多项式分布

By decomposing the cyclotomic polynomial over a finite field, wegive the distribution of linear complexity for periodic sequences over the field, with some special cases discussed.

肖国镇 ，许春香，魏仕民通过对有限域上分圆多项式的分解，给出周期序列的线性复杂度的分布，并就几种特殊情况进行了讨论。

All coefficients of the correlation were more than 0.9. However, exponential equation was the best.

其垂直分布可用指数模型、乘幂模型、多项式函数表示，相关系数都在0.9以上。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

The discrete velocity ordinate method in the kinetic theory of gases is developed and applied to discretize the correspo

借助非定常时间分裂法和无波动无自由参数的NND耗散格式，建立直接求解微观分子速度分布函数的有限差分数值格式；研究并发展可用于离散速度坐标点选取和离散速度空间宏观取矩的高斯─埃尔米特无穷积分方法、等均间隔的牛顿─柯斯复合积分法、以勒让德多项式的根为积分结点的高斯─勒让德数值积分法，并应用于不同马赫数绕流模拟；通过对不同流域一维激波管问题、二维圆柱绕流问题和三维球体绕流的计算研究，并将计算结果与其他途径得到的研究结果诸如DSMC模拟值、N-S解及有关实验数据进行比较分析，创建了一套能有效模拟稀薄流到连续流不同流域气体流动问题简化的统一数值算法研究框架

Research into the method of establishing probability density function model of radar clutter signals Based on the careful analysis of the kernel estimation and the fundamental principles of the Legendre polynomial, the dissertation tentatively combines two and gets better results.

雷达杂波信号的概率密度分布模型建立方法的研究在认真分析了核估计和Legendre多项式的基本原理的基础上，探索性地将两者结合起来，取得了很好的效果。

The results show that Legendre polynomial of order 11 and 9 can evaluate accurately through-thickness residual stress in the rolling and transverse direction, and the root-mean-square average of the uncertainty is respectively 2.9015 MPa and 4.7558 MPa.

结果表明：分别采用11阶和9阶勒让德多项式能较好地拟合铝合金板材内部轧向和横向残余应力的分布，不确定度的均方根值分别为2.9015MPa和4.7558 MPa。

Meromorphic function, value distribution,normal families, differential polynomial, multiplicity

亚纯函数，值分布，正规族，微分多项式，重级

Only sufficient number of measured points is needed to satisfy the identification precision of to identify the ratio of the orthogonal polynomials, and there is no special limit on th positions of measuered points.

该方法只须获取足够的测量点的响应来识别分布载荷正交多项式的系数，满足识别的精度要求，同时对测量点的位置无特殊限制。

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 order to improve the frequency resolution, realize high precision frequency estimation, this thesis proposes the high resolution polynomial Wigner-Ville distribution using Chirp-Z transform, the validity of this algorithm is verified using synthesized data.

为了提高基于FFT的谱分析算法的分辨率，实现高精度的频率估计，提出了利用Chirp-Z变换的频率高分辨多项式Wigner-ville分布，并用合成的仿真数据，验证了上述算法的有效性和正确性。

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。