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500 个结果
  • 简介:我们学习形式非线性堕落椭圆形问题解决方案存在结果,—div((x,u,∇u))在Ω=F,在Ω是ℝN,N≥个围住领域地方2,:Ω×ℝ×ℝN→ℝN是Carathéodory功能令人满意自然生长条件和coercivity调节,但是他们验证仅仅大单音强健。第二条款F属于W−1,p′(Ω,w*)。存在结果被使用L1-version证明薄荷词根。

  • 标签: 退化问题 引理 索伯列夫空间 计算方法 数学理论
  • 简介:ThisvolumeisdedicatedtoProfessorXiaqiDing,anacademicianoftheChineseAcademyofSciences,ontheoccasionofhiseightiethbirthday.ProfessorXiaqiDingwasbornonMay25,1928,inTaoJiangcounty,Hunanprovince.Hewasgraduatedin1951fromtheDepartmentofMathematics,WuhanUniversity.Becauseofhisoutstandingacademicperformance,hewasselectedrightaftercollegeforhisstudyandresearchat

  • 标签: 院士 数学 教授 生日
  • 简介:InJulyof1987,theSamplingSurveyofChildren’sSituationwasconductedin9provincesautonomousregionsofChina.Astratifiedtwo--stageclustersamplingplanwasdesignedforthesurvey.Thepaperpresentsthemethodsofstratification,selectingn=2PSU’s(cities/counties)withunequalprobabilitieswithoutreplacementineachstratumandselectingresidents/villagecommitteeineachsampledcity/county.Allformulaeofestimatingpopulationcharacteristics(especiallypopulationtotalsandtheratiosoftwototals),andestimatingvariancesofthoseestimatorsaregiven.Finally,weanalysetheprecisionofthesurveypreliminarilyfromtheresultofdataprocessing.

  • 标签: selecting estimating SAMPLED FORMULAE STRATIFICATION Sampling
  • 简介:ThemainaimofthispaperistoprovideconvergenceanalysisofQuasi-WilsonnonconformingfiniteelementtoMaxwell'sequationsunderarbitraryquadrilateralmeshes.Theerrorestimatesarederived,whicharethesameasthoseforconformingelementsunderconventionalregularmeshes.

  • 标签: 误差估计 麦克斯韦方程式 任意四边形 非一致性元素
  • 简介:ThispaperpresentsapropersplittingiterativemethodforcomparingthegeneralrestrictedlineareuqationsAx=b,x∈T(where,b∈AT,andTisanarbitrarybutfixedsubspaceofCm)andthegeneralizedinAT,SForthespecialcasewhenb∈ATanddim(T)=dim(AT),thissplittingiterativemethverseAT,ShodconvergestoAT,Sb(theuniquesolutionofthegeneralrestrictedsystemAx=bx∈T).

  • 标签: PROPER SPLITTING RESTRICTED linear equations the
  • 简介:Inthispaper,weusethedeformationmethodandG-equivarianttheorytoprovetheexistenceandmultiplicityofharmonicmapsfromanannulustotheunitsphereinR~3withsymmetricboundaryvalue.Inparticular,wecangetinfinitelymanyhomotopicallydifferentharmonicmapsiftheboundaryvalueisS~1-equivariantandnonconstant.

  • 标签: INFINITELY MULTIPLICITY harmonic proof regularity invariant
  • 简介:Inthispaper,anewclassofsolutionsofthevacuumEinstein'sfieldequationswithcosmologicalconstantisobtained.Thisclassofsolutionspossessesthenakedphysicalsingularity.ThenormoftheRiemanncurvaturetensorofthisclassofsolutionstakesinfinityatsomepointsandthesolutionsdonothaveanyeventhorizonaroundthesingularity.

  • 标签:
  • 简介:Inthispaper,theconceptofthes-doublydiagonallydominantmatricesisintroducedandthepropertiesofthesematricesarediscussed.Withthepropertiesofthes-doublydiagonallydominantmatricesandthepropertiesofcomparisonmatrices,someequivalentconditionsforH-matricesarepresented.TheseconditionsgeneralizeandimproveexistingresultsabouttheequivalentconditionsforH-matrices.Applicationsandexamplesusingthesenewequivalentconditionsarealsopresented,andanewinclusionregionofk-multipleeigenvaluesofmatricesisobtained.

  • 标签: H-矩阵 S-双对角占优矩阵 余角 高斯变换
  • 简介:ThisarticleobtainsanexplicitexpressionoftheheatkernelsonH-typegroupsandthenfollowtheestimateofheatkernelstodeducetheHardy'suncertaintyprincipleonthenilpotentLiegroups.

