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322 个结果
  • 简介:Aclassofmetric,compact,andtotallydisconnectedspaces,calledself-similarCantorsetsisintroduced.Aself-similarstructureisdefinedtobeagraphwithweightededges.Theintroductionofultrametricsandquasi-isometriesgivesversatilitytothisconstruction.Thermodynamicalfunctionsasfreeenergyandentropyareassociatedwithself-similarstructures.Multifractalanalysis,basedona“LargeDeviations”inequalityandGibbsmeasures,leadstoafairlygeneralHausdorffdimensiontheorem.

  • 标签: 康托集 图论 维度 理论力学 吉布斯测度
  • 简介:Wehavedesignedandrealizedanathermal4-channelwavelength(de-)multiplexerinsiliconnitride(SIN).Minimizedthermalsensitivityisachievedinawidewavelengthrangebyusingwideandnarrowwaveguideswithlowanddifferentthermal-opticcoefficientsinthetwoarmsofMach-Zehnderinterferometers(MZIs).TheSiNcorelayerandSiO2claddinglayersaredepositedbyalow-temperatureplasma-enhancedchemicalvapordep-ositionprocess.ThefabricatedMZIfilterexhibitsathermalsensitivitywithin4-2.0pm/℃inawavelengthrangeof55nmtonear1300nm.Then,anathermal(de-)multiplexerbasedoncascadedMZIshasbeendemonstratedwithacrosstalk〈-22dBandathermalsensitivity〈4.8pm/℃forallfourchannels,reducedby77%comparedtoaconventionalSiN(de-)multiplexer.OwingtothepassiveoperationandcompatibilitywiththeCMOSback-endprocess,ourdeviceshavepotentialapplicationsin3Dintegrationofphotonicsandelectronics.

  • 标签: 氮化硅 通信技术 发展现状 材料学
  • 简介:TheEinstein'sgeneralrelativityisformulatedintheHamiltonianformforaspatiallyflat,isotropicandhomogeneousuniverse.Subsequently,weperformthecanonicalquantizationproceduretotheHamiltoniantoobtaintheWheeler–DeWittequation.SolvingtheWheeler–DeWittequationandemployingthedeBroglie–Bohminterpretationtothewavefunctionoftheuniverse,weobtainanewversionofspatiallyflatFriedmannequationfortheearlyuniversewherethescalefactoroftheuniverseistakentobesufcientlysmall.

  • 标签: 量子宇宙学 德布罗意 早期阶段 玻姆 哈密顿形式 正则
  • 简介:我们称一个定义在Banach空间E上的连续凸函数f具有Frechet可微性质(FDP),如果E上的每个实值凸函数g≤f均在E的一个稠密的Gδ-子集上Frechet可微.本文主要证明了:对任何Banach空间E,均存在一个局部凸的相容拓扑p使得1)(E,p)是Hausdorff局部凸空间;2)E上的每个范数连续具有FDP的凸函数均是p-连续的;3)每个p-连续的凸函数均具有FDP;4)p等价某个范数拓扑当且仅当E是Asplund空间.

  • 标签: Frechet可微性 BANACH空间 局部凸空间 凸函数 范数 P-连续
  • 简介:BythesymboliccomputationandHirotamethod,thebilinearformandanauto-Bcklundtransformationforavariable-coefficientKorteweg-deVriesequationwithnonuniformitiesaregiven.Then,theN-solitonicsolutionintermsofWronskianformisobtainedandverified.Inaddition,itisshownthatthe(N-1)-andN-solitonicsolutionssatisfytheauto-BcklundtransformationthroughtheWronskiantechnique.

  • 标签: KDV方程 变量系数 双线性转换 孤立解
  • 简介:V447.32002032386提高CCD相机视觉定位准确度的算法研究=MethodtoimprovetheCCDcamera’sresolutionforapplicationinhighaccuracylocating[刊,中]/衣法臻,胡恒章,何平(哈尔滨工业大学控制学与工程系.黑龙江,哈尔滨(150001))//宇航计测技术.-2001,21(5).-57-62提出了一种提高利用CCD相机进行视觉定位的准确度的方法,对该方法的误差情况进行了分析,提出了减小误差影响的策略。对一个实例进行了研究,证明该方法可以极大地提高CCD相机的测量准确度。图5参

  • 标签: 定位准确度 算法研究 视觉定位 相机 测量准确度 哈尔滨
  • 简介:560,杂志编辑。神秘系mania患者,视觉严重中毒。当地球转圈到560度时,日月会改变位置;当一个人转圈到560度时,会迷失方向;当560转圈到560度时,正当恰到好处,成为560度空间。在这个奇异的空间里,她假扮天使,卖弄神秘,天天做神秘的打扮与游戏。

  • 标签: 560度空间 神秘感 幻想
  • 简介:本文给出并证明了若干个子空间的并以及两个子空间的基构成子空间的充要条件,从而本质地揭示了除子空间的交与和是构造新的予空间的方法外,集合的其它运算不能构造新的子空间,最后分析了子空间直和的两种不同定义的优缺点,指出了张禾瑞教材中子空间直和定义推广时应注意的一个问题。

  • 标签: 子空间 空间构造 线性空间 直和 三维几何空间
  • 简介:本文旨在给出Banach空间值Hardy—Lorentz鞅空间的共轭空间的完全刻画.首先,对B值鞅引入了一类新的广义Lipschitz鞅空间及“原子鞅”的概念;其次,对B值Hardy-Lorentz鞅空间建立了“原子鞅”的分解定理;最后,以此为工具证明了其共轭空间是广义Lipschitz鞅空间.所得结论将已有的相应结果由实值鞅推广到Banach空间值鞅的情况.

