| 1. | These are two interesting problems in geometric analysis on manifolds and they have attracted a lot of attentions
这两个问题在几何分析中占有相当重要的地位，很久以来一直都是人们关注的焦点问题之一。 |
| 2. | Helgason ' s books differential geometry , lie groups , and symmetric spaces and groups and geometric analysis , intermixed with new content created for the class
这份讲稿除了在关于拓扑群的某些细节以外都是自封的。 |
| 3. | The laplacian on riemannian manifolds is an essential linear operator , and it is also the main object to be studied of geometric analysis on manifolds
Riemann流形上的laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。 |
| 4. | By means of geometric analysis of belt deformation in transition section , the paper introduces how to calculate the length in transition section , with considering extension ratio of belt and the difference between head a and tail of extension section
本文通过对过渡段输送带变形的几何分析，综合考虑输送带伸长率以及头尾过渡段区别，给出圆管带式输送机过渡段长度的理论计算方法。 |
| 5. | Based on image sparse representation , researched the background , development and non - linear approximation of the multiscale geometric analysis , and respectively analyzed the advantages and disadvantages . finally , pointed out the developing direction
摘要以函数的稀疏表示为主线，详细介绍了各种多尺度几何分析产生的背景、发展历程和逼近性能，并分析了它们各自存在的优缺点，最后指出了其发展方向。 |
| 6. | A detailed geometric analysis of obstacle detection system for alv was presented by considering the safety requirements of alv . the ranging error caused by various environmental factors and inevitable vibration of alv was discussed as well
然后将障碍检测子系统和alv整体结合在一起，从系统的角度对障碍检测的要求进行了分析，并讨论了各种环境因素和alv车体运动对lms激光测距雷达测距造成的误差影响。 |
| 7. | A method is presented to find these stretchy members and calculate their length in folded state . the result of the geometric analysis of the model made in my lab is presented . the impact response produced by the tension springs in the diagonal members is very serious and a stowing mechanism is designed for the control of the impact
由于可展天线结构展开动力来源于对角杆中拉伸弹簧，所以结构在展开过程中冲击力比较大，为了控制其展开速度，同时为了完成天线的收拢过程，需要电机来进行控制，本文提供了一种电机控制机构的设计方案。 |
