可以分解的

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法，在讨论了矩阵的QR分解方法的基础上，推导得出了矩阵QR分解与广义逆矩阵的关系，得出了可以直接利用QR分解求解矩阵的最小二乘逆，并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式，最后通过重力异常实例进行了计算，得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

Tissue design module can realize the function of tissue integration and tissue disintegration, Tissue integration can obtain many kinds of tissue pattern because of the different method of pulling on heddle.

组织设计可以实现组织的综合以及分解，综合可以通过各种穿综方法获得不同的组织意匠图，而组织的分解可以由组织图分解得到某种穿综方式的穿综图和纹板图。

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。

The project proposed and established the strict unique mathematical model of instantaneous frequency aiming at the currently existed problems in Hilbert Huang Transform form the viewpoint of physical connotative meaning; proposed and established the strict mathematical model of general intrinsic mode signal based on the concept of general continuous intrinsic mode signal and the compositive principle of practical general intrinsic mode signal; researched and proposed the fitting method of envelope lines in HHT from the viewpoint of theory, conquered the blindness and random in quondam EMD envelope line fitting and boundary treatment; developed a virtual time-frequency analyzer based on general intrinsic mode signal decomposition to open out the local time-frequency characteristics of nonlinear and nonstationary signal more deeply and accurately.

本项目针对希尔伯特-黄变换现阶段存在问题，从物理内涵的角度提出并建立了瞬时频率严格的唯一的数学模型；基于连续性的一般固有模态信号的概念和实际信号的一般固有模态信号的组成原理，提出并建立了一般固有模态信号严格的数学模型；从理论角度研究并提出HHT中的包络线构造方法，克服了原EMD的包络线构造和边界处理的盲目性和随意性；研发一台基于一般固有模态信号分解的虚拟式时频分析仪，使之可以更深入、准确地揭示非线性非平稳信号的时频局部特征。

Based on the outcome of Xu Yang and Qin Keyun about lattice implication algebra and lattice-valued prepositional logic LP with truth-value in a lattice implication algebra, the author studied the properties of lattice implication algebra and the α-automated reasoning method based on α-resolution principle of LP. The specific contents are as follows: The Study of Lattice Implication Algebra On the basis of previous results of lattice implication algebra, this part consists of the following three points: 1. Some properties of lattice implication algebra L were discussed, and some important results were given if L was a complete lattice implication algebra. 2. The properties of left idempotent elements of lattice implication algebras were discussed, and the conclusion that lattice implication algebra L was equals of the directed sum of the range and dual kernel of a left map constructed by a left idempotent element was proved. 3. The properties of the filters of lattice implication algebra were discussed, the theorem was shown that they satisfy the hypothetical syllogism and substitute theorem of the propositional logic. 4. The concept of weak niters of lattice implication algebras and their properties and structures are discussed. It is proved that all weak filters of a lattice implication algebra form a topology and the the implication isomorphism betweem two lattice implication algebras is a topological mapping between their topological spaces. The Study of α-automated reasoning method based on the lattice-valued propositional logic LP In this part, the author given an a-automated reasoning method based on the lattice-valued propositional logic LP.

本文基于徐扬和秦克云的关于格蕴涵代数和以格蕴涵代数为真值域的格值命题逻辑系统LP的研究工作，对格蕴涵代数以及格值命题逻辑系统LP中基于α-归结原理的自动推理方法进行了系统深入的研究，主要有以下两方面的研究成果：一、关于格蕴涵代数的研究 1、对格蕴涵代数的格论性质进行了研究，得到了当L为完备格蕴涵代数时，关于∨，∧，→运算的一些结果； 2、对格蕴涵代数的左幂等元进行了研究，证明了格蕴涵代数L可以分解为任何一个左幂等元所对应的左映射的像集合与其对偶核的直和； 3、对格蕴涵代数的滤子的性质进行了研究，证明了滤子的结构相似于逻辑学中的Hypothetical syllogism规则和替换定理； 4、给出了格蕴涵代数中弱滤子的概念，对弱滤子的性质个结构进行了研究，证明了格蕴涵代数的全体弱滤子构成一个拓扑结构，格蕴涵代数之间的蕴涵同构是相应的拓扑空间之间的拓扑映射。

Reduced SQP based on orthonormal bases, orthogonal bases and coordinate bases are studied and compared. With the correction item introduced, the null-space move is adjusted and the reduced SQP based on coordinate bases decomposition is improved.●The key problem of steady-state data processing for RTOPT is studied. A new algorithm of simultaneous strategies for data reconciliation and gross error detection is proposed. Here the objective function that is constructed using maximum likelihood principle and joint distribution function is minimized. Efficient algorithm is developed which exploited the nonlinear lease-square structure of this objective function.

