简介:ThenotionofafuzzyretractwasintroducedbyRodabaugh(1981).Thenotionofafuzzypairwiseretractwasintroducedin2001.Someweakformsandsomestrongformsofα-continuousmappingswereintroducedin1988and1997.TheauthorsextendsomeoftheseformstotheL-fuzzybitopologicalsettingandconstructvariousα-fuzzypairwiseretracts.TheconceptofweaklyinducedspacesinthecaseL=[0,1]wasintroducedbyMartin(1980).LinandLuo(1987)generalizedthisnotiontothecasethatLisanarbitraryF-latticeandintroducedthenotionofinducedL-fts.Severalresultsareobtained,especially,forL-valuedpairwisestratificationspaces.
简介:基于Lyapunov-Schmidt方法求出给定方程的分岐方程,Newton迭代得到其在分岐点附近的近似非平凡解枝,得到了满意的结果.
简介:WeinvestigatethenonlinearSchrdingerequationiut+△u+|u|p-1u=0with1+4/N
||Q||(1-sc)/sc|▽Q||2,theneitheru(t)blowsupinfiniteforwardtimeoru(t)existsgloballyforpositivetimeandthereexistsatimesequencetn→+∞suchthat||▽u(tn)||2→+∞.HereQisthegroundstatesolutionof—(1—sc)Q+△Q+|Q|p-1Q=0.Asimilarresultholdsfornegativetime.Thisextendtheresultofthe3DcubicSchr(o|¨)dingerequationobtainedbyHolmertothegeneralmass-supercriticalandenergy-subcriticalcase.
简介:EscherichiacoliL-asparaginasewasmodifiedwithO-car-boxymethylatedchitosanusingglutaraldehydeasacouplingagent.Theresultingcoujugateretainedmorethan50%ofitsoriginalenzymeactivityundertheprotectionofitsnormalsubstrateorproductandshowedmarkedresistancetoproteolysisbytrypsinandchymotrypsin.
简介:ByusingOH-terminatedpolyaryletherdendrimerandN-Fmoc-glycineasrawmaterials,thedendriticpolyarylether2-aminoacetate(G3-NH2)wassynthesizedviatwostepreactions.G3-NH2asamacroinitiatorforthering-openingpolymerizationofγ-benzylL-glutamateN-carboxyanhydridewasinvestigated.Itisfoundthattheresultingcopolymerspossessedrelativelyhighmolecularweightandnarrowmolecularweightdistribution(1.12
简介:Inthispaper,theL1-normestimatorsandtherandomweightedstatisticforasemiparametricregressionmodelareconstructed,thestrongconvergenceratesofestimatorsareobtainundercertainconditions,thestrongefficiencyoftherandomweightingmethodisshown.AsimulationstudyisconductedtocomparetheL1-normestimatorwiththeleastsquareestimatorintermofapproximateaccuracy,andsimulationresultsaregivenforcomparisonbetweentherandomweightingmethodandnormalapproximationmethod.
简介:Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.
简介:The(Nrlund)logarithmicmeansoftheFourierseriesoftheintegrablefunctionfis:1/l_nsumfromk=1ton-1S_k(f)/(n-k),wherel_n:=sumfromk=1ton-11/kInthispaperwediscusssomeconvergenceanddivergencepropertiesofthislogarithmicmeansoftheWalsh-Fourierseriesoffunctionsintheuniform,andintheL~1Lebesguenorm.Amongothers,asanapplicationofourdivergenceresultswegiveanegativeanswertoaquestionofMóriczconcerningtheconvergenceoflogarithmicmeansinnorm.
简介:ConformationofL-lysineinaqueoussolutionwasinvestigatedbylanthanideshiftprobes(Dy,Ho,Er,TmandYb).Reilley’smethodwasemployedtoseparatethecontactanddipolarcom-ponentsofthe13Cparamagneticshifts.ThisstudyrevealsthatCαshifthasthelargestcontactcon-tributionwhiletheothercarbonshiftsaredominatedbythedipolarcontribution.TheaverageoverallconformationofL-lysineinaqueoussolutionisextendedwiththemolecularbackboneintransform.Inthecomplex,lanthanideioncoordinatestothecarboxylgroupwithLn—Obondlength2.2/nandthewholeligandislocatedoutsidethezero-dipolarshiftconeofthelanthanideion.Theelectronicspindensitydistributionontheligandnucleishowsthatthespinpolarizationisthepredominantmech-anismofthecontactinteractionfornucleiincloseproximitytotheboundlanthanideion.