On Semi—tensor Product of Matrices and Its Applications

The left semi-tensor product of matrices was proposed in [2]. In this paper the right semi-tensor product is introduced first. Some basic properties are presented and compared with those of the left semi-tensor product.Then two new applications are investigated. Firstly, its applications to connection, an important concept in differential geometry, is considered. The structure matrix and the Christoffel matrix are introduced. The transfer formulas under coordinate transformation are expressed in matrix form. Certain new results are obtained.Secondly, the structure of finite dimensional Lie algebra, etc. are investigated under the matrix expression. These applications demonstrate the usefulness of the new matrix products.     

Finsler子流形的Chern联络与Gauss方程

利用Chern联络D、Cartan张量A以及第二基本形式H．研究了Finsler子流形中的诱导Chern联络与第一、第二曲率R和P，给出了子流形的关于R曲率、P曲率以及flag曲率的Gauss方程。     

基于模糊判决的图像边缘连接

边缘连接是图像边缘提取中的一项重要的后处理技术。基于模糊判决理论 ,在由Sobel算法得到的边缘图像的基础上 ,给出了一套行之有效的边缘连接技术。结果表明 ,用所提出的算法提取目标图像的边缘时 ,能够在保持原有图像不失真的情况下 ,较大地提高边缘图像边界的连通性 ,为光电跟踪器和成像雷达的目标检测、跟踪和识别等提供了良好的基础。因而 ,本算法具有较高的实际应用价值     

Some Invariant Properties of Semi-symmetric Metric Recurrent Connections and Curvature Tensor Expressions

The projective transformation of the special semi-symmetric metric recurrent connection is studied in this paper. First of all, an invariant under this transformation is granted; Secondly, by inducing of the invariant and making use of the properties that the corresponding covariant derivative keeps being fixed under the distinctness connection, the curvature tensor expression of the Riemannian manifold is posed at the same time.     

Natural convection mass transfer behavior of serially connected cylindrical electrodes

Natural convection mass transfer rates at both vertical and horizontal serially connected tubes were reported using the electrochemical technique involving the measurement of limiting currents for the deposition of copper on copper cylinders from acidified cupric sulphate solutions. Measurements were carried out with: (a) one tube active; (b) two tube surfaces active; (c) three tube surfaces active.

The electrolyte concentration and a number of serial connections of tubes were varied to provide a range of GrSc extending from 5.3×10⁸ to 9.5×10¹¹. The mass transfer rates at serially connected horizontal cylinders were in good agreement with mass transfer data in the literature. Correlation of results covered both laminar and turbulent conditions separately. The mass transfer rates at serially connected vertical cylinders were controlled by the boundary layer development at the multi-electrodes. The results for vertical electrodes, which are single, serially connected two and three electrodes, were separately correlated in the turbulent region.

The results illustrate the important effect of boundary layer development in determining current distribution in multi-electrode electrochemical cells.     

伏安法测量电阻的误差分析

本文给出伏安法测量电阻时，安培计内、外接法的定量选择公式，定量地描绘了使测量误差在允许范围所需要采取的具体措施。     

A Covariant Poisson Deformation Quantization with Separation of Variables up to the Third Order

We give a simple formula for the operator C ₃ of the standard deformation quantization with separation of variables on a Kähler manifold M. Unlike C ₁ and C ₂, this operator cannot be expressed in terms of the Kähler–Poisson tensor on M. We modify C ₃ to obtain a covariant deformation quantization with separation of variables up to the third order which is expressed in terms of the Poisson tensor on M and can thus be defined on an arbitrary complex manifold endowed with a Poisson bivector field of type (1,1).     

Harmonic Maps into the Moduli Spaces of Flat Connections

It is proved in this paper that, under reasonable assumptions, for each given harmonic map into the moduli spaces of flat connections, there exists one corresponding smooth family of Yang–Mills solutions approaching to the given harmonic map as the parameter tends to zero.     

The energy well connection graph: a use of curvilinear coordinates to achieve dimension reduction for graph representation of molecular conformation energy data

In the conformation space of a flexible molecule, curvilinear coordinate paths connecting conformations of segments of the given molecule are used to reduce the number of variables required for describing barriers between preferred conformations of the molecule as a whole. The technique is applied to a hypothetical example, then to m-trinuoromethyl-N-ethyl-amphetamine (fenfluramine), and to N-methyl-3-phenyl-3-(o-methoxyphenoxy)-propylamine (nisoxetine). In the latter example, the number of variables is thus reduced from six to three. In all three examples, a graph representation of low-energy well connection is achieved. The limit of easy comprehension has thus been moved back from about three torsion angles to three effective segments. Within this limit the procedure leads to a quantitative diagram, which is no harder to read than a contour map, showing the barriers to low-energy interconnection among the favorable conformations of a moderately complex molecule.     

膜电极上并联电容和控制电流示波电位滴定法

本文研制了几种含聚氯乙烯（ＰＶＣ）膜的选择性电极，使用两种克服电极上交流噪音的方法即并联电容和控制电流示波电位滴定法测定Ｃｕ＾２＋、Ｎｉ＾２＋等金属离子以及ＴＰＢ＾－、Ｍｎｏ４等阴离子并对盐酸左旋咪唑，盐酸阿米替林，心得安等药物含量进行了测定，文中还对这两种方法消除交流噪音的机理进行了探讨，获得满意的结果。