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404 个结果
  • 简介:TheauthorsmainlyconcernthesetUfofc∈Csuchthatthepowerdeformationzf(z)/zcisunivalentintheunitdisk|z|<1foragivenanalyticunivalentfunctionf(z)=z+a2z2+···intheunitdisk.ItisshownthatUfisacompact,polynomiallyconvexsubsetofthecomplexplaneCunlessfistheidentityfunction.Inparticular,theinteriorofUfissimplyconnected.Thisfactenablesustoapplyvariousversionsoftheλ-lemmafortheholomorphicfamilyzf(z)/zcofinjectionsparametrizedovertheinteriorofUf.ThenecessaryorsufficientconditionsforUftocontain0or1asaninteriorpointarealsogiven.

  • 标签: 动力变形 单叶函数 单位圆 凸子集 多项式 复平面
  • 简介:Quasiclassicaltrajectorycalculation(QCT)isusedfrequentlyforstudyingcollisionalenergytransferbetweenhighlyvibrationallyexcitedmoleculesandbathgases.Inthispaper,theQCToftheenergytransferbetweenhighlyvibrationallyexcitedC6F6andN2,O2andgroundstateC6F6wereperformed.TheresultsindicatethathighlyvibrationallyexcitedC6F6transferredvibrationalenergytovibrationaldistributionofN2,O2andgroundstateC6F6,sotheyareV-Venergytransfer.EspeciallyitismainlyV-VresonanceenergytransferbetweenexcitedC6F6andgroundstateC6F6,excitedC6F6transfersmorevibrationalenergytogroundstateC6F6thantoN2andO2.ThevaluesofQCT,-〈△Evib〉ofexcitedC6F6aresmallerthanthoseofexperiments.

  • 标签: 准经典轨道计算 碰撞能转换 C6F6 N2 O2 氟苯
  • 简介:InthispaperweestablishsharpH¨olderestimatesofharmonicfunctionsonaclassofconnectedpostcriticallyfinite(p.c.f.)self-similarsets,andshowthatfunctionsinthedomainofLaplacianenjoythesameproperty.Somewell-knownexamples,suchastheSierpinskigasket,theunitinterval,thelevel3Sierpinskigasket,thehexagasket,the3-dimensionalSierpinskigasket,andtheVicseksetarealsoconsidered.

  • 标签: 自相似集 调和函数 SIERPINSKI垫片 估算 基金 拉普拉斯
  • 简介:采用密度泛函B3LYP/6-311G(d,p)方法对CH3FC2H3的反应体系进行了理论研究,获得了反应的势能面信息及可能的微观机理.在QCISD(T)/6-311++G(d,p)水平上精确计算了各反应物种的单点能.结果表明,除抽提氢反应外,标题反应还存在抽提氟(R1)、消氟化氢(R2)、消氢(R3)和自由基形成(R4)四类反应.在QCISD(T)/6-311++G(d,p)//B3LYP/6-311G(d,p)水平上,R1,R2,R3和R4反应的能垒分别是163.9,152.2,209.8和224.2kJ·mol-1,相应反应能为-56.6,-164.3,-2.7和-156.0kJ·mol-1,所有反应均放热,为热力学允许的反应.

  • 标签: CH3F C2H3 反应机理 过渡态 消氟化氢反应
  • 简介:本文讨论,f(f^(k))^n的值分布的定量估计并改进了C.K.Tsc与C.C.Yang的一个结果。

  • 标签: 值分布 定量估计 改进
  • 简介:TheauthorconsiderstheFeigenbaum'sfunctionalequationf^P(λx)=λf(x)foreachp≥2.TheexistenceofevenunimodalC^1solutionstothisequationisdiscussedandafeasiblemethodtoconstructsuchsolutionsisgiven.

  • 标签: 功能方程 连续单峰解 偶数单峰解 交叉迭代
  • 简介:§1.IntroductionLetEbeanon-zerocomplexBanaohspace,&(JET)theBanaohalgebraofalltheoperatorsfromEintoitself.Operatormeans'boundedlinearoperator'throughout.Anoperatorfunction/fromadomain(openset)Dinthecomplexplaneto@l(T£}issaidtobeanalytic,ifforanyx^Eandq>£E*(thedualspaceofE\9>(/(z)aOisanalyticintheclassical’senseinD([1],p.92).Wedenotebyja/B(D)thesetofalltheanalyticoperatorfunctionsfromDinto

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  • 简介:不用说,接受这份殊荣,我十分荣幸。除了为多年来关心物理教育的各种问题而感到乐趣之外,我特别高兴在10年前就致力于AAPT的各种活动。它让我了解在座的许多人的工作,使我谦虚,很清楚,你们中间许多人都有可能象我今天这样站在领奖台上。

  • 标签: 主动学习 物理教育 AAPT 教学理念 课程设计 高中
  • 简介:Weexperimentallydemonstratea16×16reconfigurablynonblockingopticalswitchfabricusingaBenesarchitecture.Theswitchfabricconsistsof562×2Mach–Zehnderinterferometerbasedelementaryswitches,witheachintegratedwithapairofwaveguidemicroheaters.Theaverageon-chipinsertionlossis~5.2dBforbothofthe'all-cross'andthe'all-bar'states,withalossvariationof1dBoverallroutingpaths.Thecrosstalkforallswitchingstatesisbetterthan-30dB.Theswitchingtimeoftheswitchelementisabout22μs.Theswitchingfunctionalityisverifiedbytransmissionofa40Gb∕squadraturephase-shiftkeyingopticalsignal.

