竖壁液膜流壁面热流率对流动影响的实验研究

本文用相空间重构的方法,对竖壁薄液膜流动的液膜厚度时间序列进行了重构,并用分维数对奇怪吸引子的动力特征进行了描述,由此描述了壁面热流率对竖壁薄液膜流动特性的影响。     

n-Strongly Gorenstein Projective,Injective and Flat Modules

In this article, we study the relation between m-strongly Gorenstein projective (resp., injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever m ≠ n, and the homological behavior of n-strongly Gorenstein projective (resp., injective) modules. We introduce the notion of n-strongly Gorenstein flat modules. Then we study the homological behavior of n-strongly Gorenstein flat modules, and the relation between these modules and n-strongly Gorenstein projective (resp., injective) modules.     

关于满足弱开集条件的自相似测度的局部维数的注记

对于自相似集合,已知开集条件与强开集条件是等价的,我们讨论了强开集条件的基些性质,并给出了自似测度局部维数研究的一个应用。     

自相似马氏过程的Hausdorff维数(英文)

本文讨论了取值于 Rd的随机过程 Xt=( X1 ( t) ,X2 ( t) ,… ,XN( t) ) ,并且在一定条件下获得了 Xt的像集和图集的 Hausdorff维数 .这里 Xi( t) ,t∈ R 是独立的取值于 Rdi 的αi-自相似马氏过程 ,并且 ∑Ni=1 di=d.     

A Simulation of Near Field Optics by Three Dimensional Volume Integral Equation of Classical Electromagnetic Theory

A numerical simulation code for three dimensional problems of near-field optics has been developed using the volume integral equation with the moment method. The object is assumed to be continuous and macroscopic dielectric and can be treated by macroscopic Maxwell#x0027;s equations. The code can treat the large-scale moment method matrix that is obtained by the discretization of the volume integral equation. The resultant matrix equation is solved by an iteration method called the generalized minimum residual method with reasonable computational cost for simple problems of near field optics. Simulation of a simplified model of a scanning near-field optical microscope has been performed and basic polarization characteristics of the system have been investigated in detail. The code is also applied to the collection-mode of a photon scanning tunneling microscope, where the incident wave is the evanescent wave, and basic relation between near-field and far field i.e., output image, is recognized.     

Synthesis and structure of a new one‐dimensional cobalt complex with dicyanamide and 4‐picolyl choride bridges

The synthesis and structure of the 1D cobalt (II) complex, [Co( L )₂(dca)₂] ( 1 ) (dca = dicyanamide, C₂N₃^–, L = 4‐picolyl choride) is reported. Complex 1 crystallized in triclinic system, space group P ‐1, with cell dimensions of a = 7.291(2) Å, b = 7.481(2) Å, c = 9.007(3) Å, α =104.444(4)°, β = 96.971(4)°, γ =102.618(4)°, V = 456.1(2) ų, Z = 1, Dc = 1.624 Mg/m³. In complex 1 , Co (II) is 6‐coordinated by N atoms of four dca ligands and two L ligands. The centrosymmetric CoN6 chromophore is an axially elongated octahedron that has Co‐N distances ranging from 2.122(3) to 2.154(3) Å. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Hasegawa-Mima方程的整体吸引子

考虑了带有耗散项的Hasegawa-Mima方程解的长时间性态, 研究了具有初值周期边值条件的Hasegawa-Mima方程的整体吸引子问题．运用关于时间的一致先验估计,证明了该问题整体吸引子的存在性,并获得了整体吸引子的维数估计．     

Relation Between Dimension and Angular Momentum for Radially Symmetric Potential in N-Dimensional Space

It is proved that when solving SchrSdinger equations for radially symmetric potentials the effect of higher dimensions on the radial wave function is equivalent to the effect of higher angular momenta in lower-dimensional cases. This result is applied to giving solutions for several radially symmetric potentials in N dimensions.     

二指标二维Lorentz空间的分析性质

将二维Lorentz空间∧2^p（ω）推广到二指标二维Lorentz空间∧2^p（ω）,给出了当0＜γ1,γ2＜∞,0＜p,q＜∞时,∧^γ1（u）包含∧2^p^γ2（ω2）,∧2^p^γ1（ω1）包含∧2^p^γ2（ω2）,2^p^γ1（ω1）包含∧^γ2（v）的充要条件,以及当0＜γ1,0＜p,q＜∞时,∧^p·γ1（u）包含∧2^p·∞（ω2）,∧2^p·γ1（ω1）包含∧^q·∞（v）的充要条件,研究了二指标二维Lorentz空间和混合Lorentz空间的嵌入关系,并且给出了｜｜·｜｜∧2^p·q（ω）是拟范数的充要条件等结论。     

一类N参数Gauss过程的异常震动点集合的Hausdorff维数

引进了一类N参数Gauss过程,它具有比N参数Wiener过程更为一般的性质．给出了此类N参数Gauss过程的异常震动点集的定义,并且定义了此异常震动点集的Hausdorff维数．研究了此类过程的异常震动点集Hausdorff维数,给出了它的一个确切的表达式,从而获得了与Zacharie (2001)的有关两参数Wiener过程的类似的结果．考虑的参数点集是一般的超长方体．而不是Zacharie (2001)考虑的超正方体．在此更为一般的情况下,首先建立了文中引进的过程的Fernique不等式．利用此不等式和Slepian引理,证明了过程的Lévy连续模定理．Zacharie(2001)关于Hausdorff维数公式的证明依赖于两参数Wiener过程的独立增量性,而这里引进的过程不具有这种性质,因此,必须采用新的证明途径．