简介：Anumbilicalfreeorientedhypersurfacex:M→Rnwithnon-zeroprincipalcurvaturesiscalledaLaguerreisoparametrichypersurfaceifitsLaguerreformC=iCiωi=iρ1(Ei(logρ)(rri)Ei(r))ωivanishesandLaguerreshapeoperatorS=ρ1(S1rid)hasconstanteigenvalues.Hereρ=i(rri)2,r=r1+r2+···+rn1n1isthemeancurvatureradiusandSistheshapeoperatorofx.{Ei}isalocalbasisforLaguerremetricg=ρ2IIIwithdualbasis{ωi}andIIIisthethirdfundamentalformofx.Inthispaper,weclassifyallLaguerreisoparametrichypersurfacesinRn(n>3)withtwodistinctnon-zeroprincipalcurvaturesuptoLaguerretransformations.

简介：<正>Newkindsofstronglyzero-dimensionallocalesareintroducedandcharacterized,whicharedifferentfromJohnstone’s,andalmostallthetopologicalpropertiesforstronglyzero-dimensionalspaceshavethepointlosslocalicforms.Particularly.theStone-Cechcompactificationofastronglyzero-diluensionallocaleisstonglyzero-dimensional.

简介：Foranasymmetricmatrix,thezero-nonzeropatternPofentriescanbedescribedbyadigraphΓ(P)whichhasanarcifanentryisnonzero.Theminimumrankofazero-nonzeropatternisdefinedtobethesmallestpossiblerankoverallrealmatriceshavingthegivenzero-nonzeropattern.Definitionsofvariousgraphparametersthathavebeenusedtoboundminimumrankofazerononzeropattern,includingpathcovernumberandeditdistance,andthetrianglesizetri(P).Inthispaper,byconvertingadigraphintoanundirectedbipartitegraphG(U,V),wepresentanalgorithmforconstructingasub-bipartitegraphwiththeuniquemaximumperfectmatchingM',andobtainthattri(P)=|M'|forP.

简介：LetFλ={x∈(0,1){2nx}≥1/2k,n∈z+},z++={0,1,2,3,...},k∈N;F=U∞k=1Fλbeadecimalsetin(0,1),where{2nx}isthefractionalpartofanumber2nx.Inthisnote,weprovethatdirnнF=1andН1(F)=0,wheredimнisHausdroffdimension,andН1(F)istheHausdorffmeasureofF.

简介：ＡＳＩＭＰＬＩＣＩＡＬＨＯＭＯＴＯＰＹＡＬＧＯＲＩＴＨＭＦＯＲＣＯＭＰＵＴＩＮＧＺＥＲＯＰＯＩＮＴＳＯＮＰＯＬＹＴＯＰＥＳＣＨＥＮＫＡＩＺＨＯＵ（陈开周）；ＹＡＮＧＺＡＩＦＵ（杨再福）；ＬＩＡＮＧＺＨＥＮＧＬＩ（梁正礼）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐ...

简介：Countdatawithexcesszerosareoftenencounteredinmanymedical,biomedicalandpublichealthapplications.Inthispaper,anextensionofzero-inflatedPoissonmixedregressionmodelsispresentedfordealingwithmultileveldataset,referredashierarchicalmixturezero-inflatedPoissonmixedregressionmodels.AstochasticEMalgorithmisdevelopedforobtainingtheMLestimatesofinterestedparametersandamodelcomparisonisalsoconsideredforcomparingmodelswithdifferentlatentclassesthroughBICcriterion.AnapplicationtotheanalysisofcountdatafromaShanghaiAdolescenceFitnessSurveyandasimulationstudyillustratetheusefulnessandeffectivenessofourmethodologies.

简介：

简介：为光滑的功能的一个家庭，作者显示出那，在某些通用条件下面，所有extremal(最小、最大)点是非退化的。

简介：Forfirst-orderquasilinearhyperbolicsystemswithzeroeigenvalues,theauthorestablishesthelocalexactcontrollabilityinashortertime-periodbymeansofinternalcontrolsactingonsuitabledomains.Inparticular,undercertainspecialbutreasonablehypotheses,thelocalexactcontrollabilitycanberealizedonlybyinternalcontrols,andthecontroltimecanbearbitrarilysmall.

