英语人>词典>汉英 : 仿射微分几何 的英文翻译,例句
仿射微分几何 的英文翻译、例句

仿射微分几何

词组短语
affine differential geometry
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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]。

Thismethod adopted affine transformation model and a Lie derivative-based analytical algorithm.We introduced the process and characters in extracting information of biological visionsystem, studied the feasibility of the generalized Gabor function used as receptive fieldfunction in extracting information and analyzed affine transformation group and Liederivatives. Finally, we deduced the mathematical denotation for Lie derivatives, i.e. theinfinitesimal generator of the geometric distortion in affine transformation.

对生物视觉信息提取的过程及特点进行了介绍,其中主要研究了广义Gabor函数作为感受野函数提取初级视觉信息的可行性;对仿射变换作为外界图像信息在视觉成像系统上的投影模型的原理进行了初步讨论;对Lie变换群微分算子用于提取仿射变换不变量的分析方法作了剖析,并推导了该方法中关键部分——仿射变换Lie微分算子的具体表达式,也就是几何变形无限小微分算子的计算表达式,使下一步编程实现该方法成为可能。

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。

This paper also studied the heat equation in equiaffine differential geometry.

本文还研究了等积仿射微分几何中的热方程。

Locally projectively flat manifolds;equiaffine differential geometry;projective Blaschke manifold

局部射影平坦流形;等仿射微分几何;射影Blaschke流形

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general affine differential geometry:一般仿射微分几何(学)

general affairs事务, 总务 | general affine differential geometry一般仿射微分几何(学) | general agent n.总代理

general affine differential geometry:一般仿射微分几何

general advice 一般的助言 | general affine differential geometry 一般仿射微分几何 | general afforestation 普遍造林

affinely independent:仿射无关

仿射微分几何 [学]|affine differential geometry | 仿射无关|affinely independent | 仿射性质|affine property