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A fuzzy controller is designed, of which the input is the force error and the change of force error which are transfered from the error of interelectrode gap by using another BP NN trained by the pair of the gap-force data gathered in the test.

用这些力一问隙数据对训练一个BP神经网络，通过训练好的网络和在线测得的力实现间隙的在线预报，并设计了一个模糊控制器。

A fuzzy controller was designed,of which the inputs were the force error and the change of force error which was transfered from the error of interelectrode gap by using another BP NN which was trained by the pair of the gap-force data gathered in the test, the output of controller was the increment of feed velocity.

与阴阳极间间隙的关系；采集电解加工过程中阴极表面上的力信号，经过信号处理后用其训练一个BP神经网络，实现间隙的在线检测；设计了一个模糊控制器，把间隙的误差转化为力的误差，将误差的变化信号作为模糊控制器的输入，将进给速度的增量作为模糊控制器输出。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

By applying the concept of "dominant input",the existence of both the approximation error and external disturbance which are supposed to have unknown boundaries is considered.What's more,the adaptive law utilizes two types of errors in the adaptive fuzzy systems,the tracking error and approximation error.

该方法应用"主导输入"的概念，同时考虑了函数逼近误差和系统外扰的存在，假设了该系统逼近误差和系统外扰有界但界未知的情况；并探讨了自适应模糊控制器的参数自适应律由跟踪误差和逼近误差共同进行调节。

The concepts of weight lattice structure, sphere lattice structure and lienor lattice structure are introduced to describe it, some properties of the k-error lattice structure are given, and a relationship between the k-error lattice structure and the k-error linear complexity is presented. These create a elementary frame of the stability theory of the lattice structure.

提出了伪随机序列格结构的稳定性问题，引入重量格结构、球体格结构、k-错格结构等概念来描述之，给出了k-错格结构的一些基本性质，并研究了k-错格结构与k-错线性复杂度的关系。

In chapter two,we consider a lumped mass generalized difference scheme for linear integro-differential equation in two dimensions.Lp and error estimates of the generalized Ritz-Volterra projection u ? V and and -norm error estimates of Dk = 1,2 are made,then we obtain and -norm error estimates of u?

第二章考虑二维线性积分微分方程的广义差分集中质量法，建立了广义Ritz-Volterra投影，得到u-V_h~*u的W~(1，p)和L~p(2≤p≤∞)模误差估计和D_t~k，k=1，2的V~p和W~(1，p)(2≤p≤∞)模误差估计，从而得到u-u_h的最优W~(1，p)和L~p(2≤p≤∞)模误差估计。

In chapter three,we consider first order generalized difference scheme for linear Sobolev equation in two dimensions.Lp and W1,p-norm error estimates of the Ritz-Volterra projection u-Vhu and W1,p-norm super error estimate of uh-Vhu are made,so we obtain Lp and W1,p-norm error estimatesOf u-uh.

第三章考虑二维线性Sobolev方程的一阶广义差分格式，建立 Ritz－Volterra投影模误差估计和的模超收敛估计，从而得到的最优模误差估计。

Web-based application system of geometric error compensation aims to broaden error compensation technology by using network. SMART-CNC machine tool has been chosen as the object of experiment. Based on the kinematics of multi-body system, the movement equation for SMART-CNC machine tool has been built.Furthermore, web-based error compensation system has been implemented.

基于Web的数控曲面磨床几何误差补偿技术：以误差补偿技术的网络化应用为目的展开研究，选取SMART-CNC 数控曲面磨床为研究对象，运用多体理论，建立了磨床的运动模型，获得了与精密刀具轨迹相对应的逆变刀具路线或逆变数控指令的求解方法，在此基础开发了基于网络的误差补偿软件，构建了网络化误差补偿服务系统。

We found that the mean square error of difference value between GPS monitoring deformation and the second-order leveling surveying deformation is less than 1 mm, and there is a smaller systematic error between the ellipsoidal height deformation and the second-order leveling deformation ,whose value is about 0.5~1 mm; however, this system error does not affect the outcome of vertical deformation monitoring.

结果 得到的GPS监测变形量与水准测量变形量差值中误差＜1 mm，且GPS所测大地高变形量与二等水准测得的变形量间存在一个较小的系统偏差，其值在0.5~1 mm之间，该系统偏差不影响垂向变形监测的结果。

The synthetic normal error model, the synthetic error evaluation model and the error compensation model in the system have been built.

它与凸轮CAD/CAM系统一起组成弧面分度凸轮制造质量保证体系的集成质量控制系统。

Shop assistant: Please check at the door.

店员：请您到门口柜台交费。

In the end, transportation of PAHs in the environmental matrix was preliminarily investigated and discussed according to PAHs data of soils and sediments from a certain region in Shanghai. The result indicated that there are two or more pathways on PAHs transportation in the environmental matrix.

最后，对上海特定地区内PAHs在环境介质中的迁移径途进行了分析讨论，结果表明上海市土壤和沉积物等环境介质中PAHs的迁移存在多种途径。