ON THE STRUCTURE OF THEATTRACTORS OF HYPERBOLICITERATED FUNCTION SYSTEM

1.IntroductionThefractalsgeneratedbytheattractorsofiteratedfunctionsystems(i.f.s.)havebeenresearchedbymanyauthorsfl--3'6'7'9].ByaniteratedfunctionsystemwemeanacompactmetricspaceXtogetherwithacollectionofcontinuousmapsTI,T2,'tTNonit,denotedby(X,TI,',TN).IfalltheTi'sarecontractionswecall(X;TI,',TN)ahyperboliciteratedfunctionsystem(h.i.f.s.).NForanh.i.f.s.thereexistsacompactsubsetAofX,suchthatA=.UTi(A).Aiscalledtheattractoroftheh.i.f.s.DenoteZ=(1,2,',N)N,anddefineametricdonZby…     

Approximation to the expectation of a function of order statistics and its applications

ThisprojectissupportedbytheNationalNaturalScienceFoundationofChinaandDoctoralProgramFoundationofHigherEducation.1.IntroductionLetUI,U2,'bei.i.d.randomvariableswithuniformd.f.ontheinterval(0,l),andforeveryn31,writeUt,,15'5Un,.fortheorderstatisticsofUI,'tUn.SupposethatXI1X2,'arei.i.d.observationsfromanondegenerated.f.F,anddenotebyX.,l5'5X.,.theorderstatisticsofXI,'IX,,'Withoutlossofgenerality,wewillassume0相似文献   

1982年以来国内出版的数学建模教材、译著及竞赛辅导材料

<正> 1.E. A. Bender,数学模型引论,朱尧辰、徐伟宣译,科学普及出版社,1982.2.近藤次郎,数学模型,宫荣章等译,机械工业出版社,1985.3.姜启源,数学模型,高等教育出版社,1987.4.任善强,数学模型,重庆大学出版社,1987.5.M. Braun, C. S. Coleman, D. A. Drew,微分方程模型,朱煜民、周宇虹译,国防科技大学出版社,(本书为W. P. Lucas主编的Modules in Applied Mathematics一书的第一卷),1988.     

RESIDUALS DENSITY ESTIMATION IN CENSORED LINEAR REGRESSION MODEL

1.IntroductionSupposethatinthelinearregressionmodelK=XIP ei.KarenotcompletelyobserVableandtheObserVationsare(X',Zi,6i),i=l,'',n,wherePandXiarepx1vectors,Zi=adn(K,Wi),6i=I(K5Wi),theresidualei'sarei.i.d.r.v.'swithunknowncommondensityfullctionj(distributionfunctionF)andthe(Wi,Xi)'sarei.i.d.randomvectorsthatareindependentofei's.Fittingthemodelwithcensoreddatahasreceivedconsiderableattentioninthestatistical.literature.TherearetWOmaintrendsinthisbodyofliterature.OnetrendistoeXtendthecompl…     

数学史诗——为2002年国际数学家大会在北京召开而作

话说数学 ,古今中外 ,名家荟萃 ,光彩夺目 .古代数学 ,先述中国 .结绳记事 ,燧石取火 .筹算珠算 ,十进制数 .度量衡“始” ,廿四节气 .九章算术 ,周髀算经 ,商高定理 ,杨辉三角 .徽率祖率 ,割圆缀术 .田忌赛马 ,运筹帷幄 .有限无限 ,“一尺之棰 ,日取其半 ,万世不竭 .”剩余定理 ,“物不知数” .算经十书 ,均为必读 .言罢中国 ,再述西域 .埃及草纸 ,希腊鼻祖 .罗马符号 ,阿拉伯数 .毕氏定理 ,黄金分割 .芝诺诡辩 ,无理假设 .圆锥曲线 ,阿基米德 .几何原本 ,欧几里得 ,“学无王道” ,“平行公设” .直尺圆规 ,立方倍积 ,化圆为方 ,三等分角 .…     

A Simple Finite Element Method for the Reissner-Mindlin Plate

1.IntroductionTheReissner-MindlinmodeldescribesthedefOrmationofaplatesubjecttoatrans-verseload.Thismodel,aswellasitsgeneralizationtoshells,isfrequentlyusedforp1atesandshellsofsmalltomoderatethickness.Itiswellknownthatmanynumeri-calschemesforthismodelaresatisfactoryonlywhenthethicknessparametertisnottoosmal1.Foraverysmallt,somebadbehaviors(suchaJsthelockingphenomenon)mightoccur.Inl986,F.BrezziandM.Fo.ti.l2]derivedanequivalentformulationoftheReissner-MindlinplateequationsbyusingtheHelmholtz…     

