微分几何

The theory of rectilinear congruence is an important field in differential geometry.

直线汇理论是古典微分几何的一个重要研究领域。

Based on differential geometry and spatial engaging theory,a set of formula of conical surface double enveloping worm gearing had been derived and its figures,position and distribution had been depicted by graphs.

以微分几何与空间啮合理论为基础，推导了锥面二次包络圆柱蜗杆传动两次包络过程中的啮合方程和主要啮合性能指标方程，以图直观的表示出其形状、位置和分布状况。

Firstly, the development of the spherical robot is introduced and according to the knowledge of the research forepassed, the nonholonomy and the nonlinear controllability for a spherical robot based on the principle of angular momentum conservation are discussed with the differential geometric control theory.

首先介绍了球形机器人的发展状况，在了解前人研究领域的基础上，应用微分几何控制理论，对此角动量守恒的球形机器人的非完整性和非线性可控性进行了研究。

Based on the previous work of other researchers, we presented the definition of global convex: a surface is globally convex if it happens to be the surface of a convex body or part of the surface of a convex body.

曲面微分几何，总结了自由曲面形状分析技术手段，对著名CAD软件中曲面分析工具特点进行了简要分析，指出了它们对曲面全局形状分析能力的不足。

This paper puts forward a united Laplacian transform which is based on the differential geometry curve coordinate system,the practical numerical experiment results show that this method has a strong edge detection ability and produces the better effect compared with old method.

该文采用基于微分几何曲线坐标系下普遍的Laplacian算子进行边缘检测，从结果可以看到处理效果明显优于普通的方法。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

Chapter 2 introduces some propaedeutics of classic differential geometry, which include the first basic form, the second basic form, normal curvature, main curvature, mean curvature, Gauss curvature, unit normal vector, main vector, etc.

第二章介绍一系列的预备知识，主要是关于古典微分几何中第一，第二基本形式的定义，法曲率，主曲率，平均曲率，Gauss曲率，单位法向量，主方向等的定义。

It is based on the discrete model of finite analysis to get curvature ,normal vector, direction and geodesic curve,then to analyze and design the structure.

基于有限元分析的离散模型，将离散微分几何领域的最新成果运用于膜结构设计，求解曲面曲率，法向量，主方向及测地线，进行结构分析设计。

Professor Chen Xingshen made distinguished contribution in Integral differential coefficient , that influenced development of the whole mathematics.

陈省身教授在整体微分几何上的卓越贡献，影响了整个数学的发展，曾先后主持、创办了三大数学研究所。

The centerline of elastic rod or elastic filament can be abstracted as space curves to deal with them by the knowledge of the theory of space curve and differential geometry.

由于弹性杆的中心线或弹性细丝可以抽象成空间曲线，然后根据空间曲线论和微分几何的知识进行处理。

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。