简介:Inthispaper,thetheoremsconcerningthesummationofFourierserieswithparameteraregivenbyusingtheLaplacetransforms.BymeansoftheknownresultofLaplacetransforms,manynew,importantproblemsofsummationofFourierserieswithparameterinmechanicscanbesolved.
简介:ThispaperconstructsaclassofHarish-Chandramoduleswithmultiplicity<-1ofthetwoparameterdeformationofVirasoroalgebraandprovesaclassificationtheorem.
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简介:BasedontheFenlon‘stheorytheparametriceffectsinfluidsduetothenonlinearinteractionofalowfrequencypumpingwaveandahighfrequencyprobingwaveareanalysed.TheexpressionsofpressureamplitudeofsumordifferencefrequencysidebandandthefromulaofnonlinearityparameterB/Aforlossymediumarederived.Theoreticalcalculationdemonstrated,thatthesidebandcomponentsincreaselinearlywithpumpsignal.Therefore,amethodfordeterminationofB/Aisprovidedandtheval-uesforseveralbiologicalfluidsandmixturesaremeasured.
简介:Parameteridentificationproblemisoneofessentialprobleminordertomodeleffectivelyexperimentaldatabyfractalinterpolationfunction.Inthispaper,wefirstpresentanexampletoexplainarelationshipbetweeniterationprocedureandfractalfunction.Thenwediscussconditionsthatverticalscalingfactorsmustobeyinonetypicalcase.
简介:Optimalswitchingandimpulsecontrolsforadistributedparametersystemsareconsidered.Weprovethatthevaluefunctionsu_u(·)ofapproximatingproblemsapproachtothevaluefunctionu(·)oftheoriginalproblem,whileu_u(·)istheuniqueviscositysolutionofthecorrespondingHamilton-Jacobi-Bellmansystem.Wealsoconstructanoptimalcontrolfortheoriginalproblemviathevaluefunctionu(·).
简介:1.IntroductionManyphysicalsystems,suchajsthemodynamics,electrodynamics,populationbiology,aregovernedbydifferentialequations,integrodifferentialequationsormoregenerallyfunctionaldifferentialevolutionequationsonBanachspace.Associatedoptimalcontrolprobl...
简介:Amongtheavailableclusteringalgorithmsindatamining,theCLOPEalgorithmattractsmuchmoreattentionwithitshighspeedandgoodperformance.However,theproperchoiceofsomeparametersintheCLOPEalgorithmdirectlyaffectsthevalidityoftheclusteringresults,whichisstillanopenissue.Forthispurpose,thispaperproposesafuzzyCLOPEalgorithm,andpresentsamethodfortheoptimalparameterchoicebydefiningamodifiedpartitionfuzzydegreeasaclusteringvalidityfunction.TheexperimentalresultswithrealdatasetillustratetheeffectivenessoftheproposedfuzzyCLOPEalgorithmandoptimalparameterchoicemethodbasedonthemodifiedpartitionfuzzydegree.
简介:TheanalysesoflighthydrocarbonsinoilsfromtheTarimBasinshowthattheMango'sparameterKisaboutunityexceptthoseoilstrappedintheeasternpartoftheTazhong(CentralTarim)FaultUplift,TheregularvarianceofKmayindicatestheaccumulationandadmixtureoftheoilpopulationsintheeasternpartoftheTazhongFaultUplift.
简介:Inthispaper,forzero-failuredata(ti,ni),atmomentti,ifthepriordistributionofthefailureprobabilitypi=P{T<ti}isincompleteFisher-Zdistribution:Fisher-Z(0,λi;a,b),theauthorgivespihierarchicalBiyesianestimationandtheestimationofreliabilityunderzero-failuredataconditionisobtainedalso.Theauthoralsogivesapracticalcalculatingexampleusingthetheory.
简介:Tworocksampleswithdifferentstructuresandmaterialsweredeformedunderabiaxialloadingsystem,andmulti-pointstrainmeasurementswereperformedforeachsample.ThedistributionofstrainanomaliesduringthedeformationandtheinstabilityprocesswereanalyzedbyusingCvvalueputforwardbyWANGXiao-qingandCHENXue-zhong,etal,aparametertodescribetheheterogeneousdistributionofearthquakeprecursors,soastoexaminethemethodofCvvalueandtoexploreitsphysicalmeaningexperimentally.TheresultshowsthatthechangeofCvvalueiscorrelatedtothechangeofdeformationcharacteristicsandisaneffectiveparametertodescribetheheterogeneityofprecursordistribution.Cvvalueincreasesfirstlyandthendecreasesbeforetheinstability,andtheinstabilityoccurswhenCvvaluedecreasestothelevelbeforeincreasing.ThisindicatesthatCvvaluemaybeausefulparameterforearthquakeprediction.
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简介:Theboundedparameterestimationproblemanditssolutionleadtomoiemeaningfulresults.Itssuperiorperformanceisduetothefactthatthenewmethodguaranteesthattheeffectoftheuncertaintieswillneverbeunnecessarilyoverestimated.Wethenconsiderhowtoupdateanddowndatetheboundedparameterestimationproblem.WhenupdatinganddowndatingofSVDareusedtothenewproblem,specialtechnologiesaretakentoavoidformingUandVexplicitly,thenincreasethealgorithmperformance.BecauseofthelinkbetweentheboundedparameterestimationandTikhonovregularizationprocedure,wepointoutthatouralgorithmscanalsobeusedtomodifyregularizationproblem.
简介:Inthispaper,Usingthedailystockreturndata,weshowthatShanghaistockmarketpricesexhibitlongmemoryprocess,andestimatethelong-memoryparametersbywavelet.Usingthesparsewaveletrepresentationofamatrixoperator,weareabletoapproximateanARFIMAmodelslikelihoodfunctionwiththeseries'swaveletcoefficientsandtheirvariances.MaximizationofthisapproximatelikelihoodfunctionoverthelongmemoryparameterspaceresultsintheapproximatewaveletmaximumlikelihoodestimatesoftheARFIMAmodel.