POLES OF ZETA FUNCTIONS OF COMPLETE INTERSECTIONS

51.IntroductionLetF.beafinitefieldofqele~swithcharederisticp.LetXbeanThdilnensionalalgebraicsetdeadedoverF..ThezetafunctionofX/F.isdennedbywhereXOdenotesthesetofclosedpointsOfX/F.and#X(F.d)denotesthenUInberof.F.d-rationalpointsonX.ItiseasytoseethatZ(X,T)isapowerserieswithintegercoefficients.Dwork'srationalltytheoremIg]showsthatthezetafunctionZ(X,T)isrationalinT.ThuS,therearealgebraicintegerspll'.3Pr,pl,'3basuchthatThereisagoodreasonthatwemoantheabovezetafunctionbythepower(--1)"-…     

RQI DYNAMICS FOR NON-NORMAL MATRICES WITHREAL EIGENVALUES

1.IntroductionAswellknown,RQI(RayleighQuotientiteration)isapracticalalgorithmforeigen-valueproblemsofsymmetricmatrices.In1974,B.N.ParlettprovedthatthesequencegeneratedbyRQIalwaysconvergestoaneigenvectorforalmostallofinitialvectorsifthematrixinquestionisanormalone.NamelythesetofvectorsinR",forwhichRQIdiverges,hajszeromeasure.Nevertheless,healsopointedouttheconvergelitspeedbeingcubicone[1].In1989,S.BarttsonandJ.SmillieconsideredRQIforsymmetricmatrixagain.Theydiscoveredthatthedynamicsof…     

THE OVERLAPPING DOMAIN DECOMPOSITION METHODFOR HARMONIC EQUATION OVER EXTERIOR THREE-DIMENSIONAL DOMAIN

1.IntroductionManyscientificandengineeringproblemscallbereducedtoexteriorboundaryvalueproblemsofpartialdifferentialequations.Althoughthenumericalmethodstosolveboundaryvalueproblems,suchasthefiniteelementmethodandthefinitedifferencemethod,areveryeffectiveonboundeddomains,yetweoftenfinditdifficulttousethemtodealwithunboundedproblems.Theboundaryreductionisaforcefulmeanstosolvesomeproblemsoverunboundeddomains.Amongmanyboundaryreductions,thenaturalboundaryreductionfoundedbyK.FengandD.H.Yuhassomed…     

A Fixed Point Theorem for Multi-valued Composite Increasing Operators in Partially Ordered Spaces

DefinitionlLl]I,etXbeaHausdorffTopologicalspacewhichhaspartiallyorderedstructure.WesayXisasemiorderedTopologicalSpace,ifforanytwonets{x.Ir6T}and{YrlrET}inX,x,相似文献   

Author index — volume 6 (2001)

AN Yiran, See ZHANG Lizhu, AN Yiran, LI Zhi, CHEN G. Q. and LEE Joseph H. W. BIAN Gen, See WU Fengmin, ZHANG Jiefang, BIAN Gen and WU ZiqinCHEN B., XIA L. Z., YANG Z. F. and C.HEN C. Q.. Retrospect and prospect of watershed hydrological model . 3 172CHEN G. Q., See CHEN B., XL4 L. Z.. YANG Z. F and CHEN C. QCHEN G. Q., See TAO L., RAJAGOPAL K. R. and CHEN C. Q.CHEN C. Q., See ZHANG Lizhu, AN Yiran, LI Zhi, CHEN G. Q. and LEE Joseph …     

Splitting a Concave Domain to Convex Subdomains

1.IntroductionTurninglargescaleproblemtosmallscalesubproblemsandregularizingirregularproblemaretwomainsubjectsofdomaindecomposition.Inregularization,regularizingirregularregionisoffirstimportance.Irregularityoftenmeansconcavity,forexample,L-shaped,T--shapedandC-shapeddomainsareirregulardomains.Inthispaperswewillstudydomaindecompositionmethodforellipticproblemsdefinedonirregularregion.SchwarzalternatingInethodisthebasisofalmostalldomaindecompositionmethoddeveloped.Othermethodsarevariationsof…     

(伪)单调集值映射拟均衡问题

主要讨论G-凸上的广义向量拟均衡问题,推广W.O ettli,D.Sch l ger,Q.H.A nsari,I.V.K onnov,和J.C.Y ao的一些主要结果.     

