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 transforming operator 变型算子(2)
 变型算子
 Transforming Operator and Semigroups 变型算子与半群 短句来源 Goldstein JA discussed the relation between the linear semigroups and the cosine operator,and deduced the integral expression of the cosine operator by semigroups. Here we use the method of transforming operator produced by professor Qu Chaochun,defining the transforming operator in the abstract regular functions,and infering the integral expression of cosine operator by semigroups. J．A．Goldstein讨论了线性半群与cosine算子的关系，导出了cosine算子用半群表示的积分关系．该文利用屈超纯所提出变型算子方法，在抽象正则函数类定义变型算子，导出cosine算子用半群的积分表示式 短句来源
 相似匹配句对
 Transforming Operator and Semigroups 变型算子与半群 短句来源 OPERATOR COMMANDS 操作员命令 短句来源 dinger operator. dinger算子． 短句来源 The Transforming Media 周鸿铎:变革中的传媒业 短句来源 Transforming Bridge 转换桥 短句来源

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 In computer control system,we often come across a multiloop system with different samp-ling periods.In analyzing such a system,we always use the following method instead of the ordinary analysis method of discrete-time system,that is,using a zero-order holder,which connects two control loops with different sampl-ing periods,to bear a relation between time sequences of these two loops in order to cancel one of the integral variables and get a uniform difference quation for the two loops and then to make a stability... In computer control system,we often come across a multiloop system with different samp-ling periods.In analyzing such a system,we always use the following method instead of the ordinary analysis method of discrete-time system,that is,using a zero-order holder,which connects two control loops with different sampl-ing periods,to bear a relation between time sequences of these two loops in order to cancel one of the integral variables and get a uniform difference quation for the two loops and then to make a stability ana-lysis of the whole system.This method is also suitable for multiloop system.However,it is quite tedious and troublesome especially when the number of loop is numerous.Another analysis method for multiloop system with different sampling periods is introduced in this paper.The basic idea of the method is to use the relationship between Z transform operators of these two loops to cancel one of them and get Z transfer function of the closed loop system which contains only one operator,and 在计算机控制系统中,多回路不同采样周期的系统是经常遇到的。对于这种系统,不能按离散系统的一般方法来分析。通常是采用这样的分析方法:通过联系两个不同采样周期的控制回路的零阶保持器,把两个回路的时间序列联系起来,以便消去其中一个整数变量,得到两个回路统一的差分方程,然后进行系统的稳定性分析。对于多回路的系统,也可用同样的方法进行处理。这种分析方法是可行的,但比较麻烦。特别是当回路数较多时,采用这种分析方法就相当费事了。本文介绍另一种分析多回路不同采样周期的系统的方法。其基本思想是,利用两个回路的Z变换算子的关系,消去其中一个算子,得到只包含一个算子的系统的闭环Z传递函数,并导出其状态方程,然后进行系统的稳定性分析。这种方法分析简单,容易掌握,而且具有普遍性。因此,它是分析计算机控制系统动态特性的一种较好的方法。 This paper discusses two problems encountered when texture features are to be used as input parameters for classification, the redundant feature compression and texture segmentation. To the former topic, the subspace method which is different from the traditional methods is used, And special attention has to be paid to the comparison between subspace method and Mahalanobis method. The results show that subspacc method is superior to Mahalanobis one, not only in efficiency but also in accuracy. To the second... This paper discusses two problems encountered when texture features are to be used as input parameters for classification, the redundant feature compression and texture segmentation. To the former topic, the subspace method which is different from the traditional methods is used, And special attention has to be paid to the comparison between subspace method and Mahalanobis method. The results show that subspacc method is superior to Mahalanobis one, not only in efficiency but also in accuracy. To the second topic, the novel texture transform operator called texture energy is introduced on the basis of Hsu s works. And practicability and effectivity of texture energy transform used for texture segmentation are proved by plenty of experiments. 本文着重探讨了纹理特征引入遥感图像分析所面临的二个问题—冗余特征压缩与纹理分割。针对第一个问题,本文利用了与传统方法迥然不同的子空间法,该法与马氏距离法比较得出,无论是效率还是精度,子空间法均优于马氏最小距离法。针对第二个问题,本文在前人工作的基础上,提出了纹理能量变换法,实验结果表明,该法用于纹理分割是可行的。 The wavelet-based multigrid method is presented on the comparative study between the multiresolution anaylsis of wavelet theory and multigrid method. The scaling spaces inwavelet theory serve as the grids in the multigrid method. The wavelet transform transfers the information between two grids. It solves the basic difficulty of the construction of grids and thechoice of the sufficiently good transfer formulae between the fine and coarse grids. The numericalresults show that the novel method is convergent... The wavelet-based multigrid method is presented on the comparative study between the multiresolution anaylsis of wavelet theory and multigrid method. The scaling spaces inwavelet theory serve as the grids in the multigrid method. The wavelet transform transfers the information between two grids. It solves the basic difficulty of the construction of grids and thechoice of the sufficiently good transfer formulae between the fine and coarse grids. The numericalresults show that the novel method is convergent faster and more accurate than the conventionalone. Due to the perfect frame of wavelet theory,the coarse grids and transform operators can beconstructed automatically. So this method can be used as a black-box solver for a wide range ofproblems. 本文将小波的多分辨率分析和多重网格方法结合起来，提出了一种基于小波的多重网格方法．它将小波的尺度空间作为多重网格法中的粗网格层，以小波变换作为粗细层间的信息转换，解决了多重网格法中构造粒网格层和选择合适的层间转换算子的困难．因为小波理论自身具有一套完整的体系，粗网格层和转换算子的生成都是自动的，所以这种方法在很多情况下可以作为一种黑匣子算法． << 更多相关文摘
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