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’||z)≡znp(1/z)HereweobtainaninequalityanalogoustoBernstein’sinequalityforasubclassofIInOurresultsincludeseveraloftheknownresultsasspecialcases.

简介：最值问题是一种常见题型，解法灵活，综合性强．其中不等式法不失为一种好而有效的方法，经常使用，但务必注意相应的等号成立的条件，也就是能否取得最大值或最小值．以下仅就一个最值题的解法及其“更正”谈一点浅见．一、数学通报９７．２《数学问题解答》栏中所刊１０...

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：ThispapersolvesanopenproblemofVaserstein.Themainresultis:theequationx^m+y^m=z^mhasasolutioninSL2zifandonlyifmisnotdivisibleby4or6andmisnotcongruentto3modulo6.

简介：Inthispaper,firstwepresentacharacterizationofsemiconvergencefornonnegativesplittingsofasingularZ-mattix,whichgeneralizesthecorrespondingresultof.Second,acharacterizationofconvergenceforL1-regularsplittingsofasingularE-matrixisgiven,whichim-provetheresuhof[3].Third,convergenceofweaknonnegativesplittingsandregularsplittingsisdiscussed,andweobtainsomenecessaryandsufficientconditionssuchthatthesplittingsofaZ-matrixconverge,

简介：如果X是一条弧或一个圆，那么，X上没有广泛的同胚，是众所周知的。在我们证明那的这篇论文，X上没有广泛的Z~d行动，它回答以前我们提出的二个问题。在1979，鬃毛证明在无限的维的空格没有广泛的同胚。与这结果相反，我们在一个无限的维的空格构造广泛的Z~2action。我们也在Z~2在零个维的空格而是没有元素构造一个广泛的Z~2行动是广泛的。

简介：MakinguseoftheZ2×Z2symmetry,wecouldstudythestructurenearmultipleS-treakingturningpoints.Inparticular,weshowthatthereexisttwokindsofsingularpointpaththroughdoubleSbreakingturningpointsandtripleSbieakingturningpoints,onetsquadraticturningporntpathandoneisquadraticpitchforkbifurcationpointpath.SomesimpleregularextendedsystemstocornputedoubleandtripleS-breakingturningpointsareproposed.Numericalexamplesarealsogreen

简介：ＡＮＩＮＴＥＲＳＥＣＴＩＯＮＰＲＯＰＥＲＴＹＯＦＴＨＥＳＩＭＰＬＥＲＡＮＤＯＭＷＡＬＫＳＩＮＺ￣ｄＺＨＯＵＸＩＡＮＹＩＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ１００８７５，Ｃｈｉｎａ）Ａｂｓｔ...

简介：AsubgroupHofagroupGiscalledF-z-supplementedinGifthereexistsasubgroupKofG,suchthatG=HKandH∩K≤Z∞F(G),whereZ∞F(G)istheF-hypercenterofG.WeobtainsomeresultsabouttheF-z-supplementedsubgroupsandusethemtodeterminethestructureofsomegroups.

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简介：让Z/(p[e])是整数残余戒指模p[e]与p一个奇怪的素数；整数e≥3。为在Z/上的一个序列(p[e])，在各个能在Z/(p)上被认为是一个序列的地方，有唯一的p-adic分解，0≤i≤e1。让f(x)是在Z/上的一个原始多项式(p[e])；G′(f(x)，p[e])所有原始序列的集合在Z/上由f(x)产生了(p[e])。为μ(x)∈Z/(p)[x]与deg(μ(x))≥2；ged(1+deg(μ(x))，p1)=1，设定

简介：TheZ-backlighterlaserfacilityprimarilyconsistsoftwohighenergy,high-powerlasersystems.Z-Beamletlaser(ZBL)(Ramboetal.,Appl.Opt.44,2421(2005))isamulti-kJ-class,nanosecondlaseroperatingat1054nmwhichisfrequencydoubledto527nminordertoprovidex-raybacklightingofhighenergydensityeventsontheZ-machine.Z-Petawatt(ZPW)(Schwarzetal.,J.Phys.:Conf.Ser.112,032020(2008))isapetawatt-classsystemoperatingat1054nmdeliveringupto500Jin500fsforbacklightingandvariousshort-pulselaserexperiments(seealsoFigure10forafacilityoverview).Withthedevelopmentofthemagnetizedlinerinertialfusion(MagLIF)conceptontheZ-machine,theprimarybacklightingmissionsofZBLandZPWhavebeenadjustedaccordingly.Asaresult,wehavefocusedourrecenteffortsonincreasingtheoutputenergyofZBLfrom2to4kJat527nmbymodifyingthefiberfrontendtonowincludeextrabandwidth(forstimulatedBrillouinscatteringsuppression).TheMagLIFconceptrequiresawell-defined/behavedbeamforinteractionwiththepressurizedfuel.HencewehavemadegreateffortstoimplementanadaptiveopticssystemonZBLandhaveexploredtheuseofphaseplates.WearealsoexploringconceptstouseZPWasabacklighterforZBLdrivenMagLIFexperiments.Alternatively,ZPWcouldbeusedasanadditionalfusionfuelpre-heaterorasatemporallyflexiblehighenergypre-pulse.AlloftheseconceptsrequiretheabilitytooperatetheZPWinananosecondlong-pulsemode,inwhichthebeamcanco-propagatewithZBL.Someoftheproposedmodificationsarecompleteandmostofthemarewellontheirway.

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简介：Anovelclassoffulgimide,(Z)-4-oxazolylfulgimide((Z)-1-benzyl-4-isopropylidene-3-[1-(2-aryl-5-methyloxazolyl)ethylidene]tetrahydropyrrole-2,5-dione),wassynthesizedbythereactionof(Z)-4-oxazolylfulgide(4-isopropylidene-3-[1-(2-aryl-5-methyloxazolyl)ethylidene]tetrahydrofuran-2,5-dione)withbenzylamine.Photochromicpropertyof(Z)-4-oxazolylfulgimidewasstudied.Comparedwith(Z)-4-oxazolylfulgide,theabsorptionmaximumofthecoloredformof(Z)-4-oxazolylfulgimideisbathochromic-shifted.Substituentsonthearylringaffecttheabsorptionmaximumoftheopenformandthecoloredformof(Z)-4-oxazolylfulgimide.

简介：AdynamicalLangevinmodelisemployedtoevaluatetheexcessoftheneutronemissioninthefissionofheavynuclei~(240)Cf,~(246)Cf,~(254)Cf,~(240)Urelativetothestandardstatistical-modelpredictionatvarioussaddle-to-scissionfrictionstrengths.Itisshownthatwhentheneutron-to-protonratioN/Zofthesystemincreases,thesensitivityoftheexcesstothefrictiondecreasessubstantially,anditalmostdisappearsfor~(240)U.WesuggestthatusingthosecompoundsystemswithlowN/Zfavorsanaccuratedeterminationforthesaddle-to-scissionfrictionstrengthbasedonthemeasurementofthepre-scissionneutronmultiplicity.

简介：本文以自然的方式定义了从Z-空间X到Z-空间Y的有界线性算子的和以及它们的敷乘，从而得到了与赋范空间的对偶空间理论类似的一系列结论．