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Polynomial functions (in particular, permutation polynomials) play an important role in the design of modern cryptosystem.

多项式函数在近代密码体制的设计中有着重要的应用。

This paper considers a class of uncertainties with the polynomial function form of perturbation parameters, which is analogous to a fact that part information is known for some uncertainties.

考虑一类与摄动参数呈多项式函数关系的不确定性模型，这类模型反应了预知部分不确定性信息的物理意义。

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。

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。

Ultimately,we used quadratic polynomial stepwise regression analysis,according to the correlation coefficient variable size,to look for curcumin with the best ratio of piperine.

利用均匀设计的方法进行分组，检测小鼠眼球血清三酰甘油和胆固醇的含量，寻找姜黄素与胡椒碱的最佳配比。

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。

In Chapter 4, we study the center conditions and the bifurcation of limit cycles at a degenerate singular point as well as that at infinity for a quintic polynomial system and prove that the system has 5 limit cycles around the origin and 2 limit cycles around infinity.

在第三章中，我们分别研究了一类三次多项式系统、一类五次多项式系统、一类七次多项式无穷远点的中心条件与极限环分支问题。

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。

Basing on the coordinating equations of multivariate spline space, we firstly study the smooth connection problem of the bivariate quadratic polynomial spline functions which defined on the polygonal region with one interior net

最后说明了在一种类1—型三角剖分上二元二次样条函数s∈S_2~1的存在性及在其上曲面光滑连接的可行性。

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。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。