简介:Inthepresentpaper,westudycertaindifferentialinequalitiesinvolvingp-valentfunctionsandobtainsufficientconditionsforuniformlyp-valentstarlikenessanduniformlyp-valentconvexity.Wealsoofferacorrectversionofsomeknowncriteriaforuniformlyp-valentstarlikeanduniformlyp-valentconvexfunctions.
简介:Weintroducethecategoryoft-foldmoduleswhichisafullsubcategoryofgradedmodulesoveragradedalgebra.Weshowthatthissubcategoryandhencethesubcategoryoft-Koszulmodulesarebothclosedunderextensionsandcokernelsofmonomorphisms.Westudytheone-pointextensionalgebras,andanecessaryandsufficientconditionforsuchanalgebratobet-Koszulisgiven.Wealsoconsidertheconditionssuchthatthecategoryoft-Koszulmodulesandthecategoryofquadraticmodulescoincide.
简介:Theglassytransitionofthepolyethyleneterephthalate(PET)sampleswhichhavebeensubjectedtosolventinducedcrystallization(SINC)wasinvestigatedbymodulateddifferentialscanningcalorimetry(MDSC)anddensitymeasurement.Thedif-ferentialofheatcapacitysignal,dC_p/dTfromMDSC,wasusedtomonitortheSINCprocess.ItrevealsthattheT_gtemperatureshiftstohighervaluewiththeadvancementofSINC.Whenthetoluene-immersingtimewaslonger(168h),thedetectionofT_gbecomemoredifficult,becausesomesmallerpeaksemergedatthelowertemperaturesandtheseareexplainedasthemovementofsmallsegmentsintheamorphousregion.TheseobservedresultsareduetothemorphologyandstructureintroducedbytheSINCprocess.
简介:Inthispaper,weshallestablishthateachweaksolutionofp-harmonictypesystemswiththegradientsbelowthecontrollablegrowthbelongsto,HldercontinuityspaceswithanyHlderexponenta∈[0,1).Furthermore,wecanobtainthatthegradientsofthecorrespondingweaksolutionsalsobelongtolocallyHldercontinuityspaceswithsomeHlderexponent.
简介:InthispaperL^p-L^qestimatesforthesolutionu(x,t)tothefollowingperturbedhigh-erorderhyperbolicequationareconsidered,(ρπ--a△)(ρπ--b△)u+V(x)u=O,x∈R^n,n≥6,ρ1eu(x,O)=O,ρ^3eu(x,O)=f(x),(j=O,1,2).WeassumethattheotentialV(x)andtheinitialdataf(x)arecompactlysupported,andV(x)issufficientlysmall,thenthesolutionu(x,t)oftheaboveproblemsatisfiesthesameL^p-L^qestimatesasthatoftheunperturbedproblem.
简介:InanefforttoutilizeNMRtechniquefortheanalysisofthestructuralcomponentsofwoodandbiomassessuchaslignin,wemadeacomparativestudyoflignincontentsofseveraltypesoflignocellulosicmaterialsbothbeforeandafterenzymatichydrolyses.Tothisend,EucalyptusGlobulus,Norwaysprucethermomechanicalpulp(TMP)cornstoverandEucalyptuskraftpulpwereball-milledandtreatedwithcellulasetopreparematerialswithhighlignincontents.Thesematerialswereanalyzedvia31PNMRinionicliquids.Theresultsshowthatthecontentsofvariousfunctionalgroupsforthelignocellulosicmaterialsafterenzymatichydrolysesaregenerallyinagreementwiththosefromtheircorrespondingenzymaticmildacidolysisliginins(EMALs),indicatingthat31PNMRanalysisoflignocellulosicmaterialsinionicliquidsisapromisingmethodforquantitativecharacterizationoflignocellulosicmaterials.
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:Inthispaper,thenotionofp-waveletpacketsonthepositivehalf-lineR+isintroduced.Anewmethodforconstructingnon-orthogonalwaveletpacketsrelatedtoWalshfunctionsisdevelopedbysplittingthewaveletsubspacesdirectlyinsteadofusingthelowpassandhigh-passfiltersassociatedwiththemultiresolutionanalysisasusedintheclassicaltheoryofwaveletpackets.Further,themethodovercomesthedifficultyofconstructingnon-orthogonalwaveletpacketsofthedilationfactorp>2.