<Emphasis Type="Italic">N</Emphasis>-dimensional space-time unit spheres and Lorentz transformation

By using hyperbolic virtual unit of Clifford algebra, the concept of n-dimensional space-time unit spheres is introduced. It is used as n-dimensional Minkowski space-time and Lorentz transformation.     

The Structure of the (Outer) Automorphism Group of a Bieberbach Group

Referring to Tits alternative, we develop a necessary and sufficient condition to decide whether the normalizer of a finite group of integral matrices is polycyclic-by-finite or is containing a non-Abelian free group. This result is of fundamental importance to conclude whether the (outer) automorphism group of a Bieberbach group is polycyclic-by-finite or has a non-cyclic free subgroup.     

分布式多点控制单元的模型与实现

针对集中式多点控制单元(MCU)存在的负载集中、扩展性差、规模受限和故障容错能力差等问题,提出了一种基于软件的分布式MCU模型,它采用组播和单播相结合的数据传输策略,支持跨网段的数据传输。同时,还分析了分布式MCU的群组交互能力和故障恢复机制。测试及实际应用表明：与集中式MCU相比,分布式MCU不仅可以有效地扩大群组交互的规模,而且在故障容忍及恢复方面也有明显改进。目前该模型已在多媒体同步实时授课系统Smart-RealClass中得到应用。     

电控单体泵电磁阀内阻尼油膜的挤压流动分析

电磁阀是决定所有电控燃油喷射系统性能的关键部件,其阻尼系统参数影响电磁阀的动态响应特性。为此运用平行平板间缝隙流动基本理论对存在于电磁阀衔铁和电磁铁之间的阻尼油膜进行了简化分析。计算结果与有限元方法对比,两者的相对误差只有2%。在此基础上进行了仿真分析,研究了各结构参数对衔铁阻尼特性的影响,为衔铁的设计和参数的匹配提供了依据。     

Stable Ranges For Morita Contexts

In this paper, we show that if rings A and B are (s, 2)-rings, then so is the ring of a Morita context (A, B, M, N, , ). Also we get analogous results for unit 1-stable ranges and GM-rings. These give new classes of rings satisfying such stable range conditions.2000 Mathematics Subject Classification: 16U99 16E50     

Testing for Unit Roots in a Nearly Nonstationary Spatial Autoregressive Process

The limiting distribution of the normalized periodogram ordinate is used to test for unit roots in the first-order autoregressive model _st= _s-1,t+_s,t-1- _s-1,t-1+_st. Moreover, for the sequence _n = e ^c/n , _n = e ^d/n of local Pitman-type alternatives, the limiting distribution of the normalized periodogram ordinate is shown to be a linear combination of two independent chi-square random variables whose coefficients depend on c and d. This result is used to tabulate the asymptotic power of a test for various values of c and d. A comparison is made between the periodogram test and a spatial domain test.     

Stochastic Lagrangian Relaxation Applied to Power Scheduling in a Hydro-Thermal System under Uncertainty

A dynamic (multi-stage) stochastic programming model for the weekly cost-optimal generation of electric power in a hydro-thermal generation system under uncertain demand (or load) is developed. The model involves a large number of mixed-integer (stochastic) decision variables and constraints linking time periods and operating power units. A stochastic Lagrangian relaxation scheme is designed by assigning (stochastic) multipliers to all constraints coupling power units. It is assumed that the stochastic load process is given (or approximated) by a finite number of realizations (scenarios) in scenario tree form. Solving the dual by a bundle subgradient method leads to a successive decomposition into stochastic single (thermal or hydro) unit subproblems. The stochastic thermal and hydro subproblems are solved by a stochastic dynamic programming technique and by a specific descent algorithm, respectively. A Lagrangian heuristics that provides approximate solutions for the first stage (primal) decisions starting from the optimal (stochastic) multipliers is developed. Numerical results are presented for realistic data from a German power utility and for numbers of scenarios ranging from 5 to 100 and a time horizon of 168 hours. The sizes of the corresponding optimization problems go up to 200000 binary and 350000 continuous variables, and more than 500000 constraints.     

焦面板孔与单元的配合设计及可靠度分析

通过分析功能公差、配合公差和储备公差之间的关系,合理地确定了焦面板孔与单元配合的公差等级.提出了焦面板孔与单元配合的可靠度概念及设计方法.利用配合件尺寸服从正态分布条件的可靠度公式,定量地反映了焦面板孔与单元的实际配合达到设计要求的程度.计算结果表明,这种方法较传统设计方法更加科学,为判断焦面板孔与单元的配合设计是否合理提供了一种科学的评价方法.     

基于MATLAB的斜拉索有限元模型的建立及应用

综述了斜拉索静动力特性的研究情况,建立了基于MATLAB的斜拉索有限元模型,并通过实例对模型进行了分析。     

投标商资金约束下网上单物品最优拍卖设计

针对传统拍卖机制设计所涉及的决策变量较少的弊端,结合网上拍卖的新特点,引入拍卖商的保留价、拍卖时间和投标者到达过程等决策变量,以投标者利润最大化为目标建立相关模型,在考虑投标商资金约束情况下,对单物品在线最优拍卖进行了设计.