简介:WeconductedtheresearchonthecalculationoftheJordannormalformofamatrixfrom1993to1998.Inthisperiod,weobtainedsometheoreticalresults,alsodevelopedandimplementedaseriesofalgorithmsforthetheoreticalresults.Nowthisresearchiscompletedtosomedegree.TheGolub-Wilkinson’sProblemComputingtheJordandecompositionofamatrix,introducedbyG.H.GolubandJ.
简介:WeconsiderthemodificationsofthemonicHermiteandGegenbauerpolynomialsviatheadditionofonepointmassattheorigin.Somepropertiesoftheresultingpolynomialsarestudied;three-termrecurrencerelation,differentialequation,ratioasymptotics,hypergeometricrepresentationaswellas,forlargen,thebehaviouroftheirzeros.
简介:Thepresentpaperdealswiththeaveragecase,complexityoftheshift-invariantproblem.Themainaimistogiveanewproofoftheupperboundofaverageerroroffiniteelementmethod.OurmethodisbasedonthetechniquesproposedbyHeinrich(1990).WealsopointoutanessentialerrorregardingtheproofoftheupperboundinA.G.Werschulz(1991).
简介:Intheflatcase,theanswertotheproblemposedbySteenbrinkandZuckerisgiven.
简介:Datacollectedonthesurfaceoftheearthoftenhasspatialinteraction.Inthispaper,anon-isotropicmixingspatialdataprocessisintroduced,andundersuchaspatialstructureanonparametrickernelmethodissuggestedtoestimateaspatialconditionalregression.Undermildregularities,sufficientconditionsarederivedtoensuretheweakconsistencyaswellastheconvergenceratesforthekernelestimator.Ofinterestarethefollowing:(1)Alltheconditionsimposedonthemixingcoefficientandthebandwidtharesimple;(2)Differentlyfromthetimeseriessetting,thebandwidthisfoundtobedependentonthedimensionofthesiteinspaceaswell;(3)Forweakconsistency,themixingcoefficientisallowedtobeunsummableandthetendencyofsamplesizetoinfinitymaybeindifferentmannersalongdifferentdirectioninspace;(4)However,tohaveanoptimalconvergencerate,fasterdecreasingratesofmixingcoefficientandthetendencyofsamplesizetoinfinityalongeachdirectiona
简介:Assumethatm≥2,pisaprimenumber,(m,p(p-1))=1,-1(Z/mZ)~*and[(Z/mZ)~*:]=4.Inthispaper,wecalculatethevalueofGausssumG(X)=Σ_(x∈F_q~*)x(x)ζ_p~(T(x))overF_q,whereq=p~f,f=((m))/4xisamultiplicativecharacterofF_qandTisthetracemapfromF_qtoF_p.Underourassumptions,G(x)belongstothedecompositionfieldKofpinQ(ζm)andKisanimaginaryquarticabeliannumberfield.WhentheGaloisgroupGal(K/Q)iscyclic,wehavestudiedthiscycliceaseinanotherpaper:'Gausssumsofindexfour:(1)cycliccase'(acceptedbyActaMathematicaSinica,2003).Inthispaperwedealwiththenon-cycliccase.
简介:ThispaperdealswiththeapproximatesolutionoftheFredholmequationLu=fofthesecondkindwithf∈H’(Γ).First,wegivetheorderofthen-theoptimalradiusintheworstcasesetting.Then,weshowthattheGalerkinmethodusing2n+1innerproductsoffhasminimalerror.Finally,wegivetheestimateoftheε-complexityoftheFredholmproblemofthesecondkindandGalerkinmethodintheworstcasesetting.
简介:AFeynmandiagramtheoryforacousto-optic(AO)interactionsisestablished,whichprovidesageneralmethodtocalculatethescatteringamplitudesandintensitiesforbothsingle-frequencyandmultifrequcncyAOinteractions.ThemethodisbasedoncountingthenumberofallowableFeynmandiagrams.Thefollowingimportantassertionhasbeenprovedrigorouslyinthispaper.TheratiosofthenumbersofFeynmandiagramsallowableinvariousBraggdiffractions(isotropie,nondegeneratcbirefringent,anddegeneratebirefringent)tothatinRaman-Nathdiffractionareindependentofthenumberofdifferentacousticfrequencies,beingafunctiononlyoftheorderoftheFeynmandiagramandthediffractionorderofthefinalstate.Generalexpressionsfortheseratiosarcobtained.Basedonthis,completeperturbationsolutionsforthescatteringamplitudesandintensitiesareobtainedforanykindofAOinteractions,anynumberofacousticfrcquencies,andanyfinalstate.Thistheorygivesallresultsobtain
简介:Theeffectsofturbulenceontheaerodynamicproperties,especiallysurface-pressurespectraandvortex-inducedvibrations,oftwo-dimensionalrectangularprismswithslendernessratiosof2and4areinvestigatedexperimentally.Particularattentionisgiventoturbulenceintegralscaleef-fectsfromtheview-pointofenergydistributioninfrequencydomain.
简介:Aninitial-boundaryvalueproblemforshallowequationsystemconsistingofwaterdynamicsequations,silttransportequation,theequationofbottomtopographychange,andofsomeboundaryandinitialconditionsisstudied,theexistenceofitsgeneralizedsolutionandsemidiscretemixedfiniteelement(MFE)solutionwasdiscussed,andtheerrorestimatesofthesemidiscreteMFEsolutionwasderived.Theerrorestimatesareoptimal.
简介:Publicparksprovidemanybenefitstothecommunityastherepresentativesofgreenarea.Theallocationofpublicplacesplaysanextremelyimportantroleinthedailylivesofinhabitantsespeciallyforrecreationalusethatcouldenhancethequalityoflifeofresidentsinthevicinity.Tounderstandparkusers'behaviorisoneofthemostimportantprerequisitesforassessingtheparticipationinpublicservicefromtheparkusers'pointofview.Thepatternofparkutilizationonlocationandactivityselectionareimportantelementsinbehavioralstudy,whilethepublicparkstopographmayalsoinfluencethetypicaluser'sbehavior.Questionnairesurveyonparkutilizationwasusedtoinvestigatetheinteractionbetweenactivityinvolvementandrecreationallocationwiththeuseoflineardiscriminantanalysis(LDA)model.Thestudyfoundthatpublicparkusers'behaviorisinfluencednotonlybysocialcharacteristicsbutalsobytherecreationalactivitiesandtheirspecificlocationcharacteristics.Wefoundthatabout45percentofparkvisitorsarelocalresidentslivingwithinaradiusof3kmpreferredtraveltoparksneartheirresidentialarea.Thisimpliesthatlocationselectionbehavioriscorrelatedwithtraveldistance,traveltimeandtravelcost.Visitfrequenciesandonsiteexpendituresreflecttherecreationbehaviorfordifferenttypeofactivities.Theoverallinformationcanbeusefullyappliedbydecisionmakerstolaunchappropriatepublicpolicyinconsistencewiththeusefulresultsofthisstudy.