误差模型

The computation implies that the influence of truncation error of up/downwards continuation is about 0.001 m2·s-2, the maximum error is only 0.11 m2·s-2, which can be ignored in CHAMP gravity field recovery. The influence of the reference gravity field error of up/downwards continuation is less than 0.1 m2·s-2 in general, but the maximum error can reach 1.3 m2·s-2. To reduce this error, a high-precision gravity field model should be used in the up/downwards continuation.

计算表明：延拓误差中的截断误差部分影响量级约0.001 m2·s-2，最大误差仅为0.11 m2·s-2，可完全忽略；延拓误差中的参考重力场模型误差影响随参考场选取的不同而有所差异，整体而言小于0.1 m2·s-2，但最大误差可达1.3 m2·s-2，采用高精度的参考重力场模型能大大减小延拓误差影响。

On the basis of the study on the mathematical model of the closed-loop location control, the analysis of contour error in the process motion control and error calculation model, according to the lack of using normal contour error model not to calculate contour error of curve in real-time, combining real-time contour error compensation control strategy and fuzzy logic theory, the fuzzy logic and real-time contour error calculation based self-discipline control strategy is proposed.

2在研究闭环位置控制数学模型、加工轮廓运动控制中的误差分析和轮廓误差计算模型的基础上，针对利用一般运动轮廓误差计算模型不能实时计算出曲线轮廓误差的不足，结合实时轮廓误差补偿控制策略和模糊逻辑理论，研究了基于模糊逻辑理论和实时误差计算的轮廓自律控制策略。

First of all, the valuation errors in TXO of the BS-IV model are the smallest among all volatility models. In the whole, the BS-IVmodel underprices the market value, BS-HV, BS-EV（EGARCH（1,1））and Ad hoc BS model overprice the market value respectively. Next, there exist the linear relationships between the valuation errors and moneyness in TXO mostly. At last, in view of hedging errors, the other thing being equal, the shorter is the maturity, the smaller is the hedging error.

本文的实证发现，在评价误差方面，整体而言，隐含波动性模型对买权及卖权的评价误差最小，隐含波动性模型之理论价格低估了市场价格；而历史波动性模型、EGARCH（1，1）模型及平滑后的历史波动性模型之理论价格则大多高估了市场价格；接著，在评价误差与金融特性关系方面，各波动性模型之评价误差与价内价外程度、股价指数报酬率、股价指数波动性、距到期日及无风险利率等因素，大多具有显著的线性关系。

According to the definition of axis straightness error ,a mathematical model was developed to evaluate axis straightness error by way of least square method in the rectangular coordinates.

根据轴线直线度误差的定义，建立了在直角坐标采样时该项误差的最小二乘评定法数学模型，该模型的采样数据不需要等角度间隔采样；并用计算机进行仿真分析·结果表明，所建立的数学模型编程简单，计算出的轴线直线度误差值与真实情况的误差小于 10 -6μm·因此由本模型引入的误差可忽略不计·所建立的数学模型为研制形位误差虚拟测量系统提供了理论基础

Furthermore, how to apply the model efficiently in practice is deeply discussed. As the variance produced by the forecasting model as concerned, the real-time revised method of hydrological forecasting is highlighted. Next arranged, the multi-stratum recursive prediction model is put forward to forecast the error series that is a dynamic system. Later, an error selfregressive multi-stratum recursive prediction model is set up as well as a current algorithm offered. Finally, the difference collated model and the gloss control method, which are devoted to updating the mid-long term hydrological forecasting during the meditate period, are put forward.

在综合评述中长期水文预报现有方法和模型的基础上，采用时间序列分析方法，建立中长期水文预报的时间序列组合模型，并对模型如何在实际中有效应用作了较为深入的探讨；针对模型预报所产生的误差，又重点研究了水文预报实时修正方法：提出了采用多层递阶预报方法对误差序列这一动态系统进行预报，建立了误差自回归多层递阶预报模型，并提出了较为通用的解算方法；给出了水文中长期预报中期修正的残差相关模型和总量控制方法。

The disturbance model can give the prediction for all the 95 shock events, while STOA model works for 89 events and ISPM model for only 72 events. We arrive at 25.26% percentage of all the 95 events with the relative time error less than 10%, 50.53% of all the events with the relative time error less than 20%, 65.26% of all the events with the relative time error less than 30%, 31.58% of all the events with the relative time error between 60%~80

实验表明，我们的模型在所有95个事件中，渡越时间相对误差小于10％的事件数占总事件数的25.26％；相对误差小于20％的占总事件数的50.53％；相对误差小于30％的占总事件的65.26％；相对误差在30％～60％的之间的事件数有30个，占总事件的31.58％；有3个事件相对误差在60％～80％之间，没有哪个事件相对误差大于80％。95个事件中我们的扰动传播模型能对所有事件进行分析给出预报值，STOA模型能给出89个预报值，而ISPM模型则只能给出72个。

To analyze the pseudo phenomena caused by migration velocity error, the paper firstly studied the depth error between post-stack migration and prestack migration caused by same velocity error, and found the depth error was only relative to velocity error and had no direct matter with methods of depth migration (post-stack migration or prestack migration). Then the paper did numerical simulation of a complex lenticular body model with wave-equation modeling and migration, and found that the velocity error could not only induce depth error, but also could change the modality of construction and the event of subjacent layers. Furthermore, it could change the frequency of reflective event. They are the pseudo phenomena caused by migration.

从分析偏移速度误差带来的各种假象出发，本文首先对比分析了速度误差对叠后深度偏移和叠前深度偏移的影响，发现偏移剖面的深度误差仅与速度模型的误差有关系，与具体的偏移方法没有直接的关系；然后对一个复杂的透镜体模型进行了波动方程叠后正演和偏移计算，详细地讨论了不同的速度误差带来的各种假象，发现速度误差不仅会带来深度误差，而且会造成构造体的形态变化，下覆地层同向轴的扭曲，还可能引起地层同向轴的频率发生变化，给资料解释带来一定的假象。

About the theory of the model errors, there are many theoretical problems to be solved, and many disscusional fields to be expanded and perfected.

但是测量平差中的模型误差的理论还有许多问题有待完善、扩展、深入，如函数模型可扩展到附有条件模型、概括函数模型、非线性模型；随机模型可扩展到相关、秩亏等情况；误差理论可扩展到线性近似误差。

And has done the tired life test of the hypoid gear. As the samples of the test data of gear life test is very few, the author has made the error model of tes tinghypotheses when using k-s method, the auther presented a testing hypotheses method which can make use of the information of the samples and reduce the error of probability Calculation. It is Called"the improved K-s method". The author has used this method to deal witch the life test datas and the result is identical with the result of the theoretical calculation.

为对锥齿轮进行疲劳寿命试验，结合其它科研项目，研制了多功能数控齿轮传动试验台，并在该试验台上以SC110锥齿轮为试件进行了疲劳寿命试验，针对齿轮寿命试验数据一般样本很少的情况，建立了用K—S法进行分布律假设检验的误差模型，并提出了一种能充分利用样本信息，大大提高检验精度的小样本分布假设检验的新方法——改进的K—S法，并用该法对寿命试验数据进行了处理，得到了与理论分析计算一致的结论。

INS with single axis stablization is analyzed using quaternions, and system quaternions error model is worked out.

应用四元数方法分析了单轴稳定惯导系统，建立了系统的四元数误差模型。

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