等距

For H-type groups, explicit equations of shortest sub-Riemannian geodesies and a full characterization of the sub-Riemannian isometry groups are given in this dissertation.

对广义的Heisenberg群，本论文给出了最短次黎曼测地线的明确表达方程，并完全刻画了次黎曼等距群。

The term "isometry" has an advantage in that it can be used to treat the real and complex cases simultaneously, but for clarity we will often revert back to the more cumbersome " orthogonal " and " unitary " terminology.

参考译文：等距映射有一个优点是：它可同时用于研究实数和复数情况，要不是透明我们意志经常恢复到越多麻烦的正交和酉矩阵术语学。

The last section contains the foreign mathematician's work of so called"the asymptotic isometry copy"of classical Banach spaces of c〓, l〓 and l〓. Mainly of the results completed by P.

第五节介绍包含经典Banach空间c〓，l〓和l〓的渐进等距copy问题，主要介绍一些国外学者在这个问题上面所做的工作。

Secondly, for the spascial AF C* algebra-UHF algebra, I study the linear characterization of 2-local isometry on it: make use of the frame attribute, find the trace state of UHF algebra according to the one of matrix algebra and verify the 2-local isometry is linear.

充分利用UHF代数的结构特点，利用矩阵代数的迹态找到UHF代数的迹态，从而证明了2-局部等距的线性性质。

In this paper, the validity of sequential uniform design for monotone function by rate jump was point out.

本文进一步证明了"二维序贯均匀等距设计"对跳比单调函数类的有效性。

In the paper, on the basis of aggregation of previous studies, the development of optical technology and development trends at home and abroad are introduced, the principle of Fresnel lens is summarized. In accordance with its principle, circle equidistant steps Fresnel lens design is described. And on this basis, based on Fresnel design, also based on a continuous upward spiral of the plane curve concept, incidence surface and the backlight is set up to greet Archimedes - Fresnel lens design formula and the Second parabolic type Fresnel lens design formula, and on this basis, the advantages and disadvantages of the three designs is discussed.

本文在充分了解非球面光学技术在国内外的发展状况和趋势的基础上，同时从菲涅尔透镜的光学原理出发，并根据它的工作原理推导了圆环等距菲涅尔透镜的设计步骤，并在此基础上依据菲涅尔的设计思想，同时依据平面曲线的连续又呈螺旋的构思，推导出了迎光面和背光面阿基米德型菲涅尔透镜的设计公式和二次抛物面型菲涅尔透镜的设计公式，并在此基础上讨论了这三种设计各自的优缺点。

To reduce the traditional array size of four-component vector hydrophones and redundant components,a new direction of arrival estimation method was proposed using a uniform line array of two-component vector hydrophones.

为了减小传统四元矢量水听器阵的尺寸和减少冗余阵元，提出了采用等距二元矢量水听器直线阵的二维波达方向估计方法。

The maximum spherical-head cotter radius was obtained by computing the minimum curvature radios of the cavity surface, and the finish cutter locution data were computed using the equidistant offset surface method.

通过计算型腔曲面最小曲率半径，确定精加工时球头刀的最大允许半径；应用等距偏移曲面法计算出型腔曲面数控精加工刀位数据。

We analyze and compare the advantage and the weakness of these two algorithms, and apply the second method to the approximation of tensor product offset surface.

文中分析和比较了这两种算法的优缺点，并将第二种方法推广应用于求张量积等距曲面的逼近。

We consider Grassmann manifold G(2,8) as a submanifold of the unit sphere of /\2 which is the exterior vector space on Rn. Thus we have the induced metric and connection on G(2, n).

把Grassmann流形G（2，n）看作等距地嵌入在欧氏空间R~n上2-外向量空间∧~2中的单位球面上的子流形，得到它上面的度量和联络。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新