微分几何

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained.

近20年来，由于微分几何等数学工具的引入，非线性控制系统的理论取得了长足的进展［1］，其中包括仿射非线性系统的精确线性化［2～4］。

In mathematics this conjecture is that the extrinsic geometric properties onsubmanifolds in AdS-space have corresponding Gauge theoretic geometric propertiesin its ideal boundary.

如果用数学的语言来解释AdS／CFT对应则为：AdS-空间中子流形的微分几何性质与AdS-空间中理想边界上的规范场论的几何性质是相对应的。

Contemporary differential geometry is intrinsic , meaning that space is a manifold and structure is given by a Riemannian metric , or analogue, locally determining a geometry that is variable from point to point.

微分几何，这是简单的几何的曲率，已越来越重要，因为对数学物理的建议空间不是平坦的空间。

Introducing the fundamental knowledge of modern differential geometry, we present the geometric descriptions of Lie symmetry of the system.

将现代微分几何知识引入机电动力系统，给出该系统Lie对称性的几何描述。

The geometrical frameworks for constrained mechanical systems are stud-ied with the help of modern differential geometry in this thesis.

本文用现代微分几何方法研究约束力学系统的几何结构。

The authors' intention is that the reader should gain a new understanding of geometry from the process of reading this survey 2~In this volume of the Encyclopaedia, the authors give a tour of the principal areas and methods of modern differential geometry.

作者的意图是读者应该获得一个新的理解几何的阅读的过程中该调查2 ~在这本书中，作者给出了百科全书的主要领域和现代微分几何。

The interpolate algorithms of three-order NURBS curve and double three-orders NURBS surface are presented. The expressions of partial derivative and normal curvature of NURBS surface are derived by the theory of differential geometry. The geometric characteristics of different curvature area of the free-form surfaces are analyzed in detail. All these work lays a theoretical foundation for constructing the cutter location calculating model of free-form surfaces NC machining. 2 On the basis of analyzing the methods of cutter path generation, the standard of evaluating the various methods of cutter path generation is presented. The method of generating cutter path with constant scallop height is presented for the first time.

本文以提高复杂曲面多坐标数控加工精度和加工效率为目的，在对国内外研究现状进行深入分析的基础上，对数控编程中各环节的关键技术问题进行了深入研究，主要内容包括以下几方面： 1 分析了复杂曲面各种造型方法的优缺点，给出了根据各种边界条件所确定自由曲面的NURBS表示方法以及三次NURBS曲线曲面反算算法；用微分几何理论推导了NURBS曲面的偏导矢及法曲率计算表达式；对曲面不同曲率特性区域的几何特征进行了深入分析，为建立复杂曲面的数控加工刀位计算模型奠定了理论基础。

Besides having a some insight into theinternal structure of operator algebras,it gives a greatimpetus to the development of modern mathematics towords thenon-commutative direction,especially to the developement ofnon-commutative geometry,non-commutative algebraical topologyas well as non-commutative algebraical geometry.

除了反映算子代数自身的内在性质之外，它还对于现代数学朝着非交换的方向发展起着积极的推动作用，特别对于&非交换微分几何&，&非交换的代数拓朴&，甚至&非交换的代数几何&等非交换的数学学科的发展具有重要的影响。

Based on the differential geometry, mechanical system dynamics, theoretical mechanics, strength of materials and elasticity theory, we made the study for the enwinding system in the roller of the ZJ70D rig. Finally, we solved the equations in the computers.

本文依据微分几何、机械系统动力学、理论力学、材料力学及弹性力学等基础理论，对钢丝绳在LEBUS绳槽滚筒缠绕行为进行了几何、动力学及静力学等方面的研究，并基于ZJ70D钻机结构参数进行求解。

Many differential geometry concepts can beintroduced into the research of structural geology.

古典微分几何研究的是曲线曲面的局部性质和几何不变性，内容十分丰富。

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。