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Based on a formal analysis of lifting decomposition, the hierarchical structure concept of the decomposition set, as well as the lifting decomposition technique of the polyphase matrix' greatest mth-order common divisor, is proposed to conquer the difficulties in the practical computation of and the optimal search in the huge decomposition set.

本文在形式化分析Lifting分解原理的基础上，提出了分解集合的分级结构概念以及多相矩阵的m阶最大公因子Lifling分解技术，克服了分解集合求解问题的高复杂性所带来的实际计算与搜索困难；进一步地，从数值稳定性及计算代价两方面研究了分解的评价问题，设计出两种实用的分解稳定性准则；最后，结合分级结构技术提出一种最优分解算法。

The results show that the decalescence of catalyst bed affects the process of hydrogen peroxide catalytic decomposition greatly. If the catalyst bed is preheated or made up of materials with low thermal conductivity, that influence can be depressed. At the same time, the response characteristic of catalyst bed and the efficiency of catalytic decomposition can be improved. The low frequency pressure instability of catalyst bed occurs because of the coupling of catalytic decomposition and supplying. The decomposition plane pushes all the way through the catalyst bed during pressure oscillations, causing unreacted liquid hydrogen peroxide to be exhausted from the bed and leading to the appearance of liquid hydrogen peroxide channeling. Consequently, how to prevent or at least limit this channeling is the key to eliminate the pressure instability of catalyst bed. It was found that adding clapboard to the catalyst bed can depress the pressure instability efficiently.

结果表明催化剂床及催化剂的吸热对过氧化氢分解过程影响很大，对催化剂床进行预热或采用热导率低的材料制造催化剂床等措施，可以降低催化剂床壁面吸热对催化分解过程的影响，提高催化剂床的响应特性和催化分解效率；催化剂床的低频不稳定是催化分解过程与供应系统耦合产生的，催化剂床气体界面的波动过程中，液体过氧化氢穿透催化剂床形成过氧化氢液体通道，过氧化氢液体通道的产生和扩大是催化剂床不稳定的主要原因，也是消除催化剂床不稳定的关键，试验中在催化剂床内加入分流板成功地抑制了催化剂床的低频不稳定。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The solvable Lie algebra is corresponding to a cascade decomposition of the system and the semisimple Lie algebra is corresponding to a qasi-parallel decomposition such that the system has a parallel form of a cascade decomposition and a qasi-parallel decomposition.

任一李代数都可分解为一可解李代数与一半单李代数的半直和，可解李代数对应于系统的级联分解，半单李代数对应的是系统的准平行分解，将二者合并起来，就得到一般李群下的非线性系统的结构分解，这是一级联形式与一准平行形式的并联形式分解。

In this article, several common matrix decomposition theory and its applications was put forward, such as triangular decomposition, QR decomposition, the full rank decomposition, SVD and so on.

本文给出了几种较常见的矩阵分解理论及其应用。如三角分解，QR分解，满秩分解，奇异值分解等。

To one quaternion matrix, according to its normal form, into which a quaternion matrix is transformed after decomposed, the types of decomposition of a quaternion matrix are divided into three large classes: diagonalized decomposition, triangular decomposition and triangular-diagonalized decomposition.

对单个四元数矩阵，以分解后的四元数矩阵的标准型作为分类的标准，将四元数矩阵的分解分为三大类：对角化分解、三角化分解、三角一对角化分解。

The thermal decomposition kinetics of the N , N′-bis(5,5-dimethyl-2-phospha-2-thio-1,3-di- oxan-2-yl)ethylenediamine in air were studied by TG-DTG techniques. The kinetic parameters of the decomposition process for the title compound in the two main thermal decomposition steps were calculated through the Friedman and Flynn-Wall-Ozawa methods and the thermal decomposition mechanism of DPTDEDA was also studied with the Coats-Redfern and Achar methods.

以TG-DTG为手段，研究了 N ， N ′-二(5，5-二甲基-2-磷杂-2-硫代-1，3-二噁烷-2-基)乙二胺在空气中的热分解动力学，利用Friedman法、Flynn-Wall-Ozawa法对DPTDEDA进行了动力学分析，求出了该物质两个主要的热分解阶段的热分解动力学参数，同时利用Coats-Redfern法、Achar法研究了该物质的热分解机理。

The photo decomposition reaction of lead styphnate is a simple thermal decomposition reaction, in which light energy rise will increase the rate of decomposition reaction of lead styphnate and the decomposition reaction has clear stages at higher light energy.

激光束能量增大能明显地提高斯蒂醋酸铅的分解反应速率，而且在较高的光能量下，分解反应出现明显的阶段性。

Mainly, the article divides into six contents: system development background and method of exploitation, demand analysis, system analysis, system design, system implementation and conclusion. In demand analysis, has established first with the example model, and comes the detailed description through the active chart to use the example. Through the sequence chart and the VOPC chart, I completed the definition of boundary, control and data entity of the fore-platform in system analysis. The system design mainly has carried on the detailed design to kind of and the database.

在需求分析中，先建立了用例模型，通过文字和活动图来详细的描述用例，确定了前台子系统的各个功能模块；系统分析中，使用序列图和VOPC图完成了对系统运作过程中涉及的界面、控制、数据实体的定义；系统设计主要主要对类及数据库进行了详细的设计；系统实施中，对前台子系统的物理部署、实施环境进行描述，包括系统的主要界面和部分代码。

The 3-day Chart should be kept on a separate sheet of chart paper from the Daily high and low Chart and Trend Line.

3日图要与日高低点图表和趋势线图表纸分开单独记录。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我