收敛性的

It employs the complex-valued step function to build neural model, then constructs network structure and decides the number of neurons; it adopts complex-valued Hebbian rules and inner product way to calculate the net weight matrix; then it analyzes the convergence of the network by taking advantage of the definition of energy function. In the image pre-processing stage, 2-dimensional Fourier Transform and Euler's formula are used, respectively, to transfer a gray-scaled image into phase information needed by the complex-valued neural network when stores the traffic sign. In the image post-processing stage, phase inverse transformation is used to change the phase image to gray-scaled image.

采用复数阶跃函数构建了神经元模型，建立了复数Hopfield神经网络结构，并且确定了网络中神经元的个数；借助复数Hebbian学习规则和复数内积法给出了网络权值的确定方法；借用复数网络能量函数的定义，说明了复数识别网络的收敛性；在前期的图像数据处理部分，分别使用离散二维傅里叶变换和欧拉公式，给出了将灰度图像数据转化为复数网络所需要的相位信息的方法，实现了网络对路牌的记忆存储；在后期的图像还原部分利用相位逆变换的方法，实现了相位图到灰度图转化。

In Chapter 4, we consider more complex fractional nonlinear differential equation,also using the high order approximation presented by Lubich to construct correspond-ing numerical scheme and giving the error analysis of the algorithms.

在第四章中，进一步的考虑更复杂的非线性分数阶常微分方程，同样利用的是Lubich提出分数阶导数的高阶近似，构造相应的数值格式，并给出这一算法的误差分析，即相容性，收敛性和稳定性的证明。

Based on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method. A combined Gauss main-element elimination method with compress-storage technique is proposed. The relaxation iterative method for solving branch river networks is extended, which can turn the problem of any complex river networks into the problem of a series of single rivers. The coupling of hydraulic model with water quality model is built up. The combined model was applied to a large complicated river networks with numerical hydraulic structure which influenced by strong tide, storm and heave rain. Visualization of computational results is realized by means of MapInfo, which displays the computational results in fast, convenient and accurate way.

水力模型以描述河道洪水波运动的Saint-Venant方程组为基础，用Newton-Raphson方法直接求解按Preissmann加权四点格式进行离散所得的非线性代数方程组，提出了压缩存贮形式的Gauss列主元消去法并对数值解的收敛性进行了讨论；将支流流量的松弛迭代方法从树状河系推广到了环状河网，使任意复杂河网水力计算的问题都可化为一系列的单一河道的水力计算问题；建立了水力模型与水质模型的联接，初步应用于既有洪水、暴雨、强潮等综合影响，又存在多种水工建筑物及水力调度问题的大型复杂河网中的非恒定流水力、水质计算问题；利用MapInfo对计算结果的可视化进行了研究，有利于决策者快速、方便、准确地作出决策。

Dynamical behaviors such as periodic, quasi-periodic and chaotic waveforms are observed on oscilloscope. It is expected that the proposed chaotic sources and their circuit implementations are beneficial to the application of neural networks. 4 A template of Cellular Neural Network is derived aimed at solving second-order hyperbolic wave equations based on space discrete method, a novel alternating recursive algorithm implementation is given.

提出了采用复数神经网络进行FIR滤波器设计的方法，利用复数信号能够同时携带幅度和相位信息的特点，构造了相应的具有复数的状态、偏置输入、输出、网络联接权的复数神经网络，证明了算法的收敛性，给出了网络的电路实现图，这方面工作对于拓展神经网络算法的应用范围和寻求FIR滤波器的设计新方法是有益的。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

Firstly, by adopting the thought of Adomian's decomposition method, the generic dynamic model in mechanical systems are transformed into a standard first-orderdifferential-equations, and then the inverse operator method for the approximate analytic solution of nonlinear mechanical system is developed based on the exact solution in form.

主要研 究工作如下：利用Adomian的分解方法的思想，把机械系统中最一般的动力学模型转化为一阶标准型微分方程组，以形式上的精确解的表达式为基础构造了求解机械系统非线性模型近似解析解的逆算符方法；针对机械系统非线性模型的特点，提出了直接处理高阶方程的不降阶逆算符方法；证明了该方法的收敛性。

I will introduce a method to solve this problem when data come from some common life distribution, such as Weibull distribution and Lognormal distribution. In chapter 1, we introduce background of grouped data and how to analyze them with classical methods. In chapter 2, we introduce EM algorithm and show that the estimation of the parameters get through this algorithm is convergent under certain conditions. In chapter 3, we use EM algorithm to estimate parameters in Weibull distribution and Lognormal distribution by grouped data and the simulation shows this method is available.

第一章首先介绍分组数据问题的背景以及如何利用经典的统计方法对分组数据进行分析，并指出分析过程中所遇到的困难；第二章将介绍一种处理不完全数据时的常用算法，EM算法，并说明利用这种算法所得到的估计具有良好的收敛性；第三章将利用EM算法对基于分组数据的威布尔分布和对数正态分布进行参数估计，并进行模拟表明此方法的可行性与有效性。

To the discrete-time systems, we introduce a new discrete-time norm, the algorithm given is not depend upon the initial data. For a class of uncertain discrete-time systems, we also adopt the method of iterative learning control, we convert the problem of learning control into a global stability of trivial solution for lower triangular matrix dynamic systems, and obtain the result of tracking to desired state of the system.

对于一般非线性离散系统，引进了离散的范数，所给的算法不依赖于学习控制算法中的初始数据，对于一类不确定离散系统的状态跟踪问题，我们也采用迭代学习控制的方法，将相应的学习控制问题转化为一个下三角动力系统的平凡解全局稳定性问题，获得了对系统理想状态的跟踪结果，并对所给的算法的收敛性进行了分析。

In the probabilistic model for wind farm, the uncertainties of wind speed is takes into account, and the real power injected and reactive power absorbed by the wind turbine are described as the function of the voltage magnitude, the slip of the induction machine and the circuit parameters of the wind turbines. In the unified iteration method, the slip of induction machine is introduced as the new correction value. The Newton-Raphson algorithm is used to solve the unified iteration of state variable and slip. Thus, the proposed method retains the quadratic convergence of the Newton-Raphson algorithm.

该风电概率模型考虑风速的随机性，将风机输出的随机有功功率和吸收的随机无功功率描述为电压幅值、异步机的滑差和风轮机的电路参数的函数；联合迭代方法中，异步风力发电机的滑差作为新的修正量被引入，使用牛顿-拉夫逊方法求解关于潮流状态变量和滑差的联合迭代，加热器因而迭代过程保持了牛顿-拉夫逊方法的平方收敛性。

First, the background, significance and research methods of this paper are introduced, the convergence theory and economic growth difference theory are also introduced tersely.

本文首先介绍论文的选题背景、意义、研究方法及思路；介绍经济增长的概念，经济增长理论及经济增长差异理论相关内容；然后，以统计学的方法描述广东省地区经济增长差异的状况、揭示形成这种状况的直接原因，然后运用计量经济学和多元统计学等多学科知识，借助SPSS、EVIEWS和SAS等统计软件，定量测定了影响经济增长的各因素对广东省不同地区经济增长的贡献程度，从而找出影响地区经济增长差异的原因；接着对广东省各地区经济增长差异的收敛性进行了实证检验，并预测了广东省地区经济增长差异的发展趋势。

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。