计算多项式

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

As to nonparametric and semiparametric regression models, the most widely used regression methods include: local smoothness, including Nadaraya-Watson kernel estimate, Gasser-Muller estimate, local polynomial method; spline method(such as smoothing spline, spline penalies and so on); other is orthogonal series estimates, such as Fourier series and so on.

本文主要介绍Nadaraya-Watson核估计方法对非参数模型估计的思路和估计方法，变系数模型中函数系数的局部多项式估计，包括估计思路，估计计算。

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。

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。

When the IPR method is used in the cases that there are few sources with same frequency, the matrix composed of noise eigenvectors is processed complexly. So we construct the matrix for computing the coefficient of polynomial with signal subspace.

针对IPR算法在信号较少时，噪声特征向量构成的矩阵计算量较大的问题，改进算法从信号子空间出发求出构造多项式的系数，从而求得到达角。

The formulas are derived from the classical theory of thin shells, The thermal stresses for three kinds of boundary conditions are calculated separately by the theoretical formulas derived from a cubic polynomial temperature distribution and by the finite element method, SAP5 program.

并以三次多项式温度分布为例，计算了三种边界条件(自由端、固支端、简支端)下，理论的和有限元的热应力曲线，对固支端进行了热应力实验，绘制了实验曲线。

This polynomial expansion based algorithm is then integrated with the Logical Key Hierarchy; while preserving the logarithmic communication cost with the group size, the presented PE-LKH scheme lowers the computation complexity observably, thus is scalable to large dynamic groups.

将基于多项式展开的该算法与逻辑密钥层次结合，又提出了一种PE-LKH方案，在保留通信开销随组规模呈对数增长的同时，其计算复杂度有效降低，可适用于大规模动态群组。

On the basis of polynomial substrate impedance model, multipole GMRES algorithm is adopted to solve impedance matrix equation.

我们以边界元方法计算的结果为数据点，通过分段曲线拟合得到了简单而准确的多项式阻抗模型。

Aimed at some shortages in the existing methods based on piecewise polynomial representation, such as sensitive to noise awl lower computational efficiency, a robust method of optimal segmenting time series is proposed.

针对分段多项式回归方法存在计算效率低和对噪声较敏感等缺点，提出了具有稳健性的最优分割方法，以解决时间序列数据相似搜索及知识发现处理中的长时间序列分割问题。

Almost all of these problems are NP-hard, it is very difficult to find a polynomial optimal solution. Hence, many people try to solve such problems through various methods to find suboptimal solutions instead.

分布式计算系统的任务调度是确定性调度问题中的一个重要专题，这类问题基本上都是NP难题，因此很难找到多项式时间最优算法。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。