收敛性的

From 1978 to 2000, there was not σ-convergence of the PGDP growth in Jiangsu province; From 1984 to 1993 and since 1999, there was not σ-convergence of the per capital net income of rural households growth, but from 1993 to 1999, there was a -convergence; From 1978 to 2000, there was not absolute β-convergence of the PGDP growth in Jiangsu province, but there was conditional β-convergence and the convergence intensity was feeble, half-lifecycle is comparative long, the least half -time of the undeveloped region will catch up with the developed region was 115 years; From 1994 to 2000, there was club-convergence hi the northern Jiangsu and the Middle Jiangsu, but there was not club-convergence in the northern Jiangsu.

第四，基于经济增长收敛的理论与方法，对江苏省区域经济发展的收敛性进行了研究。1978一2000年，江苏省人均GDP总体上不存在u一收敛；农民人均纯收入增长在1 984一1993年及1999年以后不存在a一收敛、在1993一1999期间存在a一收敛；1978-2 000年，人均GDP增长总体上不存在绝对p一收敛，但存在条件p一收敛，收敛的程度较弱，半生命周期比较长，落后区域要缩小与发达区域经济差异的一半最少也需要115年；1 994一2000年，在经济比较发达的苏南和苏中内部存在俱乐部收敛，在苏北内部不存在俱乐部收敛趋势。

FR conjugate gradient methods with perturbations are proposed. The global convergence property of the first method is proved under the condition of main directions' sufficient descent. Whereas, in the proof of the convergence for the other two methods, we only need main directions' descent. Importantly and quite interesting, boundedness conditions such as objective function being bounded below, boundedness of level set are not needed. Chapter 5 presents a version of Dai-Yuan conjugate gradient method with perturbations.

在主方向充分下降的条件下证明了第一个方法的全局收敛性，而后两个方法的收敛性是在主方向下降的条件下证明的，这些收敛性证明的一个共同特征就是不需要目标函数有下界或水平集有界等有界性条件，第5章采用Wolfe或Armijo步长规则提出了带扰动项的Dai-Yuanabbr。

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性，得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理，并指出了单调序有界模糊数列未必截收敛、收敛。

In this paper, the relevant definitions and theorems of function series continuity and function of the carried out a detailed convergence analysis, so that readers of their intrinsic relationship between the more detailed understanding.

本文通过相关定义与定理对函数的连续性及函数项级数的收敛性进行了详细的分析，使读者对它们之间存在的内在关系有更详细的认识。关键词：函数列；函数项级数；连续性；收敛性；一致收敛性

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

They didn't possess strong convergence and quadratic convergence rate,more-over,their convergence properties and rate of convergence were only local.

无强收敛性和二次收敛率，甚至收敛性与收敛速度只是局部的。

The existence of pointwise robust convergent algorithm and uniformly robust convergence is next investigated. We propose an optimal l〓 robustness synthesis method for structured perturbations system by taking advantage of the famous Small Gain Theorem.

证明了最优l〓辨识算法的存在性；证明了黑箱辨识存在辨识算法使全局误差收敛于有界区间；提出并证明了逐点鲁棒收敛算法的存在性；证明了一致鲁棒收敛算法的存在性。

An explicit definition of local peak is shown, and the existence condition of local peak is given. It is proved that the GA is constringent at the neighbor of its local peak. The theoretical evidences of some improvements on GA are given, which points out the way forward for improving GAs performance.

关于遗传算法的收敛性研究的一些典型结果包括：文献 [2 ]分析了在种群规模无穷的情况下典型遗传算法的收敛性；文献 [3]证明了典型遗传算法不收敛，而如果对算法采取记录每一代中最佳个体的策略，则改进的算法收敛；文献 [4]提出了一种等价的遗传算法，并给出了收敛条件与收敛速度；文献 [5 ]研

I obtain more accurate results such as, the convergence for JOR. In 3.4, I analyze the convergence of SOR.In 3.5, I study the convergence of MSOR.

如3.3节JOR迭代法的收敛性分析 3.4节研究了SOR迭代法的收敛性分析3.5节研究了MSOR迭代法的收敛性分析

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。