简介:在这份报纸,我们学习可矫正的水流由subgradient(subdifferential)带了的整数复合一个n维的凸的领域上的半凸的功能的图,和表演关于为如此的水流的pointwise集中的一条弱连续性定理。作为应用,为半凸的功能的Lagrangian水流的结构定理被给,k麻袋布措施以水流由一个不同方法是计算的。
简介:LetXbeaBanachspaceand{ej}j=1beasequenceinX.Theauthorshowse∞that{ej}∞j+1isabasicsequenceifandonlyif∑n∞=1rnαnjconvergesforeveryj>1ande∞-∞∞e∑∞n=1rn∑∞j=1αnjej=∑j=1(∑∞n=1rnαnj)jholdsforeverychoiceofscalarvariables{αnj}suchthat∑∞n=1αnjejconvergesforeachn>-1andanychoiceofscalarvariables{rn}suchthat∑∞n+1∑∞f=1rnαnjejconverges.Moreover,someapplicationsabouttheresultaregiven.
简介:性质awc1被许多作者使用由弱Chebyshevsubspaces的元素有关近似获得结果。在这份报纸,作者在细节学习这个性质,由收集有关它并且由发现新的散布结果。
简介:InJulyof1987,theSamplingSurveyofChildren’sSituationwasconductedin9provincesautonomousregionsofChina.Astratifiedtwo--stageclustersamplingplanwasdesignedforthesurvey.Thepaperpresentsthemethodsofstratification,selectingn=2PSU’s(cities/counties)withunequalprobabilitieswithoutreplacementineachstratumandselectingresidents/villagecommitteeineachsampledcity/county.Allformulaeofestimatingpopulationcharacteristics(especiallypopulationtotalsandtheratiosoftwototals),andestimatingvariancesofthoseestimatorsaregiven.Finally,weanalysetheprecisionofthesurveypreliminarilyfromtheresultofdataprocessing.
简介:Inthispaperbasicresultsforatheoryoforthogonalmatrixpolynomialswithrespecttoaconjugatebilinearmatrixmomentfunctionalareproposed.Propertiesoforthogonalmatrixpolynomialsequencesincludingathreetermmatrixrelationshiparegiven.PositivedefiniteconjugatebilinearmatrixmomentfunctionalsareintroducedandacharacterizationofpositivedefinitenessintermsofablockHaenkelmomentmatrixisestablished.Foreachpositivedefiniteconjugatebilinearmatrixmomentfunctionalanassociatedmatrixinnerproductisdefined.
简介:Considerarepeatedmeasurementpartiallylinearregressionmodelwithanunknownvectorparameterβ,anunknownfunctiong(.),andunknownheteroscedasticerrorvariances.Inordertoimprovethesemiparametricgeneralizedleastsquaresestimator(SGLSE)ofβ,weproposeaniterativeweightedsemiparametricleastsquaresestimator(IWSLSE)andshowthatitimprovesupontheSGLSEintermsofasymptoticcovariancematrix.Anadaptiveprocedureisgiventodeterminethenumberofiterations.Wealsoshowthatwhenthenumberofreplicatesislessthanorequaltotwo,theIWSLSEcannotimproveupontheSGLSE.Theseresultsaregeneralizationsofthosein[2]tothecaseofsemiparametricregressions.
简介:Inthispaper,weshowthatnewmodifieddoublecosinetrigonometricsumsintroducedin[1]areinappropriate,theclassofdoublesequencesJdintroducedthereisunusableforsuchsumsandconsequentlytheresultsobtainedinitarecompletelyincorrect.WehereintroduceappropriatemodifieddoublecosinetrigonometricsumsmakingtheclassJdusableconsideringaparticulardoublecosinetrigonometricseries.