简介：定义了向量筐函数的C-Stieltjes近似可表示算子，并研究了它的性质。另外，我们定义了向量值函数的近似C-Stieltjes积分，并证明了它的收敛定理。

简介：对维林金系统{ψ,n≥1}和0＜α＜1定义极大算子σ^α＊f：=sup│σ^αnf│，其中σ^αnf是函数f的（C，α）平均值．证明了算子σ^α＊是（p，p）型（1〈P〈∞）和弱（1，1）型．另外‖σ^α＊f‖1≤C‖f‖H1,，其中H1是Hardy空间．利用上述结果，证明了对任一可积函数f，σ^αnf几乎处处收敛于f．

简介：ThispapercharacterizestheirrationalrotaionC^*-algebraassociatedwiththeToeplitxC^*-algebraovertheZ-shapeddomaininC^2inthesenseofthemaximalradicalseries,whichisanisomorphisminvariant.

简介：本文首先介绍了粒子群算法（PSO）的基本模型及其运行机制；然后，通过粒子迭代位移、轨迹分析和函数上的参数试验，研究了c1，c2参数对粒子行为和算法进化性能的影响，以及对粒子目标识别和方向感的影响；接着，又探讨了PSO中的解的更新空间不断塌缩、粒子的“游荡”与“振荡”、粒子进化与多样性损失等几个确定性现象和随机性搜寻的必要条件；最后，分析了早熟收敛和局部收敛的原因。通过研究，加深了对粒子群算法（PSO）基本模型运行机制的认识和对C1，c2参数特性的了解。

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简介：证明了(C-K)性质,(S-K)性质,L-KR空间,L-KS空间和CL-KR空间和CL-KS空间的一些充要条件.这些条件表明了(C-K)与(S-K)性质,L-KR与L-KS空间及CL-KR空间与CL-KS空间之间的对偶性质.

简介：LetT=(T(t))t≥0beaboundedC-regularizedsemigroupgeneratedbyAonaBanachspaceXandR(C)bedenseinX.WeshowthatifthereisadensesubspaceYofXsuchthatforeveryx∈Y,σu(A,Cx),thesetofallpointsλ∈iRtowhich(λ-A)^-1Cxcannotbeextendedholomorphically,isatmostcountableandσr(A)NiR=Ф,thenTisstable.AstabilityresultforthecaseofR(C)beingnon-denseisalsogiven.Ourresultsgeneralizetheworkonthestabilityofstronglycontinuoussenfigroups.

简介：TwospectralsequencesaredronedrespectivelyforcohomologiesH^P(Ωf1k-,0)andH^P(Af,k-,0)ofsingularitiesofC^∞mappings.Theyarefinitelydimensiionalnewinvarancesunderrightequivalencesandcontacttransformationsrespectively.FormuLaetobecomputedbylinearalgebrsareproved.

简介：Inthispaper,weintroduceaconditionweakerthantheLpdifferentiability,whichwecallCpcondition.Weprovethatifafunctionsatisfiesthisconditionatapoint,thenthereexiststhebestlocalapproximationatthatpoint.WealsogiveanecessaryandsufficientconditionforthatafunctionbeLpdifferentiable.Inaddition,westudytheconvexityofthesetofclusterpointsofthenetofbestappoximationsoff,{Pe(f)}ase→0.

简介：Inthispaper,weapplythecontractionmappingtheoremtoestablishsomeboundedandunboundedadditiveperturbationtheoremsconcerninglocalC-semigroups.SomegrowthconditionsofperturbationsoflocalC-semigroupsarealsoestablished.