  • 标签: BANACH空间值鞅 Hardy-Lorentz空间 原子分解 共轭空间
  • 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.

  • 标签: Z-空间 有界线性算子 对偶空间定理
  • 简介:TheeffectsofSO2,SO3ondenovosynthesisofpolychlorinateddibenzo-p-dioxins(PCDDs)anddibenzofurans(PCDFs)werestudiedusingmodelflyashesincorporatingcopperoxideandactivatedcarbon.ItwasfoundthattheinhibitiveeffectofSO2onPCDD/FsformationissimilartothatofSO3.Toinvestigatetheinhibitionmechanism,CuSO4formationsfrombothCuOandCuCl2wereexamined.TheabilityofSO3toconvertCuCl2andCuOonasilicasupportintosulfateismuchstrongerthanthatofSO2.However,replacingsilicabyactivatedcarbonleadstoamuchhighconversionofCuCl2toCuSO4inthepresenceofSO2.ThepromotionbyactivatedcarbonisexplainedbythereductionofCuCl2toCu2Cl2andtheeventualconversionofCu2Cl2intoCuSO4isthemaininhibitionmechanismofSO2ondenovosynthesisofPCDD/Fs.

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  • 简介:术文讨论了加权Bergman空间到Zygmund空间(小Zygmund空间)的广义复合算子Cφ^h的有界性和紧性特征,得到了以下约结果:(1)Cφ^h是加权Rergman空间到Zygmund空间的有界算子和紧算子的充要条件;(2)Cφ^h是加权Bergman空间到小Zygmund空间的有界算子和紧算子的充要条件.

  • 标签: 加权BERGMAN空间 ZYGMUND空间 小Zygmund空间 广义复合算子
  • 简介:Photonics-basedradarwithaphotonicde-chirpreceiverhastheadvantagesofbroadbandoperationandreal-timesignalprocessing,butitsuffersfrominterferencefromimagefrequenciesandotherundesiredfrequency-mixingcomponents,duetosingle-channelreal-valuedphotonicfrequencymixing.Inthispaper,weproposeaphotonicsbasedradarwithaphotonicfrequency-doublingtransmitterandabalancedin-phaseandquadrature(I/Q)de-chirpreceiver.Thisradartransmitsbroadbandlinearlyfrequency-modulatedsignalsgeneratedbyphotonicfrequencydoublingandperformsI/Qde-chirpingoftheradarechoesbasedonabalancedphotonicI/Qfrequencymixer,whichisrealizedbyapplyinga90°opticalhybridfollowedbybalancedphotodetectors.Theproposedradarhasahighrangeresolutionbecauseofthelargeoperationbandwidthandachievesinterference-freedetectionbysuppressingtheimagefrequenciesandotherundesiredfrequency-mixingcomponents.Intheexperiment,aphotonics-basedK-bandradarwithabandwidthof8GHzisdemonstrated.ThebalancedI/Qde-chirpingreceiverachievesanimage-rejectionratioofover30dBandsuccessfullyeliminatestheinterferenceduetothebasebandenvelopeandthefrequencymixingbetweenradarechoesofdifferenttargets.Inaddition,thedesireddechirpedsignalpowerisalsoenhancedwithbalanceddetection.Basedontheestablishedphotonics-basedradar,inversesyntheticapertureradarimagingisalsoimplemented,throughwhichtheadvantagesoftheproposedradarareverified.

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  • 简介:Inthispaper,eighttypesof(1-+1)-dimensionalsimilarityreductionswhichcontainvariablecoefficientequation,areobtainedforthegeneralizedKdVequationin(2+1)-dimensionalspacearisingfromthemultidimensionalisospectralflowsassociatedwiththesecond-orderscalaroperatorsbyusingthedirectmethod.Inaddition,thecnoidalwavesolutionanddromion-likesolutionarealsoderivedbyusingthereducednonlinearordinarydifferentialequations.The(1+1)dromionobtainedbyLou[J.Phys.A28(1995)7227]andZhang[Chin.Phys.9(2000)1]isonlyaspecialcaseofourresults.Moreover,somepropertiesofthedromion-likesolutionsareanalyzed.``

  • 标签: GENERALIZED KDV equation similarity reduction Painlevé-I equation Painlevé-II equation cnoidal