向量分解

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

For any dimension vector , there exist the generic decomposition, and a dense and closed subset V of system space R〓 corresponding to this decomposition such that, for each dynamical system M∈V, every indecomposable summand of M thus M is clear.

对任意的维数向量，存在一般分解，以及系统空间Rm，n，p中稠密的开子集V，并且我们对V中每个系统的不可分解直和项知道得很清楚，进而对V中每个系统也非常清楚。

This paper proposes s new method to construct wavelets decomposing and reconstructing matrices of wavelet coefficients without iterative calculation in symmetrical extension for finite length signal ,and correspondingly gives the base vectors and basis images of 9/7 wavelet. The matrices can be used for image-partition processing based on wavelet method.

给出了对称延拓方式下有限长信号不需逐级计算而直接得到小波系数的分解矩阵和由这些小波系数重构原信号的重构矩阵的构造方法，并给出了常用的相应于9/7小波的分解矩阵和重构矩阵及其基向量，它们可广泛用于基于小波的图像分块处理中。

The image matrix is transformed into vector by singular value decomposition. The angle between singular vectors of the original image and the distorted image is used to measure the image quality.

考虑原始图像和畸变图像尺寸不一致的情况，提出了用奇异值分解把图像矩阵转为向量，用奇异值向量之间的夹角作为图像的质量评价指标。

The simulation's results show the method based on the support vector machine and empirical mode decomposition is better than the persistent method or the simplex support vector machine.

仿真结果表明，基于经验模式分解的支持向量机方法比持续法和单纯的支持向量机法的预测效果更好。

Based on decompounding of row vectors and line information, a fast evaluation model of jamming effect is built, and the allocation tactics for radar jamming resources, jamming effect after allocating are studied by using the principle of Euclid close degree.

在分解隶属度矩阵行向量信息与列向量信息的基础上，构建了一种快速评估雷达干扰效果的模型。利用Euclid贴近度原理对雷达干扰资源的分配策略、分配后的干扰效果进行了研究。

First the power spectrum of fault signals were decomposed by wavelet analysis, which predigests choosing method of fault eigenvectors, and then the LSSVM was adopted to diagnose faults.

首先对故障信号功率谱进行小波分解，简化了故障特征向量的提取，然后采用最小二乘支持向量机进行故障诊断。

This method reshapes the SAR images matrix into vectors, and analyzes the matrix which is composed of the two vectors with PCA process, getting a conclusion that the minor component image is the change portion.

该算法将SAR图像转化为列向量，对两个图像向量组成的矩阵进行主分量分解，其图像的变化部分则表征为矩阵的次分量成分。

The noise of leather texture images was wiped off by adopting wavelet packet decomposition, and the characteristic rectors of images were extracted using co-occurrence matrix, then the characteristic vectors were clustered by modified FCM.

该系统对皮革纹理图像采用小波包分解去噪，并用共生矩阵提取皮革图像的纹理特征向量，用改进模糊聚类方法对样本特征样本向量进行聚类分析。

The time-history velocity response signal of pile can be decomposed by Sym wavelet. The power spectrum value can be extracted from some specified spectrum range. These values from one signal makes up the characteristic vector representing this signal. The relationship between characteristic vector of pile and pile defect type can he established by using BP artificial neural network. Abundant time-history velocity response signals of pile can be acquired by numerical simulation method.

利用Sym小波对基桩速度响应时程曲线进行小波分解，对指定频带上的信号分量进行特征值提取，提取的特征值为反映各频带范围内体现能量分布的功率谱均值，提取的特征值可构成反映信号特征的特征向量，同时利用BP人工神经网络的非线性映射特性建立特征向量和基桩缺陷类别之间的一种对应关系。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。