简介：Itisconsiderednecessarythatanadditionaltermrepresentingthedirectsoundbeintroducedintotheclassicalnormalmodesolutionofsoundfieldinenclosures,toaccordwithpracticeandtomaketheformu-lamoreuseful.

简介：Itisfoundthattheopencompositetrapezoidalformulaearethebestquadratureformulaeunderthreedifferentsenses.

简介：Inthispaperweobtainedgeneralrepresentationformulaeforstronglycontinuouscosineoperatorfunctionsviaprobabilisticapproach,whichincludeWebb’s[1]andShaw’s[2]formulaeandsomenewoneasspecialcases.Wealsogivethequantitativeestimationsforthegeneralformulae.

简介：

简介：TheBacklundtransformation(BT)forafifthorderKdVequationispresentedinthebilinearform.Furthermore,anonlinearsuperpositionformularelatedtotheBTobtainedaboveisprovedrigorously.Bytheway,anonlinearsuperpositionformulaofamodifiedfifthorderKdVequationisalsogiven.

简介：Inordertoevaluatethevalidityofcommonlyusedformulaedescribingerosionanddepositionofcohesivesedimentsfortheirapplicationwithinnumericalsimulations,acombinedexperimentalandnumericalinvestigationiscarriedout.Anannularflumeisusedforexperimentsonerosionanddepositionofreservoirmuds.Theresultsoftheseexperimentsserveasvalidationdatafortheformulaeinconsideration.Forthisvalidation,theexperimentsarereproducedwithinanumericalsimulation,whichconsistsoftwoparts:Inafirststep,theflowintheannularflumeissimulatedwithina3Dlargeeddysimulation.Theflowfieldsobtainedinthesesimulationsthenserveasinputforthesecondstep,adecoupled2DVsimulationoferosionanddepositionprocessesduringtheexperiments.TheinvestigatedformulaearethoseofPartheniadesandParchure&MehtaconcerningerosionandofKroneandRichardson&Zakiconcerningdeposition.

简介：Weconsiderthecomputationofthe.Cauchyprincipalvaluemtegralbyquadratureformulaeofcompoundtype,whichareobtainedbyreplacingfbyapiecewisedefinedfunctionF,[_f].Thebehaviouroftheconstantsmtheestimateswherequadratureerror)isdeterminedforfixediandwhichmeansthatnotonlythe.order,butalsothecoefficientofthemaintermofisdetermined.Thebehaviouroftheseerrorconstantsiscompared-withthecorrespondingonesobtainedforthe.methodofsubtractionofthesingularity.Asitturnsout,theseerrorconstantshave,ingeneral,thesameasymptoticbehaviour.

简介：Avariationaltechnique(VT)isappliedtoestimatesurfacesensibleandlatentheatfluxesbasedonobservationsofairtemperature,windspeed,andhumidity,respectively,atthreeheights(1m,4m,and10m),andthesurfaceenergyandradiationbudgetsbythesurfaceenergyandradiationsystem(SERBS).Themethodfullyusesallinformationprovidedbythemeasurementsofairtemperature,wind,andhumidityprofiles,thesurfaceenergybudget,andthesimilarityprofileformulaeaswell.DatacollectedatFeixiexperimentstationinstalledbytheChinaHeavyRainExperimentandStudy(HeRES)Programareusedtotestthemethod.Resultsshowthattheproposedtechniquecanovercomethewell-knownunstablilityproblemthatoccurswhentheBowenmethodbecomessingular;incomparisonwiththeprofilemethod,itreducesboththesensitivitiesoflatentheatfluxestoobservationalerrorsinhumidityandthoseofsensibleheatfluxestoobservationalerrorsintemperature,whiletheestimatedheatfluxesapproximatelysatisfythesurfaceenergybudget.Therefore,thevariationaltechniqueismorereliableandstablethanthetwoconventionalmethodsinestimatingsurfacesensibleandlatentheatfluxes.

简介：Ⅰ.INTRODUCTIONANDBACKGROUNDIntheintroductionofherrecentbookonUr-NammaintheSumerianliterarytradition,E.Flckiger-HawkeroffersacomprehensiveaccountandsummaryofthepreviousscholarshipofthecomplicatedpoliticalhistorybetweenthefalloftheAkkadianempireandthebeginningoftheUrⅢperiod.Fromthisaccount,itbecomesclearthatthisscholarshipprimarilyreliesonvariousinterpretationsof