微分几何

分析了Freeform型铣齿机上用成形法加工延伸外摆线锥齿轮时的齿面微分几何结构。

The differential structure of extended epicycloid bevel gear tooth surface is analyzed when formatted on free-form bevel gear milling machines .

3维AntideSitter空间中子流形的局部微分几何

On Local Differential Geometry of Submanifolds in Anti de Sitter 3-space

本文提出了一种基于微分几何反馈线性化理论的非线性H∞控制设计方法，并对这种方法的干扰抑制性能给予了讨论。

This work introduces a kind of design method of nonlinear H ∞ control and discusses its performance of disturbance attenuation .

结合微分几何和李群方法的优点，设计了一种非解耦的新型三维（3D）制导律。

This article proposes a non-decoupling three dimensional ( 3D ) robust guidance law by combining the advantages of the differential geometry control and Lie-group control methods .

微分几何法与逆系统法在TCSC稳定控制中应用

Differential Geometric Method and Inverse System Method Applied to TCSC Stability Control

利用微分几何相关知识建立了内外环的双曲面等距曲面及滚柱的几何模型，求解出其接触线为直线并用MATLAB进行了理论验证。

Establish geometry model of hyperboloid clutch with rollers with differential geometry . We know that the line of tangent is beeline and validate it with Matlab .

曲率pinching问题是整体微分几何中很重要的一部分。

Curvature pinching problem plays an important role in global differential geometry .

解KdV方程的微分几何方法

A Differential Geometrical Approach for the Solution of KdV Equations

本论文主要使用Lyapunov函数方法，微分几何方法研究几类非线性切换系统的稳定性及H∞控制问题。

This dissertation studies stability and H_ ∞, control problems for classes of switched nonlinear systems . Lyapunov function method and differential geometry method are two major methods adopted in the study .

本文给出一类带由边界的调和映射的Liouville型定理，这种类型的定理在微分几何的一些问题中有十分重要的应用。

We give some Liouville type theorems of harmonic maps which solve some free boundary problems .

微分几何中的Rodrigues方程及其教学

Rodrigues Equations in Defferential Geometry and its Teaching

在近代微分几何和数学物理的研究领域中，Clifford代数起着越来越重要的作用。

In the area of modern differential geometry and mathematical physics , Clifford algebra is now known to play a more and more important role .

在微分几何中我们主要利用曲率κ，挠率τ和Frenet标架等来考虑。

We utilize the curvature κ, torsion r , Frenet frame in differential geometry .

本文将现代微分几何中著名的Cartan引理，推广到二次外形式空间（？）~2（V~），得出两个定理。

In this paper , we generalize the Cartan 's lemma to ∧ 2 ( v ), and obtain .

自H.Hopf研究紧李群同调时提出了Hopf代数概念之后，人们发现它与李代数、微分几何、代数拓扑及统计物理具有广泛的联系。

When H.Hopf studied the homology of compact Lie group , he gave the concept of Hopf algebra .

本文在查阅大量与蜗杆和CNC齿轮测量中心有关的国内外科技文献的基础上，利用微分几何和空间立体几何的相关知识建立了多种常用圆柱蜗杆的理论模型。

In this paper , referring to great lot of scientific and technical literatures about worm and CNC , establish mathematical model of cylindrical worm on the basis of the differential geometry and three-dimensional geometry of space-related knowledge .

该文基于微分几何理论，在建立三相电压型PWM整流器仿射非线性模型基础上，提出其状态反馈精确线性化非线性控制策略，实现了三相电压型PWM整流器无功功率和有功功率的解耦控制。

Based on the feedback linearization theory of differential geometry theory , an affine nonlinear mode of three phase voltage source PWM rectifier in the rotating frame d-q is set up by applying impulse mode integral method .

利用微分几何和非线性系统控制理论，研究由控制输入驱动的混沌Colpitts振荡器系统的控制问题。

Chaotic Colpitts oscillator systems are studied by using the theories of differential geometry and nonlinear control systems .

张量的概念是十九世纪由Gauss，Riemann和Christoffel等在微分几何的研究中提出的。

The concept of tensors was introduced by Gauss , Riemann and Christoffel , etc. , in the 19th century in the study of differential geometry .

通过深入地研究二维、三维图形的微分几何关系，在沿z方向得到每一层的边界曲线基础上，采用曲线包络的方法得到了三维工作空间曲面的形状。

Through the in-depth study of the differential geometrical relationship between the 2D graph and 3D graph , the shape of the 3D workspace surface was obtained by enveloping the boundary curve of every layer along the z-axis direction .

对非线性控制系统的直接反馈线性化（DFL）方法与微分几何反馈线性化方法进行了比较研究。

Comparison between the direct feedback Iinearization ( DFL ) theory and the differential geometric feedback linearization theory for nonlinear control systems is presented .

利用边界点的微分几何特征，提出散乱点云自动分割方法，有效提取噪声点云的D0、D1和D2边界带。

Using the differential geometry property of edge points , an automatic segmentation algorithm is presented to extract the D0 , D1 and D2 edge strips from noisy data .

本文以微分几何为工具，应用一致性几何绕射理论（UTD），导出了有限长金属圆锥柱侧天线三维辐射场的计算公式。

A formula is developed to calculate 3-D radiation field of antennas on the finite truncated cone - cylinder by applying the UTD and differential geometry .

提出的方法主要基于以下两条途径：其一，微分几何方法提取线性结构的中心线；其二，基于主动轮廓模型（又被称为Snake）的道路边界提取。

Proposed method is based on two previously developed approaches : the first one is the differential geometric approach to extract linear features ; second one is road contour extraction based on Active Contour Models ( also known as Snake ) .

提出了一种改进的坐标变换，使得微分几何方法可直接应用于求解静止同步串联补偿器（SSSC）非线性控制策略。

An improved coordinate transform is proposed and then the differential geometry approach can be directly used to obtain the nonlinear control strategy of SSSC .

针对PCA、ICA特征提取方法，基于微分几何的数学理论，综合考虑了雷达目标距离像识别中的特征提取与分类识别，提出基于黎曼度量的最近中心邻分类器。

Put forward Riemannian metric-based nearest center neighbor classifier ( RMNCC ) on the basis of differential geometry , correlating the feature extraction based on PCA and ICA and classification in radar target recognition on the foundation of mathematics .

介绍了自由曲面形状分析理论.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。

It introduced differential surface geometry as the theoretical base of free-form parameterized surface shape analysis , summed up the analysis techniques , analyzed the characteristics of the surface analysis tools in some well-known CAD software packages , and showed their lack of capabilities in globally analyzing surface shapes .

用微分几何理论和D-H法研究了2R-1P3R双臂机器人用于异形石材加工的速度协调和加速度协调，导出了由工艺给定的切削加工速度求解各关节运动速度和加速度的计算公式。

In this paper , velocity harmonization and acceleration harmonization of a2R-1P3R two-arm robot have been studied for special-shaped surface stone with the differential geometry theory and D-H method .

可积系统在微分几何中的某些应用与S～（n+1）中M（？）bius形式为零的超曲面

Some Applications of Integrable Systems in Differential Geometry and Hypersurfaces in S ~( n + 1 ) with Zero M (?) bius Form

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。

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.