多项式

To obtain more practically optimal solutions for production planning in chemical enterprises, piecewise linear function and polynomial function were used to model nonlinear unit consumptions.The optimal solutions obtained by the two approaches were compared in case studies.

为了得到更切合实际的化工企业生产计划优化结果，采用分段线性函数和多项式函数对非线性单耗问题建模并进行比较。

The results indicated that the piecewise linear function approach was easy to model nonlinear unit consumptions with a higher accuracy without regressing any parameter, and the related model could be solved quickly for a medium size problem.Meanwhile, the piecewise linear function approach could simultaneously handle nonlinearities of multi raw materials in a unit without adding any new integer variable.

案例结果表明，分段线性函数不需要回归参数，建模简单，精度较高，对于中等规模问题求解时间短，能够同时处理装置的多种原料非线性单耗，而不需要增加新的整数变量，多项式函数则不具有这些优点。

It considered three types of distortions, i.e., pincushion distortion, S distortion and image offset as a whole, and fitted the composite distortion of the images by the Nth order polynomial, and then obtained the optimum image correction coefficient by the least squares approach.

该方法统一考虑C臂投影图像的3种类型的失真——针垫失真、S型扭曲、图像偏移，利用N阶多项式拟合图像的复合失真，然后利用最小二乘法求解最优化校正系数，从而具有所需标记点数量较少，校正区域连续，步骤简单，易于在线使用的优点。

This thesis is devoted to the problems of integral conditions, center -focus determination and bifurcation of limit cycles at degeneratesingular point and the infinity of planar polynomial differential system.

本文主要研究平面多项式微分系统退化奇点与无穷远点的可积条件以及中心焦点判定与极限环分支，全文由七章组成。

Analysis of the feature and geometry of the normal compaction trend is used to establish the compaction trend with polynomial of degree 2 or 3 or polygonal line, and to predict the distribution of geopressure using the method of seismic transit time deviation -pore pressure gradient in Yinggehai bas.

研究了压力预测的方法，推导地震声波时差差值—压力梯度法的计算公式并指出它的优点是能够充分利用已知的钻井实测压力资料；从理论上分析了正常压实趋势线的性质和形态，并用2~3次多项式和分段函数建立正常压实趋势线；根据莺歌海盆地高温高压及沉积速率高、泥底辟发育的特征，建立合理的压实趋势线，并用声波时差差值—压力梯度法预测了莺歌海盆地的压力分布。

In the third chapter, interval polynomial approximation of rational curves is introduced.

第三章主要介绍了有理曲线的区间多项式逼近。

In addition, the polynomial approximation of these breakpoints slope and curvature is continuous.

此外，近似多项式通过这些断点的斜率和曲率是连续的。

A polynomial time approximation scheme for this problem is presented.

给出了一个多项式时间近似方案。

A polynomial approximation algorithm for the problem is given.

同时，还给出了该问题的多项式时间近似算法。

However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces.

然而由于计算的复杂性和设计的需要，有时我们还需要用多项式函数来逼近有理曲线和曲面。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。