仿真结果表明了算法的有效性；●深入研究了在线优化中的一个关键问题——稳态数据处理问题，用基于组合概率分布的目标函数联立求解粗劣误差检测和数据调和问题；以精馏塔在线优化的数据处理和模型修正为例，提出一种根据模型方程对参数的依赖性进行过程模型分解的分层策略，可以将数据调和和参数估计统一在数据处理的大框架中，为进一步的过程性能分析、操作状况评价以及在线优化提供可靠的基准，具有非常重要的工程应用价值；●将优化命题的形式扩展到更通用的形式。

In a small fashion, the semibreve's division coule be divided into three minima(prolatio perfetus or major prolation) or two minima(prolatio imperfectus or minor prolation) and , at the higher level, the longs devision could be three or two breves(modus perfectus or perfect mode, or modus imperfectus or imperfect mode respectively).

类似的方式是全音符的分解（被称为prolation），全音符可以被分解成3个最小值（被称为prolatio perfectus 或者major prolation）或者2个最小值（被称为prolatio imperfectus or minor prolation），在一个更高的分级中，longa的分解，可以被分解成3个或者2个二全音符（被称为modus perfectus or perfect mode，或者modus imperfectus 或者imperfect mode respectively）。

Furthermore,the stability behavior and accuracy characteristics of the algorithmare proven by a spectral decomposition method.

在前人工作的基础上，提出了一种新的用于解决结构动力分析问题的时间积分方法——Taylor级数方法；建立了求解线性问题和非线性项可以表示为多元多项式形式的非线性问题的Taylor级数方法的理论，并给出递归求解通式；阐述了该方法的程序实施过程，给出了计算流程图，并在非线性有限元分析平台NFAP中嵌入了Taylor级数方法的计算模块；利用谱分解的方法分析了该方法的稳定性和精度特性，以封闭的解析形式给出了描述积分法特性的周期延长率和振幅衰减率的表达式；通过对该方法的理论分析和特性研究，阐述了该方法的可行性和高效性。

The paper obtains some conclusions after many theories analysis and empirical tests: Firstly, Volume-price relativity is extensive: total volume or it's change, disassembled volume promoting price movement or it's change all has plus relativity to equilibria price. Secondly, there is unilateralisms Granger casuality in bullmarket, while there is bidirectional Granger casuality in bearmarket. There is not nonlinear Granger casuality in both markets. Third, Behavior finance has remarkable effects after contrasting to different investment conditions. Moreover, causality research by moving tendency can reflect the stable relation while usual causality research can't do. Fourth, it can be ture forecasing key period of tendency reversion by building volume-price elasticity coefficient containing composite information of volume-price and analysis methods of moving tendency.

本文大量的理论分析和实证研究得到以下结果：第一，量价之间的相关性具有广泛性，总成交量及变化、分解的促进股价变化的成交量及变化都与均衡价格收益有正相关关系；第二，在牛市中，收益和成交量之间存在单向的Granger因果关系，而在熊市中，收益和成交量之间存在双向的Granger因果关系，不论熊市和牛市，上证和深证量价间均没有非线性因果关系；第三，不同市场环境的比较中还发现行为金融在股市中的作用明显，通过比较发现依据运行趋势的因果关系分析能反映量价间的稳定关系，而常规因果分析方法却反映不出来；第四，通过建立包含量价信息的量价弹性系数指标和依据运行趋势的关键区域研究法，可以实现对趋势转变关键区域的预测。

Flame retardants may interrupt or change the decomposition process in several ways:(1)they may melt at relatively low temperatures and resolidify in the form of a foam, which serves as a barrier to heat transfer from the flame to the substrate;(2) they may be converted upon heating into acids or bases, which catalyze the decomposition of the substrate at lower temperatures than are required for the formation of volatile combustibles;(3 ) they may decompose orsublime upon heating to release large amounts of nonflammable vapors which exclude oxygen from the flame; or (4) they may react with chemicakl species within the flame to stop the combustion reaction.

阻燃剂可以从几个方面干涉或改变织物的分解过程：（1）阻燃剂在相对较低的温度时会熔化，然后重新固化成泡沫状，这样就形成了一个屏障，阻止了从火焰向织物的热传递。（2）阻燃剂受热时会分解成酸或碱，这些酸或碱在低于可生成挥发性可燃物的温度下可以催化织物的分解。（3）阻燃剂在受热时会分解或升华，同时释放出大量不可燃气体，这就阻止了氧气对火焰的供应。（4）阻燃剂可以与火焰中的化学物质起反应，使燃烧反应终止。

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