简介：ThispapeerstudiestheknowndensitytheoremofArrow-Barankin-Blackwell.Thefollowingmainresultisobtained:IfXisaHausdorfflocallyconvexTopologicalspaceandCbelongtoXisaclosedconvexconewithboundedbase,thenforeverynonemptyweaklycompactconvexsubsetA,thesetofpositiveproperefficientpointsofAisdenseinthesetofefficientpointsofA.

简介：Intheintroductionapreliminaryconsiderationofthesenseofconcepts“set”,“structure”,“system”,and“model”,aswellasoftheconnectionbetweenthemisproposedandonthebasisofitsresultsthetaskofinvestigationofabstractbasesofsystem(inparticularreconsiderationofconcept“abstractset”),ofabstractstructure,abstractsystemandofS-Modelisformulated.Thefirstsectionisdevotedtoformulationofanapproachtoconstructionofaggregatetheoryregardedasananalogofmoderateconstructivesettheory:therelations“inclusion”and“equivalence”betweenaggregatesandtheoperationsonaggregates“union”,“intersection,“difference”and“compliment”areintroduced.Definitionoftheconcept“a-system”aswellasofitsa-structureonthespaceofaggregatesisdefined.AspecialattentionisshowntosimilarityandessentialdifferencebetweenaggregatetheoryandsettheoryaswellastothefactthatthefamousparadoxesofCantorandRussellintheCantor’ssettheorytakenoplaceintheaggregatetheory.FurtheravariantofCantor’ssettheorycalledrestricteddiscretesettheoryisconsidered.Thesecondsectionisdevotedtoformulationofanapproachtoconstructionofalgebraofa-systems.Attheendtheconceptofsystemofsuccessivesystems(SSS),isintroduced.

简介：Segmentingacomplex3Dsurfacemodelintosomevisuallymeaningfulsub-partsisoneofthefundamentalproblemsindigitalgeometryprocessing.Inthispaper,anovelsegmentationapproachofpoint-sampledsurfacesisproposed,whichisbasedonthelevelsetevolutionscheme.Tosegmentthemodelsoastoalignthepatchboundarieswithhighcurvaturezones,thedrivenspeedfunctionforthezerolevelsetinsidenarrowbandisdefinedbytheextendedcurvaturefield,whichapproacheszerospeedasthepropagatingfrontapproacheshighcurvaturezone.Theeffectivenessoftheproposedapproachisdemonstratedbyourex-perimentalresults.Furthermore,twoapplicationsofmodelsegmentationareillustrated,suchaspiecewiseparameterizationandlocaleditingforpoint-sampledgeometry.

简介：

简介：在这份报纸，我们将第一说明我们为什么应该介绍一它吗？打珍视集合的随机的微分方程并且我们为什么应该注意几乎到处问题。第二，我们将给不可分的Aumann类型Lebesgue的一个清楚的定义并且关于时间t珍视集合的随机的过程证明Lebesgue的measurability不可分。然后，我们将介绍一些新性质，特别证明珍视集合的Lebesgue积分的重要不平等。最后，我们将证明存在和的一个强壮的答案的唯一它吗？打珍视集合的随机的微分方程。关键词珍视集合的随机的过程-珍视集合的Lebesgue积分-珍视集合的随机的微分方程-强壮的解决方案先生(2000)题目分类60D05-60H10由中国(资助号码10771010)的国家自然科学基础支持了，PHR(IHLB)，北京教育委员会，的研究资金中国；并且为科学研究19540140的Grant-in-Aid，日本

简介：采样的观察经常易于舍入，但是被建模好像他们是unrounded。这份报纸检验与多层的评价集合采样在参数评价上绕行错误的影响。它证明舍入的错误严重弄歪协变性矩阵的行为估计，并且导致不一致的评价。考虑这，我们在场为这个模型实现评价，并且进一步建立建议评估者的强壮的一致性和asymptotic规度的一条新途径。模拟实验证明我们的估计基于圆简单随机的采样总是基于圆多层的评价集合采样是比那些更有效的。

简介：LetGbeanonabelianfinitegroup.ThenIrr(G/G′)isanabeliangroupunderthemultiplicationofcharactersandactsonthesetofnon-linearirreduciblecharactersofGviathemultiplicationofcharacters.Thepurposeofthispaperistoestablishsomefactsabouttheactionoflinearcharactergrouponnon-linearirreduciblecharactersanddeterminethestructuresofgroupsGforwhicheitheralltheorbitkernelsaretrivialorthenumberoforbitsisatmosttwo.Usingtheestablishedresultsonthisaction,itisveryeasytoclassifygroupsGhavingatmostthreenomlinearirreduciblecharacters.

简介：周和冯摆姿势一在2004的自我类似的集合上的conjecture。在这篇论文，一个自我类似的集合被构造它有最好盖住但是它的自然盖住不是最好的。因此，我们确实把一个否定答案给conjecture。

简介：Anintegralanalyticprocessfromquantificationtopropagationbasedonlimiteduncertainparametersisinvestigatedtodealwithpracticalengineeringproblems.Anewmethodbyuseofthesmallestinterval-set/hyper-rectanglecontainingallexperimentaldataisproposedtoquantifytheparameteruncertainties.Withthesmallestparameterinterval-set,theuncertaintypropagationevaluationofthemostfavorableresponseandtheleastfavorableresponseofthestructuresisstudiedbasedontheintervalanalysis.Therelationshipbetweentheproposedintervalanalysismethod(IAM)andtheclassicalIAMisdiscussed.Twonumericalexamplesarepresentedtodemonstratethefeasibilityandvalidityoftheproposedmethod.