简介：Theimportanceofthezerosofmultwariablelinearsystemsiswell-knoiunintermsofmeasureobstructionstothecontrollabilityandthe.observability.Inthispaper,arecursivedecarnposiAmojinterconnectedsystemsisoutlinedbytakingintoaccountthesequentialstructureoftheconnnections.Thepaperextendsthe,coordinate,module-theoreticstudiesfromtheelementaryalgebraicsystemstheorytoincludethecaseojsuchlinearinterconnectedsystemswhichneednottobecontrollableorobservable.Also,thepropertiesofcontrollabilityandobservability,thedecouplingzerosandthesignalMakingissuesarecharacterized.

简介：它被Bouchet推测承认的每张bidirected图一没什么地方--零k流动将承认一没什么地方--零6流动。当6被216代替时，他证明conjecture是真的。Zyka与6改进了结果在30代替了。徐和张证明conjecture为6-edge-connected图是真的。并且为证明的4-edge-connected图，Raspaud和朱，它与6是真的在4代替了。在这份报纸，我们证明Bouchets推测与6是真的为3-edge-connected图在15代替了。

简介：在这篇文章，作者们与在正确一半飞机会聚的零目学习Laplace-Stieltjes变换的生长，定义指数的目和指数的低目，并且发现在他们之间的关系。类似于Dirichlet系列的一些结果被获得。

简介：作者为可能非加倍，但是满足某些生长条件的氡措施给Morrey空格的一个自然定义，并且在泛音分析和他们的珍视向量的扩展在一些古典操作符的这些空格调查围住的海角。

简介：In[1],Dingetal.studiedthenonhomogeneousBurgersequationThispaperwillprovethatwhenμ→0thesolutionof(1.1)willapproachthegeneralizedsolutionofTheauthorsnoticethattheequation(1.2)isbeyondthescopeofinvestigationsbyOleinikO.in[2].Thesolutionshereareunboundedingeneral.Thepaperalsostudiestheδ-wavephenomenonwhen(1.2)isjointedwithsomeotherequation.

简介：ThispaperpresentssomeresultsaboutboundsforcoincidenceindicesofNielsencoincidenceclassesformapsbetweennonorientablesurfaces.DenotingbyKnthenonorientablesurfaceconstructedbyaconnectedsumofntoruswithaKleinbottle,theauthorproves:(i)forpairsofmapsbetweentwoKleinbottlesorforpairsofmapsfromaKleinbottletoasurfaceKnthecoincidenceclassindexisbounded.(ii)forpairsofmapsfromKntotheKleinbottlethecoincidenceclassindexisunbounded.Otherboundednessresultsaregivenformoretechnicalconditions,includingoneforselfmaps.

简介：Inthispaper,thetotallynon-positivematrixisintroduced.Thetotallynon-positivecompletionaskswhichpartialtotallynon-positivematriceshaveacompletiontoatotallynon-positivematrix.Thisproblemhas.ingeneral,anegativeanswer.Therefore,ourquestionisforwhatkindoflabeledgraphsGeachpartialtotallynon-positivematrixwhoseassociatedgraphisGhasatotallynon-positivecompletion?IfGisnotamonotonicallylabeledgraphormonotonicallylabeledcycle,wegivenecessaryandsufficientconditionsthatguaranteetheexistenceofthedesiredcompletion.

简介：Leta,b,cberelativelyprimepositiveintegerssuchthata2+b2=c2.Je′smanowicz’conjectureonPythagoreannumbersstatesthatforanypositiveintegerN,theDiophantineequation(aN)x+(bN)y=(cN)zhasnopositivesolution(x,y,z)otherthanx=y=z=2.Inthispaper,weprovethisconjectureforthecasethataorbisapowerof2.

简介：InthispaperweconsidertheeigenvalueproblemofsemilinearellipticequationinR~n(n≥~3)-△u+α(x)u=λf(x,u),u∈H~1(R~n).

简介：在非通用的条件下面发生在平面快慢的系统的虚报现象被调查。什么时候批评歧管让非通用的褶层指由使用分析与最近发达的发作技术相结合的asymptotic的方法，一张虚报的存在被建立，一张虚报为存在的参数的asymptotic扩大被获得。

简介：ThepaperistogeneralizetherigiditytheoremthatthespecialWeingartensurfaceisthespheretothecaseofsubmanifolds.Itisprovedthatanon-negativelyimmersedcompactsubmaifnoldinspaceformofconstantcurvatureisaRiemannianproductofseveraltotallyumbilicalsubmanifoldsifthemeancurvatureandthescalarcurvatureofthesubmanifoldsatisfyacertainfunctionrelation.