收敛

And convergence factor and initial feedforward weight were designed according to convergence property and convergence velocity.

并根据算法收敛性和收敛速度设计收敛因子和权初值。

Because of the problem of convergence, the key techniques to complete the one step simulation were explored thoroughly. The geometry mapping method based on finite element model and inverse deformation was developed to get the approximate initial blank for one step simulation. The effective selection of convergence factor in Newton-Raphson method was studied. The divergence criterion in iterative process for one step simulation was put forward. Also the countermeasure to ill equations coefficient matrix was studied.

由于存在收敛性的问题，本文重点研究了一步模拟方法计算机实现的关键技术：提出了基于有限元模型的几何映射方法和反向变形方法来确定初始毛坯的近似解，研究了带收敛因子的Newton-Raphson方法中如何高效地选取收敛因子，提出了一步模拟迭代求解过程中的发散准则，并研究了病态方程组系数矩阵的修正方法。

To overcome the premature of simple genetic algorithm, the calculating efficiency of SGA is improved by the following two ways; Firstly, in order to ensure convergence of algorithm and reduce influence factor of convergence, elitist selection and adapted crossover and mutation operator are adopted. Secondly, because this study deals with finding minimize volume of structure, to quicken convergence of this problem, in line with mechanics criterion the paper carry out mutation to some genes in chromosome according to variations of internal force. This will let algorithms to search answer with our hoping directions.

针对基本遗传算法存在早熟的问题，本文主要从两个方面进行了改进，首先为了保证算法的收敛和减少影响算法收敛因素，采用了最优保护策略和自适应的交叉和变异算子；其次，由于本文研究内容涉及求结构最小体积问题，为了加快此类问题的收敛速度，本文结合结构优化中的力学准则，对个体染色体中的某一段基因按照内力变化进行变异操作，使得算法按一定方向进行搜索最优解。

The optimal convergence rates in H-1 and L-2 norms are proved, and the convergence order in L-2 norm is one order higher than that in H-1 norm.

并分别给出了解的H-1模和L-2模的最优收敛阶估计， L-2模收敛阶比H-1模收敛阶高一阶。

Convergence, convergence in probability, and convergence in distribution. And some sufficient and/or necessary conditions are also given.

收敛、统计依概率收敛的充要条件或充分条件，此外还讨论了几种收敛性之间的一些关系。

The convergence width and radius are used for evaluating the measure convergence.

对于收敛性能的评价，提出收敛宽度和收敛半径的概念。

In this paper, find Euler's formula using double integral , power series convergence and uniform convergence in the convergence region.

本文利用二重积分公式，幂级数在收敛区间内的收敛性质、一致收敛性质及可逐项积分的性质来证明Euler公式

The convergence problem in normed space has been analysised firstly in thistext. It is similar to weak convergence property.

本文首先分析了赋范线性空间的收敛问题，它是一种类似于弱收敛的收敛性。

In chapter 1, we discuss several iterative methods and their convergence conditions. While, we also present the techniques in proving the convergence theorem.

第一章，主要对几种迭代法的收敛性进行了讨论，总结了它们的收敛条件及证明各种迭代法收敛性的技巧。

Theorem 4(Relation of a Convergent Sequence between its Subsequence) If the sequence converges to ,then any of its subsequence is also convergent, and the limit is also .

定理4(收敛数列与其子数列间的关系)如果数列收敛于，那么它的任一子数列也收敛，且极限也是。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。