空间

In the fourth chapter,first of all,a metric space is derived by the Loeb measure space which is a standard measure space,follow that the Completeness,separability and the Baire theorem are expressed.

第四章中，首先由Loeb测度这个标准测度空间导出度量空间，接着讨论了该度量空间的完备性和可分性以及其Baire定理(来源：A8525B52C论文网www.abclunwen.com)。

The necessary and sufficient condition which fundamental and total biorthogonal system in Banach space Schauder basis are provided.

本文利用BK空间的理论讨论了乘子空间M的性质，给出了Banach空间X上基本完全的双正交系成为Schauder基的充要条件。

Next,it proves that if E is a barrelled space and F〓 is a locally convex space,Kis all the compact operators of L,then the weak operator topology and the uniformly operator topology have the same sub-series convergence series in Kif and only if 〓 contains no copyof 〓.

其次又得到，若E是桶型空间，〓是局部凸空间，那么紧算子空间K中弱算子拓扑与一致算子拓扑具有相同子级数收敛的充要条件是〓不拓扑同胚地包含〓。

The dissertation puts forward the base circle's pressure angle method to calculate the instantaneous meshing efficiency of SCM, analyzes the factors affecting instantaneous meshing efficiency and further improves the design theory of SCM.

在对空间凸轮机构进行受力分析的基础上，提出了计算空间凸轮机构瞬时啮合效率的基圆压力角法，分析了影响瞬时啮合效率的因素，进一步完善了空间凸轮机构的设计理论。

The new method of the singular value decomposition is used to calculate the eigenvalue of embedding space matrix , and the corresponding algorithm to calculate eigenvectors and to obtain the basis of embedding vector space is put up in this paper.

应用本征值分解技术对动力系统实测数据嵌入空间矩阵的本征值进行了计算，提出了具体计算嵌入空间矩阵本征值及其本征向量的改进计算方法，以及嵌入空间矩阵基的改进选取方法。

There is a bijection between the set of all the projections on Hilbert space H and the set of all the closed subspaces of Hilbert space H.

我们都知道Hilbert空间上的正交投影和Hilbert空间的闭子空间是一一对应的。

The new problems and challenges appearing in the nonlinear applicationes are solved, which makes subspace identification more applicable to the modeling and control of industrial process. With regards to bilinear system, a major drawback is that the subspace identification methods induce enormous dimension of the data matrices, which grows exponentially with the increase of the model order.

针对两类特殊的非线性系统，双线性系统和分段线性系统，从子空间辨识的设计与实现出发，提出新的辨识算法，解决子空间方法应用于非线性系统辨识遇到的新问题，使得子空间方法在工业过程的辨识与建模中具有更强的实用性。

In this paper,singularity is used to study the classification of singularities of the binormal curves and focal surfaces of a spacelike in Minkowski 3-space,and also establish the relationships between singularities of these and geometric invariants of curves under the action of Lorentzian group.

应用奇点理论方法对三维Minkowski空间内由空间型曲线生成的副法线标型和可展焦曲面的奇点进行了分类，并且研究了在Lorenzian群作用下的空间型曲线的几何学不变量同这些奇点之间的关系。

Utilizing the theories of BK spaces and multiplier spaces, this paper discuss the necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces which don t contain copy of is unconditional basis .

本文利用BK空间和乘子空间的性质，讨论了在不含C0 的C0py的Banach空间上基本完全的双正交系成为无条件基的充要条件。

To construct a wall is to bisect a space into 0 and 1, however0 and 1. I like to create an in-between-space, therefore myvery simple but looks complex due to its geometric form.

建造一堵墙犹如把空间分成0和1，然而空间本质上在0与1之间是存在着许多灰色阶层的，我想要创造出属于中间层的空间，因此我的作品都是很基本的（我有一个项目，原理很简单但看起来很复杂，原因在于其几何构成）。

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。