简介:Consideringrollelasticflattening,newequationswereproposedtocalculatetheaveragestrainεand·averagestrainrateεinthehotstriprollingprocess.Bycomparingtheproposedequationswithcurrentlyusedequations,itwasobservedthatthestrainrateofthickstripandstrainarenotsensitivetorollelasticflattening.However,forthinstrip,anoticeablecalculateddifferenceinthestrainrateoccurredwhenrollelasticflatteningwasconsidered.
简介:ThedirectedmotionofaBrownianparticleinaflashingpotentialwithvarioustransitionprobabilitiesandwaitingtimesinoneoftwostatesisstudied.AnexpressionfortheaveragecycleperiodisproposedandthesteadycurrentJoftheparticleiscalculatedviaLangevinsimulation.Theresultsshowthattheoptimalcycleperiodrm,whichtakesthemaximumofJ,isshiftedtoasmallvaluewhenthetransitionprobabilityλfromthepotentialontothepotentialoffdecreases,themaximalcurrentappearsinthecaseoftheaveragewaitingtimeinthepotentialonbeinglongerthaninthepotentialoff,andthedirectionofcurrentdependsontheratiooftheaveragetimeswaitingintwostates.
简介:SmallX-rayScattering(SAXS)experimentusingSynchrotronRadiationasX-raysourcewasusedtodeterminetheaveragewallthicknessofmesoporoussilicaprepardbycondensationoftetraethylorthosilicate(TEOS)usingnon-ionicalkylpolyethyleneoxide(AEO9)surfactantastemplates.Theresultsagreedwiththatofhigh-resolutionTEM(HRTEM)measurement.
简介:Analyzingtheaverage-casecomplexityofalgorithmsisaverypracticalbutverydifficultproblemincomputerscience.Inthepastfewyears,wehavedemonstratedthatKolmogorovcomplexityisanimprotanttoolforanalyzingtheaverage-casecomplexityofalgorithms.Wehavedevelopedtheincompressibilitymethod.Inthispaper,sereralsimpleexamplesareusedtofurtherdemonstratethepowerandsimplicityofsuchmethod.Weproveboundsontheaverage-casenumberofstacks(queues)requiredforsortingsequentialorparallelQueuesortorStacksort.
简介:Thepresentpaperdealswiththeaveragecase,complexityoftheshift-invariantproblem.Themainaimistogiveanewproofoftheupperboundofaverageerroroffiniteelementmethod.OurmethodisbasedonthetechniquesproposedbyHeinrich(1990).WealsopointoutanessentialerrorregardingtheproofoftheupperboundinA.G.Werschulz(1991).
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简介:Motivatedbythedoubleautoregressivemodelwithorderp(DAR(p)model),inthispaper,westudythemovingaveragemodelwithanalternativeGARCHerror.ThemodelisanextensionfromDAR(p)modelbylettingtheorderpgoestoinfinity.Thequasimaximumlikelihoodestimatoroftheparametersinthemodelisshowntobeasymptoticallynormal,withoutanystrongmomentconditions.Simulationresultsconfirmthatourestimatorsperformwell.WealsoapplyourmodeltostudyarealdatasetandithasbetterfittingperformancecomparedtoDARmodelfortheconsidereddata.
简介:Inthispaper,weconsiderthen-widthsandaveragewidthsofBesovclassesintheusualSobolevspaces.TheweakasymptoticresultsconcerningtheKolmogorovn-widths,thelinearn-widths,theGel'fandn-widths,intheSobolevspacesonT~d,andtheinfinite-dimensionalwidthsandtheaveragewidthsintheSobolevspacesonR~dareobtained,respectively.
简介:Amethodbasedonmorphologicalgranulometricanalysisforthespeckleimageispresentedtoestimatethescatteringcoefficientofthescatteringmedia.Itisexperimentallydemonstratedthattheaveragegranulometricsize,derivedfromthesuccessiveopeningoperations,isapproximatelyininverseproportiontothescatteringcoefficientofthesampleinabroadillumination.Furthermore,atheoreticalmodelbasedonthespatialcorrelationfunctionofthebackscatteredintensityfortheexperimentalphenomenonisreported.Theanalysisdemonstratesthattheexplicittheoreticalrelationshipbetweenaveragegranulometricsizeofspeckleandscatteringcoefficientisestablished,andthetheoreticalpredictionisconsistentwiththeexperimentalresult.