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Lagrange operator and Bernstein operator are two important operators which are used to deal with polynomial approximation problems. They have advantages and disadvantages of their own.

Lagrange算子与Bernstein算子是用于处理多项式逼近问题的两个重要算子，这两种算子各有优缺点。

In the final chapter, we discuss interval polynomial approximation of rational surfaces. Firstly, we briefly state the interval-surface approximation based on the Taylor Expansion, and later, we give out a better interval-surface approximation based on the optimization method, which is also the main work of this paper.

第四章主要介绍了有理曲面的区间多项式的逼近，首先简单介绍了基于泰勒展开来做的区间曲面逼近，后面是本文的主要工作，我们基于优化方法得到了更好的区间曲面逼近，它也是本文的重要部分。

For the robust adaptive control issues of linear time-varying systems, a new polynomial approximation scheme is applied to approximate the time-varying parameters of the systems.

5对于线性时变系统的鲁棒自适应控制问题，本文提出了一种新的多项式逼近方案用以逼近系统的时变叁数。

The last chapter concludes the work and points out some aspects to be further studied on dynamic behaviors of system with random parameters by applying the orthogonal polynomial approximation.

第五章给出了全文的总结和进一步的展望。

The aim of this study is to classify ST according to its shape type using a polynomial approximation method and the reference STs set.

根据波形的特征提出多项式拟合和波形模板匹配分类算法。

For the best polynomial approximation method we propose six class of bases and research their effects on compression speed, PSNR of restored images and compression ratio.

对于多项式最佳逼近方法，提出并研究了六类基对压缩速度、还原图象的PSNR以及压缩比的影响。

Using the 19-order non-linear math polynomial, and the coefficient parameters can be obtained by method of least square.

使用数学中19阶多项式非线性函数建模，模型中的参数用最小二乘法求取。

There is apparently no approach that is simpler than converting the polynomial to coefficient form first, and then evaluating it at the new point.

最简单的方法，先将多项式转换为系数表示形式，再求多项式在新点处的值？

The answer hinges on our ability to convert a polynomial quickly from coefficient form to point-value and vice-versa.

该问题依赖于我们将多项式从系数表示快速转换为点值表示的能力，或相反。

Through analysis, we find that the fitting center is changing with coefficient of the polynomial, which causes the error.

对产生这些现象的原因进行了分析，指出拟合过程中拟合中心点随正交多项式系数的改变是导致拟合不够准确的主要原因，提出采用常规二次多项式取代正交多项式进行数据拟合，以克服正交多项式拟合方法的缺陷。

The circulation, consumption and reproduction of the trilogy have not only testified to its historical significance and literariness, but also invested it with new meanings.

该三部曲的流通、消费与再生产不仅验证了其历史意义及文学性，而切还赋予它以新的意义。

If he thought that he could buy me off, he would be wrong.

如果他认为他可以收买我，那他就大错特错了。