THE SCHWARZ CHAOTIC RELAXATION METHOD WITH INEXACT SOLVERS ON THE SUBDOMAINS

1.IntroductionEarlyin1869,A.H.Schwarzintroducedthetechniqueofdomaindecompositionandalternativeiterationtoprovetheexistenceofthesolutionforsomeellipticproblemin.non-regulardomain.Inrecentyears,withthearrivalandtremendousdevelopmentofsupercomputerandmultiprocessorsystem,thisancientandprofoundideabringsaboutfreshvitality,becomesanimportantsourcetotheresearchoflarge--scalescientificcomputation.Besidestheeaseofparallelization,Schwarzalternatingalgorithmandmanyotherdomaindecompositionmethodsallowo…     

Subconvergence of Finite Elements and a Self-Adaptive Algorithm

1.IntroductionSofar,therehavebeenmanypapersconcerningwiththesuperconvergenceoffi-niteelements.Undersomecondition8,ahigherconvergenceaccuracyisobtainedatsomespecificpoints.Thisphenomenoniscalledsuperconvergence.Thetheoryofsupercovergence[1]tellsusthat,inordertogainsuperconvergence,twoconditionsmustbesatisfied.Oneisthegoodsubdivisionandthesecondistheexistenceoflocallysufficientsmooth8olution.Iftheseconditionsarenotsatisfied,e.g-,lowsmoothnessofthesolution,occursacontraryphenomenonthatsomelocale…     

On the Crossing Number of Circular Graphs

1.IntroductionInVLSIchipdesign,thetwo-layerroutingofgraphGplayanimportantrole.Thatis,theupperlayercanonlybeusedforverticalwiringandthesecondlaer,theloweroneonlyforhorizontalwiring.Soweconsidertheplanarprojectionofth.etwolayers,i.e.,consideratwodimensionalgridasapropergraphmodel.ThenoneobviousconditiontoberequiredisthateveryvertexofGhasitsdegreeatmost4.Withoutlossofgeneralitylweonlyconsider4regUlargraphs.IfGisaplanargraphwitha(G)S4,alinearalgorithmhadbeenprovidedforfindingarectilineajrrout…     

CONVERGENCE RATE OFDISTRIBUTIONS OF TRIMMED SUMS

1.IntroductionLet{Xn,n2l}beasequenceofi.i.d.randomvariableswithnondegeneratedistributionF.Fornonnegativeintegersk.andrn,k. rn相似文献   

EXTREME POINTS AND SUPPORT POINTS OF A CLASS OF ANALYTIC FUNCTIONS

1IntroductionByAwedenotethespaceoffunctionsanalyticintheunitdisk.ThetopologyofAisdefinedtobethetoPologyofuniformconvergenceoncompartsubsetsoftheunitdisk.SupposethatFisacomPactsubsetofA,feF.IfthereexistsacontinuouslinearfunctionalJonA,satisfyingthatffeJisnon-constantonF,suchthatthenjiscalledasupportpointofr.ThesetofallsupportpointsofFisdenotedbysUppF.SupposethatUisasubsetofA'fEUiscalledanextremepointofUiffcannotbeexpressedasaproperconvexcombinationoftwodistinctelementsofU.Thesetbfalle…     

CONTINUOUS L-DOMAINS

61.IntroductionConiinuousDCPOisoneofthemostimportantstructuresin-domaintheory.Unfor-tunatelythecategoryofcolltinuousDCPOandtheScottcontinuousfunctionsfailstobeCartesianclosed,soitisaverysignificantproblemtofinditsmakimalCartesianclosedfullsubcategories.ThecategoryofL-domain'swasdiscoveredbyA.JungwhilesolvingtheproblemoffindingmtalmalCartesianclosedcategoriesofalgebraicDCPO's[1l,andrecentworksbyA.JungandG.Gund.r[2]showsthatthecategoryofL-domain'sisaninterestingcategoryOntheotherhand,i…     

Local Artificial Boundary Conditions for the Incompressible Viscous Flow in a Slip Channel

1.IntroductionManyboundaxyvaJueproblemsofpartialdiffereotialequationsinvo1vingunboundeddomainoccurinmanyareasofapplications,e-g.lfluidflowaroundobstacles,couplingofstructureswithfoundationandsoon.Forgettingthenumericalsolutionsoftheproblemsonunboundeddomian,anaturalapproachistocutoffanunboundedpartofthedomainbyintroducinganartificialboundaryandsetupanaPpropriatear-tificialboundaryconditiononthearti%ialboundaryThentheoriginalproblemisapproximatedbyaproblemonbou.d.dfdomain.Inthelastteny6aJrs,b…