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简介：Inthispaper,weinvestigatethepropertiesofstronglycoapproximationinnormedlinearspacesandlo-cally,convexspaces.Therelationsbetweenstronglycoapproximationandstronglyuniqueapproximationandofthef-coapproximationandf-approximation,arealsoconsidered.

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：Thispaperproposesasufficientcondition,ifthepropertiesofthebilevelprogrammingsatisfiedthecondition,wecansolvethebilevelprogrammingbysolvingsinglelevelprogramming.Itbecomeseasyandsimpletosolvethebilevelprogramming.

简介：TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.

简介：WeknowthatforacodeC,it‘sveryimportanttofindouttheAutomorphismgroupAutCofC.However,itisverydifficulttoseekentireAutC.Inthispaper,usingtheG.Iofmatricesoverafinitefield,wegiveseveralmethodstojudgewhetherapermutationσ∈S_n.(Symmetricgroup)belongstoAutCornot.Theyarehelpfulforthepurposetoex-

简介：ThispaperdiscussesthesolutionsofthelinearmatrixequationBTXB=Donsomelinearmanifolds.Somenecessaryandsufficientconditionsfortheexistenceofthesolutionandtheexpressionofthegeneralsolutionaregiven.Andalsosomeoptimalapproximationsolutionsarediscussed.

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.

简介：三线性二方程的骚乱为k建模吗？蔚，k？蠅和k？1并且非线性的k？1个模型被用于空气动力学、热的汽轮机流动预言。在片上的wake和热转移系数的压力侧面与试验性的数据相比。好同意与线性k被获得吗？1当模特儿。没有重要修正与非线性的模型一起被观察。在片的条款弄醒的运输方程的平衡也被介绍。线性、非线性的k？1个模型被评估预言描述汽轮机流动的三维的旋涡。模拟证明经过旋涡是损失的主要起源。关键词骚乱模型-数字模拟-turbomachineryCLC数字O357.5

简介：WeconsideraclassofABStypealgorithmsforsolvingsystemoflinearinequalities,wherethenumberofinequalitiesdoesnotexceedthenumberofvariables.

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简介：Anewalgorithmispresentedforsolvingasystemoflinearinequalities.Startingatanypointbysolvingaleastsquaresproblemwecaneitherobtainafeasiblepointordeterminethatnosolutionexists.

简介：Animprovedstructureoflineartransconductorispresentedinthispaper.ItisanalyzedintheoryandsimulatedwithSpectrebasedon0.25μmCMOSprocess.Thesimulationresultsshowthatthedifferentialinputvoltageoftheproposedtransconductoris4.0Vpp(peaktopeak),whereasthedifferentialinputvoltageoftheexistingsourcedegenerationstructureis2.2Vpp,whentheirnonlinearerrorsarerequiredtobelessthan0.15%.

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简介：在放大变量的内部点方法建议一条中央路径。在内部点方法的中央路径的角色；方法论；结果和讨论。

简介：在这份报纸，我们建议二新不安单一的变体。没有介绍人工的变量，解决线性编程问题，二的各个使用双枢规则完成最初的可行性，然后最初的枢规则完成optimality。第二个算法，修正第一，被设计更高效地处理高度退化的问题。有关不安的优点的一些有趣的结果被建立。从初步的测试的数字结果也被报导。[从作者抽象]

简介：Borderedlinearsystemsarisefrommanyindustrialapplications,suchasreservoirsimulationandstructuralengineering.TraditionalILUpreconditionerswhichthrowawaytheadditionalequationsareoftentoocrudeforthesesystems.WedescribeapracticalimplementationofILUpreconditionerswhicharemoreaccurateandmorerobust.Theemphasisofthispaperisonimplementationratherthanontheory.