收敛性

By using the Lyapunov functional method and matrix theory, the critical dynamics behavior of recurrent neural networks with nearest point projection has been investigated. It is shown that such networks are globally convergent and asymptotically stable when the networks are nonlinear non-dilatation.

基于Lyapunov泛函方法和矩阵理论，本文研究一类被广泛应用的反馈神经网络―最近点投影型反馈神经网络的临界全局动力学性态，当网络具有非线性不扩张性质时，在临界条件下得到该类网络全局收敛性和渐近稳定性。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

Convergence and divergence of infinite series depend upon this concept.

无穷级数的收敛性与发散性与此概念有关。

There is no parameter involved,and the existence of global solutionof the initial value problem of the proposed network,its convergence and stability are strictlyproved by establishing a Lyapunov function.

构造了恰当的Lyapunov函数，证明了初值问题解的整体存在性，网络的稳定性和收敛性。

For its two special cases: N = 0 and R=0, based on nongradient and gradient methods respectively, neural networks for the two cases are constructed. With the Lyapunov theorem and the LaSalle invariant set principle, the proposed networks are proved to be

推广了R_0性质的定义，并证明无约束优化问题目标函数的水平集的有界性与矩阵对的R_0性质是等价的，最后运用Lyapunov稳定性理论和LaSalle不变原理，严格分析了网络模型的稳定性和收敛性，这些模

Based on ear recognition, an improved NMFSC(Nonnegative Matrix Factorization with Sparseness Constraints) method was proposed by imposing an additional constraint on the objective function of NMFSC, which could capture the semantic relations of coefficient matrix as orthogonal as possible. The interated rules to solve the objective function with the constraint were presented, and its convergence was proved.

针对人耳识别问题，提出了一种改进的稀疏性受限的非负矩阵因子方法，通过增加一个使系数矩阵尽可能正交的约束条件来定义原目标函数，给出求解该目标函数的迭代规则，并证明迭代规则的收敛性。

Based on ear recognition, an improved NMFSC (Non-negative Matrix Factorization with Sparseness Constraints) method was proposed by imposing an additional constraint on the objective function of NMFSC, which could capture the semantic relations of coefficient matrix as orthogonal as possible. The interated rules to solve the objective function with the constraint were presented, and its convergence was proved.

针对人耳识别问题，提出了一种改进的稀疏性受限的非负矩阵因子方法，通过增加一个使系数矩阵尽可能正交的约束条件来定义原目标函数，给出求解该目标函数的迭代规则，并证明迭代规则的收敛性。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

The relations among three kinds of structural characteristics of fuzzy measure:(1) pseudometric generating property;(2) pseudometric generating property of type p;(3) null-null additivity,and the convergence for sequence of measurable function on semi-continuous fuzzy measure space are discussed.

李军讨论了下半连续模糊测度的3种结构特性：(1)伪距离生成性质；(2)p类型伪距离生成性质；(3)零-零可加性与半连续模糊测度空间上可测函数序列的收敛性之间的关系。

In light of the convergence theorem obtained in Chapter 2, a result on topology preservation of 2-dimensional SOM algorithm with continuous inputs is given. In Chapter 4, an equivalence relation on n dimensional Euclidean space, called equi-action relation, is introduced and a number of properties on this relation are studied.

指出了已有的有关SOM算法拓扑保序定义的缺陷，并在此基础上，给出了一个具有连续输入的二维SOM算法的拓扑保序新定义；利用第二章中的收敛性定理，我们进而获得了一个具有连续输入的二维SOM算法的拓扑保序性定理。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。