简介:Inthispaper,itisobtainedthataperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlystablewithrespecttoΩ_,andhasaperiodicsolutionifx=(t)isweaklyuniformlyasymptoticallystablewithrespecttoΩ_.Meanwhile,itisalsoobtainedthatauniformlyalmostperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlyasymptoticallystablewithrespecttoA_~f
简介:AstatisticalthermodynamictheoryoflinearproteinsolutionswasproposedwiththeaidofalatticemodelandappliedtotypeⅠantifreezeprotein(AFPI)solutions.ThenumericalresultsforseveralAFPIsolutionsshowthattheGibbsfunctionofthesolutionhasaminimumatacertainproteinconcentration,buttheproteinchemicalpotentialincreaseswithincreasingtheconcentration.TheinfluencesoftemperatureandproteinchainlengthontheAFPIchemicalpotentialwerealsodiscussed.Theevaluationforthecolligativedepressionofthefreezingpointconfirmsthattheantifreezeactionshouldberecognizedasnon-colligative.Thetheoreticaldeductionfortheconcentrationdependenceofthethermalhysteresisactivitycoincidesqualitativelywiththepreviousexperimentalandtheoreticalresults.
简介:Inthispaper,thetheoryofmajorefficiencyformultiobjectiveprogrammingisestablished.Themajor-efficientsolutionsandweaklymajor-efficientsolutionsofmultiobjectiveprogramminggivenhereareParetoefficientsolutionsofthesamemultiobjectiveprogrammingproblem,buttheconverseisnottrue.Inaceratinsense,thesesolutionsareinfactbetterthananyotherParetoefficientsolutions.Somebasictheoremswhichcharacterizemajor-efficientsolutionsandweaklymajor-efficientselutionsofmultlobjectiveprogrammingarestatedandproved.Furthermore,theexistenceandsomegeometricpropertiesofthesesolutionsarestudied.
简介:Itiswellknownthatforsymmetriclinearprogrammingthereexistsastrictlycomplementarysolutioniftheprimalandthedualproblemsarebothfeasible.However,thisisnotnecessarytrueforsymmetricorgeneralsemidefiniteprogrammingevenifboththeprimalproblemanditsdualproblemarestrictlyfeasible.Someotherpropertiesarealsoconcerned.
简介:Theobjectiveofthispaperistogiveaconstructiveapproachtothesolutionofthefundamentalfunctionsforcardinalinterpolationfromashift-invariantspacegeneratedbythe(multi-)integertranslatesofsomecompactlysupportedfunctionwhosepolynomialsymbolhasanon-emptyzeroset.ThisproblemwasfirstintroducedbyChut,Diamond,andRaphael,whereexplicitsolutionsweregivenforvariouszerosets.Later,deBoor,Hollig,andRiemenschneidergaveanexistenceproofforzerosetswhicharemoregeneral.Inthispa-per,wegiveanintegralrepresentationofthefundamentalsolutionsthatcanbemadeexplicitinsomecasesandwewillalsogiveagrowthconditionofsuchfundamentalsolutions.Thefour-directionalboxsplineswillbeusedasanillustrativeexample.
简介:在这份报纸,作者计算同类的Grushin泛音函数的空格的尺寸,并且给他们的一个直角的基础。而且,作者描述这些同质的Grushin泛音基础的节的曲线。作为直角的基础的一个应用程序,作者为Grushin操作符证明一条Liouville类型定理,那是Grushin泛音函数如果如此的一个函数的频率等于某常数,是同类的多项式。
简介:本文研究具有混合边界条件半导体方程的近似解,给出了两种近似格式:Galerkin离散格式和混合变量离散格式,同时还给出了误差分析
简介:WediscussseparabilityofsolutionstoaSchr?dingerequationthatdescribesacompositequantumsystemandgivesomekindsofHamiltoniansH(t)suchthatthesolutiontoSchr?dingerequationinducedbyH(t)isseparableatanytimeprovidedthatitisseparableatt=0.Forexample,weprovethatiftheHamiltonianHistime-independentandequalstotheproductPA■PBoftwoprojectionsonthesubsystemsKAandKB,respectively,thenthestate|ψ(t)ofthecompositesystemstartingfromaseparableinitial|ψ(0)=|ψA■|ψBisseparableforallt∈[0,T]ifandonlyifeither|ψAisaneigenstateofPA,or|ψBisaneigenstateofPB.
简介:EnglishlinguisticimperialismisthatthedominanceofEnglishasaworldlanguageandsetsouttoanalysishowthelanguagebecamesodominant.ItlooksatthespreadofEnglish,inordertoascertainwhetherthelanguagehasactivelypromotedasaninstrumentoftheforeignpolicyofthemajorEnglish-speakingstates,andifso,inwhatways.Last,itwillprovideadescriptionoflanguagepedagogy,thescientificstudyoflanguagelearningandlanguageteaching,hasbeenisolatedfromthesocialsciencesandpoliticaldisconnection.