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In this paper, the law of large numbers of asympotic martingale difference sequence was got by researching the convergence of asymptotic martingale and the Doob s analyse of asymptotic martingale .

研究渐近鞅的收敛性及渐近鞅的 Doob分解，证明了渐近鞅差序列服从大数定

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

This note is a revision and complement to [1]. The author proved that alonglower half of the curve C_1 in Fig. 11 of [1] not only m/a→∞ but also a→-∞,and that the upper half of C_1 has its asymptotic direction the straight linem=-2a. Thus, we have revised the original estimation, which stated that theupper half of C_1 has asymptotic direction m=-a.

本文是对文[1]的修正和补充，证明了沿着文[1]图11中的分岐曲线C_1的下半支应当由α→-∞，而它的上半支以直线m=-2α为渐近方向，从而修正了原来对C_1上半支以m=-α为渐近方向的结论，再利用文[1]中原有的知识也就修正了分歧曲线C_2~*的渐近方向。

AME (Asymptotic Multiuser Efficiency) is an important factor to evaluate multiuser detector. From this point of view, performance comparison among multistage multiuser detector, decision feedback multiuser detector and linear decorrelating multiuser detector is done here.

评价多用户检测器性能的一个重要的指标就是渐近多用户效率，本文第一次从渐近多用户效率的角度分析对比了多级多用户检测器、判决反馈多用户检测器和线性解相关检测器的渐近多用户效率。

Based on the concepts of asymptotic center point and the asymptotic radius, this paper discusses the existence and the weak convergence of the fixed point in the multi_valued asymptotically nonexpansive mappings.

本文借助于渐近中点、渐近半径的概念，得到一致凸Banach空间中非空有界闭凸子集上的连续集值渐近非扩张映射有不动点。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对"中间点"的渐近性进行了研究，得出了一系列"中间点"的渐近性的结果，概括了有关文献对微分中值公式的"中间点"的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

However, according to the three banks announced the Quarterly Bulletin, the current drive the first two "carriage" has渐显tired, and then a drive,"carriage" Obviously it is difficult to maintain long-term, the banking industry trend of declining growth performance or unavoidable.

然而，根据三家银行公布季报，当前驱动器的前两部"马车"已渐显疲惫，然后驱动器，"马车"显然难以维持长期下降的趋势，银行业生长性能或不可避免的。

By using theories of almost type functions,the theorem about relation of asymptotically periodic functions and asymptotically periodic sequences ,as well as the equipollence of vector-valued asymptotically periodic functions and almost periodic functions on R+ are obtained.

利用概周期型函数的理论，得出了渐近周期函数和渐近周期序列二者的关系定理，以及R+上的向量值渐近周期函数与概周期函数的等价关系。研究了渐近强周期函数空间、渐近周期序列空间的可分性质

At dehiscence, elongata flower ratio was increased graduate then decreased; carpelloid was increased at that time; more elongata flowers were increased again then following by pistilloid increasing steadily at one year cycle.

番木瓜刚开花阶段，正常性花渐增加到高峰，是时雄蕊心皮化型性花则渐增加，随后正常性花渐增达到高峰，此时雌蕊退化型性花则渐增加，如此规变化可於四番木瓜品种。

The author calculated and simulated three kinds of diffuser augmented wind turbines of eleven models under different velocities,and obtained curve pictures of enhanced ratio of flow rates and ratio of flux rate at the minimal section of DAWT.

计算不同风速时的渐扩直壁型、渐缩渐扩直壁型、渐缩渐扩前后流线型共3个类型11种不同形式的扩散器动力放大的流量比增益特性，最小截面处流量增加比率；比较不同形状、不同参数扩散器动力放大特性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。