函数矩阵

Second,Principal component analysis is essentially a linear method based on the covariance matrix which reflects the linear dependence.

用能反映非线性结构的四阶累积量函数代替相关函数构造矩阵，对主分量分析方法进行改进。

Another reason is that the degree of linear independence of the variable basis functions composed by sigmoid functions decreases as the hidden nodes increasing, and this lead up to the inferior matrix condition number during learning, which forces the learning step length to decrease and the convergence speed to slow down.

一是因为未知系统复杂时需要较多的隐节点，从而学习的参数过多减慢了学习速度；另一个原因是随着隐节点数增加，由Sigmoid函数构造的可变基函数线性无关程度减弱，从而导致学习过程中矩阵条件数变差，迫使学习步长减小，收敛速度不得不减慢。

Firstly, the basic principles of MOM are reviewed, including the selection of integral equations, the choice of basis function and weight function, the solution of matrix equation and so on.

首先，本文回顾了矩量法的基本原理，介绍了积分方程方法的选取，以及快速多极子方法的基础-矩量法的关键技术，例如基函数和权函数的选择，矩阵方程的求解方法等。

This method was mainly built on the operator matrix's singular value decomposition in the first class of operator equations, and then the best regularization parameters were selected in accordance with the characteristics of singular value so as to identify filter function, thereby removing noise of the function.

该方法主要建立在第一类算子方程的算子矩阵进行奇异值分解的基础上，然后根据奇异值的特征选取最佳正则化参数确定滤子函数，从而达到对该类函数的噪声去除效果。

Analysis implies that when a different weighting matrix is used in the R-WSF method, the criterion function of the R-WSF method is asymptotically equivalent to that of the determinate maximum likelihood estimator and the classical WSF method, respectively.

理论分析表明，当加权矩阵取不同的值时，R-WSF方法的代价函数可以分别渐近地等效于确定性最大似然法和常规WSF方法的代价函数。

According to the state equation of dynamic system,the paper puts forward the calculating method of attenuation function of vibration mode by making use of system matrix.

根据运动系统的状态方程，利用系统矩阵得出了振型衰减函数的计算方法，并用衰减函数分析了刚度变化对高振型的影响，从而对地震作用计算中振型数目选取提出了几点有益的建议。

Applying whitening process and Gram-Schimdt orthogonalization and orthogonal subspace projection, an optimal transformation matrix is designed to minimize the ratio of intra-class distance to inter-class distance while imposing the constraint that different class centers after transformation are along specifically directions that are orthogonal each other.

以线性变换后样本的类内距离与类间距离之比最小作为准则函数，同时加上约束条件使变换后的样本中心沿着特定的正交方向，通过白化变换、Gram-Schimdt正交化和正交子空间投影求解约束准则函数得到最优变换矩阵。

Themethod is based on a decomposition of atomic wavefunction〓 into a product of a correlation factor 〓,partially describing the wavefunctioncharacteristics,and the other factor 〓,which is stillexpanded in the symmetric basis function of 〓permutation group.

将Li原子的波函数ψ分解为两项之积，即ψ=Xφ，X=exp-α（〓；而φ仍向〓群的对称基展开，得出超球径耦合微分方程，〓（1）其中，〓和〓为方阵，〓为对角阵，〓（2）再利用广义Laguerre函数展开法对其求解，得到系数矩阵的递推关系式。

Secondly, based on the piecewise continuous Lyapunov function andconstant Lyapunov function, the problems of robust guaranteed cost control forparametric uncertain sampled-data control systems are investigated by using the jumpsystem model and linear matrix inequality technique.

然后，针对参数不确定采样系统的鲁棒保性能控制问题，利用跳变模型和线性矩阵不等式技术，分别基于分段连续Lyapunov函数方法和定常Lyapunov函数方法研究了采样系统的鲁棒保性能控制器综合问题。

The computation of projection matrix is mostly considered for the choice of basis functions.

而对于各种连续可导的基函数，其重建精度大致相当，基函数的选取应重点考虑其投影矩阵计算的难易程度。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。