函数矩阵

In Chapter 4 windowed function of data signal processing is introduced and applied to addition theorem, which succeeds in solving the difficult problem: it has a bad result when recursive T-matrix is applied to calculate the wave scattering of electrically large objects and multiple objects in the excitation of TE wave.

在第四章中引入数字信号处理中的窗函数，成功解决了在入射波为TE波时，用递推T矩阵法计算电大尺寸物体或多个散射体时，精度不高的问题。

A succinct analytic expression can not be obtained, when the reachability graph of the ASPN is very large.

由于ASPN的可达图很大时不能得到简洁的表达式，为克服这个难点，我们又提出了矩阵矩母函数方法。

Without presuming the activation functions to be continuous, bounded and monotone nondecreasing, by utilizing linear matrix inequality and Cellina approximate selection theory in differential inclusion, a sufficient condition is provided to ensure existence of periodic solutions for that recurrent neural networks.

在并不要求激励函数连续、有界及单调非减的情况下，通过利用线性矩阵不等式和微分包含中的Cellina近似选择定理，得到了该神经网络模型存在周期解的充分条件。

By means of generalized Lyapunov function and linear matrix inequality,the asymptotical stability with zero solution is studied for the system,and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint .

针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题，利用广义Lyapunov函数和线性矩阵不等式，首先对系统的零解渐近稳定问题进行了研究，并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件，之后设计了状态反馈H∞控制器，使闭环系统具有同样的性能，最后给出了数值算例说明本文结论的有效性和可行性

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

For the beam buckling problem, this paper presents the Barycentric Lagrange interpolation collocation method to get the differentiation Matrix of unknown function.

采用重心Lagrange插值多项式建立未知函数的微分矩阵，采用配点法将梁的控制方程表示为代数方程组。

Differential matrices are obtained on the element in accordance with continuous intervals of discontinuous boundary value problem to divide the computing elements and approximating unknown function on the element in term of barycentric Lagrange interpolation.

按照间断边值问题的连续区间划分计算单元，在每一个单元上采用重心Lagrange插值近似未知函数，得到每一个单元上的微分矩阵。

A very important result of modified model is that leads to coupling between elastic volumetric stress and elastic deviatoric strain behavior.

论文研究了弹性体积及剪切模量对Gibbs自由能函数的贡献，构造土体的Gibbs自由能函数，对柔度矩阵进行修正。

A recursive matrix method is adopted for computing the magnetic-current-source dyadic Green′s function in anisotropic media. The response of multi-component induction logging in layered and deviated anisotropic formation is simulated by using the obtained dyadic Green′s function. The influence of coil spacing, bed thickness, deviation angle and shoulder bed on the response is analyzed.

采用递推矩阵方法计算各向异性介质的磁流源并矢Green函数，并利用上述并矢Green函数对层状各向异性倾斜地层中多分量感应测井的响应进行数值模拟，分析了线圈距、层厚、倾角和围岩对多分量感应测井响应的影响。

Compared with results obtained from the eigenstates of the quantumbaker's map,it is found that,with the presence of scars,the fiuctua-tions of the statistic functions obtained from the eigenstates of the quantum baker'smap will be greater than these obtained from the random matrices,and tend to zeromuch slower in the semiclassical limitation of N tends to infinity.

与由量子面包师变换的本征态得到的结果相比较，我们发现，疤痕的存在使得由量子面包师变换的本征态得到的统计函数的涨落比由随机矩阵得到的统计函数的涨落要大，并且在N趋向于无穷的半经典极限下，以较慢的速度趋于0。

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。