查询词典 Laguerre polynomial

We analyze formers centers conditions for polynomial Lienard equations, give direct conditions of a nondegenerate center at the origin with elimination theory, and give an algorithm for general situations with algebraic elimination methods of polynomials.

运用多项式的代数消元法，对前人给出的多项式Liénard方程的中心判据进行分析，对多项式的系数给出原点是非退化中心的直接条件，并对较一般的情形给出算法。

In order to enhance the precision and universality of the software, the author provided some improved way of calculation accordingly. The description of arithmetic in the nonsymmetrical valve train cam profile and polynomial dynamic cam profile was stressed.

为使该软件具有更高的计算精度和更好的通用性，文章相应地提出了一些改进算法，重点对非对称式配气凸轮及多项动力凸轮的算法加以描述。

The paper gives a fractal images compression algorithm deduced using best polynomial approximation, and two domain blocks searching path (variable step and nonvariable step), and proposes domain blocks incremental evaluation so as to increase the efficient of images compression.

本文还给出了我们用多项式最佳逼近方法导出的分形图象压缩算法，以及两种定义域块搜索路径，并提出了定义域块的增量计算思想，以提高压缩效率。

In order to compensate the time-delay, local fitting Jacobian matrix with time-delay compensation based on polynomial fitting is employed to obtain more accurate Jacobian estimation and image precompensation.

为了补偿时延，本文采用局部拟合方法估计图像雅可比矩阵，以获得当前时刻更准确的图像雅可比矩阵估值，并可对图像预补偿。

Inorder to compensate the time-delay,local fitting Jacobian matrix with time-delay compensation based on polynomial fittingis employed to obtain more accurate Jacobian estimation and image precompensation.

为了补偿时延，本文采用局部拟合方法估计图像雅可比矩阵，以获得当前时刻更准确的图像雅可比矩阵估值，并可对图像预补偿。

Relative contents of four main cellular proteins corresponding to MALDI-TOF-MS peaks m/z 4466, m/z 6455, m/z 6514, and m/z 7772 were all found to be close correlated with the concentration of melamine, although their up- and/or down-regulations showed different patterns when the concentration of melamine changed. Support vector regression leave-one-out method, with the optimized polynomial kernel function and a poly-degree of 3, was chose to evaluate the correlation between the alteration of Tetrahymena pyriformis main proteins'relative contents and the concentration of melamine in the culture medium.

支持向量机软件中支持向量回归support vector regressi(来源：A3cBC17论b1文网www.abclunwen.comon， SVR留一法预报结果表明，选用幂指数为3的多项式核函数进行建模，相对误差的平均值为7.238%，说明梨形四膜虫主要蛋白质相对含量的变化与培养基中三聚氰胺浓度变化相关。

In addition, we improve Nivens method and our new method to solve the equation more quickly.2 Complete Solution Structure: We obtain that the whole solutions of real quaternionic polynomial equation are just composed of some quaternion equivalence classes and some isolated points.

另外，从新方法及四元数带余除法理论出发，进一步改进了新方法和Niven的传统方法。 2解的完整结构：由求解的新方法得到四元数多项式方程全体解的完整结构为四元数等价类与孤立点的集合，以往的结果成为其自然推论。

In general, the main contents and achievements of this paper consist of the following aspects:(1) Based on the characteristics of the transportation and the 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.

本文根据交通领域的流量—时间占有率的倒&V&字型曲线模型，提出了一种基于曲线拟合的交通流异常检测方法，利用三次多项式的最小二乘法拟合流量/时间占有率曲线，并且利用分箱的思想对拟合好曲线上下部分分别采用基于统计的方法划分上下界，有效的识别异常交通流数据。

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。

The results show that, there is a strongly correlation between WDPT and MED values, and a polynomial conversion function of MED-lg and MED classification associated with severity of soil water repellency below moderately hydrophobic are established.

结果表明：两种方法测定的土壤斥水性具有较强的相关性，在一定范围内可以通过文中提出的多项式进行转换，并获得了中度斥水性等级以下的酒精溶液入渗法的土壤斥水性等级指标。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。