矩生成函数与广义Feller算子

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如何理解argz

学习一个重要的数学概念,一要把握基本,二要横向联系,三要纵向深化,四能运用自如,即所谓“学懂、学通、学深、学透”．argz是复数的一个重点,也是一个难点,本文拟对其进行多层面剖析,以期对同学们的学习有所帮助．     

公交车高峰和平峰转换的调度研究

旨在对城市公共交通系统建立合理的数学模型,对公交车的调度进行合理规划,为城市建设提供借鉴作用.从深圳市的实际情况出发,建立了合理的公交运营调度模型,让公交的使用经济最大化、合理化.通过对大数据的合理分析,给出高峰和平峰的定义;通过对公交车的发车频率、运营所得的总收入与时间的关系的分析,给出高峰和平峰转换期的调度方案;借...     

Predicting Quantum Many-Body Dynamics with Transferable Neural Networks

Advanced machine learning(ML)approaches such as transfer learning have seldom been applied to approximate quantum many-body systems.Here we demonstrate that a simple recurrent unit(SRU)based efficient and transferable sequence learning framework is capable of learning and accurately predicting the time evolution of the one-dimensional(ID)Ising model with simultaneous transverse and parallel magnetic fields,as quantitatively corroborated by relative entropy measurements between the predicted and exact state distributions.At a cost of constant computational complexity,a larger many-body state evolution is predicted in an autoregressive way from just one initial state,without any guidance or knowledge of any Hamiltonian.Our work paves the way for future applications of advanced ML methods in quantum many-body dynamics with knowledge only from a smaller system.     

胶体法制备Mn2+掺杂Ⅱ-Ⅵ族稀磁性半导体纳米晶体材料的研究进展

近年来兴起的稀磁性半导体纳米晶体(DMSNC)是一种新型的半导体材料,由于其优异的光电磁性能得到了国内外研究人员的重视,并取得了快速发展,有望在多个领域得到应用。本文对以胶体法制备的Mn2 掺杂的ZnS、ZnSe、CdS、CdSe等为代表的Ⅱ-Ⅵ族DMSNC的主要研究进展和掺杂原理进行了综述,指出了现阶段所存在的问题,并对其未来发展进行了展望。     

Rapid Thermal Annealing Effects on Structural and Optical Properties of Self-Assembled InAs／GaAs Quantum Dots Capped by InAIAs／InGaAs Layers

Effects of rapid thermal annealing on the optical and structural properties of self-assembled InAs/GaAs quantum dots capped by the InAlAs/InGaAs combination layers are studied by photoluminescence and transmission electron microscopy. The photoluminescence measurement shows that the photoluminescence peak of the sample after 850℃ rapid thermal annealing is blue shifted with 370meV and the excitation peak intensity increases by a factor of about 2.7 after the rapid thermal annealing, which indicates that the InAs quantum dots have experienced an abnormal transformation during the annealing. The transmission electron microscopy shows that the quantum dots disappear and a new InAlGaAs single quantum well structure forms after the rapid thermal annealing treatment. The transformation mechanism is discussed. These abnormal optical properties are attributed to the structural transformation of these quantum dots into a single quantum well.     

基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质

基于综合害虫管理策略(IPM),对具有脉冲效应的一般功能反应的两种群捕食与被捕食模型进行了分析.通过利用脉冲微分方程的Floquet理论和比较原理,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐近稳定的害虫根除周期解.     

全取代茂基钌化合物的合成、反应及晶体结构

本文报道了含乙基四甲基环戊二烯基钌化合物的合成、反应及晶体结构测定。由乙基四甲基环戊二烯与RuCl_3·xH_2O反应得到了含五元环及氯原子配体的二聚体2,2与不同比例的三甲基膦反应可分别得到含一个及二个三甲基膦的分子3和4。晶体结构分析表明钌原子在这三个分子中均取“三腿钢琴凳”式配位形式,3,4中的Ru—Cl键较弱,易于发生取代反应而生成其它衍生物。     

固体碳的一种新形态——富勒烯

一富勒烯(Fullerene)的发现人类对碳元素的研究和应用亘古至今,源远流长。人们熟知碳有两种同素异形体——石墨和金刚石。直到80年代中期,发现了富勒烯碳原子簇,尤其是近年来,对富勒烯的结构、性质深入广泛地研究,确认碳元素还存在着第三种晶体形态,已是顺理成章了。碳原子簇的研究始于天体物理学家对宇宙尘埃形成的兴趣,为了模拟星际空间及恒星附近碳原子簇的形成过程,早在1942年O Hahn等用质谱法证实了原子簇C_n(n<15)的存在。1984年Rohlfing等用质谱仪研究在超声氦气流中以激光蒸发石墨所得产物时,发现碳可以形成n<200的C_n原子簇。当n>40时,簇中碳原子教仅为偶数,并且还发现C_(60)的质谱峰明显高     

Birefringence Grating and Surface Grating in Azobenzene Polymer Liquid Crystal Films Investigated by Near—Field Optical method

The birefringence grating and the surface grating in azobenzene polymer liquid-crystal (Azo-PLC) films are studied by a near-fied scanning optical microscope.With laser irradiation,the refractive index change caused by birefringence and the sinusoidal surface profile are observed at the near-field transmittance image and the surface topography of the grating.The grating period and the peak-to-peak value of the sinusoidal surface profile are 0.8μm and 40nm,respectively.The maximum diffractive efficiency of the grating is 2% .The dynamic process of the grating formation is probed and analysed.The mass diffusion responsible for the formation of the surface grating due to the temperature rise is analysed.