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The orthogonal polynomials order of effective waves is confirmed according to the energy variation with order increasing. This method can not only attenuate the noise but also preserve the AVO properties.

相对于固定阶次的基于正交多项式变换压制噪声的方法，所提出的方法根据能量随阶次变化的规律，自适应确定表达有效信号的正交多项式阶次，既提高了信号和噪声的分离效果，又有效地保护了地震信号中的AVO信息。

The peak radial spatial frequency and the halfpeak radial spatial frequency range corresponding to each item of the orthogonal polynomials were calculated.

利用傅里叶变换得到了Zernike多项式和环扇域内正交多项式的功率谱密度分布，以及正交多项式每项所对应的峰值径向空间频率和半峰值径向空间频率范围。

A new long-term-effective HPD method in short named I-TI-IPDCS is devised to solve non-homogeneous linear autonomy system based on Chebyshev orthogonal polynomials series of the second kind and homogenized integration technique.

基于第二类Chebyshev多项式函数系的特点与齐次扩容技巧，设计了求解非齐次线性自治系统的一种新的长效精细算法。

Orthonormal basis in L2, Legendre polynomials, basis of trigonometric functions.

正交基在L2，勒让德多项式，三角函数的基础。

Taking advantage of polynomials of second degree used in Hill yield criterion, and assuming that the yielding of orthotropy is not influenced by orthotropic hydrostatic pressures, a concise and practical yield criterion is put forward for orthotropy.

保持Hill准则二次函数描述的优越性，并假定具有正交特性的静水压力对正交各向异性材料的屈服不产生影响，提出了一种简洁实用的正交各向异性屈服准则。

Chapter 4 probes the approaches to draw out the graphs of conic sections with locus and parametric equation as well as the approaches to create the graphs of polynomials.

第四章探索利用轨迹及参数式作出圆锥曲线图形的方法，以及多项函数图形的作法。

From our results we know that the average error of the Lagrange interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes in the 1-fold integrated Wiener space equal weakly to the average error of their corresponding optimal approximation polynomial in the 1-fold integrated Wiener space,and as a kind of information-based operation,they have simple form and their recover functions are polynomials,in the 1-fold integrated wiener space,their average error equal weakly to the corresponding minimal information radius whose permissible information operators class is function values.

通过我们的结果可以知道，基于第一类Chebyshev多项式零点的Lagrange插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差弱等价于相应的最佳逼近多项式在1-重积分Wiener空间下的平均误差，并且作为形式简单且恢复函数为多项式的一种信息基算法，其在1-重积分Wiener空间下的平均误差弱等价于相应的以函数值计算为可允许信息算子的最小平均信息半径。

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。

For the robust stability analysis of polynomials, the concept of dual parameter perturbation region is clearly pointed out, and its bounds are estimated.

研究了鲁棒稳定多项式单向摄动界及其在励磁动态稳定分析、控制器参数选择等方面的应用。

Data of the liver will be fitted and mined by polynomials of order ten, and the pathologic status was identified by the coefficient of polynomial.

把处理结果数据化，利用十次多项式来进行拟合与数据挖掘，最后通过多项式的系数来确定肝脏的病变情况。

He has to relate with three women in the movie, and yet remain implicitly faithful to the unseen Lucinda.

让克劳德布里亚里成功地饰演试验了一个难度很大的角色：和三个女人打交道，但还要底下对观众未曾谋面的卢馨达保持忠诚。

The experiment was conducted to study effects of inulin on the growth performance, indices of immune organs and serum immunoglobulin of laying chicklings as well as the performance of inulin which replaced the antibiotics in diets by adding 0.2%, 0.4% and 0.8% of inulin, respectively.

试验旨在通过在蛋用雏鸡日粮中添加0.2%、0.4%和0.8%的菊粉，研究菊粉对蛋雏鸡生长性能、免疫器官指数和血清免疫球蛋白的影响，以及菊粉替代抗生素对蛋雏鸡的应用效果。