分解

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。

From the Gel Chemistry we know that the homogeneousness of gels' structures had effect on its' transparence.

纯凝胶和MCMB凝胶素坯的热分析结果显示，凝胶高聚物从233.3℃开始发生热分解，在444.7℃之前基本分解完毕，而MCMB则从392.3℃附近开始发生热分解，在678.8℃附近热分解基本结束。

In chapter 4, the factorization and cascade decomposition for first order singular systems have been discussed, the if and only if conditions have been obtained, the invariaty of minimality under factoiization and cascade decomposition has been proved.

第四章，讨论了一阶奇异系统的因子分解和级联分解，给出了其具有上述分解的充要条件，证明了极小性在分解下的不变性；对具有一阶奇异系统实现的有理函数矩阵，给出了判定其为正实函数的充要条件，推广了著名的正实引理。

Further, in thispaper, we discuss the operation for the graphs that have an ASD, and prove that the mixed product of circular graph has an ASD; Further more, in this paper we prove that the tensor product for two graphs which both have an ASD has an ASD.

进一步地，我们还探讨了可升分解的图的运算，证明了循环图的混合积可以升分解；更深入地，本论文还证明了两个可升分解的图的张量积可以升分解。

In other words,an affirmative answer are given for the question on the set of factorization indicesof completely positive realizations of a graph raised by N.

关于完全正矩阵：本文给出圈的双非负实现为完全正的一个充要条件，并确定其非负分解指数和非负分解；证明完全正图的非负分解指数集没有缺数，换句话说，给出了关于图的完全正矩阵实现的非负分解指数集的N。

The preliminary chromatogram data were resolved with Mallat algorithm of wavelet analysis theory. This method that resetting the high frequency signals, reconstructing low frequency and then correcting the background signals in the original signal was to avoid the data skewness with negative digital points after background correction and achieve the baseline correction; according to the study and analysis of simulated data including curve background and real data of the needle-plate and free metal partials insulation defects, the method is effective; the best wavelet function of the background correction is Db5 and the best resolution times of the background correction is 8 for chromatogram data of SF_6 decomposition products, based on the calculation with different wavelet functions and resolution times.

在初步获取的气相色谱数据基础上，运用小波分析技术中的Mallat算法对色谱数据进行小波分解，采取将高频信号置零，重构低频背景信号，再用原始信号扣除背景信号的方法，并对背景信号进行纵向平移以避免扣除后出现负数据点造成色谱峰失真的题目及达到色谱图基线校正的目的；通过对含曲线背景信号的模拟色谱数据和针-板、自由金属微粒缺陷下的真实数据的计算研究表明，该方法的应用是有效的；并通过对不用小波函数和不同分解次数的背景扣除计算，确定了SF_6气体放电分解组分色谱背景扣除所选用的最佳小波函数为Db5小波和最佳分解次数为8次。

A new type of polar decomposition—weighted polar decomposition of matrices is presented and defined. Aim at this new matrix decomposition, we prove its uniqueness theorem and obtain its uniqueness conditions, and also investigate the best approximation property of weighted unitary polar factor.

矩阵的极分解和广义极分解一直是矩阵分析研究的重要内容，本文中我们对其进行了横向扩展，提出并定义了一种新的极分解形式—矩阵的加权极分解。

In 1987, the well-know mathematician Yousef Alavi and other famous mathematicians defined a new decomposition of graph-Ascending Subgraph Decomposition which is on the condition of proper subgraph isomorphic, and in the same paper they proposed the following ASD conjecture: every graph of positive size has an ASD.

升分解(ascending subgraph decomposition，简记为ASD)是1987年闻名世界的数学家Alavi与其他几位著名数学家给出的一种在真子图同构意义下的图的新分解，并且在同一论文中他们还提出了一个升分解猜想：任意有正数条边的图都可升分解。

The biocatalyzed characters of the purified cellulases were investigated with the CMC-Na as substrate. The most appropriate catalyzed temprature for cellulase 1 is 60 "C,and 65 for cellulase 2. The two enzymes have the extreme stability at the temperatures no more than 50.The CMC-Na has the protective effect on the cellulase. The pH stability range of cellulase 1 is 4 ~ 8, and 6-9 for cellulase 2. Zn2+, Ca2+, Mg2+, K+, Li+can ativate cellulase 1. K+, Li"1 can ativate cellulase 2. Cellulase 1 can mainly decompose CMC and salicin. Cellulase 2 can decompose not only CMC and salicin, but other substrates feebly.

以羧甲基纤维素为底物时，酶1的最适催化温度为60℃，酶2的最适催化温度为65℃，在50℃以下稳定性较好，底物对酶有较强的保护作用；酶1和酶2的最适pH分别为5.5和5.5～6.0，酶1的pH稳定性范围为4～8，酶2的稳定性范围为6～9；Zn~(2+)，Ca~(2+)，Mg~(2+)，K~+，Li~+对酶1有激活作用，K~+，Li~+对酶2有激活作用；酶1主要对CMC和水杨素有分解作用，对其它底物几乎不分解；酶2除了可以分解CMC和水杨素外，对其它底物也有微弱的分解作用。

The system of phase equilibrium data of the Fe-Cu base alloy is established relatively, the spinodal decomposition range of the Fe-Cu base alloy is calculated utilizing Thermo-Calc software, The composition range of the spinodal decomposition of the Fe-Cu base alloy is prognosticated with more accuracy; The self-formed mechanism of egg-type microstructure of the Fe-Cu base alloy with spinodal decomposition in the liquid-phase region under gravity conditions is theoretically investigated. Based on the analysis and calculation of interfacial tensile stress induced by the temperature gradient in the process of solidification, the theoretical results interpret preferably the self-formed mechanism of egg-type microstructure of the Fe-Cu base alloy through the analyzing of force states of metallic droplet in the rapid solidification.

建立了较为完整的铁铜基合金系的相平衡数据体系，利用Thermo-Calc软件对铁铜基合金系的液相调幅分解成分范围进行了计算，较准确地对铁铜基合金系的液相调幅分解成分范围进行了预测；从理论上对液相调幅分解型铁铜合金卵型结构的形成机理进行了研究，基于凝固过程中由温度梯度所导致的界面张力的分析与计算，通过考察快速凝固过程中金属液滴受力情况，较好地解释了液相调幅分解型铁铜合金卵型结构的自形成机理。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。