连续

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

Several strong results on neural network approximation capability obtained in this dissertation are important in the approximation theory and applications of neural networks.

本文系统地研究了多层神经网络的非线性逼近能力，给出了多层网络可一致逼近有限维空间R〓紧集上的连续函数、无穷维函数空间紧集上的连续泛函和连续算子以及布尔函数的理论证明。

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。

Twin-rotor continuous mixers are a kind of advanced continuous mixers that characterize both Banbury mixers and twin-screw extruders.

双转子连续混炼机是一种性能优良的连续混炼设备，兼具有密炼机和双螺杆挤出机的优点，是一种具有当代国际先进水平的连续混炼机。

New parameter estimation Markov recursive algorithm for continuous stochastic linear system and bilinear system is proposed.

基于小波变换的连续随机线性和双线性系统参数辨识Markov方法分析研究了连续维纳过程在小波变换下的统计特性，给出了维纳过程的离散小波变换系数所构成的离散随机过程的协方差矩阵计算和估计方法，基此提出了线性和双线性连续随机系统参数辨识的Markov估计方法及其递推算法。

From [1], Every transition function is a positive strongly continuous semigroup of contractions on l\, but it isnt a strongly continuous semigroup on l_∞- In fact, the sufficient and necessary condition for a transition function to be a strongly continuous semigroup on l_∞ is that the q—matrix Q is an uniformly bounded q—matrix on l_∞- This is the trivial case.

由Anderson[1]知道转移函数P是l_1空间上正的强连续压缩半群，但P一般来说不是l_∞空间上的强连续半群，而P是l_∞上强连续半群的充要条件是q—矩阵Q是l_∞。

Researches show that the drive force characteristics of the electric tractor drive system based on series DC motor is close the ideal characteristics, the curves are concave, low speed with constant power, and high speed with constant torque; the electric tractor has large working speed under different shifts, but the extensive coincidence speed shows that the variable ratio of the gear is unreasonable; the maximum climbable gradient of this electric tractor is more than 30%, and does not need frequent shift when working for its extensive climbable gradient; there are many influence factors of continuous working time, which the more obvious factors are working speed and working load, the working time increases with the increase of the working speed and working load.2. Simulation researches on the drive characteristic of the electric tractor.

研究结果表明：基于串励直流电动机(来源：ABC21论文网www.abclunwen.com)的电动拖拉机电驱动系统的驱动力特性场接近理想驱动力特性场，其各挡下的驱动力特性是一组下凹的曲线，低速恒转矩，高速恒功率；同一行驶速度下所对应高挡驱动力大于低挡驱动力，这是由电机的调速特性决定的；电动拖拉机各个挡位下具有较广的稳定作业速度范围，但是各个挡位之间速度重合的范围较多，说明所用变速箱变速比与电动机匹配不合理；电动拖拉机最大爬坡度达到30%以上，并且各挡爬坡度变化范围较广，作业过程中不需要频繁换挡；影响电动拖拉机连续作业时间的因素较多，其中作业行驶速度和作业负荷影响最为明显，作业负荷越大，连续作业时间就越短，作业速度越快，连续作业时间就越短。2、电动拖拉机驱动特性仿真研究。

Week 4 The definition of continuous, the nature of continuous function, integral of elementary functions, the nature of elementary functions on closed interval

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

On this basis, we give the characterization of the compact set in E〓,τ

引入了模糊数网的最终等度左连续概念，利用它得到了模糊数序列在水平收敛意义下存在极限的一个充要条件，在此基础上给出了空间E〓，τ(l中紧集的特征刻画，即空间E〓，τ(l中的闭集U是紧的当且仅当U一致支集有界，且U的每个网有在（0，1上最终等度左连续、在λ=0处最终等度右连续的子网。

A complete lattice L is a quasicontinuous lattice iff the lattice of all Scott open subsets of L is hypercontinuous and hypercontinuous lattices are continuous lattices which are Hausdorff in their interval topology.

Heckmann从幂domain的构造角度研究了拟连续domain并给出了拟连续domain的拓扑式刻画(见[25])，超连续格具有良好的性质，如可用有限正则关系进行表示，有纯序论的刻画等。

It is also known as one of the most poisonous naturally occurring substances.

它也被称为一个最自然发生的有毒物质。

The greatest stress is found at the location on the cross section where V is the largest.

最大应力出现在横截面上V为最大的地方。