简介：Inthispaperwegeneralizetheresultsof[1]andprovethat,foranygiven4≤k≤n,theChernclassesofhypersurfaceV_ncorrespondingtothepartitionsofkalsosatisfysomeequalities.Furthermore,weobtaintheequalitiesofChernclassesconcretelyfork=4,5,6.

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简介：Inthispaperwediscusstheproblemofapproximatingdistributionsincertaindiscretelifeclasses.LetXbearandomvariable（r.v.）takingnonnegativeintegers,EX=μ.SupposeYisageometricr.v.takingnonnegativeintegersandwiththesamemeanμ.DenoteB2=（?）,α=1-（B2）/（μ2）,Δ（X,Y）=（?）|P（X≥k）-P（Y≥k）|.Themainresultsare:1)IfX∈（D）DMRL（discretedecreasingmeanresiduallife）,thenΔ（X,Y）≤max(α,1-e-2α).2)IfX∈（D）NBUE（discretenewbetterthanuseinexpectation）thenΔ（X,Y）≤max(α,1-e-（2α）1/2.

简介：ForaholomorphicfunctionfontheunitballB~NofC~N,itisprovedthatthereducedHankeloporatorR_fonHardyspaceH~2(B~N)isofSchattenclassS_pforp≥1ifandonlyiffisinacorrespondingSobolevspace.

简介：MoreandmorelanguageteachersarefindingthattheWorldWideWebisatreasurechestofauthenticlanguagematerialsandareactivelyintegratingon-linerealdataandotherresourcesintotheirclasses.ThispapermainlyfocusesonbenefitsaswellasactivitiesofselectingandusingInternetmaterialinEnglishclasses.ItisagoodwayofmotivatingstudentstouseEnglishoutsidetheclassroomandtomakeEnglishapartoftheirdailylives.

简介：Weobtaintheoptimalorderofhigh-dimensionalintegrationcomplexityinthequantumcomputationmodelinanisotropicSobolevclassesW∞^r([0,1]^d)andHǒlderNikolskiiclassesH∞^r([0,1]^d).Itisprovedthatfortheseclassesoffunctionsthereisaspeed-upofquantumalgorithmsoverdeterministicclassicalalgorithmsduetofactorn^-1andoverrandomizedclassicalmethodsduetofactorn^-1/2.Moreover,wegiveanestimationforoptimalquerycomplexityintheclassH∞^∧(D)whosesmoothnessindexistheboundaryofsomecompletesetinZ+^d.

简介：Thispaperconsidersthefollowingquestion:GivenanAnosovendomorphismfonT~m,whetherfistopologicallyconjugatetosomehyperbolictotalendomorphism?ItiswellknownthattheanswerforAnosovdiffeomorphismsandexpandingendomorphismsisaffirmative.HweverfortheremainderAnosovendomorphisms,aquitedifferentanswerisobtainedinthispaper,i.e.,forgenericAnosovendomorphisms,theyarenottopologicallyconjugatetoanyhyperbolictoralendomorphism.

简介：InthepresentpaperweextendpreviousresultsaboutthemonotoaicityofBernstein-typeoperatorsrdtiwetoconvexfunctionsandaboutthepreservationofLipschitzclasses.

简介：TheGel'faudn-widthsofBesovclassesareconsidered.Theweakasymptoticbehaviorisestablishedforthecorrespondingquantity.

简介：Inthispaper,weconsiderthen-widthsandaveragewidthsofBesovclassesintheusualSobolevspaces.TheweakasymptoticresultsconcerningtheKolmogorovn-widths,thelinearn-widths,theGel'fandn-widths,intheSobolevspacesonT~d,andtheinfinite-dimensionalwidthsandtheaveragewidthsintheSobolevspacesonR~dareobtained,respectively.

简介：ForsomeclassesofperiodicfunctionswithboundaryconditionsthestrongasymptoticsoftheKolmogorov’s,theGelfand’s,andlinearN-widthsareobtained.

简介：LetGbeaPolyafrequencydensityandGitsperiodization.Wegettheexactvalueofupperapproxi-mationofS1（G）,whichisaconvolutionclasswithkernelG.bycardinalsplinescprrespndingtoG.SimilarresulthasbeenobtainedforperiodicconvolutionclasswithkernelGaswell.

简介：Inthispaper,wedeterminetheexactestimationofone-sidedn-widthsdn+（wqr（pr）,L1）.q=1,∝,whereWqr（Pr）isaclassofdifferentiable2π-periodicfunctions,andisdeterminedbyadifferentialopera-torPr（D）=Dσ∏j=tl（D-αj）,σ,j∈N,σ≥2,xj≠0,xj∈R.

简介：Thispaperproposesanewqueuingmodelandadaptiveschedulingschemewhichrealizesmulti-classQoSmechanismunderDiffServarchitecture.Thequeuingmodeliscomposedoftwoparalleloutputsubqueues,eachoutputsubqueueadoptsrandomdropalgorithmbysettingdifferentbufferthresholdfordifferentclasstraffic,soitcanprovidemulticlassQoS.Thenewproposedschedulingschemewhichadaptivelychangestheparameterλcanguaranteetheperformancetargetofhighclasstraffic,inthemeantime,improvetheQoSoflowclassestraffic.

简介：TheclassesofthemultivariatefunctionswithboundedmodulionRdandTdaregivenandtheiraverageσ-widthsandnon-linearn-widthsarediscussed.Theweakasymptoticbehaviorsareestablishedforthecorrespondingquantities.

简介：AbriefsurveyofformerandrecentresultsonHuber'sminimaxapproachinrobuststatisticsisgiven.TheleastinformativedistributionsminimizingFisherinformationforlocationoverseveraldistributionclasseswithupper-boundedvariancesandsubrangesarewrittendown.TheseleastinformativedistributionsarequalitativelydifferentfromclassicalHuber'ssolutionandhavethefollowingcommonstructure:(i)withrelativelysmallvariancestheyareshort-tailed,inparticularnormal；(ii)withrelativelylargevariancestheyareheavytailed,inparticulartheLaplace;(iii)theyarecompromisewithrelativelymoderatevariances.TheseresultsallowtoraisetheefficiencyofminimaxrobustproceduresretaininghighstabilityascomparedtoclassicalHuber'sprocedureforcontaminatednormalpopulations.Inapplicationtosignaldetectionproblems,theproposedminimaxdetectionrulehasprovedtoberobustandclosetoHuber'sforheavy-taileddistributionsandmoreefficientthanHuber'sforshort-tailedonesbothinasymptoticsandonfinitesamples。

简介：在这份报纸，我们在公制的Lp(R)(1p)得到平均-B宽度和Sobolev班Brp(R)的无限的维的-G宽度的准确价值并且获得准确(N)和强壮的asymptotic(>1)在公制的Lq的Sobolev牛肉熏香肠班Wrpq(R)的无限的维的-G宽度的结果在公制的Lqp(R)(1qp)的(R)和它的双盒子Wrp(R)。

简介：为二子集W和Banach空间X的V，让Kn(W，V，X)相对旁边定义的V表示W的相对Kolmogorovn宽度