简介:ThispapershowsthatXisuniformlynon-squareiffP(η_o)>0forsomeη_o∈(0,2).ThusXissuper-reflexiveifandonlyifforXthereexistsanequivalentnormwhichmeetstheabovecondition.Byvirtueofthebeforementionedresult,theauthorderivesthenecessary,andsuffi-cientconditionsforXandl~p(X_j)beinguniformlynon-square,respectively,andgivesacharacterizationoffinite-dimensionalspaceswhichareuniformlynon-square.
简介:Amulti-objectiveoptimizationofnon-uniformbeamsispresentedforminimumradiatedsoundpowerandweight.Thetransfermatrixmethodisusedtocomputethestructuralandacousticresponsesofanon-uniformbeamaccuratelyandefficiently.Themulti-objectiveparticleswarmoptimizationtechniqueisappliedtosearchtheParetooptimalsolutionsthatrepresentvariouscompromisesbetweenweightandsoundradiation.Severalconstraintsareimposed,whichsubstantiallyreducethevolumefractionoffeasiblesolutionsinthedesignspace.Twononuniformbeamswithdifferentboundaryconditionsarestudiedtodemonstratethemulti-objectiveoptimaldesignsofthestructure.
简介:Theparallelspectral-domainopticalcoherencetomography(PSDOCT)isdescribedforhigh-speedopticalcoherencetomography(OCT)withoutlateralscanning.Inthissetup,theself-eliminationofauto-correlation(AC)interferencealgorithmwasusedforeradicatingtheACinterferenceandghostimages.However,whenperformedinfreespaceOCT,thisalgorithmstillgeneratedaweakDCcomponent.Thealgorithmwasimprovedbyaddingthebackgroundintensityparttocompensateforthemutualinterferencebetweenobjectandreferencearms.TheresultsdemonstratethattheDCcomponentcanbeeradicated.ComparedwithconventionalOCTandcomplexFourier-domainopticalcoherencetomography,theadvantagesofPSDOCTwiththeimprovedalgorithminfreespacearethatithasnomovingpartstogenerateconsecutivephaseshift,thestructureoftheobjectcanbereconstructedimmediatelyandautomatically,andthespeedisapproximately16timesfasterthanthoseoftheothertwointhesamecase.
简介:INTRODUCTIONForChinesestudentsofEnglish,grammarlearningissoimportantthattheirtextbooksinevitablyentailgrammarsectionsorganizedinalinearway.ThesestudentstreatgrammarlearningasthesteppingstoneontheirwayofEnglishlearning.Theyhopetohaveagoodcommandofgrammarbothfortheirpresentlearningandfortheirfurtherstudies.Fortheirpresentlearning,theirlinguisticknowledgeistestedandassessedthroughexaminations
简介:AmodifiedLindstedt-Poincaré(LP)methodforobtainingtheresonanceperiodicsolutionsofnonlinearnon-autonomousvibrationsystemsisproposedinthispaper.Inthemodifiedmethod,nonlinearnon-autonomousequationsareconvertedintoagroupoflinearordinarydifferentialequationsbyintroducingasetofsimpletransformations.Anapproximateresonancesolutionfortheoriginalequationcanthenbeobtained.Theperiodicsolutionsofprimary,super-harmonic,sub-harmonic,zero-frequencyandcombinationresonancescanbesolvedeffectivelyusingthemodifiedmethod.Someexamples,suchasdampedcubicnonlinearsystemsundersingleanddoublefrequencyexcitation,anddampedquadraticnonlinearsystemsunderdoublefrequencyexcitation,aregiventoillustrateitsconvenienceandeffectiveness.UsingthemodifiedLPmethod,thefirst-orderapproximatesolutionsforeachequationareobtained.Bycomparison,themodifiedmethodproposedinthispaperproducesthesameresultsasthemethodofmultiplescales.
简介:ToovercomethedeficienciesoftheexistingVerhulstGM(1,1)model,basedontheexistinggreytheory,anon-equal-intervaldirectoptimumVerhulstGM(1,1)modelisbuiltwhichchoosesamodifiedn-thcomponentx(n)ofX(0)asthestartingconditionofthegreydifferentialmodel.Itoptimizesamodifiedβvalueandthebackgroundvalue,andtakestwotimesfittingoptimization.Thenewmodelextendsequalintervalstonon-equal-intervalsandissuitableforgeneraldatamodellingandestimatingparameters...