affine group

affine group的基本解释

-

仿射群

与affine group相关的网络例句 [注：此内容来源于网络，仅供参考]

Description and recognition of plane has been processed depend on the geometry model of continental group and affine group anciently, with the development of the computer vision application, people attaches importance to the investigation of the perspective invariants, thus the investigation of perspective invariants gradually become an important problem in the computer vision.

以往人们对曲线的描述和识别大都是在欧氏群和仿射群的几何模型下进行的，近几年随着计算机视觉应用的发展，射影群下不变量的研究开始受到人们重视，所以射影变换下几何不变性的研究是计算机视觉中的一个重要的研究课题。

Symplectic group research is enlarged in the fi nite field to the affine Symplectic group by studying the transition of affine Symplectic group.

把有限域上的辛群的研究推广到仿射辛群并对仿射辛群的可迁性进行了研究。

In Chapter 2, we will use one-parameter subgroups of the Lie group to develop a version ofNewton\'s method on an arbitrary Lie group for maps from a Lie group to its correspondingLie algebra which is independent of affine connections on the Lie group and differs fromNewton\'s method for sections on Riemannian manifolds.

在第2章中，我们主要研究关于从李群到其李代数的映射f的Newton法的收敛性。利用李群的单参数子群来给出关于映射f的Newton迭代点列，此Newton迭代与李群上的联络无关，也与第1章中研究的Newton迭代不同。

They include:collinearity--an invariance under the projective transformation group;Parallelisminvariance under the affine transformation group;the direction of angles--aninvariance under the rotation transformation group.

这些几何不变性质包括共线性——在射影变换群下的不变性；平行性——在仿射变换群下的不变性；角的方向——在欧氏平移变换群下的不变性。

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的；还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件，并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

与affine group相关的网络解释 [注：此内容来源于网络，仅供参考]

affine group：仿射群

affine function 仿射函数 | affine group 仿射群 | affine hull 仿射包

affine group scheme：仿射群概型

affine group 仿射群 | affine group scheme 仿射群概型 | affine isothermal net 仿射等温网

affine algebraic group：仿射代数群

仿射簇的维数|dimension of an affine variety | 仿射代数群|affine algebraic group | 仿射等价|affine congruence, affine equivalence

affine transformation group：仿射变换群

仿射变换|affine transformation | 仿射变换群|affine transformation group | 仿射超平面|affine hyperplane

connected affine algebraic group：连通的仿射代数群

connect | 连接, 联合, 关连 | connected affine algebraic group | 连通的仿射代数群 | connected category | 连通范畴