbandwidthscanbeachieved.Thisresultsinawidebandbehaviorcharacterizedbyafullwidthathalf-maximumofabout2.2μmcenteredaround3.6μm.TwoorthogonalEnantennasareplacedperpendiculartoeachothertorealizeadual-polarizednantenna.Thisnantennacanreceivethetwoincidentpolarizationsattwoseparategaplocationswithveryhighisolation.Theproposedstructurecanbeusedinseveralenergyharvestingapplications,suchasscavengingtheinfraredheatfromtheEarthandotherhotobjects,inadditiontoopticalcommunications.

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  • 简介:Thispaperproposesasufficientcondition,ifthepropertiesofthebilevelprogrammingsatisfiedthecondition,wecansolvethebilevelprogrammingbysolvingsinglelevelprogramming.Itbecomeseasyandsimpletosolvethebilevelprogramming.

  • 标签: 二值编程 堆栈判定 充分条件 单级线性编程
  • 简介:TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.

  • 标签: LINEAR VOLTERRA INTEGRAL EQUATIONS Kurzweil-Henstock INTEGRALS
  • 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。

  • 标签: 图解法 可行域 LINEAR Progranmfing simplexmethod 匈牙利法
  • 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).

  • 标签: 界线性算子 希尔伯特空间 充分必要条件 算子代数 有界
  • 简介:AnalgorithmbasedoneigenanalysistechniqueandWalsh-Hadamardtransform(WHT)isproposed.Thealgorithmcontainstwosteps.Firstly,thereceivedsequenceisdividedintotemporalwindows,andacovariancematrixiscomputed.Thelinearfeedbackshiftregister(LFSR)sequenceisreconstructedfromthefirsteigenvectorofthismatrix.Secondly,equationsaccordingtotherecoveredLFSRsequenceareconstructed,andtheWalshspectrumcorrespondingtotheequationsiscomputed.ThefeedbackpolynomialofLFSRisestimatedfromtheWalshspectrum.Thevalidityofthealgorithmisverifiedbythesimulationresult.Finally,casestudiesarepresentedtoillustratetheperformanceoftheblindreconstructionmethod.

  • 标签: 线性反馈移位寄存器 协方差矩阵 LFSR 哈达玛变换 反馈多项式 基于特征
  • 简介:Alineardirectedforestisadirectedgraphinwhicheverycomponentisadirectedpath.Thelineararboricityla(D)ofadigraphDistheminimumnumberoflineardirectedforestsinDwhoseunioncoversallarcsofD.Foreveryd-regulardigraphD,NakayamaandPerocheconjecturethatla(D)=d+1.Inthispaper,weconsiderthelineararboricityforcompletesymmetricdigraphs,regulardigraphswithhighdirectedgirthandrandomregulardigraphsandweimprovesomewell-knownresults.

  • 标签: Linear arboricity digraph Lovasz Local Lemma
  • 简介:WeknowthatforacodeC,it‘sveryimportanttofindouttheAutomorphismgroupAutCofC.However,itisverydifficulttoseekentireAutC.Inthispaper,usingtheG.Iofmatricesoverafinitefield,wegiveseveralmethodstojudgewhetherapermutationσ∈S_n.(Symmetricgroup)belongstoAutCornot.Theyarehelpfulforthepurposetoex-

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  • 简介:ThispaperdiscussesthesolutionsofthelinearmatrixequationBTXB=Donsomelinearmanifolds.Somenecessaryandsufficientconditionsfortheexistenceofthesolutionandtheexpressionofthegeneralsolutionaregiven.Andalsosomeoptimalapproximationsolutionsarediscussed.

  • 标签: 半定解 线性矩阵方程 线性流形 半定矩阵 正交矩阵
  • 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.

  • 标签: 随机向量 单一分割线性模型 无偏估计 线性转化模型 概率统计