多项式分布

Besides, the multinomial analytic expression of the intensity is get.

此外，给出了散射光分布的多项式解析表达。

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

Secondly, the asymptotic series are used to evaluate the density function of heavy-tailed Rayleigh distribution, and an efficient three-step method is proposed using the interpolating polynomial fit.

其次， 本文使用渐近级数计算拖尾Rayleigh分布的概率密度函数，基于插值多项式拟合，提出了高效计算密度函数的三步方法。

In this research a new mathematical model - cubic polynom with two given derivatives at end points - was proposed which can good match the S-shpae curve.This model has a number of analytical features:describing the geographic phinomena prosesses in three hierarchies (textural fractal,structural fractal and state fractal); the boundary values of the structural fractal can be considered as the boundary values of interval of scaleless.

在研究中提出了扩展分维表达函数：带导数三次多项式，它能很好地表达反S形分布曲线，具有一系列解析特征：可从三个层次（纹理分形、结构分形和态势分形）上描述地理现象或过程；其中结构分形的边界可近似地看作是非扩展分维无标度区的上下界。

It used chebyshev polynomials to calculate sine function for improving its accuracy. It adopted optimized null vector distribution strategy to decrease switching times and switching current.

其采用Chebyshev多项式计算三角函数，提高了运算精度；采用零矢量象限间交错分布的优化策略，以减小开关次数，降低开关电流。

In the numerical calculations,the unknown density of dislocation is approximated with the product of fundamental function and Chebyshev polynomials.The calculations show the present method yields rapidly converging and high accurate numerical results.

在数值求解这组奇异积分方程中未知位错分布密度近似为基本密度函数与Chebyshev多项式之积，计算表明，本文方法的数值结果不但收效快而且精度高。

C The profile is of berm, which the section below the berm is concave. Using the polynomial curve to fit the shapes of the mean profile, the exponential equation of the equilibrium beach profile in South China was established, which has a general form: y=〓+ C. 2 It's obvious for the beach processes to vary with seasons. The main variation processes of beach profiles are composed of four kinds of mode which are the equilibrium profile mode, the berm mode, the foreshore mode and the bar mode. 3 Beach systems of the arc-shaped coast in South China exhibit an wide range of morphologic and dynamic variability with respect to both time and local environment.

此外，采用多项式曲线对平均剖面进行拟合，建立了华南海滩均衡剖面的指数公式y=〓C+。2）海滩具有较明显的季节性变化，海滩剖面的变化模式一般可分为均衡剖面模式、滩肩模式、前滨模式及其沙坝模式等4种。3）海滩不同岸段的动力地貌状态在同一空间上的分布具有一定的连续性，在时间上具有一定的更替顺序。

For the case that the eigenstrains is in the form of linear function of Cartesian coordinates of the points of the inhomogeneity, the solution for the stress and strain fields is analytically derived based on the polynomial conservation theorem, the complex function method and conformal transformation together with the principle of minimum strain energy.

对于夹杂的特征应变为线性分布的情况，基于多项式保守定理，运用复解析函数法、保角变换和最小势能原理，获得了问题的封闭形式的解析解。

The major achievement of this paper is: Based on characteristics of the traffic data distribution, execute pattern recognition operations on traffic condition on two dimensions by clustering, then use BP neural network to describe and forecast traffic flow aiming at each pattern. Making use of classic flow-occupancy inverse "V" model, implement polynomial fitting using least-squares algorithm and statistics method on flow curves to detect outliers which are proved to be not accord with practice through the actual implement, then use the moving average model to recorrect the outliers and absent. Make correlation analysis on muti-direction flow queues of the intersection and ones of upriver intersections, choose flow queue with high correlation as assistant one to improve the error tolerance of the prediction system, at the same time we can use the method to give an estimation of flow in intersection with out sensors. We design and implement an SOA(Service-Oriented Architecture)-based UTDD(urban traffic data mining development) with high expansibility and performance, which implement unified management and call of the data-mining application though defining a XML-based description of data-mining process and a common interface to call data-mining process, finally we build traffic flow prediction application model on UTDD.

根据交通流量数据分布的特征，提出基于k-means的二次聚类方法，对交通流量在流量大小和时间上进行模式划分，进而对各个交通流模式进行基于BP神经网络的描述和预测，从而提高模型对流量预测的精度； 2）根据流量/时间占有率倒&V&字形曲线分布模型，提出基于最小二乘法的三次多项式曲线拟合和统计方法的异常检测方法，实际应用表明该方法能够有效识别异常数据，然后根据移动平均算法对异常数据进行修正； 3）基于序列相关性分析，分别对预测方向的交通流量数据序列、上游路口相关序列以及预测路口其它各个方向上的交通流量序列进行分析，选择相似性流量序列，作为辅助序列提供其他没有检测器路口的流量估计； 4）设计和实现了基于SOA（Service-Oriented Achitecture）的高性能、可扩展的智能交通数据挖掘系统UTDD，该系统通过定义基于XML的数据挖掘过程描述和通用的过程模型接口，实现数据挖掘应用的统一管理和调用，最后在UTDD上建立了基于路口流量预测的应用模型。

In the multivariate case, the components of considered estimators are not just polynomials of the corresponding observed components only, but can be polynomials of all variates.

在数值计算结果中，我们发现在卜瓦松分布和常态分布的例子，分别考虑二阶和三阶多项式估计，都已能得到相当好的近似效果。

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。