  • 标签: 不确定性原理 类型分析 热核函数 数学
  • 简介:Inordertoimprovethecarsalesservice4Sshopmanagementlevel,improvetheeconomicandsocialbenefitsofenterprises,incentivesareusedtoencouragetheirown4sshops.Inthispaper,throughouttherelatedanalysisofthequarterlyandannualawardsincentiveprograminlarge-scaledomesticautomobileenterprises,entropymethodwithMATLABsoftwareisappliedtoestablishthedimensionalfitfunction.Inthedataprocessing,themultiplelinearregressionfunctionintoLingosoftwareisemployedtogetthebestsolution;andClanguageisusedtorunthescreeningdataprogramthroughtheconsistencytestprograminthesensitivityanderroranalysis.Firstofall,considerthecompanytomaximizeprofitsandmaximizetheamountofcomplaintsinthestoretomaintainalowtarget;intermsofstaff,weshouldconsiderprovidingmoreincentivesforemployees;inthecustomer,theoverallsatisfaction,serviceAttitude,vehiclecleanlinessbasedshouldbeimproved.Andtwoprogramsforthemonthlyprofitandexcessprofitsofprogressiveincentivesshouldalsobeimproved.

  • 标签: ENTROPY Weight Method RELATED INDICATORS GRAY
  • 简介:Itiswellknownthatcertainisotopyclassesofpseudo-AnosovmapsonaRiemannsurfaceSofnon-excludedtypecanbedefinedthroughDehntwistst(α|~)andt(β|~)alongsimpleclosedgeodesies(α|~)and(β|~)on(S|~),respectively.LetGbethecorrespondingFuchsiangroupactingonthehyperbolicplaneHsothatH/G≌(S|~).Foranypointa∈(S|~),defineS=(S|~)\{a}.Inthisarticle,theauthorgivesexplicitparabolicelementsofGfromwhichheconstructspseudo-AnosovclassesonSthatcanbeprojectedtoagivenpseudo-Anosovclasson(S|~)obtainedfromThurston'sconstruction.

  • 标签: 黎曼几何 影射类 德恩扭转 第二类开尔文函数
  • 简介:ThispaperpresentsthelimitingexpressionforthegencalizedinverseAT.S(2)anditscorresgondingprojectorsSincecomononimnortorsinverses,suchasandAT.S(2)etcareallgeneralizedineeAT.S(2)Infact,wegiveaunifiedlimitingformulaofcomputinesuchimporiantgeneralinedinversesanditscorrespondingproiectors,BasedonthisweestalishandimbedlingmethodfirecompotingthegeneralizedinverseAT.S(2)Theresultsextendearlierworkbyvariousauthors.

  • 标签: LIMITING EXPRESSION generalized mverse A t.s(2)
  • 简介:X-rayimagingistheconventionalmethodfordiagnosingtheorthopedicconditionofapatient.ComputerizedTomography(CT)scanningisanotherdiagnosticmethodthatprovidespatient’s3Danatomicalinformation.However,bothmethodshavelimitationswhendiagnosingthewholeleg;X-rayimagingdoesnotprovide3Dinformation,andnormalCTscanningcannotbeperformedwithastandingposture.Obtaining3Ddataregardingthewholeleginastandingpostureisclinicallyimportantbecauseitenables3Danalysisintheweightbearingcondition.Basedontheseclinicalneeds,ahardware-basedbi-planeX-rayimagingsystemhasbeendeveloped;itusestwoorthogonalX-rayimages.However,suchmethodshavenotbeenmadeavailableingeneralclinicsbecauseofthehightcost.Therefore,weproposedawidelyadaptivemethodfor2DX-rayimageand3DCTscandata.Bythismethod,itispossibletothreedimensionallyanalyzethewholeleginstandingposture.TheoptimalpositionthatgeneratesthemostsimilarimageisthecapturedX-rayimage.Thealgorithmverifiesthesimilarityusingtheperformanceoftheproposedmethodbysimulation-basedexperiments.Then,weanalyzedtheinternal-externalrotationangleofthefemurusingrealpatientdata.Approximately10.55degreesofinternalrotationswerefoundrelativetothedefinedanterior-posteriordirection.Inthispaper,wepresentausefulregistrationmethodusingtheconventionalX-rayimageand3DCTscandatatoanalyzethewholelegintheweight-bearingcondition.

  • 标签: 2D-3D REGISTRATION 3D analysis X-RAY CT
  • 简介:Asacontinuationof[1],theauthorstudiesthelimitcyclebifurcationaroundthefocusS1otherthanO(0,0)forthesystem(1)asδvaries.Aconjectureonthenon-existenceoflimitcyclesaroundS1,andanotheroneonthenon-coexistenceoflimitcycleswoundbothOandS1aregiven,togetherwithsomenumericalexamples.

  • 标签: 极限循环 分歧曲线 二次非线性系统 反鞍点
  • 简介:ANHARMONICANALYSISFOROPERATORSINTHECASEOFALOCALLYCOMPACTABELIANGROUP:F.ANDM.RIESZ THEOREMSYuShumo(于树模)(Dept.ofMath.,FudanUniv...

  • 标签: ABEL 树模
  • 简介:M是紧缩orientable无法缩减3-manifold,和F是在把M切成二manifoldsM1和M2M必要连接关上表面。如果Mi有最小Heegaard切开Mi=$V_i\cup_{H_i}$V_i\cup_{H_i}有d(H1)Wi+d(H2)2(g(M1)+g(M2)?g(F))+1,然后g(M)=g(M1)+g(M2)?g(F)。

  • 标签: Heegaard分裂 流形 合并 不可约 表面 H2