多项式分布

In view of trust region algorithm has good global convergence for solving non-linear quadratic programming problem,the effective elastic module s damage factor and the damage distribution function is introduced by FEM updating .

鉴于信赖域算法在求解非线性二次规划问题中具有良好的全局收敛特性，同时结合有限元模型修正技术，引入有效弹性模量损伤因子和损伤分布函数的概念，在Matlab编程环境下调用ANSYS有限元程序中的APDL语言进行桥梁空间结构的有限元建模，利用信赖域算法调整局部单元的参数，通过连续损伤分布插值多项式拟合连续区段各单元的损伤分布曲线，进而实现了对连续梁桥的动力损伤识别。

The general orthogonal polynomial is adopted for model approximation of DPS and the predictive control of DPS is translated into the lumped one. Model algorithmic control is applied to deal with the lumped parameter system and a control law is given. The predictive controller of DPS is obtained by inverse transformation. The method and steps are discussed in detail.

该方法采用广义正交多项式对分布参数系统的模型进行逼近，将离散时间分布参数系统的预测控制问题转化为集中参数系统的预测控制问题，运用模型算法控制方法对集中参数系统进行预测控制，求出控制律，经反演变换得出分布参数系统的预测控制。

Simulations are carried out upon square-aperture beam using Legendre polynomial. Conjugate gradient method is used and optimization is performed for several steps to reduce executing time.

针对方光束口径，利用 Legendre 多项式模拟光束波前分布，利用共轭梯度算法对多项式系数进行了优化计算；优化过程分为几步进行以减少计算时间。

Recurrent formulas for calculating the coefficients of the Legendre polynomial and the expressions for calculating the sedimentation coefficient are deduced analytically.

为了研究多分散低Péclet数沉降问题，我们先以Legendre多项式展开法得到了计算对分布函数的普遍递推式，以及由Legendre多项式的系数表示的沉降积分。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

In comparison with Zernike polynomials, the orthogonal polynomials have similar PSD distribution, but higher spatial frequencies.

通过对比发现，正交多项式与相同阶的Zernike多项式PSD分布相似，但是却含有更高的空间频率成分。

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。

The Polynomial Wigner-Ville Distribution is a time-frequency signal analysis tool for representing Polynomial Phase Signal.

多项式Wigner-Ville分布是分析多项式相位信号时频特性的一种有力工具。

At last, By using the factorization properties of cyclotomic polynmials on finite fields and the construction characteristic of cyclic codes, we present the relation of the period distribution of cyclic codes and the period distribution of their dual codes, establish the explicit formula for the number of the codewords without inner-period of the cyclic codes and their dual codes, find the method for computing the dimension and the period distribution of narrow-sense primitive BCH codes,and study the inverse question of period distribution of cyclic codes.

最后，利用有限域上分圆多项式的分解特性和循环码的构造特点，揭示了循环码的周期分布与其对偶码周期分布之间的内在联系，确定了一般循环码及其对偶码内无内周期码字的精确计数公式，决定了狭义本原BCH码的维数与周期分布，讨论了循环码周期分布的反问题。

This paper mainly deals with distribution of primitive polynomials and primitive elements over finite fields. LetFq be a finite field of q elements with characteristic p , xn + a1xn-1 +...+ an-1x + an be a polynomial over Fq .

本文主要研究有限域上本原多项式及本原元的分布，设F_q表示有q个元素的有限域，q为素数的方幂，F_q是F_q的多项式环，文献[10][11]中证明在F_q上，存在可预先指定a_1，a_2的n≥7次本原多项式。

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。