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This paper mainly study the relations between some algebraic properties of Roe algebras and the coarse geometry of metric spaces, and its applications to the reduced crossed product C-algebras and the coarse Baum-Connes conjecture.

本文主要研究这类C~*-代数的某些性质与底空间几何之间的联系及其在交叉积C~*-代数和粗Baum-Connes猜测中的应用。第一章研究交叉积C~*-代数的Schwartz型谱不变子代数。

To mathematically characterize the deformation of the middle surface of a shell, the metric tensor and curvature tensor ought to be investigated in detail.

为了从数学角度更好地描述壳体中性曲面如何变形，通过渐近分析和张量分析，给出了当壳体中性曲面发生形变时度量张量和曲率张量改变量的完整表达式。

Decameter :a metric unit of length equal to 10 meters.

"十米：长度的公制单位之一，等于十米。"

Decameter a metric unit of length 10 meters .

"十米：长度的公制单位之一，等于十米。"

Design process modelling is another important area of CAD techniques. In chapter 9, by numeric analysis, composite/decomposite of design objects and metric space, we discuss the quantity feature of design process in detail, which ground the qualitative reasoning in design process.

设计过程建模是CAD技术的又一重要课题，在第九章中，作者运用数值分析的手段，通过设计对象的组合分解，引入距离空间的概念，对设计过程中的定量性作了详细分析，这一分析过程为设计过程建模后续的定性推理提供了坚实的基础。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

Universal gearbox allows inch, metric, diametral,and module pitch threads without changing gears.

通用变速箱允许英寸，公制，直径，螺距螺纹和模块不改变齿轮。

It can turn inner and outer cylindrical surfaces, taper surface, other swing and end surfaces, and also can process metric, inch, diametrical and module threads, drill and ream holes, broach oil groove. It is widely used in the lines of machinery, electronics, equipment, meter, light-duty industry and medical for single or mass production, and can also be used as household tool.

它可车削内外圆柱面、圆锥面和其它回转面及端面，能够加工公制、英制、径节、模数螺纹，也能钻孔、铰孔、拉油槽等，因而广泛适用于机械、电子、仪器、仪表、轻工、医疗等行业的单件或小批生产，也可作为家庭工具使用。

We use discrete Ricci flow to find these two special metric from special prescribed target curvature.

这些度量是通过对目标曲率进行特殊的设置，然后由离散的Ricci流计算而得。

In this paper, we introduces discrete Ricci flow as an efficient and powerful mathematics tools, by which we can computer conformal metric and conformal structure of the surface.

本文引入离散的Ricci流方程这个强大的数学工具，成功地计算出了曲面的共形度量和共形结构。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。