向量分解

In accordance with the characteristics of the organisms, this paper studied chironomid larvae images recognition method based on wavelet packet decomposition and Fuzzy Support Vector Machine.

该方法采用多层小波包分解提取子图像的能量特征，同时结合生物图像颜色特征构造特征向量，然后选择模糊支持向量机作为分类器进行识别。

The scale 7, 10 and 13 are used to extract the feature vectors, which are used to train the artificial neural network. The trained neural network is used to classify semen cuscutaes and Japanese dodder seeds, which are collected from different places all over the country.

选择第7、10、13分解层数的特征向量，进行人工神经网络训练，再用训练出来的网络对不同产地的植物种子菟丝子和金灯藤所得FTIR小波提取的特征向量进行分类。

This method has realized the state space decomposition of rotational speed and flux with the help of support vector clustering technique. In the process of clustering,the author proposed a proximity graph-based dynamic kernel parameter clustering method that is suitable for the control of motor rotational speed and glue pump flux in MDF production to solve the problem of high complexity of relative matrix calculation.

该辨识方法利用支持向量聚类技术实现电机转速与泵流量的状态空间分解，应用支持向量分类技术设计了多模型切换策略，并运用支持向量回归技术构建了状态空间内的转速与流量辨识模型。

The key technique in the MUSIC algorithm is the signal subspace extraction which can be found from the eigen decomposition of the sample covariance matrix of the antenna receive signal. The eigen value decomposition of a Hermitian matrix is implemented by using the QR algorithm, and the signal subspace is constituted by collecting the significant eigen vectors.

在复合信号分类演算法中的重要关键为信号子空间与杂讯子空间的分解，这两个子空间可以利用对天线收到信号的取样共变异矩阵做特徵值分解中求出，本篇并以QR演算法实现厄米特矩阵之特徵值分解，信号子空间便是由分解后的特徵向量所集合而成。

The current signals were gathered in the tests, and processed by wavelet package transform. A characteristic vector was constructed by the energy of different frequency segment, which was calculated by using the coefficient of wavelet package transform of the current signals. The vector shows that the energy of low frequency segment is of the majority of the total energy, and becomes larger as the interelectrode gap decreasing.

在线采集真实电解加工过程中的电流信号，用对实测信号进行小波包分解和重构后的小波系数计算各频段的能量，构造一个由不同频段能量组成的特征向量，发现特征向量的低频分量占总能量的大部分，随着平衡间隙的减小，低频分量能量增大。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property,the reducing matrix was taken as the transformation one. Thus all eigenvalues and eigenvectors of the system can be obtained.

利用具有完全特征向量系的矩阵在约化若当标准型过程中可正交相似对角矩阵的特性，将变换矩阵取为约化若当标准型过程中的分解矩阵，从而求出所求系统的特征问题的全部特征值和相应的特征向量。

And then, wavelet transform is adopted to make the power decomposition and constructed relevant character vectors.

然后采用小波分析的方法对电压波形进行了能量分解，构造了相应的特征向量，得出了由特征向量分析判断故障的结论。

Firstly, the digital watermarking was transformed randomly, and then encrypted by chaos. The encrypted watermarking was transformed to one-dimensional row vector, and the pixel value was sorted. The coefficient of primitive image of stationary wavelet transformation was expanded to one-dimensional row vector, too, and then the sorted watermarking was embedded to the sorted low frequency and turned to two dimensions.

本算法先将数字水印图像进行置乱变换，然后将置乱后的水印图像进行混沌加密，将加密后的水印按行展开成一维行向量，并将像素值从大到小排序，将原始图像平稳小波分解得到的低频系数也按行展开成一维行向量，并按从大到小排序。

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系；推导并证明了，酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系，据此可得酉对称矩阵奇异值分解的快速算法；给出并证明了摄动矩阵的摄动界。

Latent semantic index LSIis a new algebraic model for information retrieval, which maps documents and queries vectors into a lower dimensional space by singular value decomposition, so that the inherent vagueness associated with a retrieval process based on keyword sets is considerably reduced and semantic association among the documents is highlighted consequently.

隐含语义索引是一种新型的信息检索模型，它通过奇异值分解，将词向量和文档向量投影到一个低雏空间，消减了词和文档之间的语义模糊度，使得文档之间的语义关系更为明晰。

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。