向量分解

Characteristic data have been worked out, including the maximum Lyapunov index λ, fractional dimension D, lacunarity Λ and eight energies of various frequency bands. After being normalized, they can function as the characteristic vectors. Then, they are transmitted into an artificial neural network to perform pattern recognition.Starting from the mechanism of ultrasonic generating, initial ultrasonic pulses are calibrated. A stylish discharge source is directly coupled with the ultrasonic sensors, and work out actual discharge magnitude.

利用非线性和非平稳的方法对超声波信号进行了分析处理，对于局部放电模型得到的信号，计算了超声波信号的Lyapunov指数、分维数D、空缺率、小波包分解的8个频带能量，得到了11个特征数据，归一化处理后形成特征向量，由人工神经网络进行识别，实现了对局部放电典型模型的模式识别，显著提高了模式识别的正确率，并分析了传播途径对识别的影响。

This paper discusses some generalized forms of the primary decomposition of vector space with regard to linear transformation.

本文讨论了向量空间关于线性变换σ的准素分解的一些推广形式。

This approach was based on the NonSubsampled Contourlet Transform. The means and variables of NSCT coefficients matrix in different subbands and various directions were extracted to form the feature vectors which were regarded as indexes of texture images in image database. Two similarity functions were used to compute the similarity between images. A texture retrieval system based on query image was developed.

该方法利用非下采样Contourlet变换对图像进行分解，提取不同子带和不同方向变换系数矩阵的均值和方差为特征向量，作为数据库中纹理图像的索引，并利用两种不同的相似度函数计算图像之间的相似度，建立了一套基于示例查询图像的纹理图像检索系统。

Support Vector Machine obeys Structural Risk Minimization for machine learning. Sequence minimizing optimization is an uttermost decomposing algorithm of SVM training.

用支持向量机的机器学习是依据结构风险最小化原则，序列最小优化是较特殊的分解算法。

Advanced edition additionally supports QR and Singular Value decompositions, Eigenvalue and Eigenvector computation for symmetric and non symmetric matrices.

高级版此外支持的QR和奇异值分解，特征值和特征向量计算对称和非对称矩阵。

To avoid the SSS problem, a nonsingular within-class scatter matrix is constructed directly using the original two dimensional image matrix, and DLDA method is used to obtaining the feature matrix in this new algorithm.

该算法在克服小样本问题的同时，不会丢失图像中的有用信息，而且可以避免采用奇异值分解导致的无法精确计算特征向量的问题。

In this paper, to establish a vector error correction model, based on the use of impulse response function and forecast variance decomposition to describe China's agricultural infrastructure development and rural economic growth dynamic relevance.

本文以建立向量误差修正模型为基础，使用脉冲响应函数和预测方差分解来描述中国农业基础设施发展与农村经济增长之间的动态相关性。

Based on the analysis of conventional phase difference detection method,a new algorithm of phase difference detection is presented according to Fourier series decomposition method and the characteristic that inner product of two orthogonal vectors in a linear space is zero.

在分析现有相位差检测算法的基础上，应用Fourier级数分解方法与线性空间中正交向量内积为零的特性，推导出了一种新的相位差检测算法。

An S-shape acceleration/deceleration control model is developed by summation progression and the corner of two conjoint lines is adopted as a parametric variable to control the feedrate through the inflexion of two lines. Based on these, interpolation process is divided into two steps: interpolation pretreatment and interpolation point calculation. Feedrate planning is accomplished in the pretreatment step. Interpolation point calculating only depends on the real-time feedrate and the direction vector of the line.

该算法以级数求和的方法推导了S型加减速控制模型，并以小线段夹角为参变量控制拐点通过速度建立了小线段速度衔接模型，在此基础上，算法将插补过程分解为插补预处理及插补点计算两个步骤，预处理中对小线段进行速度规划并设计了线段速度的递推处理方法，插补点仅需根据当前速度及线段方向向量即可求出。

After extending the definition of tangent distance,we extract the directions of variance of sample sets using Singular Value Decomposition based onthe original image, and use them as the tangent vectors of training sample sets.

本文把切线距离的概念进行了进一步的延伸，在原始图像的基础上，用奇异值分解方法直接提取样本集合中所包含变化的方向，作为训练样本的切线向量。

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。