带参数的一阶脉冲微分方程边值问题

利用上下解和单调迭代法。讨论了带参数的一阶脉冲微分方程。获得了单边Lipschitz条件下这类方程边值问题的解的存在性。     

A new distributed approximation algorithm for constructing minimum connected dominating set in wireless ad hoc networks

In recent years, constructing a virtual backbone by nodes in a connected dominating set (CDS) has been proposed to improve the performance of ad hoc wireless networks. In general, a dominating set satisfies that every vertex in the graph is either in the set or adjacent to a vertex in the set. A CDS is a dominating set that also induces a connected sub‐graph. However, finding the minimum connected dominating set (MCDS) is a well‐known NP‐hard problem in graph theory. Approximation algorithms for MCDS have been proposed in the literature. Most of these algorithms suffer from a poor approximation ratio, and from high time complexity and message complexity. In this paper, we present a new distributed approximation algorithm that constructs a MCDS for wireless ad hoc networks based on a maximal independent set (MIS). Our algorithm, which is fully localized, has a constant approximation ratio, and O(n) time and O(n) message complexity. In this algorithm, each node only requires the knowledge of its one‐hop neighbours and there is only one shortest path connecting two dominators that are at most three hops away. We not only give theoretical performance analysis for our algorithm, but also conduct extensive simulation to compare our algorithm with other algorithms in the literature. Simulation results and theoretical analysis show that our algorithm has better efficiency and performance than others. Copyright © 2005 John Wiley & Sons, Ltd.     

横置螺旋弹簧隔振器在冲击激励下的最大应力研究

本文研究横置螺旋弹簧隔振器简化模型在主工作方向上的有预载荷的不同初值，或幅值的上架或基础冲击激励下的最大应力及发生位置，并对隔振器弹簧进行了强度分析。     

Maximal contractions in Boolean algebras

In the present paper,the concepts of deductive element and maximal contraction are introduced in Boolean algebras,and corresponding theories of consistency and maximal contractions are studied.An algorithm principle is proposed to compute all maximal contractions for a consistent set with respect to its refutation in Boolean algebras.It is pointed out that the quotient algebra of the first-order language with respect to its provable equivalence relation constitutes a Boolean algebra,and hence the computation of R-contractions for closed formulas in first-order languages can be converted into the one in Boolean algebras proposed in this paper.Furthermore,the concept of basic element is introduced in Boolean algebras,which contributes to the definitions of clause and Horn clause transplanted from logic to a special type of Boolean algebras generated by basic elements.It is also pointed out that the computation of R-contractions for clauses in the classical propositional logic can be converted into the one in Boolean algebras generated by basic elements proposed in this paper.     

向量值多线性交换子极大算子的加权估计

利用sharp极大估计给出了向量值极大算子的多线性交换子加权估计。由此可将极大算子的多线性交换子延拓为向量值加权的Lebesgue空间上的有界算子。     

不对称级联型多电平变频器的分析及改进

不对称级联型多电平变频器拓扑结构各单元直流母线的电压不尽相同,采用混合控制策略,可以用较少的功率器件输出更多的电平数,达到更好的输出性能．引入最大延伸定理,为不对称级联型多电平变频器各单元选取电压比值提供理论依据,同时给出了一种改进型不对称级联型多电平变频器拓扑结构．     

多维数据流最大频集挖掘模型和算法

为了挖掘到有价值的信息,需要挖掘多维数据流上的频繁项目集,因此引入多维项目和多维项目集的概念表示多维数据流上的项目.设计了一种紧凑、压缩的数据结构MaxFP-Tree用于维护多维项目集,并在MaxFP-Tree的基础上设计了挖掘多维数据流上最大频集的增量式更新算法.实验结果表明,设计的挖掘多维数据流中最大频集的模型和算法是高效的.     

数据流中基于滑动窗口的最大频繁项集挖掘算法*

挖掘数据流中最大频繁项集是从数据流中获得信息的一种有效手段,是数据流挖掘研究的热点之一。结合数据流的特点,提出了一种新的基于滑动窗口的最大频繁项集挖掘算法。该算法用位图来存储数据流中流动的数据;采用直接覆盖的方法存储和更新数据流上的数据;在深度优先搜索挖掘最大频繁项集时,除采用经典的剪枝策略外,还提出了与父等价原理相对应的子等价剪枝策略;最后将挖掘结果存储在索引链表中以提高超集检测效率,进一步减少挖掘最大频繁项集的时间。理论分析和实验结果证实了该算法在时间和空间上的有效性。     

基于FSG的最大频繁子图挖掘算法*

图挖掘已成为数据挖掘领域研究的热点,然而挖掘全部频繁子图很困难且得到的频繁子图过多,影响结果的理解和应用。可通过挖掘最大频繁子图来解决挖掘结果数量巨大的问题,最大频繁子图挖掘得到的结果数量很少且不丢失信息,节省了空间和以后的分析工作。基于算法FSG提出了最大频繁子图挖掘算法FSG-MaxGraph;结合节点的度、标记及邻接列表来计算规范编码,提出两个定理来减少子图同构判断的次数,并应用改进后的决策树来计算支持度。实验证明,新算法解决了挖掘结果太多理解困难的问题,且提高了挖掘效率。