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: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.
简介:摘要“Z+Z”的智能化程度更高。可以制作数学动画,展示数学知识发生与发展的过程,并在运动变化中呈现数学之美,使学习成为趣味盎然的富有吸引力的活动。可以化静为动、化抽象为形象,弥补了传统教学方式在直观感、立体感和动态感等方面的不足,为教师化解教学难点、突破教学重点、提高课堂效率提供了一种现代化的教学手段。