查询词典 differential geometry

Based on the theory of gearing and differential geometry, a series of geometric relationships between conjugate tooth surfaces are analyzed, basic relationships of normal curvature as well as geodesic torsion between conjugate tooth surfaces are derived mathematically for the most general form of gearing .

作为上述理论的具体应用，研究了准双曲面齿轮传动两齿面之间在给定参考点处的法曲率、短程挠率的关系。

We studied the global differential geometry of Riemannian manifolds and submanifolds including minimal submanifolds, constant mean curvature submanifolds, complex submanifolds and symplectic submanifolds, etc..

研究黎曼流形及其子流形的整体微分几何性质，包括研究极小子流形、常平均曲率子流形、复子流形和辛子流形等。

In the base of above research, establish movement model of hyperboloid clutch with rollers and find the relation between force of outer race and moment of inner race. I establish mechanics model of hyperboloid clutch with rollers with differential geometry.

在上述研究的基础上利用运动转化原理建立了内外环与滚柱之间的运动模型，并利用微分几何的相关知识通过对施加在外环上的主动轴向力的分解及合成，求的其在内环上所产生的力学反应，建立双曲面滚柱加载器力学模型。

Based on the source investigation and the comparative approach of history of mathematics,a historical background of Gauss competition essay and its contribution to intrinsic differential geometry are discussed.

运用文献分析研究和数学史比较研究方法，分析了高斯哥本哈根获奖论文产生的历史背景及其对内蕴微分几何学的贡献。

Based on the source investigation and the comparative approach of history of mathematics,a historical background of Gauss' competition essay and its contribution to intrinsic differential geometry are discussed.

高斯(C.F.Gauss，1777-1855)研究微分几何的出发点是"我们是否可以从曲面本身的度量出发决定曲面在空间的形状"[1]，这就是所谓的内蕴微分几何。

By using the Lie group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the necessary conditions and the structure equations of extremal trajectories are proposed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

Locally projectively flat manifolds;equiaffine differential geometry;projective Blaschke manifold

局部射影平坦流形；等仿射微分几何；射影Blaschke流形

It is based on the least square method and the characteristics of loxodrome normal circular arc spiral bevel gear and combined with the theory of differential geometry.

基于最小二乘法并结合微分几何理论，针对斜航式法向圆弧锥齿轮的特点，提出了一种适合Bertrand齿廓面检测时测量点的回归法。

Then, the first and second fundamental forms, Gaussian curvature and mean curvature of the surfaces are directly calculated according to the principles of differential geometry.

首先，根据微分几何中的基本知识，得到了该种度量形式下的平移曲面的第一、第二基本形式以及高斯曲率和平均曲率；然后，主要利用高斯曲率和平均曲率之间的线性关系和平方关系，得到了这类平移曲面的分类定理。

The theoretical analysis and simulation results show that, based on the differential geometry of the chaotic controller not only can eliminate the chaotic oscillation, but also be able to control the system to any given orbit, the effect was better than the traditional method of linear approximation.

分析和仿真结果显示，基于微分几何方法设计的控制器，不仅能够消除混沌振荡，而且能够把系统控制到任意给定轨道上，控制效果明显优于传统近似线性化方法。

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。