查询词典 affine

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。

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。

The notion of affine quadratic stability is proposed for uncertain delayed systems. Based on such a notion, methods of robust stability and robust H〓 performance analysis for uncertain linear delayed systems with affine parameter uncertainty are developed by using linear matrix inequalities.

本章提出了不确定时滞系统仿射二次稳定的概念，对于具有仿射参数不确定性的线性时滞系统，基于仿射二次稳定概念，利用线性矩阵不等式给出了鲁棒稳定性和鲁棒H〓性能分析方法。

In this project, we have tackled the robust fault detection and diagnosis problem for affine nonlinear sampled-data systems based on nonlinear H∞ filtering theory,and focused on the design of robust fault dtetction filter. The main contribution of this project is that we (1)present design methods of robust fault estimator for nonlinear discrete-time systems based on least square estimation and linear matrix inequality;(2)improve the bounded real lemma of systems with finite discrete jumps;(3)develop the robust fault detection filters for affine nonlinear sampled-data systems with parameter uncertainties based on the improved bounded real lemma.

本项目以提高故障的正确检测率为目的，以非线性H∞滤波理论为基础，对不确定仿射非线性采样系统的鲁棒故障检测与诊断问题进行了研究，重点研究了不确定仿射非线性采样系统的鲁棒故障检测滤波器设计问题，取得了一些新的成果，主要成果有：(1)基于最小二乘估计和线性矩阵不等式，给出了非线性离散系统的鲁棒故障估计器设计方法；(2)改进了有限跳跃点系统的有界实引理；（3）基于改进的有界实引理，给出了不确定仿射非线性采样系统的鲁棒故障检测滤波器的设计方法。

This method represents the virtual objects in Euclidean space instead of in affine space, which is consistent with the popular graphics rendering tools such as OpenGL and is more common in practice. A new classification based local and global tracking strategy to match features between the reference image and the currently frame directly is presented, which enables the augmented reality system working effectively even under large changes of viewing angles. A novel affine coordinate system definition method based on a collection of feature points is also proposed, which makes the tracking method effective even when not all the reference points are detected during the whole process, as long as there are at least four pairs of reference points correspondences.

该方法以仿射变换为桥梁来建立欧氏空间下的摄像机坐标系与世界坐标系之间的变换关系，它与OpenGL等当前流行的图形渲染工具一致，具有更强的通用性；采用基于分类的自然特征匹配策略，能够在视角和视点发生大幅度变化情况下依然正常工作；提出基于特征点集合的仿射坐标系定义方法，使增强现实系统在最小配置下只需4点追踪成功即可完成注册，比需要6点的透视投影方法具有更好的健壮性和精确性。

Convex body; star body; Brunn-Minkowski inequality; dual harmonic quermassintegrals; dual affine quermassintegrals; dual mixed bodies; affine surface area; isotropic measure

基础科学，数学，几何、拓扑凸体；星体； Brunn-Minkowski不等式；对偶调和均质积分；对偶仿射均质积分；对偶混合体；仿射表面积；迷向测度

Convex body; star body; polar body; inequality; extremum; i—th width integral of convex body; mixed width-integral of convex bodies; mixed chord-integrals of star bodies; affine surface area; mixed affine surface area; mixed projection body; mixed body; L_p-projection body; L_p-centroid body

基础科学，数学，几何、拓扑凸体；星体；极体；不等式；极值；凸体i-次宽度积分；凸体混合宽度积分；星体混合弦长积分；仿射表面积；混合仿射表面积；混合投影体；混合体； L_p-投影体； L_p-质心体

In general, the inverse of affine nonlinear singular system does not have affine form.

当系统不可逆时给出了系统的输入空间特性，在此空间上，输入—输出映射是内射的。

In particular, he addresses spherical and affine buildings, and the "spherical building at infinity" attached to an affine building.

特别是，他的地址和仿射球形建筑，以及"在仿射建设附加到无穷大"球形建筑。

To be specific,its generalized characteristic polynomial has positive double roots,which we proved further has only a double,root by using the affine transformation and inverse affine transformation.

为了更好地进行干涉判断，根据椭圆-椭圆外切的代数条件——广义特征多项式具有正的重根，以及进一步证明出的该正重根的唯一性结论，利用仿射变换和逆变换方法，推导出了椭圆-椭圆的不适合边界解析方程。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失