相似变换

Cklund transfo- rmation、Inverse scattering method、Darboux transformation、Hirota bilinear method、similarity reduction eta.

cklund变换法、反演散射方法、达布变换法、Hirota双线性方法、相似约化法等。

Lagrange interpolation focus on the application of the formula .The comparison between the method of Transform and that of Lagrange's interpolation formula in square matrix form is made. Also the form of Lagrange's interpolation formula is generalized to include the double root case.The application of the generalized lagrange's interpolation formula in square matrix to solving state equations is found to be effective.

重点介绍了Lagrange插值公式在状态方程求解中的应用，用对角矩阵及相似矩阵的性质证明了，当状态转移矩阵中方阵的特征根相异时，拉格朗日插值公式与Laplace变换法对表达具有一致性，并用极限方法对方阵含二重根时拉格朗日插值公式的应用进行了推导。

It Includes Determinant, Datrix and its Operations, the Elementary Transformation of Matrix and Linear Equations, Vector Group's linear, Similar Matrix and the Second Type, Linear Space and Linear Transformation.

内容包括行列式，矩阵及其运算，矩阵的初等变换与线性方程组，向量组的线性相关性，相似矩阵及二次型，线性空间和线性变换等。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

By the integration of wavelet transforms and fractal coding and by use of self-similarities, the image compression coding based on wavelet transforms and fractal coding is proposed with the iterated function system.

对小波变换、分形压缩编码的原理和特点进行了分析；结合小波变换和分形压缩编码，利用分形的自相似，研究了基於小波域的分形图像压缩方法。

WHMM is a statistical model in wavelet domain of stochastic signals, which integrates wavelet transform into hidden markov models . According to the locality, multiscality of wavelet transform and context-sensitive property of HMM, WHMM can not only characterize precisely the local feature of object multiscally, but also reflect accurately the full structure information of object. So it is a powerful tool which deals with noise, shape similarity and part occlusion in ATR, and finds its full application in recognition system of moving vehicle.

小波隐马尔可夫模型是小波变换与隐马尔可夫模型相结合的一种小波域随机信号的统计模型，它有机地融合了小波变换的局部分析性、多尺度性和隐马尔可夫模型的上下文相关性，不仅能多尺度地精确刻画目标的局部特征，还能准确地反映目标的整体分布信息，从而成为解决目标识别中受噪声、形状相似、部分遮挡等问题的最有力的工具之一。

First, normalized polar coordinate translation is carried out in the shape region with an origin at the middle of the region and a polar axis of the longest region orientation axis. Then, interval operations are defined between inner point intervals of the region at the same orientation.

该算法首先以形状区域的中心点为极点，区域的最长轴方向为极轴，对形状区域进行归一化的极坐标变换；然后定义了同一角度对应的区域内点区间之间的运算；最后定义了两个区域归一化极坐标变换结果在区间运算下的相似度函数，用以表征两个区域之间的匹配度。

There are three main methods in face localization: localization according to face outline, localization according to complexion and localization according to templates constructed by some standard sample images. As to feature extraction, it can be divided into two parts because face features can be divided into geometrical features and algebraic features. While extracting geometrical features, the features of eyes, nose, mouth, eyebrows can be gained by some image processes: binary, sharpen, smooth, projection, calculating gradient and so on. In order to extract algebraic features, we can do some mathematical transformation for the digital images such as singular value decomposition, K-L transformation.

在人脸检测部分，目前存在的方法有利用人脸的几何轮廓进行检测、利用人脸的肤色信息进行检测、构造标准人脸模板进行匹配检测等等；在人脸特征提取部分，可以用一些图像处理的方法如投影、二值化、求梯度图像等提取人脸中各特征器官如眼睛、鼻子、嘴巴等的几何特征，另外也可以借助于数学变换，求取人脸图像的一些代数特征，如对图像进行奇异值分解，以奇异值代表图象的特征，或对图像进行K-L变换，以图像在构造的特征空间上的投影系数作为图像的特征等；在识别部分，可以通过距离度量或相似度来判断输入图像与样本图像的匹配程度，还可以通过神经网络方法进行人脸的识别。

A method for reasonably integrating the characters of Bayer pattern with the process of wavelet transform is presented.

结合差值模型与小波变换理论，提出高频相似模型，并在理论分析的基础上，给出产生该模型时小波变换应满足的条件；从Bayer模式的内在特征出发，找到其与小波变换过程巧妙结合的方法，进而提出了R，B平面的一种有效重构方法。

This paper studies the phenomena of intermittent subharmonics and chaos in DC DC converters according to the consideration of coupling filter,consequently concludes that the origin of intermittency comes from conducted or radiated EMI.

文章从电路耦合滤波的角度考虑，分析了一类间歇分谐波与间歇混沌现象产生的原理，确定耦合电路传导和辐射干扰是产生该现象的根源，并构造了一个开关变换器模型作为研究对象，仿真与实验均得到了相似的非线性现象，同时对不同的电路参数集，讨论并分析了其对间歇现象产生所起的不同影响，为变换器的稳定设计提供信息。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失