简介：ThepaperisacontributiontotheproblemofapproximatingrandomsetwithvaluesinaseparableBanachspace.Thisclassofset-valuedfunctioniswidelyusedinmanyareas.Weinvestigatethepropertiesofp-boundedintegrablerandomset.Basedonthisweendowitwith△pmetricwhichcanbeviewedasaintegraltypehausdorffmetricandpresentsomeapproximationtheoremofaclassofconvolutionoperatorswithrespectto△pmetric.Moreoverwealsocanestablishanalogoustheoremforotherintegraltypeoperatorin△pspace.

简介：Somepropertiesofconvexconesareobtainedandareusedtoderiveseveralequivalentconditionsaswellasanotherimportantpropertyfornearlycone-subconvexlikeset-valuedfunctions.Undertheassumptionsofnearlycone-subconvexlikeness,aLagrangianmultipliertheoremonBensonproperefficiencyispresented.Relatedresultsaregeneralized.

简介：Anewbilevelgeneralizedmixedequilibriumproblem(BGMEP)isintroducedandstudiedintopologicalvectorspaces.Byusingaminimaxinequality,theexistenceofsolutionsandthebehaviorofsolutionsetfortheBGMEParestudiedunderquitemildconditions.Theseresultsarenewandgeneralizesomerecentresultsinthisfield.

简介：InthispaperweconsidertheapproximationforfunctionsinsomesubspacesofL~2bysphericalmeansoftheirFourierintegralsandFourierseriesonsetoffullmeasure.Twomaintheoremsareobtained.

简介：为自我类似的集合的Hausdorff措施的计算的一个理论框架令人满意的振荡被建立了。

简介：Inthispaper,westudyHenigefficiencyinvectoroptimizationwithnearlycone-subconvexlikeset-valuedfunction.TheexistenceofHenigefficientpointisprovedandcharacterizationofHenigefficiencyisestablishedusingthemethodofLagrangianmultiplier.Asaninterestingapplicationoftheresultsinthispaper,weestablishaLagrangemultipliertheoremforsuperefficiencyinvectoroptimizationwithnearlycone-subconvexlikeset-valuedfunction.

简介：Aprojectedsubgradientmethodforsolvingaclassofset-valuedmixedvariationalinequalities(SMVIs)isproposedwhenthemappingisnotnecessarilyLipschitz.Undersomesuitableconditions,itcanbeproventhatthesequencegeneratedbythemethodcanstronglyconvergetotheuniquesolutiontotheproblemintheHilbertspaces.

简介：Thesolvabilityofaclassofforward-backwardstochasticdifferentialequations(SDEsforshort)overanarbitrarilyprescribedtimedurationisstudied.Theauthorsdesignastochasticrelaxedcontrolproblem,withbothdriftanddifftusionallbeingcontrolled,sothatthesolvabilityproblemisconvertedtoaproblemoffindingthenodalsetoftheviscositysolutiontoacertainHamilton-Jacobi-Bellmanequation.ThismethodovercomesthefataldifficultyencounteredinthetraditionalcontractionmappingapproachtotheexistencetheoremofsuchSDEs.

简介：Avague-set-basedfuzzymulti-objectivedecisionmakingmodelisdevelopedforevaluatingbiddingplansinabid-dingpurchaseprocess.Agroupofdecision-makers(DMs)firstindependentlyassessbiddingplansaccordingtotheirexperienceandpreferences,andtheseassessmentsmaybeexpressedaslinguisticterms,whicharethenconvertedtofuzzynumbers.Theresultingdecisionmatricesarethentransformedtoobjectivemembershipgradematrices.Thelowerboundofsatisfactionandupperboundofdissatisfactionareusedtodetermineeachbiddingplan’ssupporting,opposing,andneutralobjectivesets,whichtogetherdeterminethevaguevalueofabiddingplan.Finally,ascorefunctionisemployedtorankallbiddingplans.Anewscorefunctionbasedonvaguesetsisintroducedinthemodelandanovelmethodispresentedforcalculatingthelowerboundofsat-isfactionandupperboundofdissatisfaction.Inavague-set-basedfuzzymulti-objectivedecisionmakingmodel,differentvalua-tionsforupperandlowerboundsofsatisfactionusuallyleadtodistinctrankingresults.Therefore,itiscrucialtoeffectivelycontainDMs’arbitrarinessandsubjectivitywhenthesevaluesaredetermined.

简介：Segmentationofthree-dimensional(3D)complicatedstructuresisofgreatimportanceformanyrealapplications.Inthisworkwecombinegraphcutminimizationmethodwithavariantofthelevelsetideafor3DsegmentationbasedontheMumford-Shahmodel.ComparedwiththetraditionalapproachforsolvingtheEuler-Lagrangeequationwedonotneedtosolveanypartialdifferentialequations.Instead,theminimumcutonaspecialdesignedgraphneedtobecomputed.Themethodistestedondatawithcomplicatedstructures.Itisratherstablewithrespecttoinitialvalueandthealgorithmisnearlyparameterfree.Experimentsshowthatitcansolvelargeproblemsmuchfasterthantraditionalapproaches.

简介：Inthispaper,wepresentamoresimpleandmuchshorterproofforthemainresultinthepaper'Annegativeanswertoaconjectureontheself-similarsetssatisfyingtheopensetcondition',whichwaspublishedinthejournalAnalysisinTheoryandApplicationsin2009.