误差模型

The effective prediction space concept is established, On the base of these, this paper deduces two representations' evaluating equation, one evaluates the prediction error and the other evaluates the prediction error in limited space. First, the error transfer characteristic among subsystems at different space locations is analyzed, and the direct transfer characteristic from discrete standard measure space to the workpiece measure space under measured in measure system is proven. Second, the error reconstruction condition and method of mapping from discrete standard measurement system to continuous standard measurespace are analyzed.

分析了不同空间位置子系统间的误差传递特性，证明了在测量系统中离散标准量值空间向被测量工件量值空间的直接传递性；分析了离散标准量系统向连续量值空间映射的误差重构条件和方法；基于测量样本的有限距离的平稳性，证明了预报模型对动态测量误差的有限收敛性和预报误差的可测度性，进而证明了以离散标准量值系统对被测工件预报修正的可行性和合理性。

However, in some situations, models are hard to satisfy these assumptions at the same time. We meet a number of random errors with serial correlation and heteroscedasticity in practical problems. The rationality of these assumptions for random errors is doubtable. Therefore, it is necessary to test for correlation and heteroscedasticity in regression, which is an important step of dealing with regression problems and plays an important role in theory and practice.

但实际问题中，回归模型很难同时满足Gauss-Markov的三个假设，人们在实际问题中发现许多随机误差出现序列相关和方差不同的现象，因此对回归模型的随机误差的独立性和方差齐性的假设产生了质疑，从而展开了回归模型的相关性和异方差检验的研究，它是处理回归问题的重要步骤，在理论和应用上都有十分重要的意义。

The effects of the initial values and the network approximation error using neural network model composed of feedforward neural net and delayed output feedback in the approximation of NARMAX system are studied, and a conclusion is drawn that under some weak conditions the output of the network model has little difference from that of the actual system.

研究了用带有延迟环节的前馈网组成的网络模型逼近NARMAX系统时网络逼近误差及运行初始误差对网络模型输出的影响，指出在一些弱的条件下网络模型输出与实际系统输出间相差不大。

Firstly, applying spectral factorization to minimize an integral square performance criterion containing tracking error and control energy, an optimal control law for the nominal model is derived on condition of control energy constraint. Then, for model uncertainty, using spectral factorization to minimize the variance of the actual system performance from the nominal performance over all frequency range, a robust controller design method is abtained, which has optimal robustness of the system nominal performance to model errors.

首先针对控制对象的标称模型应用谱分解最小化一个包含跟踪误差和控制能量在内的积分平方性能指标，导出一个控制能量约束条件下的最优控制律；然后再针对模型不确定性应用谱分解最小化实际系统性能和标称性能在整个频段上的方差，得到一个鲁棒控制器的设计方法，可使系统的标称性能对模型误差具有最优的鲁棒性。

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。

Two errors have been defined in this dissertation, which is mean absolute percentage error (E2) and mean percentage error (E3). The application of the two errors has brought great convenience in building and application of RBFNN model.

在研究过程中还提出了两种误差的概念，即平均绝对百分比误差(E2)和平均百分比误差(E3)，这两种误差的灵活应用，在模型的建立和应用过程中发挥了很大的作用。

With the geometry, theory of errors and optimization principle used and the related national standard referred, a novel 3DLSA for evaluating the spatial straightness errors was proposed, so as to evaluate the spatial straightness errors effectively and to gain the error values with higher accuracy. Then,a mathematical model of the 3DLSA was deduced, true three-dimensional fitting of the spatial line was theoretically carried out.

为了有效地评定空间直线度误差，并得出正确度较高的误差值，运用几何学、误差理论和最优化原理，参照相关国家标准，提出了评定空间直线度误差的三维最小二乘算法（3DLSA），推导了3DLSA算法的数学模型，实现了空间直线的三维拟合。

In this chapter, not only Extensed ACD Model, which took higher-order moments、 strict stationarity、 geometric ergodicity and a-mixing property with exponential decay as its sufficient and included most of the present forms of ACD Models was expounded, Box-Cox transformation was carried out by figurate the parameter of ?

尽管关于ACD的实证研究已经十分丰富，却很少有人把注意力放在条件期间模型设定的测试上，本章探讨了关于ACD模型统计性质研究的最新成果，并研究采用两步法来测试条件期间模型的误差项的分布，第一步包括通过QML估计条件期间过程，以获得误差的一致估计；第二步衡量基准密度的参数和非参数估计与残差的风险率函数之间的紧密度。

Next, in ADAMS, friction coefficient database is set up, and dialog box for defining joint friction is extended based on analyzing joint friction in mechanical system, and the method of parametric analysis is discussed for analyzing manufacture errors influence on mechanism performance.

然后，建立了受电弓虚拟样机模型，基于该模型主要研究了运动副摩擦引起的升弓轨迹和升弓扭矩的运行误差；在ADAMS环境下建立受电弓的三维参数化模型，讨论了制造误差对受电弓升弓轨迹的影响。

As a result, the model of low-frequency aberration induced by Nd:glass amplifiers is got. On the base of low-frequency aberration model some results are achieved such as the tendency of focal spot size changing as the RMS phase gradient changes and the characteristics for the scale length. 3. The simulation model of the beamline is set up and the propagating process is analyzed in the beamline. The correlation coefficient of two wavefronts is newly used to describe and estimate the adding result of them.

建立了求空间尺度的数学模型，并运用此模型对现有的放大片透射波前进行了分析，得出了多程系统中所用钕玻璃放大片引入的低频位相误差的空间尺度分布，并据此建立了模拟放大片低频位相误差的随机位相屏模型，在此基础上对焦斑大小随位相分布RMS梯度变化而变化的规律及空间尺度的特性进行了模拟研究； 3。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失