简介:基于Lyapunov-Schmidt方法求出给定方程的分岐方程,Newton迭代得到其在分岐点附近的近似非平凡解枝,得到了满意的结果.
简介:BoththeexpansiveNewton'sinterpolatingpolynomialandtheThiele-Werner'sin-terpolationareusedtoconstructakindofbivariateblendingThiele-Werner'soscula-toryrationalinterpolation.Arecursivealgorithmanditscharacteristicpropertiesaregiven.Anerrorestimationisobtainedandanumericalexampleisillustrated.
简介:ThisvolumeisdedicatedtoProfessorXiaqiDing,anacademicianoftheChineseAcademyofSciences,ontheoccasionofhiseightiethbirthday.ProfessorXiaqiDingwasbornonMay25,1928,inTaoJiangcounty,Hunanprovince.Hewasgraduatedin1951fromtheDepartmentofMathematics,WuhanUniversity.Becauseofhisoutstandingacademicperformance,hewasselectedrightaftercollegeforhisstudyandresearchat
简介:InJulyof1987,theSamplingSurveyofChildren’sSituationwasconductedin9provincesautonomousregionsofChina.Astratifiedtwo--stageclustersamplingplanwasdesignedforthesurvey.Thepaperpresentsthemethodsofstratification,selectingn=2PSU’s(cities/counties)withunequalprobabilitieswithoutreplacementineachstratumandselectingresidents/villagecommitteeineachsampledcity/county.Allformulaeofestimatingpopulationcharacteristics(especiallypopulationtotalsandtheratiosoftwototals),andestimatingvariancesofthoseestimatorsaregiven.Finally,weanalysetheprecisionofthesurveypreliminarilyfromtheresultofdataprocessing.
简介:ThispaperpresentsapropersplittingiterativemethodforcomparingthegeneralrestrictedlineareuqationsAx=b,x∈T(where,b∈AT,andTisanarbitrarybutfixedsubspaceofCm)andthegeneralizedinAT,SForthespecialcasewhenb∈ATanddim(T)=dim(AT),thissplittingiterativemethverseAT,ShodconvergestoAT,Sb(theuniquesolutionofthegeneralrestrictedsystemAx=bx∈T).
简介:Inthispaper,weusethedeformationmethodandG-equivarianttheorytoprovetheexistenceandmultiplicityofharmonicmapsfromanannulustotheunitsphereinR~3withsymmetricboundaryvalue.Inparticular,wecangetinfinitelymanyhomotopicallydifferentharmonicmapsiftheboundaryvalueisS~1-equivariantandnonconstant.
简介:Inthispaper,anewclassofsolutionsofthevacuumEinstein'sfieldequationswithcosmologicalconstantisobtained.Thisclassofsolutionspossessesthenakedphysicalsingularity.ThenormoftheRiemanncurvaturetensorofthisclassofsolutionstakesinfinityatsomepointsandthesolutionsdonothaveanyeventhorizonaroundthesingularity.
简介:Inthispaper,theconceptofthes-doublydiagonallydominantmatricesisintroducedandthepropertiesofthesematricesarediscussed.Withthepropertiesofthes-doublydiagonallydominantmatricesandthepropertiesofcomparisonmatrices,someequivalentconditionsforH-matricesarepresented.TheseconditionsgeneralizeandimproveexistingresultsabouttheequivalentconditionsforH-matrices.Applicationsandexamplesusingthesenewequivalentconditionsarealsopresented,andanewinclusionregionofk-multipleeigenvaluesofmatricesisobtained.
简介:Inordertoimprovethecarsalesservice4Sshopmanagementlevel,improvetheeconomicandsocialbenefitsofenterprises,incentivesareusedtoencouragetheirown4sshops.Inthispaper,throughouttherelatedanalysisofthequarterlyandannualawardsincentiveprograminlarge-scaledomesticautomobileenterprises,entropymethodwithMATLABsoftwareisappliedtoestablishthedimensionalfitfunction.Inthedataprocessing,themultiplelinearregressionfunctionintoLingosoftwareisemployedtogetthebestsolution;andClanguageisusedtorunthescreeningdataprogramthroughtheconsistencytestprograminthesensitivityanderroranalysis.Firstofall,considerthecompanytomaximizeprofitsandmaximizetheamountofcomplaintsinthestoretomaintainalowtarget;intermsofstaff,weshouldconsiderprovidingmoreincentivesforemployees;inthecustomer,theoverallsatisfaction,serviceAttitude,vehiclecleanlinessbasedshouldbeimproved.Andtwoprogramsforthemonthlyprofitandexcessprofitsofprogressiveincentivesshouldalsobeimproved.
简介:<正>LetMbeacompactminimalsurfaceinS3.Y.J.Hsuprovedthatif‖S‖2≤2(21/2π,thenMiseithertheequatorialsphereortheCliffordtorus,where5"isthesquareofthelengthofthesecondfundamentalformofM,‖·‖2denotestheL2-normonM.Inthispaper,wegeneralizeHsu’sresulttoanycompactsurfacesinS3withconstantmeancurvature.
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.