广义复合隐迭代格式逼近非扩张映像公共不动点

提出并使用如下广义复合隐迭代格式逼近非扩张映像族{Ti}Ni=1公共不动点:{xn=αnxn-1 (1-αn)Tnyn,yn=rnxn snxn-1 tnTnxn wnTnxn-1,rn sn tn wn=1,{αn},{rn},{sn},{tn},{wn}∈[0,1],这里Tn=TnmodN.该文提出的广义复合隐迭代格式包含了目前多种迭代格式,因此,所得强弱收敛定理推广及发展了Mann,Ishikawa,XuandOri,等许多作者的结果.     

Synthesis,characterization, and micellization of an epoxy‐based amphiphilic diblock copolymer of ϵ‐caprolactone and glycidyl methacrylate by enzymatic ring‐opening polymerization and atom transfer radical polymerization

Amphiphilic diblock copolymer polycaprolactone‐block‐poly(glycidyl methacrylate) (PCL‐b‐PGMA) was synthesized via enzymatic ring‐opening polymerization (eROP) and atom transfer radical polymerization (ATRP). Methanol first initiated eROP of ?‐caprolactone (?‐CL) in the presence of biocatalyst Novozyme‐435 under anhydrous conditions. The resulting monohydroxyl‐terminated polycaprolactone (PCL–OH) was subsequently converted to a bromine‐ended macroinitiator (PCL–Br) for ATRP by esterification with α‐bromopropionyl bromide. PCL‐b‐PGMA diblock copolymers were synthesized in a subsequent ATRP of glycidyl methacrylate (GMA). A kinetic analysis of ATRP indicated a living/controlled radical process. The macromolecular structures were characterized for PCL–OH, PCL–Br, and the block copolymers by means of nuclear magnetic resonance, gel permeation chromatography, and infrared spectroscopy. Differential scanning calorimetry and wide‐angle X‐ray diffraction analyses indicated that the copolymer composition (?‐CL/GMA) had a great influence on the thermal properties. The well‐defined, amphiphilic diblock copolymer PCL‐b‐PGMA self‐assembled into nanoscale micelles in aqueous solutions, as investigated by dynamic light scattering and transmission electron microscopy. © 2007 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 45: 5037–5049, 2007     

教师课堂教学质量的多元统计分析

应用多元统计分析中的聚类分析法和主成分分析法对教师高等数学的课堂教学质量进行了统计分析,通过对数据的聚类分析结果提出教师应注重启发性教学并善于引导学生解决实际问题.同时利用主成分分析将原先众多的评价指标用三个指标代替,为进一步提高教学质量提供科学的依据.     

影响产生均匀等离子体状态的几个因素

 用数值模拟方法研究利用辐射加热来产生均匀等离子体状态,它可被用来测量元素的辐射不透明度,校验辐射不透明度理论。研究了在辐射加热铁的“三明治”型靶时影响生成均匀等离子体状态的几个重要因素（样品厚度、CH膜厚度和辐射源）所起的作用，研究发现，当铁等离子体通过热传导达到均匀状态时，其尺度必须与此时的传热距离相当，从而定出铁样品的厚度；低Z介质CH膜对铁等离子体有明显的箍束作用，调整CH膜的厚度可以调节所产生的等离子体状态；调整不同方向上的CH膜厚度，可以控制铁等离子体的膨胀方向，使它尽可能地达到一维膨胀，使得反推出的等离子体密度可以更加准确；样品的种类、厚度以及外面的低Z介质厚度决定了在某时刻能获得的等离子体状态，以及为产生此等离子体状态所需的最低辐射能。     

关于Landau不等式

本文给出Landau不等式的一种改进。     

Modulation of Spin Distribution and Spin Transport by a Magnetic Field in a Quasi-One-Dimensional System with Spin--Orbit Coupling

The distributions of spin and currents modulated by magnetic field in a transverse parabolic confined two-dimensional electronic system with a Rashba spin--orbit coupling have been studied numerically. It is shown that the spin accumulation and the spin related current are generated by magnetic field if the spin--orbit coupling is presented. The distributions of charge and spin currents are antisymmetrical along the cross-section of confined system. A transversely applied electric field does not influence the characteristic behaviour of charge- and spin-dependent properties.     

RBaCo_2O_(5 δ)(Pr,Sm,Y)体系的滞弹性内耗研究

本文对双钙钛矿结构RBaCo2O5 δ(Pr,Sm,Y)化合物进行了内耗研究。随稀土元素R的不同该材料体系存在着不同的晶体结构,并导致了氧缺陷不同的驰豫行为。体系内耗谱图中呈现的一个驰豫型内耗峰被认为是由于[ROδ]层中额外氧的运动引起的。SmBaCo2O5 δ体系中在360 K附近还观察到一个相变型内耗峰,它伴随有模量的变化。     

Ce3+-冠醚配合物的紫外有机电致发光

采用5d-4f跃迁的稀土Ce³⁺-冠醚配合物(Ce-二环己基并-18-冠-6,Ce-DC18C6)作为发光掺杂剂,4,4'-二(9-咔唑基)联苯(CBP)为基质,设计制备了紫外发光器件:ITO/CuPc/Ce-DC18C6:CBP/Bu-PBD/LiF/Al,首次观测到峰位于376nm的Ce³⁺离子的紫外电致发光。通过对比器件的EL谱与Ce³⁺-冠醚配合物薄膜的PL谱发现,EL光谱中有部分来自Ce³⁺配合物中的Ce³⁺离子的。这种5d-4f电子跃迁的掺杂质量分数为3%时,该UV-发光器件的最大辐射功率为13μW/cm²。     

简并光学参量振荡器混沌反控制

提出一种实现简并光学参量振荡器混沌反控制的方法，用正弦信号调制简并光学参量振荡器的基模衰减率，使简并光学参量振荡器从定态输出转化为混沌态.数值模拟结果表明，选择不同的调制幅度和调制角频率，只要满足系统的最大李雅谱诺夫指数大于零，即可实现不同的混沌轨道重构.通过比较最大李雅谱诺夫指数λ_max随调制幅度和调制角频率变化曲线， 指出系统从周期态调制到混沌态比从无亚谐波输出的定态调制到混沌态更容易，有更宽的调制幅度和调制角频率选择范围. 关键词： 简并光学参量振荡器 混沌反控制 调制