空间

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

After analyzing characteristics of urban spatial data, this paper partly implements the integration of spatial data of multi sources and organization and management of sea-large spatial data. Finally, the spatial data managing system makes a uniform management, maintenance and updating on such data as digital linear graphic, digital elevation map, digital orthoimage, digital raster data, reference points and metadata.

本文针对城市空间数据特征分析，部分实现了多源空间数据的集成和海量空间数据的组织与管理，实现了多库一体化分布式城市空间数据管理系统，将数字矢量线划数据、数字正射影像数据、数字高程模型数据、数字栅格数据、控制点数据以及元数据的进行统一的管理、维护和更新。

According to the fact that the sum of linear subspaces, each of which is spanned by the rows of all points in each image, is equal to the linear subspace spanned by the rows of space points, projective depths are estimated.

深度因子则根据每幅所有图像点构成的行向量生成的线性子空间和与射影重建空间点构成的行向量生成的线性子空间是同一线性子空间的特性被估计出来。

It relies on the facts that the rows composed of all the image points span the same linear subspace as the rows composed of the 3D space points and that the basis of the subspace can consist of the two rows composed of the first image points and a row vector which is orthogonal to the former.

所有图像序列构成的行向量与3维空间点构成的行向量所生成的子空间是同一线性子空间，而且由第1幅图像点构成的2个行向量外加1个行向量就可以组成该子空间的一个基底。

The former uses Eigen-associative Learning algorithm to learn various facial expressions according to a face image with neutral expression. The latter is a two-level fusion approach which combines local linear and global nonlinear subspace learning. Amongst, the local linear subspace learning adopts eigen-representation technique for video sample compression in temporal domain; the global nonlinear subspace learning synthesizes optimized facial expressions in spatial domain.

前者采用特征关联学习算法根据一幅中性表情人脸图像合成具有其它表情的人脸图像；后者是一种结合局部线性和全局非线性子空间分析的两层融合方法，其中局部线性子空间学习采用特征表示技术在时间域对视频样本进行压缩、全局非线性子空间学习在空间域内产生优化的人脸表情。

That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.

就是说，从离散度量空间到另一个有界度量空间的函数是李普希茨连续的，而任何从离散度量空间到另一个有界于 1 的度量空间的函数是短映射。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性；其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性，主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性；然后利用BD函数的一维截断方法和结构定理，讨论了在BD全空间上的积分泛函的下半连续性。

By doing so, the dimension of attribute can be reduced effectively, the noise can be filtered successfully and the underlying semantic structural relation will be stressed.(3) The dissertation carries on expanded research on double-bases cooperating mechanism in terms of pattern, discusses and proves the important structure mapping theorem of the above mechanism.

该方法通过小波变换及潜在语义索引算法将向量空间模型中的"特征词项空间"转化为Hilbert子空间——"概念空间"的范畴，从而有效地降低了特征项维数、过滤掉文本数据中的噪声、突出了文本数据的深层语义结构关系。

So, he takes "Dance" as characteristic spacial consciousness in Chinese art and model of all Chinese Yijing , emphasizing that spacial consciousness and spacial representation of Chinese art just lie in "Seeing infinity in finitude, and returning to finitude from infinity". Only in such artistic space can the profound contents uncovered by artists (namely,"Tao", life rhythm,"real life","cosmic truth") be embodied, and can artistic creation reach its ultimate ideal and maximal achievement.

所以，他把"舞"理解为中国艺术的空间意识特征和一切中国艺术意境的典型，强调中国艺术的空间意识和空间表现就是"于有限中见到无限，又于无限中回归有限"，只有在这样的艺术空间里，艺术家所要揭示的深刻内容（中国人所谓"道"，亦即生命节奏、"真的生命"、"宇宙真际"）才获得了具象化，艺术创造才达到了最后的理想和最高的成就。

Fourthly,in the UMD spaces,the tree martingale transforms and their maximaloperators are defined,and then based on the geometrical property of UMD spaces andcombining new interpolation techniques of Hardy-Lorentz spaces,the inequality ofUMD space valued tree martingale transform maximal operators is obtained.

然后，在UMD空间中，我们定义了树鞅鞅变换及其极大算子，并用UMD空间几何性质和Hardy-Lorentz空间的算子插值理论证明了UMD空间值树鞅鞅变换的极大算子不等式。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了