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Our main results are as follows: we have given a non-trivial estimate for a class of rational exponential sums,and the best possible upper bound for a class of characters sums with exponential functions.

我们的主要结果是：给出了一类有理指数和的非平凡估计，以及一类特征和的最佳上界。

A systematic introduction is given to a class of new high power goodness-of-fit test based on EDF (Empirical Distribution Function), which comes to be used in the last decade, and a study on the logistic structure and sample size modified method of this class of statistics is conducted.

系统介绍了近年来发展起来的一类以EDF统计量为基础的高效母体分布拟合优度检验方法，探讨了这类检验方法的逻辑结构和子样容量修正方式。

There are so many similarities between the new class of RH〓 and the class A〓, it is to be expected, therefore, that the Jones'factorization theorem for A〓 weights might be extended to include some information about the reverse H〓1der classes via those results concerning RH〓-weights, and we do it.

具体地说，就是借助于极小算子定义了RH〓算子，类似于A〓权的分解，我们对RH〓权的结构做了细致的刻划；第四、我们定义了一类新的算子—几何极小算子并致力于把A〓权的结果推广到鞅论上。

The next year, they were a battery at Class A Oneonta. Pettitte showed off a knuckleball for a coach, Hoyt Wilhelm, who had mastered the pitch in a Hall of Fame career.

隔年他们在Class A投捕，安迪秀了一球蝴蝶球给教练Wilhelm看，这是的教练Wilhelm名誉满堂的拿手绝活。

Also, this dissertation established a sufficient condition for ILC convergence of a class of uncertain nonlinear time varying systems with a discussion on the convergence speed. Furthermore, for a class of linear systems, frequency-domain convergence analysis has been provided for a closed-loop type ILC algorithm with a convergence speed comparison with the conventional Arimoto-type open-loop ILC algorithm.

同时还给出了存在不确定及干扰非线性时变系统迭代学习控制收敛的充分条件，并对闭环迭代学习控制收敛条件和收敛速度进行了频域分析和讨论。

By the definition of Green-relation and the analogue of generalized Greens lemma, this paper first studied some properties of H-class、 D--class of rpp semigroups, then by left S-system 、-bisystem and tensor product, we described a blocked Rees matrix semigroup. Especially, the paper studied primitive rpp semigroups .

本文利用在rpp半群上定义的广义Green~(l-关系及相应的广义Green定理，首先研究了rpp半群H~(l-类、D~(l-类的若干基本性质，然后以左S-系、-双系和张量积作为工具，刻画了块Rees矩阵半群结构，最后从带零的本原rpp半群出发，构造出A型块Rees矩阵半群，并证明了一个半群S为本原rpp半群，当且仅当S同构于一个A型块Rees矩阵半群。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

In chapter 2, we firstly introduce the model of a discrete-time neural network with generalized input-output function. The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和该模型在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

In Chapter 3, the skew-ring congruence of regular semiring and qusi-regular semiring are characterized by using of a class of special ideals and a representation of a class of a skew-ring congruence is given by using of a quasi-order on semirings.

第三章，根据环的理想和同余的对应理论，利用半环的一类特殊理想给出了正则半环与拟正则半环上的skew-环同余的刻划；并且利用半环上的一个拟序给出了skew-环同余类的一种表示。

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。