简介:The1/3subharmonicsolutionfortheDuffing'sequationisinvestigatedbyusingthemethodsofharmonicbalanceandnumericalintegration.Thesensitivityofparametervariationforthetransientprocessandthetransientprocessfortheperturbanceinitialconditionsarestudied.Overandabove,theprecisionofnumericalintegrationmethodisdiscussedandthenumericalintegrationmethodiscomparedwiththeharmonicbalancemethod.Finally,asymptoticalstabilityofthepuresubharmonicoscillationselementisinspected.
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:ProfessorBeranektalkedaboutthesoundqualitiesofconcerthall.The58famousconcerthallsintheworldweregradedaccordingtothesubjectivecomparisonfromtheprofessionalmusiciansandmusiclovers.Sixmeasurableobjectiveparameterswereproposed.Therankingaccordingtotheseparameterswerepresented.
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:Compositesofcarbonaerogelandgraphiteoxide(GO)weresynthesizedusingaself-assemblymethodbasedondispersiveforces.Theirsurfacewasmodifiedbytreatmentinhydrogensulfideat650and800℃.Thesamplesobtainedwerecharacterizedbyadsorptionofnitrogen,TA-MS,XPS,potentiometrictitration,andHRTEMandtestedascatalystsforoxygenreductionreactions(ORR)inanalkalinemedium.Thesynergisticeffectofthecomposite(electricalconductivity,porosityandsurfacechemistry)leadstoagoodORRcatalyticactivity.Theonsetpotentialforthecompositeofcarbonaerogelheatedat800℃isshiftedtoamorepositivevalueandthenumberofelectrontransferwas2e-atthepotential0.68VversusRHEanditincreasedto4e-withanincreaseinthenegativevaluesofthepotential.Anexcellenttolerancetomethanolcrossoverwasalsorecorded.
简介:Becausemostpiezoelectricdeviceshaveinterfaceswithfluidinengineering,itisvaluabletostudythecoupledfieldbetweenfluidandpiezoelectricmedia.Asthefundamentalproblem,the3DGreen'sfunctionsforpointforcesandpointchargeloadedinthefluidandpiezoelectricbimaterialsarestudiedinthispaper.Basedonthe3Dgeneralsolutionsexpressedbyharmonicfunctions,weconstructedthesuitableharmonicfunctionswithundeterminedconstantsatfirst.Then,thecouplefieldinthefluidandpiezoelectricbimaterialscanbederivedbysubstitutionofharmonicfunctionsintogeneralsolutions.Theseconstantscanbeobtainedbyvirtueofthecompatibility,boundary,andequilibriumconditions.Atlast,thecharacteristicsoftheelectromechanicalcoupledfieldsareshownbynumericalresults.
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:ItisshownthatananomalyofthespectrumtakesplaceintheinterferencefieldwhenYoung'sdouble-slitinterferenceexperimentisilluminatedbyspatiallycoherentpolychromaticlight.Specifically,drasticspectralchanges(i.e.thespectralshiftsexhibitarapidtransition)occurinthevicinityofthedarkfringes.Thepotentialapplicationsofthisspectralanomalyarealsoconsidered.