关于Orlicz空间的-乘积问题

§1 引言与反例 王声望教授在中详细讨论了两个Orlicz空间的⊙-乘积问题。他在该文最后写道,对于-乘积问题“本文§1到§3的全部结论都是正确的,甚至在定理的叙述与证明的方法上都基本相同。”文§1的四个定理已总结在吴从炘,王廷辅的最新专著第三章§3.2中。我们将这四个定理逐一移植到-乘积问题时,发现只有前三个定理是可以按的说明移植的,即以下三个命题正确:     

金属纳米颗粒的热导率

本文使用统计模拟方法对金属纳米颗粒的电子平均自由程进行了计算,并考察了纳米颗粒的晶格比热和声子平均群速度,最后应用动力学理论对纳米颗粒的电子热导率和声子热导率分别进行了求解.研究结果表明:具有相同特征尺寸的方形、球形纳米颗粒的无量纲电子(或声子)平均自由程比较接近.金属纳米颗粒的电子热导率远大于声子热导率;电子、声子热导率随着直径减小呈现降低趋势,而电子热导率的颗粒尺度依赖性比声子热导率更为明显;随着颗粒直径进一步减小,声子热导率与电子热导率趋于同一数量级.当纳米颗粒特征尺寸大于4倍块材电子(或声子)平均自由程,其电子(或声子)热导率的颗粒尺度依赖性将减弱.     

r×t阶Kirkman三连系构造的一种方法

发现了 6n+3的高阶 Kirkman三连系构造方法 .阐明了 r× t阶 Kirkman三连系构造的基本理论 .给出了完全三分图的定义 ,并证明了关于 Kirkman三连系构造的命题 .介绍了 1 3 5阶 Kirkman三连系的构造过程 .     

CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION

It is proved in this paper that the approximate solution of the discontinuous Galerkin method does converge even the exact solution of the first order hyperbolic equation is discontinuous.     

Stokes问题的一种新的混合有限元逼近

为了求解Ｓｔｏｋｅｓ问题，本文构造出了一类新的满足ＢＢ－条件的有限元空间对，并给出了相应的超收敛分析．     

不变测试及其计算

用统计方法研究混沌动力系统的需要藉助不变测度理论。本文通过引进Ｆｒｏｂｅｎｉｕｓ－Ｐｅｒｒｏｎ算子，概述了一类绝对连续不变测度的存在条件与计算现状。     

一维链状锌配位聚合物[Zn(Pyphen)(PZDC)(H2O)]的水热合成、结构与荧光性质

The title coordination polymer, [Zn(Pyphen)(PZDC)(H2O)] (1) (Pyphen=pyrazino [2,3-f][1,10]phen-anthroline and H2PZDC=pyrazine-2,3-dicarboxylic acid) has been obtained by using hydrothermal synthesis andcharacterized by elemental analysis, IR, TG, fluorescence spectrum and X-ray diffraction single-crystal structureanalysis. The crystal is of triclinic, space group P1 with a=0.681 8(14) nm, b=0.743 9(15) nm, c=1.759 8(35) nm,α=94.329(30)°,β=95.514(30)°,γ=97.043(3)°,V=0.878 2(3)nm3,Z=2,Mr=481.73,Dc=1.822 g·cm-2,μ=1.452 mm-1,F(000)=448, Rint=0.033 9, R=0.042 5, wR=0.090 7. In complex 1, PZDC ligands link the Zn(Ⅱ) ions to form 1Dchain structures, and further extended into a 3D supramolecular framework through π-π interactions andhydrogen bonding interactions. In addition, complex 1 exhibits strong photoluminescence at room temperature.     

Effect of urea on synchronous fluorescence spectra and electrochemical behaviour of cytochrome

The changes of the synchronous fluorescence spectra and the electrochemical behaviour of cytochrome c with the urea concentration are studied. It has been found that with the increase of urea concentration, there occur sequentially the deaggregation of cytochrome c molecules, the increase of exposure extent of the heme group to the solvent, the disruption of Fe-S bond of the heme group and the change in the electrochemical behaviour of cytochrome c. It is suggested that the reason why the electrochemical reaction of cytochrome c is irreversible is that cytochrome c molecules exist in the concentrated solution as oligomers which are electrochemically inactive.     

单个心肌细胞内钙波的微观动力学研究

利用基于近场光学原理构建的全内反射荧光显微镜研究了大鼠单个心肌细胞中的钙信号. 利用这种显微镜的快速成像和高信噪比的特点，观察到单个细胞中复杂的二维钙波斑图. 分析了单个钙信号释放事件在钙波形成、运动过程中的作用. 建立在fire-diffuse-fire模型基础上的模拟显示，由基本钙释放事件组成的钙波可以在心肌细胞中稳定存在. 此研究对进一步认识活体可激发系统的微观动力学行为有指导意义. 关键词： 近场光学 全内反射荧光显微镜 心肌细胞 钙波