Solid codes and the uniform density of fd-domains

By means of further investigation of solid codes,the problem“Is every fd-domain uni- formly dense”proposed by Yuqi Guo,C.M.Reis and G.Thierrin in 1988 is solved in this paper.     

Influence of Anharmonic Vibration on the Solubility Curve of the Binary Alloy

Taking TiCu alloy as an example, based on the measurement of thermal expansion coefficient, the harmonic vibration cpefficient and anharmonic vibration coefficient of atoms were calculated. With the help of Collins model, the author worked out the thermodynamic function and the solubility curve under the atomic anharmonic vibration. And, the influence of the anharmonic vibration was also discussed.     

Exponential stability of cellular neural networks with multiple time delays and impulsive effects

In this work, the stability issues of the equilibrium points of the cellular neural networks with multiple time delays and impulsive effects are investigated. Based on the stability theory of Lyapunov-Krasovskii, the method of linear matrix inequality （LMI） and parametrized first-order model transformation, several novel conditions guaranteeing the delaydependent and the delay-independent exponential stabilities are obtained. A numerical example is given to illustrate the effectiveness of our results.     

Theoretical Calculation of Energy Levels of a Hydrogen Atom in a Strong Magnetic Field

The eleven low-lying energy levels of a hydrogen atom, and its mean radius in a uniformly high magnetic field B are calculated in a simple variational approach. The potential term containing squared magnetic field in Hamiltonian operator is separated into spherically and nonspherically symmetric potentials. The influence over levels and radius of the hydrogen atom is discussed. The results are in good agreement with the recent literatures, but more accurate. We find that the stronger the'magnetic field is, the smaller the mean radius of the hydrogen atom is.     

关于LX1(μ,Σ)的完备性

设X是局部凸Fréchet空间，(Ω,Σ,μ)是非负有限测度空间，则L_X¹(μ,Σ)是完备的，从而也是局部凸Fréchet空间.     

掺杂和取代对聚苯胺导电性能影响机制的研究

在导电聚合物的研究中，聚苯胺及其衍生物一直是人们相当感兴趣的课题．此类聚合物既可用氧化剂掺杂，也可进行质子酸掺杂，掺杂后其电导率可提高约十个数量级｛1，’］；利用在主链上引入取代基等化学修饰方法，可方便地调节其溶解性、加工性等物理化学性能．已有的研究结果表明，主链的化学修饰往往给聚苯胺的导电性能带来不利影响＊．因此，如何使聚苯胶类导电聚合物保持高的电导率且同时具备优良的物理加工性能使成为此类导电聚合物研究中的一个亟待解决的问题一本文利用鼻子化学EHMO－CO方法对掺杂和取代影响聚苯胺及其衍生物导电性…     

Wielandt-Hoffman定理在四元数体上的推广

本文将Wielandt-Hoffman定理的一种对称形式推广到四元数体上，得到了自共轭矩阵二项式的广义F-范数估计定理和一个幕迹定理.     

关于Minkowski空间的子流形

利用Ｆｉｎｓｌｅｒ法曲率Ａ、Ｌａｎｄｓｂｅｒｇ曲率Ｌｙ、法切曲率Ｆｙ、Ｂｅｒｗａｌｄ联络Ｄ以及第二基本形式Ⅱ_ｙ，研究Ｍｉｎｋｏｗｓｋｉ空间中的子流形、子流形的旗曲率与李齐曲率．     

探究二氧化硫在盐酸中分别与铜单质、二价铜离子、氯化铁溶液的反应*

通过实验发现:SO₂在盐酸中既能将Cu单质氧化为+1价铜的化合物,也能把Cu²⁺还原为+1价铜的化合物,且发现SO₂将Cu单质氧化或将Cu²⁺还原都需要有Cl^-来参与反应,其反应机理需要通过SO₂和FeCl₃的反应(I^-催化)来进一步探究。这几个探究实验皆易于操作与观察,具有显著的实验表征,有利于从宏观辨识深入到微观探析的过程。     

旋转圆盘电极体系上的非稳态电极过程

本文用Laplace变换和正则摄动法求解旋转圆盘电极体系的对流扩散方程, 得到精确的级数解, 并拟合得到近似公式。从该公式出发, 经Laplace变换运算, 本文得到了大幅度电位阶跃过程的电流公式和脉冲电流过程的极限电流公式。