收敛

Furthermore, without any assumption, the global convegence is proved.

在不需要任何假设的情况下，证明了算法的全局收敛性。

In 3D scalar Helmholtz equation computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by The GMT.

首次从理论上证明，在三维静电场分析中，存在一种无穷级数收敛，且有一定普遍性的解析解；推导出三维静电场分析的多极理论通解及其使用规则，证明或解释广义多极技术不能证明或解释的若干使用规则，用多极理论求解工程实际中的三维静电场边值问题。

The relationship between the topology and convegence of networks is approached and the reason causing overtraining and overfitting is analysed. Then the redundant weights and nodes in the network are defined by using improved activity function and a new algorithm called the BPNSO for determining the network structure for any application is proposed, which use dual optimization objective function combining the mean squre error of the network output with network complexity penalty function.

文章对网络拓扑结构与网络收敛性和稳定性的关系进行了探讨，分析了网络出现Overtraining或Overfitting的原因和解决的目标，提出了神经网络结构优化的策略，改进了活化函数，定义了冗余权值和冗余节点的概念，为辨识和删除冗余权值和冗余节点，提出采用优化目标函数中增加网络复杂度罚函数的双重优化目标函数，并对罚因子提出了基于学习误差和权值的自适应动态调整公式，论文定义了这种BP网络结构优化方法为BPNSO，并给出了完整的计算流程。

In 2D eddy current field computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by the GMT, and solves several real engineering examples of 2D eddy current field boundary-value problems by the MT.

本文从电磁理论和有关数学定理出发，通过引入内极、外极、内交角的概念，建立一种新的电磁场计算体系——电磁场分析中的多极理论；从理论上证明，在电磁场分析中存在一种无穷级数收敛，且有一定普遍性的解析解。

Compared with the result of the SOR method, the result of this algorithm shows the algorithm can accelerate converg ence.

比较了该算法和用超松弛法计算的结果，表明采用该算法确实可以加快收敛速度。

The practical simulation results show that the improved genetic algorithms has greater converg e speed and larger probability of getting the best solution.

实例验证表明，改进的遗传算法的收敛速度和获得全局最优解的概率都有很大的提高。

Two strategies, optimizing hill- climbing and large- scale gene mutation, are used to overcome the disadvantages of the primary hybrid algorithm, which easily converg to local optima.

用遗传与模拟退火相结合的混合算法对信道分配问题进行研究，并通过加入"寻优式爬山"与大规模基因突变两种优化方法对混合算法进行改进，克服了一般遗传算法收敛速度慢以及易于陷入局部最优解的缺点。

All iterative procedures converg...

在整个迭代计算中，反复采用快速傅氏变换，使迭代解很快得到收敛。

This is essential to be applied in places where the kitchen walls and worktop edges converge.

这是必不可少的过程中应当适用的地方，厨房的墙壁和worktop边收敛。

The simulation results show that the new algorithm can rapidly converge.

仿真实验证明，改进蚁群算法的收敛速度明显提高。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