简介:Inthispaper,someteststatisticsOfKolmogorovtypeandCramervonMisestypebasedonprojectionpursuittechniqueareproposedfortestingthesphericityproblemofahigh-dimensionaldistribution.Thelimitingdistributionsoftheteststatisticsarederivedunderthenullhypothesis.TheasymptoticpropertiesofBootstrapapproximationareinvestigatedandthetailbehaviorsofthestatisticsarestudied.
简介:Thispaperaddsanegativevelocityfeedbacktothedynamicalsystemoftwin-tailaircrafttosuppressthevibration.Thesystemisrepresentedbytwocoupledsecond-ordernonlineardifferentialequationshavingbothquadraticandcubicnonlinearities.Thesystemdescribesthevibrationofanaircrafttailsubjectedtobothmulti-harmonicandmulti-tunedexcitations.Themethodofmultipletimescaleperturbationisadoptedtosolvethenonlineardifferentialequationsandobtainapproximatesolutionsuptoth...
简介:Wefirstreportafabricationtechniqueofnanoscalespecklepatternsonpolymersusingbroadionbeammilling.Theproposedtechniqueissimpleandlow-costtoproducespecklesrangingfromdozensofnanometerstolessthanthreemicrometersinalargeareaofseveralmillimeters.Randompatternsweresuccessfullyproducedwithanargon(Ar)ionbeamonthesurfacesoffourkindsofpolymers:theepoxymatrixofcarbonfiberreinforcedplastic,polyester,polyvinylformal-acetal,andpolyimide.Thespecklemorphologiesslightlyvarywithdifferentpolymers.Thefabricatedspecklepatternshavegoodtimestabilityandarepromisingtobeusedtomeasurethenanoscaledeformationsofpolymersusingthedigitalimagecorrelationmethod.
简介:Lateralorganizationanddynamicsoflipidsinplasmamembranesarecrucialforseveralcellularprocessessuchassignaltransductionacrossthemembraneandstillremainelusive.Inthispaper,usingcoarse-grainedmoleculardynamicssimulation,wetheoreticallystudythecombinedeffectsofheadgroupchargeandtailunsaturationoflipidsonthelateralorganizationanddiffusionoflipidsinternarylipidbilayers.Inneutralternarylipidbilayerscomposedofsaturatedlipids,unsaturatedlipids,andcholesterols,undertheconditionsofgiventemperatureandcomponents,themainfactorforthephaseseparationistheunsaturationofunsaturatedlipidsandthebilayerscanbeseparatedintoliquid-ordereddomainsenrichedinsaturatedlipidsandcholesterolsandliquid-disordereddomainsenrichedinunsaturatedlipids.Oncetheheadgroupchargeisintroduced,theelectrostaticrepulsionbetweenthenegativelychargedlipidheadgroupswillincreasethedistancebetweenthechargedlipids.Wefindthatthelateralorganizationanddiffusionofthelipidsinthe(partially)chargedternarylipidbilayersaredeterminedbythecompetitionbetweentheheadgroupchargeandtheunsaturationoftheunsaturatedlipids.Inthebilayerscontainingunsaturatedlipidswithlowerunsaturation,theheadgroupchargeplaysacrucialroleinthelateralorganizationanddiffusionoflipids.Theheadgroupchargemaymakethelipiddomainsunstableandevencansuppressphaseseparationofthelipidsinsomesystems.However,inthebilayerscontaininghighlyunsaturatedlipids,thelateralorganizationanddiffusionoflipidsaremainlydominatedbytheunsaturationoftheunsaturatedlipids.Thisworkmayprovidesometheoreticalinsightsintounderstandingtheformationofnanosizeddomainsandlateraldiffusionoflipidsinplasmamembranes.