分解

Polar decomposition of deformation gradient in three dimensional states is often rather difficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley-Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrix's property, and gives a computation formula for polar decomposition.

变形梯度的极分解在平面问题中得到了很好解决，在三维空间问题中一直认为是相当困难，利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法，文章利用正交矩阵的特性，介绍了非线性逐次消除的方法，给出了右极分解的计算式。

Chapter six presents such new concepts as margin utility contribution force, profit-risk exchange rate, state-expectation-variance utility function, long-term expectation-variance utility curve and optimal portfolio expansion curve. The state-expectation-variance analytical method is developed from the expectation-variance analytical method. The changing rate of profit-risk exchange rate to state variable is used to define and distinguish the decreasing, constant and increasing relative risk aversion. A decomposition formula about the margin contribution force of holding wealth to state-expectation-variance utility function is displayed. The decomposition formula demonstrates that the contribution force of investors' holding wealth to their utility is composed of the pure contribution force of holding wealth and the investment contribution force bronght about through investment portfolio.

第六章提出了边际效用贡献力、收益—风险替换率、状态—期望—方差效用函数、长期期望—方差效用曲线、最优证券组合扩展线等新概念；把期望—方差分析方法发展成状态—期望—方差分析方法；用收益—风险替换率对状态变量ω的变化率来定义和区分递减、定常、递增相对风险厌恶；获得了持有财富对状态—期望—方差效用函数的边际贡献力的分解式，该分解公式表明投资者的持有财富对他的效用的贡献力由持有财富本身的纯贡献力和持有财富通过投资证券组合所产生的投资贡献力所组成。

The addition of the polyaluminophenylsiloxane during the curing of the resin raises the initial temperature of decomposition of the methyl group and lowers that of the phenyl group.

当引入聚铝苯基硅氧烷作为硅树脂固化催化剂，可提高其甲基的起始分解温度，同时降低苯基的起始分解温度。

Li-tower construction is not decomposition group of conditions, and more flexible light industrial equipment, construction methods vary, resulting in the current construction site, they use a decomposition group of tower approach.

分解组立铁塔不受施工条件限制，并且工器具比较灵活轻便，施工方法多样，因此在目前施工现场大多采用分解组塔的方法。

In order to make good use of resources in collaborative design and shorten product developing time, the principle on task decomposition with methods of assignment from tasks to dynamic and static teams are proposed on the basis of task decomposition tool.

项目的成功依赖于全体参与者的协同工作，为保证协同设计资源的合理利用及缩短开发时间，文章在分析模块化产品开发过程的基础上，提出了在任务分解器基础上任务分解的原则，以及任务到动态及静态开发团队分配的模型，并在此基础上给出了任务调度器的框架。

Second, analyzing principle of the singular value decomposition and the principle of wavelet transform deeply at all levels, as well as the impact to image processing and singular value decomposition wavelet analyzing, focus on single watermarking and double watermarking algorithm based on the discrete wavelet transform.

其次，深入分析了奇异值分解的原理和小波变换的原理以及图像处理对各级小波分解和奇异值分析的影响等，重点研究了基于离散小波变换的单水印和双水印算法。

The paper first introduces the basic principle of Karhunen-Loeve decomposition for stochastic processes, and outlines the essential properties of the decomposition. A method based on the Hartley orthogonal bases is proposed to decompose stochastic processes.

介绍了随机过程Karhunen-Loeve分解的基本原理，指出了其在随机过程展开中所具有的优势与局限性，针对Karhunen-Loeve分解在求解特征问题中存在的困难，采用Hartley正交基作为展开函数，发展了一类基于Hartley正交基的随机过程展开方法。

This thesis summarizes the main points of the decomposition method: the principle, the Adomian polynomials, the convergence results, the noise terms and the partial solution technique.

本文概述了分解方法的主要方面，包括基本原理，Adomian多项式，收敛性分析，噪声现象以及部分解技术等。

For the inconsistency and paradox between the traditional accounting result of the contribution ratio of export to economic growth and the positive conclusion of the contribution made by export to economic growth, this paper considers that the main reason for this paradox is that, when the contribution ratio to GDP of consumption, investment and export is measured by traditional method, the different effects of import in the gross accounting of GDP and the decomposing calculation of contribution ratio is confounded, then, the principle of matching decomposition of import item in consumption, investment and export is disobeyed, so the real contribution of export to China's economic growth is greatly underestimated.

针对出口对经济增长贡献率的传统测算结果与出口对经济增长实证结论之间的矛盾和悖论，本文认为造成这一悖论的主要原因是传统测算方法在考量消费、投资和出口对GDP的贡献时混淆了进口在GDP总量核算和贡献率分解核算中的不同作用，违背了贡献率核算中的进口项在消费、投资和出口中的匹配分解原则，从而大大低估了出口对中国经济增长的真实贡献。

This paper investigates the decomposition of diagnosis problem and gives a theorem for decomposition and combination of the diagnosis.

对诊断问题的分解进行研究，给出了候选诊断的分解与组合定理。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。