电离层时域探测方法

给出了各向同性分层半空间等离子体对时域电磁脉冲后向散射的有关公式，得出了反抛物层时域响应的解析表达式，并利用时频分析方法演出了电子密度分布。     

Equivalent Conditions for Convergence of Splittings of Non-Hermitian Indefinite Matrices

We present some sufficient and necessary conditions for convergent splitting of a non-Hermitian indefinite matrix. Some sufficient conditions to determinate a matrix with a (strongly) dominant symmetric part for a class of boundary value problem are also obtained. These results are applicable to identify the convergence of iterative methods for solving large sparse systems of linear equations.     

Eigensolution of specially structured matrices with hyper‐symmetry

Recently, four canonical forms have been developed and applied to the dynamics and stability analysis of symmetric frames. In this paper, hyper‐symmetric matrices and specially structured matrices are defined and efficient methods are proposed for the eigensolution of such matrices. Applications are extended to hyper‐graphs and specially structured graphs. Simple methods are developed for calculating the eigenvalues of the Laplacian matrices of such graphs. The developments presented in this paper can also be considered as generalization of Form II and Form III symmetry, previously defined by the authors. Copyright © 2006 John Wiley & Sons, Ltd.     

交错群A_5的4度连通对称图的分类

一个图Г称为G-对称的(symmetric).如果其同构群Aut(r)的一个子群G在图r的有向孤集(set of ordered pairs of adjacent vertices)上的作用是传递的(transitive).本文主要结果是:设图Г是4度对称图.全自同构群Aut(r)=A_5,则图r是且仅是如下图之一:(1)Г是15个点的完全图K_5的三维覆盖(3-fold cover)图.(2)Г是完全图K_5.     

SYMMETRIC STABLE SEQUENCES WITH MISSING OBSERVATIONS

Abstract. A procedure for evaluating optimal linear estimates of missing values in the minimum dispersion sense is proposed for stationary symmetric stable processes. Analytical expressions for the estimates are obtained for the autoregressive moving-average process and it is shown that the finite variance setting results are special cases. Cases of one and more than one missing value are considered.     

华北盆地南缘大地电磁测深资料地质解释及大别山推覆体成因探讨

根据新近在大别山北麓获得的四条大地电磁测深剖面可以看出,该区地下介质的电性恃征具了明显的纵向上分层、横向上分块的特点。纵向上目上而下分为9个电性层.均有确定的地质属性。其中:第二和第九电性层为本区低阻标志层;第三和第六电性层为相对高阻层;第八电性层为高阻率电阻率高达1000Ω·m以上);第四、第五、第七电性层既有高阻、又有低阻分布.情况比较复杂。■向上的电性分块结构与本区的凸、凹相间的构造格局相对应。这四条大地测深剖面,均反映本区在5～15km深处有一个面积达15000km~2的连续低阻层(第九电性层).电阻率仅有1～3Ω·m。经分析,认为此低阻层可能是一个区域性的主滑脫面,是形成大別山推覆体由北向南的运动面.     

Beller-Yacobi协议的研究与模拟实现

本文着重分析了Beller-Yacobi协议及以其中用到的RSA加解密及签名算法,并以RSA加解密算法为例在.NET环境下使用C#语言模拟实现了其详细过程,最终实现了整个Beller-Yacobi密钥传输协议的过程。     

极C-invex条件下多目标非线性规划问题的对称对偶性

提出了一个多目标非线性规划的对称对偶性问题,并利用弱有效性和真有效性的概念,证明了在极C-invex条件下与规划问题相关的弱对偶定理、强对偶定理、逆对偶定理和自对偶定理.     

实行(列)对称矩阵的QR分解

提出了行(列)倒置矩阵与行(列)对称矩阵的概念,研究了它们的性质,获得了一些新的结果,给出了实行(列)对称矩阵的QR分解的公式,它们可极大地减少行(列)对称矩阵的QR分解的计算量与存储量,而且不会降低数值精度.     

框架的行置换和列置换——处理复杂系统的新思维系列之四

本系列论文基于《多边矩阵理论》,由东方整体性思维所启迪,试图提供并完善一套从整体到局部处理复杂系统多指标问题、非均匀性问题、非线性问题的强有力的数学工具,并对其进行严格的理论推导和证明。本文利用群论的相关概念和结论,将其和框架的剖分运算相结合,引入了导出框架和对称框架的定义,证明了框架的行置换等价于列置换的结论,从而以后可以统一地处理指标间的置换问题。