系数矩阵

The common method, that all strong-correlation terms of the model are eliminated, can bring the loss in the engineering application, so the new method is proposed that the identified model reserves some correlation. The augmented matrix A is constructed by the outputΔW and the matrix S. The"determinating order based on ratio of determinant"is brought out to screen the strong-correlation terms in the structure identification. The latent root estimation is improved in screening the eigenvalues and eigenvectors. Thus the estimation precision is improved greatly.The consistence check of guidance instrument error coefficients of flight test and ground test is the purpose of flight experiment. The causes of inconsistency of the two models are analyzed. The hypothesis test of linear regression model based on F statistics is proposed to check the consistence.Finally, the instability of error coefficients is probably caused by the change of the flight environments, therefore, the relation between the error coefficients and flight environment is analyzed. The approach is presented to identify SINS guidance instrument error models and compensate the error in the segmented sections corresponding to the change of vertical acceleration of aircraft.

在结构辨识中，常用的方法由于将模型中的强相关项全部剔除而给工程应用带来损失，因此，本文提出了新的有益思想，即在保留一定相关性的基础上进行辨识：将输出向量ΔW与环境函数矩阵S构成增广矩阵A，然后采用"比定阶行列式"来剔除相关向量的方法，这样既可以尽可能多地保留了对落点影响大的强相关参数，又可以对落点影响小的强相关参数给予剔除；在参数估计中，改进了特征根估计中特征根和特征向量的筛选方法，提出"近零"准则，从而大大提高了参数估计的精度；再者，鉴于天地模型"一致性"检验是飞行试验和SINS制导工具误差系数分离的主要目的，因此，本文又深入分析了造成天地模型不一致的原因，提出了采用基于F统计的线性回归模型假设检验方法来进行捷联制导工具误差模型的天地"一致性"检验；最后，鉴于飞行环境剧烈变化可能会对惯性仪表误差系数稳定性带来一定的影响，因此本文深入地分析了SINS制导工具误差系数与外界环境的关系，提出了基于过载变化大小的分段辨识和分段实时补偿的算法。

This paper proposes s new method to construct wavelets decomposing and reconstructing matrices of wavelet coefficients without iterative calculation in symmetrical extension for finite length signal ,and correspondingly gives the base vectors and basis images of 9/7 wavelet. The matrices can be used for image-partition processing based on wavelet method.

给出了对称延拓方式下有限长信号不需逐级计算而直接得到小波系数的分解矩阵和由这些小波系数重构原信号的重构矩阵的构造方法，并给出了常用的相应于9/7小波的分解矩阵和重构矩阵及其基向量，它们可广泛用于基于小波的图像分块处理中。

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

In order to find a powerful assistant computation tool for further analysis and design of multilayer optical coatings,an analytical model is mathematically established for accurate calculation of the first and second derivatives of the spectral coefficients of multilayer optical coatings with respect to layer parameters like thickness,real refractive index and extinction coefficient. It is based on the matrix theory of calculating the spectral coefficients of multilayer optical coatings and is achieved by perfectly using the trace operation of matrix.

为了寻找一种膜系深入分析与设计的有力辅助计算工具，从光学薄膜光谱系数的矩阵计算理论出发，基于对矩阵求迹运算的巧妙运用，从数学上建立了准确计算膜系光谱系数关于膜层几何厚度、实际折射率和消光系数等膜层参数的一阶和二阶偏导数的解析模型。

Finally, the method is demonstrated with some oil derrick.

首先，应用当量损伤系数作为判别损伤是否存在与程度大小的综合评价指标，建立了损伤刚度矩阵；其次，确定了应力与当量损伤系数之间的函数关系，推导了应力残差矩阵对当量损伤系数的灵敏度表达式；然后，构造了基于应力的目标函数，提出应用正算过程和优化方法反演识别当量损伤系数；最后，用该方法对某石油井架进行了损伤识别。

First we construct a covariance matrix from sample images, then compute the eigenvalues and corresponding eigenvectors of the covariance matrix, construct a feature matrix with the eigenvectors. Then every images in database can be projected into the feature matrix and gain a projection vector, so does the input image. Then we can judge the resemblance between input image with each image in database by computing the distance between their projection vectors.

我们首先根据采集的样本图像构造一个协方差矩阵，然后求取该矩阵的特征值，以这些矩阵特征值对应的特征向量构造出一个特征空间，然后将输入图像向该特征空间映射，将获取的映射系数与样本库中图像的映射系数进行距离计算，根据计算出的距离判定输入图像与样本图像间的匹配程度。

After the coefficients are quantized by a four-dimensional quantization matrix, most of them equal 0, and thus many zero planes appear in the submatrix.

用四维量化矩阵对变换后的四维子矩阵系数进行量化，量化后四维子矩阵中的变换系数大部分变成了零，这样就会在子矩阵中出现大量的零平面。

By perceiving the facts that average damages do not change the loading paths of a structure and that local damages will not increase component stiffness, the author presents the damage identification algorithms termed as Iterative Matrix Optimal updating and Constrained Submatrix Factor Adjustment .

根据一般损伤不引起荷载路径改变、局部损伤不会导致单元刚度增加等损伤问题的特点，提出损伤识别的"矩阵迭代优化修正法"和"带约束的子矩阵系数修正法"；并将子矩阵系数修正法推广为联合运用动力与静力测量值的损伤识别算法。

The complexity of bodywork decides variety of it's error. The station and primary factor which cause error is inconstant change and using correlation analysis can find out the primary factor. With an project given, the theory of correlation analysis for dimension variation of bodywork is discussed through correlation analysis and the layer structure of the bodywork,the state in which the error happened can be found out. How to use eigenva...

车体装焊的复杂性决定了误差产生的多因素性，车体制造过程中产生误差的工位和主要因素是不断变化的，采用相关性分析方法从众多的误差根源中准确地发现最主要的误差源；结合工程实践，论述了车体尺寸波动的相关性分析方法的原理，根据测量点的相关性分析和车体焊接工艺的层次结构，可准确地找到产生车体尺寸误差的工位；讨论了如何利用相关系数矩阵的特征值和相应的特征向量判断尺寸波动的模式，指出测量数据的波动主要按最大特征值所对应的特征向量方式波动，引起这种波动的原因是车体误差产生的主要原因，应重点采取措施加以控制；提出了应用计算机进行相关性分析的解决方案。

The method of influence coefficient matrix which is successfully used in the Sino UK project of the Riv.

本文介绍的影响系数矩阵法可以方便快捷地完成上述各项工作。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新