系数矩阵

I Under the general linear model with normal error vector and under convex or matrix losses, the necessary and sufficient condition for there to be UMRU estimators of any linear estimable function SXβ of regression coefficients are obtained.

i在误差向量遵从正态分布，在凸损失或矩阵损失下，得到了回归系数的可估线性函数SXβ的UMRU估计存在的充分必要条件。

In the inversion of re- flection coefficient, t...

迭代反演反射系数时，对于过渡矩阵没有对称正定的限制，从而改善了算法的稳定性，同时减少计算量。

The results have been compared with that by using coupled mode theory , Rouard s method and fundamental matrix method, and the accuracy.

用这一方法计算了均匀光纤光栅布拉格相位匹配、失配情况和非均匀光纤光栅的反射系数，并将其结果与用耦合波理论、Rouard方法以及基础矩阵方法的结果进行了比较，并检验了这些方法的精度。

The propagation equations for oblique and off-axial Gaussian beams passing through cat-eye optical lens are deduced by using the theory of matrix optics and expanding the aperture function into a finite sum of complex Gaussian functions.

运用矩阵光学理论以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，进一步推导了倾斜离轴高斯光束通过猫眼光学镜头的解析传输公式，通过数值计算分析得到了倾斜系数和离轴量对猫眼效应反射光光强分布的影响规律。

Furthermore, we express a real quaternionic polynomial with four general polynomials which have real coefficients, thus build direct relation between real quaternionic polynomials and general polynomials.

新方法以四元数的复表示及其可对角化的特征结构为理论基础，将问题等价为求解2×2矩阵多项式的可对角化解；进一步将四元数多项式用四个实系数多项式表示，建立了四元数多项式与一般多项式的直接关联。

The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms.

这些条文所涉及的主题是线性方程组的几何解释，在两个和三个有限对称群的分类方面，一个矩阵及其应用，以解决一阶常系数线性差分方程，系统指数赫尔维茨定理在二次形式组成。

The third way was deduced from the equation that the imaginary part of resistance is zero when it is.

通过在耦合微带谐振器对称面加电壁和磁壁法、用网络的转移矩阵计算插入损耗L法、以及滤波器谐振时回路的阻抗虚部为零的方法，推导了滤波器级间耦合系数的计算公式。

The incidence matrix of activity units is chosen to calculate the numbers of controlling elements to improve the efficiency and rate of getting cohesion coefficients.

提出了用活动单元关联矩阵图来计算约束结构中控制元数目的方法，提高了内聚系数计算的快速性和准确性。

The inverse polynomial and the invertible affine transformation exist by the finite field, linear algebra and matrix theory. The invertible affine transformation and the inversion in are easily realized by using lookup table. An algorithm can be used to get the inverse element of modulo .

本文运用有限域、线性代数和矩阵理论，论证了逆多项式和逆仿射的存在性，并且应用查表法简捷地实现了中元素的求逆和逆仿射变换；设计了一个易于在在计算机上实现的算法，来求形如的多项式模时的逆元，该多项式的系数在上。

Using the Mindlin theory, the four-node finite element shell modal of healthy and damaged structure is formed; Using Green Function theory, the fluid around the structure is considered to be inviscid, irrotational and incompressible, and then the effect of fluid to structure is translated to the added mass matrix compared with global mass matrix using BEM.

基于Mindlin理论，本文建立了描述健康和损伤的四结点有限元板壳单元模型；基于Green函数理论，将结构所处的流体环境考虑为无粘、无旋、不可压缩的理想流体，推导了三维问题拉普拉斯方程的基本解，并利用边界元方法将流体对结构的影响归结为对结构整体质量矩阵的影响；针对各向同性损伤单元，采取刚度各向整体弱化的方法分析；对于各向异性损伤单元，采用Kachanov理论，引入了x和y两个方向的弹性损伤折减系数。

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