紧空间

Moreover, it is obtained that, if X is a core compact and locally connected space, then the Isbell and Scott topologies agree on functions space for all continuous L-Domain L with a least element if and only if X is an RW-space.

而且还证明了，若X是核紧的局部连通空间，则对所有有最小元的连续L-DomainL，上的Isbell拓扑和Scott拓扑相同当且仅当X是RW-空间。

parametric vector equilibrium problem ; moving cone ; solution mapping ; continuity

并始终假设下列条件成立：A是一个拓扑空间；X和Z均为拓扑向量空间；集值映射D：A→2X，t∈A，D是X中的非空紧凸子集

In the second chapter, we study a pinching theorem for submanifolds of locally symmetric space with parallel mean curvature .

第二章节是关于局部对称空间中具有平行平均曲率向量子流形的pinching定理，设M是局部对称空间N~中一个紧致子流形。

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

As the parameters are numerous in non-rigid registration model, the particle swarm optimization algorithm is selected to achieve exploration and exploitation in the whole feasible space accurately and fleetly for the unknown parameters of nonrigid transformation. Particle swarm optimization algorithm has the characteristic of fast global searching for the optimal, but it is restricted in applications by the inclination of its particles falling into premature convergence.

在非刚性图像配准的框架下，提出应用Wendland紧支径向基函数作为参数化的空间变换模型，并针对非刚性配准模型的未知参数量大的问题，提出应用全局化的粒子群优化算法对整个可行性空间进行快速而准确的探索和挖掘，以求得非刚性变形的未知参数。

This paper discusses the necessary and sufficient conditions of normed linear spaces equading reflexive space and the relationship between reflexibility and weakly compact.

讨论了赋范线性空间为自反空间的充分条件和必要条件，并讨论了自反与弱紧的关系。

Chapter 3 discusses the algebraic and spectral properties of dual Toeplitz operators on the orthogonal complement of the Bergman space, such as boundedness, compactness, spectral properties and so on.

第三章研究了多圆盘Bergman空间的正交补空间L_a~2(D~n~⊥上对偶Toeplitz算子的代数性质，比如：有界性、紧性和谱性质等。

The symmetric property and compact support are incompatible for orthogonal wavelets in function space, whether the properties of discrete orthogonal wavelets can be compatible is still unknown.

函数空间中正交小波的对称性和紧支性不能兼容，而离散空间中正交小波的性质能否兼容仍然是一个未知的问题。

Its main goal is to explore information relating to the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other important problems such as the Novikov conjecture, the Baum-Connes conjucture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature and so on.

其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）大尺度几何结构的信息，建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Baum-Connes猜测， Gromov-Lawson-Rosenberg正标量曲率猜测等。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。