微分几何理论导出了格林方程。
这种类型的分化，是常用的古典微分几何。
This type of differentiation is commonly used in classical differential geometry .
平面上等周问题是微分几何的基本问题之一。
The isoperimetric problem is one of the basic differential geometric problems.
直线汇理论是古典微分几何的一个重要研究领域。
The theory of rectilinear congruence is an important field in differential geometry.
黎曼流形运动群的研究是微分几何中一个重要问题。
Research of the group of motions in Riemann manifold is an important question of the differential geometry.
在局部微分几何中，圆柱螺线是很重要的一种曲线。
In local differential geometry, the cylindrical spiral is a very important curve.
这种控制器的设计结合了微分几何理论及变结构控制理论。
Design of these controllers combines the differential geometry theory with the variable structure control theory.
复几何；微分几何；低维几何；非交换几何（英文影印版）
Encyclopedia of Mathematical Physics, Complex Geometry; Differential Geometry; Low Dimensional Geometry; Noncommutative Geometry.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
数量和空间在解析几何，微分几何和代数几何中都发挥作用。
Quantity and space both play a role in analytic geometry, differential geometry, and algebraic geometry.
对于初学者进行微分几何应用方面的了解和研究有一定的帮助。
For beginners to differential geometry of the understanding and application of research to a certain extent help.
运用微分几何的方法分析了存在于并联机构中的各种奇异位形。
This paper analyses the various singular configurations of parallel manipulators using differential geometry.
微分几何中的曲面论，用两个变量就可以完全参数化一个二维曲面。
According to surface theory in differential geometry, the two-dimensional surface is parameterized by two variables.
目的系统探讨和分析蒙日几何学派和高斯几何学派的微分几何思想。
Aim To systematically discuss and analyze Monge′s and a Gauss′s differential geometry thought.
子流形高斯像的几何与拓扑是整体微分几何领域的重要研究课题之一。
It plays an important role in global differential geometry to study the geometric and topological properties of Gaussian image of submanifolds.
非线性系统的微分几何理论是目前研究非线性系统控制的一个重要方法。
Differential geometry method is an important approach in the researches of control of nonlinear system.
利用微分几何方法研究了一类非线性多输入多输出时滞系统的解耦问题。
The decoupling problem for a class of nonlinear MIMO time-delay systems is studied with differential geometric method.
对采用微分几何方法设计永磁同步电机转速控制器的可行性进行了研究。
The feasibility of designing controller for control permanent-magnet synchronous motor speed is proposed by using differential geometry theory.
本文利用整体微分几何的方法研究了人造卫星的轨道控制和姿态控制问题。
The orbit control and attitude control problems of satellite have been studied in this thesis by use of global differential geometry method.
目的分析与研究高斯关于非欧几何的研究和内蕴微分几何思想之间的联系。
Aim To study the relations between the thought of Gaussian intrinsic differential geometry and Gauss's earlier research on non-Euclidean geometry.
基于近代微分几何理论与李代数之上的非线性控制理论形成了一新的理论分支。
Based on modern differential geometric approach and Lie algebra, nonlinear control theory has formed a new theoretical branch.
微分几何包含这样的概念：纤维束和流形上的微积分，特别是矢量与张量微积分。
Within differential geometry are the concepts of fiber bundles and calculus on manifolds, in particular, vector and tensor calculus.
众所周知，对于一般非线性系统的控制。微分几何法是实现局部镇定的经典的方法。
For general nonlinear control systems, it is well-known that the differential geometry method is a type of classical method to realize local stabilization.
这种方法极大地简化了分析和演算，并为应用微分几何控制方法打下了必要的基础。
The approach largely simplifies the system analysis, and build a necessary basis for the application of differential geometric methods.
基于微分几何和空间啮合理论，分析了修正型圆环面双包络环面蜗杆副齿面形成原理。
Analysis of the forming principle of tooth flank of modified type worm gear pair was based on different geometry and spatial engaging theory.
关于两段正则曲线在公共节点处的几何连续性的问题可以从微分几何和代数的角度考虑。
The geometric continuity of two regular curves at the connection point can be discussed from differential geometry and Algebra.
利用曲面的微分几何特性，基于禁忌搜索算法，提出一种新的船体外板曲面形状误差评定方法。
Based on the characteristics of differential geometry and the tabu search algorithm, a new method for the profile error of ship hull plate processing surface is presented.
在微分几何定理证明中，一个定理成立的辅助条件(非退化条件)不是惟一的，但越简单越好。
The subsidiary conditions (or called non-degeneracy conditions) are not one and only that a theorem holds in differential geometry theorem proving.
利用微分几何和啮合原理推导出该机构的点啮合的诱导曲率方程，给出了接触域大小的计算公式。
With the differential geometry and engagement theories, induced curvature formulas of point engagement were deduced, and the formula of the local contact areas was given.
利用微分几何和啮合原理推导出该机构的点啮合的诱导曲率方程，给出了接触域大小的计算公式。
With the differential geometry and engagement theories, induced curvature formulas of point engagement were deduced, and the formula of the local contact areas was given.
应用推荐