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.
应用微分几何理论，导出了等距曲线的方程，证明了它是具有任意两条平行切线之间距离都相等的卵形线。
Equation about isometric polygon curve is set up with differential geometry theory. The curve is proved to be convex curve which the distance between any parallel tangent lines is equal.
应用微分几何理论，给出了圆锥螺旋铣刀几何特性，据此导出了三维非线性铣削力模型，继而采用非线性规划识别切削力系数。
This paper sets up an instantaneous cutting force model for a spiral cylinder cutter by analyzing the linear relationship between micro-unit milling force and instantaneous uncut chip thickness.
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.
几何，三角，微分，积分，圆锥曲线，微分方程，和他们的多维和多元——这些都有重要的应用。
Geometry, trigonometry, differentiation, integration, conic sections, differential equations, and their multidimensional and multivariate versions - these all have important applications.
进一步应用基于微分几何的反馈线性化方法，将原非线性系统等价为完全可控型线性化模型。
By means of the feedback linearization procedure of differential geometry, an equivalent, fully controllable and linear model was derived via a homomorphic transformation for the AMT clutch system.
最直测地线有更完整的微分几何定义和理论系统，在图形学领域内，对它的研究和应用还比较少。
Straightest geodesics are with intact differential definition and theory system, but related study and application in graphics is very few now.
但是，由于抽象的微分几何理论缺乏面向非线性控制的系统理论，且它必须依赖于系统的精确数学模型，这严重制约了它在实际工程中的广泛应用。
However, the abstract differential geometric method is lack of system theory for nonlinear system and relies on the precise of the system, which to some extent limited its application.
本文根据植物根系的几何特征，结合植物根系的生长函数，探讨了微分l系统理论在植物根系模拟中的具体应用。
According to the geometric character of the plant root systems, the method was designed to simulate the continuous growth of the plant root systems with differential L-systems theory.
从事微分几何，复几何，几何分析方面的研究，主要为几何热流及其在几何拓扑中的应用。
My main research interests are differential geometry, complex geometry, and geometric analysis, the speciality is the geometric heat flows and its applications in geometry and topology.
本文介绍近年来非线性统计的若干新进展。着重说明微分几何方法对于非线性统计推断的应用。
Some new development of nonlinear statistical analysis is reviewed in this paper with emphasis on using differential-geometry methods to the nonlinear statistical inference.
本文介绍近年来非线性统计的若干新进展。着重说明微分几何方法对于非线性统计推断的应用。
Some new development of nonlinear statistical analysis is reviewed in this paper with emphasis on using differential-geometry methods to the nonlinear statistical inference.
应用推荐