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In chapter 2, some preliminary kownledges in topologically dynamical system and ergodic theory, which will be used in this paper, are reviewed.

在第二章中，我们介绍了本文涉及到的一些拓扑动力系统和遍历理论的预备知识。

In the first chapter we introduce the basic notions and results of topological dynamics, including some basic knowledge of ergodic theory which will be used in context.

在第一章中，我们简要的介绍了本文涉及到的拓扑动力系统与遍历理论的一些基本概念与结论。

These sets are interesting subsets of natural number in combinatorial number theory, ergodic theory and topological group.

这些集合是人们在组合数论、遍历理论以及拓扑群中感兴趣的重要的自然数子集。

In the next chpater, chapter 4, topological analogue of Kolmogorov system in ergodic theory, namely uniform positive entropy u.

在第四章中，我们研究了测度Kolmogorov系统的拓扑对应：n-一致正熵系统（n≥2）和完全一致正熵系统。

After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.

首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius-Perron算子的泛函分析与数值分析；最后《确定性系统的统计性质》介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

Jiu Ding,Aihui Zhou,Statistical Properties of Deterministic Systems Statistical Properties of Deterministic Systems discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation.

摘要本书介绍的是确定性离散动力系统统计性质的基本理论与计算方法，首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius—Perron算子的泛函分析与数值分析；最后本书介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

Difference vector is defined by which bad data and sudden load change can be identified under topology error condition.

在新息图网络中，定义了差别向量以及不良回路和突变回路的概念，进行拓扑错误情况下的坏数据和负荷突变的检测识别。

Compared with other approaches to Ethernet topology discovery,this algorithm is more efficient and practical.

与已有的物理拓扑发现算法相比，该算法具有高效、实用的优点。

In this thesis, based on the preceding research of our laboratory, a new type of cagelike cyclophanes, in which 1,1 '-binaphthyl unit ,the source of chirality and three different linkers(2,6-dibromopyridine, 1,4-diiodobenzene, 4,4'-diiodobiphenyl) connected by ethynyl was designed and synthesized successfully and their optical properties were preliminarily researched.

本论文在大量的文献调研和本实验室过去研究结果的基础上，设计了由2，2'-二取代-1，1'-联萘和2，6-二取代吡啶，1，4-二取代苯，4，4'-二取代联苯三种不同连接桥通过炔键链接构筑的拓扑有趣的光学活性环芳化合物-四联萘笼状分子。

In these topological spaces, it usually adopts Euclidean distance to measure similarity between objects.

在这些拓扑空间中，数据对象的相似性一般由欧式距离来度量。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。