图是λ5-最优的邻域交条件

基于目前网络边连通性在网络拓扑性能方面的广泛应用和高阶限制边通图的各种邻域条件的广泛关注,针对图的高阶限制边连通性的最优化问题进行了深入的研究。该结论通过运用分类讨论和反证假设的方法,对前人一些已知的结果进行推广和改进,给出了阶为n的λ5-连通图的邻域交条件,从而得出图是λ5-最优的充分性条件。这些结论在大规模网络系统中度量网络性能的可靠性和容错性分析方面都有一定的应用,并对研究更高阶的网络连通性的最优化问题提供了方法和理论依据。     

一类强大数定律的推广与应用

引入了随机变量序列的一类可求和方法,证明了一类强大数定律成立的充要条件。它们还是Kolmogorov和Marcinkiewicz两个经典强大数定律在某种意义上的推广。     

Scaled down model design of shaking table test of Taizhou Bridge

Taizhou Bridge is the first kilometer level three-pylon two-span suspension bridge in the world and the structural complexity has significant effects on the seismic performance of the bridge. Shaking table test of Taizhou Bridge is arranged to investigate the effects of non-uniform ground motion input, collision between main and side spans and optimal seismic structural system. It’s very important and difficult to design and manufacture the scaled down model of Taizhou Bridge used during the shaking table test. The key point is that the girder and pylons are very hard to be manufactured if the similarity ratio is strictly followed. Based on the finite element method (FEM) analysis, a simplified scaled down model is designed and the bending stiffness of the girder and pylon are strictly simulated, and the torsion stiffness and axial stiffness are not strictly simulated. The inner forces and displacements of critical sections, points of simplified model and theoretical model are compared by FEM analysis, and it’s found out that the difference between the seismic responses is relatively small. So, the simplified model can be used to conduct the shaking table test by the FEM verification.     

广义行(列)对称矩阵的Moore-Penrose逆

提出了广义行(列)对称矩阵概念,研究了它的满秩分解和奇异值分解,利用这两种分解以及正交相抵,得到3种广义行列对称矩阵Moore-Penrose逆的快速算法,可极大节省其计算量和存储量;推广了相关文献的结果,使其应用范围更广.     

中国《反垄断法》第55条的解释与适用

中国《反垄断法》第55条乃协调知识产权法与反垄断法间冲突之外部体系的核心。第55条虽具除外条款之外观,但不应被解释为限制性法条;而应被解释为说明性法条,是关于不违反反垄断法之知识产权行使与违反反垄断法之知识产权行使的类型描述。第55条并无构成要件;处理个案的实体性问题时,不应直接适用第55条,而是应适用反垄断法的其他规定认定某知识产权行使的违法性。第55条明确了衡平两法的理念,并将此衡平任务授权给反垄断执行机构。     

限制性电荷三体问题的建模与计算

对一个限制性电荷三体系统进行了几何学和动力学分析,在非惯性系下进行了简化,建立了动力学模型,并得到相应的微分方程,最后用数值方法与解析方法相结合对模型进行了求解.     

Restricted allowable generalized quantum gates

An allowable generalized quantum gate (introduced by Long, Liu and Wang) has the form of U = Σ _k=0 ^d−1 c _k U _k , where U _k’s are unitary operators on a Hilbert space H and |Σ _k=0 ^d−1 c _k |⩽1 and |c _k |⩽1 (0⩽k⩽d−1). In this work we consider a kind of AGQGs, called restricted allowable generalized quantum gates (RAGQGs), satisfying 0 < Σ _k=0 ^d−1|c _k |⩽1. Some properties of the set RAGQG(H) of all RAGQGs on H are established. Especially, we prove that the extreme points of RAGQG(H) are exactly unitary operators on H and that B(H)=R ⁺ RAGQG(H).     

等价关系在网格技术中的应用理论研究

等价关系是一种特殊的二元关系,体现了关系的自反、对称和传递的性质,在计算机科学中有重要的应用。网格技术是近年来兴起的一种前沿信息技术,是一种信息社会的网络基础设施,它将互联网上的所有资源互通,更好地实现网络资源共享。网格服务是网格环境中资源的抽象和封装,它遵守网格服务规范,依据服务描述动态创建的Web Service。本文基于等价关系的理论,提出了等价网格服务关系的概念以及资源的划分问题,为服务匹配、服务组合和服务协同的研究提供了理论的支持。     

第四类Cartan-Hartogs域上的Khler-Einstein度量

进一步讨论了第四类Cartan-Hartogs域上Khler-Einstein度量的显表达式问题。运用该度量的显表达式以及Bergman度量的显表达式与连续函数的性质,得到了第四类Cartan-Hartogs域上Khler-Einstein度量和Bergman度量等价的简单证明。