查询词典 sphere bundle

Let x be an immersion of a compact Willmore surface M into the n-dimensional unit sphere Sn. In this thesis we first consider the Willmore surfaces in the unit 3-sphere, and establish an integral inequality for the square of the length of the trace free part of the second fundamental form and the mean curvature.

令x是一个从紧致威尔摩曲面M到n 维单位球面Sn的浸入，在本论文中我们首先考虑3维单位球面中的威尔摩曲面并建立一个包含第二基本型式迹为零部份的张量长度平方与平均曲率之积分不等式。

For the self-aligning outer ring and the seat rings between the holes, there is a sphere with the outer ring to match the outer surface of the inner surface of the sphere.

用于调心外圈与座孔间的套圈，有一个与外圈的球形外表面相配的球形内表面。

Poincaré, almost a hundred years ago, knew that a two dimensional sphere is essentially characterized by this property of simple connectivity, and asked the corresponding question for the three dimensional sphere (the set of points in four dimensional space at unit distance from the origin).

大 约在一百年以前，庞加莱已经知道，二维球面本质上可由单连通性来刻画，他提出三维球面（四维空间中与原点有单位距离的点的全体）的对应问题。

I think that a successful old age is easiest for those who have strong imper sonal interests involving appropriate activities. It is in this sphere that long experience is really fruitful, and it is in this sphere that the wisdom born of experience can be exercised without being oppressive.

我觉得一个人能做到对合适的活动兴趣盎然、不理会自己的个人得失，那么，他就很容易享有成功的晚年，因为经过长期积累的经验在此可以结出累累的硕果，而经过经验产生的智慧在这个时候既有用武之地，而又不至咄咄逼人。

First, points being shaded within the sphere need to be converted from world space coordinates to object space coordinates relative to the sphere.

第一，在球上的被着色点需要去从世界坐标转换到相对于球体的物体空间坐标。

The formulation for the contact force between two spheres and the stress and displacement which is caused because of the contact force is also derived. The calculation method of the contact of sphere and plane, sphere and tee is given .At the same time, the formulation for the force distribution of the contact surface is established on the discussion of two arbitary elastomer's contact.

第二章以《弹性力学》理论为基础，详细地介绍了接触单元理论，导出了两个球体之间的接触压力及由此引起的应力和变形，给出了球体与平面相接触、球体与球座相接触的计算方法，同时，对于两任意弹性体接触的讨论，得到了接触面上压力分布的公式。

The curvature radius of optical sphere is an important parameter to determine the properties of an optical sphere. The measurement result of the spherical curvature radius can be used to assess the quality of an optical component.

光学球面曲率半径是决定光学球面光学特性的重要参量，通过测量光学球面的曲率半径，可以审核光学元件设计制造质量。

Based on the research on the scattering of the Gaussian beam from single sphere, the intensity distributions of LGB beam in different propagation distance is analyzed. Without considering the relationship of scattering and phase shift, the beam coefficients is gained by the solution of scattering cross section, and the LGB is expanded in terms of the vector spherical harmonics as fundamental Gaussian beam. The scattering of the beam with orbital angular momentum from single sphere located on the propagation axis is studied.

在单体球粒子对高斯光束散射研究的基础上，分析了在自由空间不同传输距离LGB光束的光强分布情况，在不考虑散射和波束相移关系的情况下，将LGB作为入射高斯光束，通过对波束入射时的散射衰减截面求解得到波束因子，利用矢量球谐函数对入射高斯波束进行展开，从而研究了单球粒子在在轴条件下对具轨道角动量高斯波束入射的散射问题。

Child growth and development in the eye, the eye grew from a small, axial length gradually increase, if the eyeball as a sphere, it has three axes, namely, longitudinal, transverse, sagittal axis, a sphere is the length of the three-axis equivalent.

儿童的眼睛在生长发育中，眼球由小长大，眼轴逐渐增长，如果将眼球看成一个球体，它有三个轴，即纵轴、横轴、矢状轴，一个正球体的三个轴的长度相等。

Unlike the traditional nation-state public sphere that is based on the concept of media and civil right, the global public sphere highlights the unit of international institution and NGOs and their interaction through the Internet.

以议题为导向的各种非政府组织及国际机构，是目前网路跨国论坛的主要参与者，因此也引领著网路朝向以议题为切割的「多元」全球公共领域发展。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。