简介:TheauthorsmainlyconcernthesetUfofc∈Csuchthatthepowerdeformationzf(z)/zcisunivalentintheunitdisk|z|<1foragivenanalyticunivalentfunctionf(z)=z+a2z2+···intheunitdisk.ItisshownthatUfisacompact,polynomiallyconvexsubsetofthecomplexplaneCunlessfistheidentityfunction.Inparticular,theinteriorofUfissimplyconnected.Thisfactenablesustoapplyvariousversionsoftheλ-lemmafortheholomorphicfamilyzf(z)/zcofinjectionsparametrizedovertheinteriorofUf.ThenecessaryorsufficientconditionsforUftocontain0or1asaninteriorpointarealsogiven.
简介:Letp(z)=beapolynomialdegreenandletThenaccord-ingtoBernstein’sinequality||p’||
简介:ThispaperdealswithanexperimentalinvestigationofpinfinboilingofsaturatedandsubcooledHFE-7100underatmosphericpressure.Finbasetemperatureandheatfluxdataaremeasuredalongwiththefintiptemperature.ThebasicfeaturesofboilingstabilityofHFE-7100boilingonpinfinhadbeenreportedforthefirsttime.Foragivenliquid/heatingsurfacecombinationthereexistuppersteady-state(USS)branchandlowersteady-state(LSS)branch,andalarge,unstableregimelocatedinbetween.Zoneswithdifferentstabilitycharacteristicsaremappedaccordingtoboilingonfinswithdifferentaspectratios.Liquidsubcoolingcanlargelyenhanceheattransferperformance.Alongerfincanprovideasaferoperation.
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简介:Everyoneknowstodayisthestartofthenewyear,butnoteveryoneknowstodayIsalsoZDay.ItsorganizerssaythatonZday,thelastshallbethefirst-andwhatbetterdateforsuchacelebrationthanthefirstdayoftheyear?Sincetodayalsomarksthe1484birthanniversaryoftheSwissReformationleaderUlrichZwingandthestartoftheMexicanZabatlsta
简介:Itiswellknownthateveryprimeidealminimaloveraz-idealisalsoaz-ideal.TheconverseisalsowellknowninC(X).ThuswheneverIisanidealinC(X),thenI~(1/2)isaz-idealifandonlyifIis,inwhichcaseI~(1/2)=I.Weshowthesamefactforz~o-idealsandthenitturnsoutthatthesumofaprimaryidealandaz-ideal(z~o-ideal)inC(X)whicharenotinachainisaprimez-ideal(z~o-ideal).Wealsoshowthateverydecomposablez-ideal(z~o-ideal)inC(X)istheintersectionofafinitenumberofprimez-ideals(z~o-ideal).Somecounter-examplesingeneralringsandsomecharacterizationsforthelargest(smallest)z-idealandz~o-idealcontainedin(containing)anidealaregiven.