查询词典 matrix of coefficients

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的；还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件，并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

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。

The other is called Householder transformation method, in which the matrix of inconsistent equation group is orthogonalized and triangulated using Householder transformation, and then the Zernike coefficients can be worked out by using a backsubstitution technique. It is proposed for the first time. Being a method that can avoid the computational error effectively and can be easily performed, it has proven to be a feasible and efficacious algorithm.

特别是第二种方法由本文第一次提出，它避免了构造法方程组，从而避免了以前的方法因构造的法方程组出现严重病态而引入的计算误差，并且易於编程，因而是一种比较理想的实现Zernike多项式拟合的算法。

A matrix of influence coefficients betweenelements is first calculated.

首先计算了单元间影响系数所组成的矩阵。

We also describe that it exists the coefficients matrix of the MixColumn operation in Rijndael which satisfy that the encryption and decryption can share the same operation.

4从改变Rijndael的变换常量这一全新的角度降低了其实现的代价，包括软件和硬件的实现代价，尤其是硬件实现代价。

Both the matrix of correlation coefficients and the pedigree of factor clusters show that some factors are correlated closely to each other;while others are relatively independent.

相关系数矩阵和聚类谱系图两者都表明有些因素之间的相关性很大，有些即相对独立。

To extract the parameters in partial coefficients matrix of potential efficiently in silicon substrate integrated circuits, an approximated closed-form three-dimensional multilayered Green's function is derived with a modified complex fitting the exponential function method in spectral domain.

为了有效地提取硅衬底集成电路中导体单元之间的电位系数矩阵，在谱域中采用了改进的复数拟合指数函数方法，导出了三维有耗多层介质中的近似闭式格林函数。

First, four groups of filter coefficients matrix for DCT domain deblocking are deduced. Then frequency characteristic parameters are extracted to instruct the selection of the filter coefficients matrix. The selected filter coefficients matrix multiplied with the DCT coefficients and the blocking artifacts is alleviated in the filtered DCT blocks.

在DCT-AFBAR算法中，首先推导出四组用于DCT域滤波的系数矩阵，然后根据解码块的频率特征参数来选取当前DCT块滤波所使用系数矩阵，最后将相应的DCT系数块与选好的系数矩阵进行相乘，即得到消除了块效应的DCT系数块。

The covariance matrix of receive data is eigendecomposed. and the signal subspace is obtained. Then the channel vector is projected onto the subspace, and more accurate channel vector is obtained. According to the beamforming algorithm, the detection filter coefficients are calculated.

将接收数据的协方差矩阵进行特征值分解，得到信号子空间，将存在估计误差的信道矢量向该子空间投影，就可以得到较为准确的信道矢量，然后利用波束形成计算出检测滤波器的系数。

For most matrix of A,the linear diffrentiable equations with quasi-periodic finitely differentiable coefficients are reducible.

证明了对大多数的矩阵A，一类系数为有限次可微的拟周期线性常微分方程组是可约的。

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