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。

This paper researches the part third-order contact condition of tool and the surfaces by the contact principle of deferential geometry in to the 5-axis NC machining and analyzes the contact degree of the intersection line of the cutter and the surfaces.

运用微分几何中的切触原理，研究了在多轴数控机床中铣刀铣削圆与零件曲面的切触条件和局部坐标系下的局部三阶切触条件，并用截形对铣刀铣削圆与曲面的贴近程度进行了分析。

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。

One of its main goals is to classify topologically, or even metrically, manifolds with certain geometry conditions on, say, curvature, volume, diameter.

二十世纪三四十年代发展起来的整体微分几何，其中的一个重要部分是讨论流形的曲率是如何影响流形的拓扑乃至度量性质。

The result not only enriched the theory of minimal surface in differential geometry, but also enhanced the application of minimal surfaces in CAD systems.

本研究不仅丰富了微分几何中的极小曲面理论，对极小曲面在CAD系统中的应用也有重要意义。

This article sets up a state equation of reactor power control, making- use of the differential geometry theory of modern cybernetics, and applying this theory to deal with the non-linear neuclear dynamics model .

本文建立了反应堆功率调节系统的状态方程，运用现代控制理论中微分几何理论对非线性核动力学模型进行线性化处理，根据观察器理论，构造了状态变量C的观察器，研究了在反应堆功率和反应性两种扰动下反应堆全反馈功率调节系统的品质。

First of all,by use of the modern differential geometry and the double complex functionmethod,the definitions of dual and self-dual operators as well as ordinarycomplex Ashtekar connections are extended into parametric forms.

首先利用现代微分几何和二重复函数方法将对偶，自对偶算符的定义以及普通复阿西特卡联络推广为参数化形式。

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。