完备空间

The existences of common fixed points and fixed points for set valued mapping s in a complete normed space are discussed.

在更一般的条件下，研究了完备度量空间中集值映象的重合点和不动点存在性问

We prove that an n-dimensional complete open Riemannian manifold M with Ricci curvature Ric_M ≥ 0 is diffeomorphic to an Euclidean n-space if M satisfies some volume growth conditions.

第二章，我们研究了Ricci益率有一定下界的完备非紧n维Riemann流形，证明了这样的流形在满足一定体积增长条件下微分同胚于n维欧几里德空间。

179Banach Algebra Techniques in Operator Theory, Ronald G. Douglas180 A Course on Borel Sets, S.M.

Borel集是集合论和逻辑学的重要概念，本书介绍完备可分的测度空间的Borel子集，内容从基本的集合论概念到描述集合论的公开问题。

In the second part of this paper, by considering the geometric properties of some well-known classical Riemannian manifold and combining with results we had got, we give the definition of the parallel rays in a complete nocompact Riemannian manifold M, which are usual parallel rays when M is restricted to Euclidean space R.

本文的第二部分，基于对一些典型的黎曼流形几何性质的观察，结合已有的研究成果，我们首次给出了完备非紧黎曼流形上平行射线的定义，该定义在欧式空间中就是普通的平行射线。

We still study a complete noncompact space-like submanifold ina pseudo-Euclidean space R_p~, and obtain some sufficient conditions for thespace-like submanifold to have finite many ends in this thesis.

本文还获得了伪欧氏空间R_p~中完备非紧的类空子流形具有有限个端的充分条件。

The close method of the symplectic enginsolution is presented based on the completeness of the space of symplectic enginsolutions.

利用辛本征解空间的完备性，建立一套封闭的求解问题方法。

Prove the same completeness of the two topological vector space of linear topological equivalence.

证明两个线性拓扑等价的拓扑向量空间具有相同的完备性。

Then,it notices that all infi-nite matrix operators between the sequence spaces with the WGHP may form a topologicalalgebra.It also studies the weak sequentially completeness of this class of topological al-gebras and some other basic properties.

其次发现了具有WGHP序列空间上无穷矩阵算子所成之拓扑代数，并研究了这类无穷矩阵拓扑代数的弱序列完备性等一些基本性质。

For example, there are headquarters with complete functions of office, demonstration, and reception for exclusive use of large-sized group corporations and institutions; there are private and exalted enterprise clubhouses for steering business and meeting VIPs; there are also Grade A intelligent office buildings tailor-made for innovative financial service enterprises.

园区为多种办公需求设计了形态各异的商务空间，有供大型企业集团或大型机构独家使用的，办公、展示、接待功能完备的总部；有私密、尊崇的企业会馆，在此掌控商业帝国，运筹帷幄，会见要人；也有为创新金融服务中小企业量体打造的甲A级智能型办公楼，机会无限，发展无限。

An intelligent fault detection and diagnosis method based on space vector is presented, fault diagnosis knowledge self-acquisition and self-tuning and symptom optimum algorithm are infered. 4、An early fault detection and diagnosis method based on ANN for process industry is presented, which has perfect self-learning and self-tuning ability and can establish diagnosis model automatically with the process of fault diagnosis in the absence of sufficient prior knowledge.

提出一种基于特征空间向量的智能故障诊断方法，推导了其故障诊断知识的自动获取算法和故障诊断的自适应算法以及征兆信号优化选取算法； 4、提出一种基于人工神经网络的生产过程早期故障检测与诊断方法，该故障诊断方法知识获取容易，具有良好的自学习和自适应能力，能够在故障先验知识不完备的情况下，通过与用户的交互，逐步自动建立起完善的故障模型知识。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。