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Based on matrix optics method, a model for coupling free space light into single mode fiber is established.

根据矩阵光学理论，建立了自由空间激光到单模光纤的耦合模型。

Based on the single step mode-matching technololgy, the method to get the scatter matrix of the smooth-profile horn was presented.

运用程序分析了各种不同结构光壁喇叭馈源，得到了其中各个模式之间的耦合关系及其口面辐射特性的变化。

Metal powder coating plays a role in linking ceramics with matrix metal. The crucibles of composite material can be produced in single step by liquid formation method.

金属粉涂料作用在于连接陶瓷和金属基体，复合材料坩埚经液态成形法一次制成。

This paper introduces the single-phase and three-phase matrix converter basic principle and circuit topology.

本文首先介绍了单相和三相矩阵式变换器的基本工作原理及其电路拓扑结构。

of complex number operation based on complex template of Visual C++ is investigated in detail in this paper,a set of source codes of basic complex number operation are given out;And its application on Singular Value Decompositionof a general complex matrix,which meets the requirement arising in software development of signal processing module of our project very well and is illustrated for the validity of the method,is given out.

该文详细阐述了VisualC++中利用复数模板实现复数运算的方法，给出了一些基本复数运算的实现代码；并基于该方法实现了算法已知的一般复矩阵的奇异值分解运算，很好地满足了实际工程信号处理软件模块的需要，证明了该方法的正确性。

A general matrix perturbation method for complex modes using singular value decomposition;2. The modal character,the error of the substituting by real modes and the best way to extract real modes from complex modes are discussed.

建立运动方程，用第一振型将主体结构展开，针对非经典阻尼和非对称结构以及脉动风谱为非有理分式风谱的情况，运用复模态理论将所得方程进行解耦，获得了以第一振型表示的结构随机风振响应的解析解。

In chapter 3 we introduce a volume elementon 〓 and give some formulas of integration on 〓 under this volumeelement.The singular matrix Liouville distribution is introduced through theuse of this volume element.

第三章较详细地介绍了〓上的体积元素，给出了在这个体积元素之下的若干积分的计算公式，在此基础上提出了退化矩阵Liouville分布，讨论了这个分布的一些性质。

The energy of every IMF and the singular value of the IMF matrix were chosen as features. The Shannon and Renyi entropy of the energy and singular value distribution were also extracted.

计算各固有模态函数的能量和矩阵的奇异值，采用Shannon熵和Renyi熵度量能量和奇异值分布，构成原始特征子集。

Keywords: MRSI; equal-phase line algorithm;sampling density compensation function; singular value decomposition;sensitivity encoding matrix

中文关键词：磁共振波谱成像；等相位线算法；采样密度补偿函数；奇异值分解；灵敏度编码矩阵

Based on the singular value decomposition of kernel matrix, SVD-LSSVM was proposed, which oan save time for hyper parameters selection via cross validation.

本文利用核函数矩阵的奇异值分解，得到了可以节省超参数选取时间的分类器：SVD-LSSVM。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。