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  • 简介:BMO空间中_N的范数比较刘为铨(安徽芜湖师专)设(x)为定义于R上的局部可积函数,Q为R中的任一立方体。|Q|为Q的Lebeseue测度,(X)在Q上的平均值记作若(X)满足条件则称人工)为有界平均振动函数,一切有界平均振动函数所构成的?..

  • 标签: BMO FUNCTION BMO space NORM
  • 简介:Ultrafastfiberlasersareingreatdemandforvariousapplications,suchasopticalcommunication,spectroscopy,biomedicaldiagnosis,andindustrialfabrication.Here,wereportthehighlystablefemtosecondpulsegenerationfromaMXenemode-lockedfiberlaser.Wehavepreparedthehigh-qualityTi3C2Txnanosheetsviatheetchingmethod,andcharacterizedtheirultrafastdynamicsandbroadbandnonlinearopticalresponses.Theobviousintensity-andwavelength-dependentnonlinearresponseshavebeenobservedandinvestigated.Inaddition,ahighlystablefemtosecondfiberlaserwithsignal-to-noiseratioupto70.7dBandcentralwavelengthof1567.3nmhasbeendelivered.Thestudymayprovidesomevaluabledesignguidelinesforthedevelopmentofultrafast,broadbandnonlinearopticalmodulators,andopennewavenuestowardadvancedphotonicdevicesbasedonMXenes.

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  • 简介:Thereisagrowingsupportforthelowlyingscalarmesonsf0(500),f0(980),a0(980),and(800)tobegenerateddynamicallyfromtheinteractionofpseudoscalarmesons,whilethecaseofthenextsetofscalarresonancesathigherenergies,f0(1370),f0(1710),K0(1430)ismoreaquestionofdebate.Soisthecaseofthetensorresonancesf2(1270),f′2(1525),K2(1430).AnewperspectiveonthesestateshasbeenofferedinRef.[1]wherethef0(1370)andf2(1270)resonancesareshowntobegeneratedfromtheinteractionprovidedbythelocalhiddengaugeLagrangiansimplementingunitarization.Itisshownthattheideaofthenatureofthesestatesasvectormeson-vectormesoncompositestateshasbeentestedinmanyreactions.Yet,thepermanentdiscussionoftheissuedemandsextrachecksforotherobservablesand,inthissense,theweakdecaysbringanewsourceofvaluableinformationthatshouldservetotestdifferentmodels.

  • 标签: J/Ψ source case SENSE NEXT IDEA
  • 简介:得到如下结果:设f(z)为非常数亚纯函数,ff^(k)以1为CM公共值,如果N^-(r,f)+N^-(r,1/f^(k))<λT(r,f),k=1,0<λ<1/6;或3N^-(r,f)+N^-(r,1/f^k)<λT(r,f),k≥2,0<λ<1/3;或N^-(r,1/f)+3N^-(r,1/f^(k))<λT(r,f),k≥3,0<λ<1/6,则f^(k)-1/(f-1)≡C,其中C为某一非零常数。

  • 标签: CM公共值 亚纯函数 常数
  • 简介:ThepresolarSiCgrains[1]carrytheoriginalstellarnucleosynthesissignature.Theirisotopicanomaliescomparedtothesunarethestrongconstrainsinthesupernovae(SN)modelcalculations.The15N-excessinsomeSiC-ABgrains(12C/13C<10and14N/15N<272)isoneofthechallengesofcore-collapsesupernovae(CCSNe)models[2].Recently,PignataripointedoutthattheentrainmentofH-richmaterialintotheHeshellbeforetheSNexplosionallowsthecoproductionof13C,15Nand26Al,whichprovidesanewproductionscenarioforSiC-ABgrains[2].IntheHeshellnucleosynthesis,the13Cisproducedthrough12C(p,γ)13N(β+γ)13Creaction.The14Nissynthesizedthrough13N(n,γ)and13C(p,γ)reactions.

  • 标签: EXPERIMENTAL STRONG SIC SUN 15N He
  • 简介:Anovelsupportedliquidphasefilmcatalyst:SupportedPdCl2-(n-C4H9)4N+Cl-moltensaltswasfoundtobeaneffectivecatalystwithgoodstabilityforselectivehydrodechlorinationofCCl2F2(CFC-12)toitsalternativesCH2F2andCHClF2.AdditionofCoCl2,GaCl3andCuCl2toPdCl2-(n-C4H9)4N+Cl-modifiesthecatalyticperformanceofsupportedmoltensalts.

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