简介：我们分类稳定的homotopy类型(n1)有2的维的polyhedra和3扭转释放的-connected,(n+k)为k的相同6。使用的技术是被Drozd给的矩阵问题(bimodule范畴)。

简介：ThispapergivestheintrinsiccharacteroftheclassificationforAF-algebrasdefinedbyJ,CuntzandG.K.Pedersenintermsoftheirdimensiongroups.

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简介：在现在的纸，有直径二一reclassified的常规平面图。

简介：Thepurposeofthepresentpaperistocallforattentiontothefollowingquestion:Whichoftheinitialdata(nonsmall)admitglobalsmoothsolutionstotheCauchyproblemfornonlinearwaveequations.Afewcasesandexamplesaresketched,showingthatthegeneralanswerofthisquestionmaybequitecomplicated.

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简介：这篇论文的目的是提供错误分析为多范畴支持向量机器(MSVM)classificaton问题。我们为MSVM建立一致集聚途径并且估计错误分类错误。我们这里克服的主要困难是围住偏移量向量。作为结果，当核多项式的度足够大时，我们证实有多项式核的MSVM分类算法总是是有效的。最后，集中和例子的率被给表明主要结果。

简介：我们为下列不可分的系统分类所有积极答案：

简介：TheauthorsdeterminetheinvariantsoftheirrationalrotationC*-algebrasovertheLshapeddomaininC^2bythemaximalradicalseries.

简介：LetMbeapositivequaternionicKhlermanifoldofdimension4m.Wealreadyshowedthatifthesymmetryrankisgreaterthanorequalto[m/2]+2andthefourthBettinumberb_4isequaltoone,thenMisisometrictoHP~(m).Thegoalofthispaperistoreportthatwecanimprovethelowerboundofthesymmetryrankbyoneforhighereven-dimensionalpositivequaternionicKahlermanifolds.Namely,itisshowninthispaperthatifthesymmetryrankofMwithb_4(M)=1isgreaterthanorequaltom/2+1form≥10,thenMisisometrictoHP~m.OneofthemainstrategiesofthispaperistoapplyamoredelicateargumentofFrankeltypetopositivequaternionicKhlermanifoldswithcertainsymmetryrank.

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简介：ForagraphG,P(G,λ)denotesthechromaticpolynomialofG.TwographsGandHaresaidtobechromaticallyequivalent,denotedbyG-H,ifP(G,λ)=p(H,λ).Let[G]={H|H-G}.If[G]={G},thenGissaidtobechromaticallyunique.Foracomplete5-partitegraphGwith5nvertices,defineθ(G)=(a(G,6)-2^n+1-2^n-1+5)/2n-2,wherea(G,6)denotesthenumberof6-independentpartitionsofG.Inthispaper,theauthorsshowthatθ(G)≥0anddetermineallgraphswithθ(G)=0,1,2,5/2,7/2,4,17/4.Byusingtheseresultsthechromaticityof5-partitegraphsoftheformG-Swithθ(G)=0,1,2,5/2,7/2,4,17/4isinvestigated,whereSisasetofedgesofG.Manynewchromaticallyunique5-partitegraphsareobtained.