查询词典 differential geometry

Basic Mathematics has undergone an amazing evolution and born fruit on fields such as algebra, functional analysis, dynamic system, algebraic number theory and differential geometry.

基础数学的研究经过多年工作积累，在代数学、泛函分析、动力系统，代数数论，微分几何等领域在国内外有一定影响。

In this paper, the theory and approach of differential geometry are employed systematieally and the analytic expression of the nonlinear excitation eonrtol stratege is worked out.

由于电力系统强非线性的影响，当系统状态发生较大变化时，这些控制器的效果都难以令人满意。

The mechanics model of a ball screw was developed considering the factor of lead angle,and the main curvature of the helical surface was deduced using differential geometry method,and the effect of lead angle on the elastic deformation was analyzed.

考虑螺旋升角的因素，建立了滚珠丝杠副的受力模型，应用微分几何理论推导了螺旋面的主曲率，并进一步分析了螺旋升角对滚珠丝杠副弹性变形的影响。

Differential geometry is widely applied into the mechanics and engineering technology.

微分几何在力学和一些工程技术方面有广泛的应用，但在地质学中的应用还相对缺乏。

Because of its broad application in differential equation and differential geometry,this algebra was developed rapidly.

由于其在微分方程、微分几何等许多学科中的广泛应用使得该学科得以迅速的发展。

This course is meant to bring graduate students who will be using ideas from differential topology and differential geometry up to speed on these topics.

本课程的目的是让需要使用微分拓扑和微分几何的研究生能在这个方向上尽快入门。

It is impossible to logically infer the classically expressed geodesic differential equation from the ontology differential geometry. Besides, the initial proposition how to construct a functional extreme value problem for the shortest curve on a surface, which was supposed first by Gauss, would be an improper formal expression with a wrong premise.

不仅仅无法由"实体论"微分几何逻辑地推导出经典的测地线方程，而且Gauss曾经为"曲面上最短线"问题所构造的泛函极值命题，实质上属于一个"前提认定"完全错误的不当表述。

Firstly, the structure equations of the evolution surface family are derived, and some laws of the surface invariants evolution are obtained, based on modern differential geometry, especially, differential forms and frame field theory.

本文以微分形式、活动标架为工具，推导出演化曲面、曲线的结构方程，并重点研究曲面微分不变量、不变式、整不变量及标架的演化规律，给出了这些规律同演化速率函数之间的关系。

Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes.

~ 90年代初以来的工作、微分几何和黎曼高斯已经发展成一个巨大的网络的思想和方法，包括当地的因素，例如差不变量与喷气机以及全局观念，例如莫尔斯班原理和特点。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。