简介：LetGbeasecondcountablelocallycompactgroupoidwithHaarsystem{λuH},HbeaclosedsubgroupoidcontainingG^0withHaarsystem{λuH}.T.MasudaintroducedtheC^*-Groupoiddynamicsystem(G,A,α)anditsreducedcrossedproductCrea(G,A)in[2]：whereAisC^*-algebraαisthekomomorphismG→Aut(A).InthispapertheauthorintroducestheC^*-groupoiddynamicsystems(H,A,α/H)and(H\G2,A,^-α)inducedby(G,A,α)andprovesthatC*red(H,A)andC^*red(H\G^2,A)arestronglyMoritaequivalentMoreovertheinducedrepresentationfromC^*red(H,A)toC^*red(G,A)isgot.

简介：Risler&Trotmanin1997provedthatthemultiplicityofananalyticfunctiongermisleft-rightlipschitzinvariant,whichprovidedapartialanswertoZariskiconjecture.Inthisnote,basedontherecentworkofComte,Milman&Trotman,wegeneralizetheworkofthemtoprovethatthemultiplicityofaC~∞-differentiablefunctiongermisalsoleft-rightlipschitzinvariant.

简介：引入乘对角类di-准正交阵和乘对角类c-准正交变换的概念，并研究了它们的一些性质．

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简介：ThispapershowsthattheC1-curvedfiniteelementdevelopedbyBernadoningeneralcannotsatisfytheessentialboundaryconditionsonapproximateboundary.Furthermore,amodifiedC1-curvedfiniteelementisgiven,whichiscompatiblewiththeelementofArgyristriangleandcansatisfythehomogeneousDirichletboundaryconditionsonapproximateboundary.

简介：ThispaperintroducestheconceptoflocalC-cosins-familyandinverstigateitsbasicproperties,Inparticular,acharacterizationofthecompleteinfinitesimalgeneratorofalocalC-cosinefamilyisobtained,AsanapplieationofthistheorytothesecondordersbstractCauchyproblems,acharacterizationofthelocalC-well-posednessoftheseproblemsisgivenintermsofthelocalC-cosinefamilytheory.

简介：LetιbeatriangulationofapolygonaldomainDR2withverticesV={v1:1≤i≤N,}andRSk（D,τ）={u∈Ck（D）:(T∈τ,u|τisarationalfunction}.Thepurposeofthispaperistostudytheexist-enceandconstructionofC^{μ-rationalsplinefunctionsonanytriangulationτforCAGD.TheHermiteprob-lemHμ（V,U）={findu∈}

简介：Thispaperderivesfirstordernecessaryandsufficientconditionsforunconstrainedconed.c.Programmingproblemswheretheunderlinedspaceispartiallyorderedwithrespecttoacone.Theseconditionsaregivenintermsofdirectionalderivativesandsubdifferentialsofthecomponentfunctions.Moreover,conjugatedualityforconed.c.Optimizationisdiscussedandweakdualitytheoremisprovedinamoregeneralpartiallyorderedlineartopologicalvectorspace(generalizingtheresultsin[11]).

简介：Weintroducethenotionofproperty（RD）foralocallycompact,Hausdorffandr-discretegroupoidG,andshowthatthesetS2^l（G）ofrapidlydecreasingfunctionsonGwithrespecttoacontinuouslengthfunctionIisadensespectralinvariantandFreehet＊-subalgebraofthereducedgroupoidC^＊-algebraCr^＊.（G）ofGwhenGhasproperty（RD）withrespecttol,sotheK-theoriesofbothalgebrasareisomorphicunderinclusion.EachnormalizedcoeycleconG,togetherwithaninvariantprobabilitymeasureontheunitspaceGoofG,givesrisetoacanonicalmapTconthealgebraCo（G）ofcomplexcontinuousfunctionswithcompactsupportonG.WeshowthatthemapTccanbeextendedcontinuouslytoS2^l（G）andplaysthesameroleasann-traceonCr^＊（G）whenGhasproperty（RD）andcisofpolynomialgrowthwithrespecttol,sotheConnes＇fundamentparingbetweentheK-theoryandthecycliccohomologygivesustheK-theoryinvariantsonCr^＊（G）.

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