拓扑结构

Based on the comparison of proposed basic topologies, Hypercube, as a popular used topology in networks, has a lot of advantages such as simple routing algorithm, small diameter and average number of internode distance, high fault-tolerance and so on. On the other hand, the network nodal degree which is logarithmically proportional to the number of network nodes limits the Hypercube network population most. So a class of hierarchical topologies are proposed to remedy this weakness of Hypercube and keep most of the advantages of Hypercube, such as CCC , HHC and deCube and so on.

基于对所提出的基本互连网络的性能比较，超立方体网络作为一个得到普遍研究的网络拓扑结构具有很多的优点，比如网络的非常简单的寻路算法，很小的直径和网络平均节点距离，高容错能力等等，但非常遗憾的是超立方体的缺点是超立方体的节点度随着网络规模的增加而成对数关系增加，从而限制了此网络的应用规模，大大地掩盖了它的诸多优点，所以人们提出了一类分层网络结构来弥补超立方体的不足同时最大限度地利用其优点，包括CCC，HHC以及deCube等。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

We give a sufficient condition for the self-similar set in the plane which is homeomorphic to the unit disk.

最后一章讨论自相似集的拓扑结构，给出了平面上的自相似集同胚于单位圆盘的充分条件。

An analysis of dynamics with changing topology for the humanoid running robot is carried out.

提出了仿人跑步机器人变拓扑结构动力学的分析方法。

ABSTRACT Hypercube network is one of the most important and attractive network topologies so far.

超立方体网络是迄今为止最为重要和最具吸引力的网络拓扑结构之一。

Using the new method, fault tracing and handling and the practical and simple algorithm of power flow calculation with the ability of topology identification are studied, which make ready for the fault restoration.

利用新方法，研究了系统的故障跟踪、故障处理方法及带有网络拓扑结构识别的实用简单潮流计算方法，为系统的故障恢复做好了充分的准备。

Analysis Finite impulse response digital filtering of a variety of network topology and its characteristics.

分析了 有限冲击响应数字滤波的各种网络拓扑结构及其特点。

According to the characteristics about local and incessancy when workflow model changes, to improve efficency and reduce complexity of maintenance, the minimality of workflow model changing is researched based on topology analysis.

针对工作流模型局部地、持续变化的特点，为提高维护效率，降低模型维护的复杂性，本文基于对工作流模型拓扑结构的分析，研究了工作流模型变化的最小性问题。

We introduced the topology induced by ideals of effect algebra, named ideal topology, and we show that the operations are continuous with respect to the ideal topology.

最近研究表明，这是效应代数上的一个具有良好性质的拓扑结构。

Firstly, the conception of networked control systems, introduction and content of networked control systems theory are introduced. Secondly, the network induced time delays of different topology structure are analyzed and then the corresponding plants are modeled. Based on the above, a compensation scheme for the transmitting time delay from controller to actuator is developed. And also a sliding mode controller that makes the system robust is designed.

首先，介绍了网络控制系统的概念和网络控制系统理论的发展概况、研究内容及现状；其次，对不同拓扑结构的网络控制系统的延时进行分析并引入了相应的系统模型：在此基础上，针对网络传输产生的控制器到执行器的延时问题，对不确定输入延时系统提出了一种补偿策略，设计了滑模控制器，使系统具有强鲁棒性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。