切比雪夫多项式

On two binomial coefficient s and their related combinatorial identities;2. Several identities on binomial coefficient s and trigonometric func tion values of special angles are obtained.

利用组合数学的一些技巧给出了切比雪夫多项式的通项表达式，并得到了一些二项式系数，特殊三角函数值的恒等

Using the above polynomial gain ripple characteristic, expressions for the gain and bandwidth are derived, and numerical simulations are performed.

利用光子晶体光纤高非线性和低色散斜率的优良特性，提出了一种利用变换和缩放的四阶切比雪夫多项式计算双抽运光纤参量放大器平坦增益和带宽的方法。

The Chebyshev polynomial was applied to fit satellite coordinates of the broadcast ephemeris to realize satellite orbit standardization.

利用切比雪夫多项式拟合广播星历的卫星坐标，以实现卫星轨道的标准化。

The precision in fitting satellite coordinates of broadcast ephemeris by the Chebyshev polynomial and the rational choice of polynomia...

通过实例分析了用切比雪夫多项式进行卫星坐标拟合的精度及多项式阶数和时间间隔的合理选择等问题，得出了一些有益的结论

In the single and double integral terms of Green function, the kernel function of wave-making resistance expression, Special function expansion method and Chebyshev polynomial approach method have been adopted respectively, which greatly increase the calculation speed.

对作为兴波阻力计算核函数的Green函数的单、双积分项分别采用特殊函数展开、切比雪夫多项式逼近的方法进行计算，提高了计算速度。

This paper presents a method of synthesizi ng non-equiripple low-pass filter based on iteration analysis,in which the rat ional fraction formed of Chebyshev polynomial is used as the filter characterist ic function.

提出一种用切比雪夫多项式构成有理分式作为滤波器的特征函数，并利用迭代分析进行非等波纹低通滤波器综合的方法。

Based on the examples analyzed,this paper mainly discusses the impacts of the polynomial degree,fit time span and interval of the fitting points when using chebyshev polynomial to fit the satellite orbit,the situation using more orbital elements and the area and choosing of the orbital elements are also discussed at last.

以实例分析为基础，主要讨论了利用切比雪夫多项式拟合GPS卫星轨道时多项式阶数、时段长度、拟合点间隔等因素的设置问题；并对使用多组轨道参数进行轨道拟合的情况进行了分析；最后讨论了轨道参数的使用范围和选择问题；得出了有用的结论。

When to get the coefficients of polynomial directly,the ill-conditioned matrix may be produced and effect the precision of result.Using orthogonal polynomial can avoid this problem.This paper introduces 4 orthogonal polynomial.In our discussion,it is proposed to use Chebyshev polynomial and Legendre polynomial,they are easier to sa...

讨论4种常用正交多项式在拟合卫星轨道与时间函数时的适用性；通过计算实例说明利用切比雪夫多项式和勒让德多项式做数据拟合时具有很高的精度；分析得出评定多项式拟合数据精度的适用阶数，实际应用中可降低工作量，提高计算效率；最后讨论同一多项式阶数下不同历元数对拟合结果的影响。

It's the first time that from the angle of computational mathematics combined with the structure model of parallel machine, the parallel degree of the relevant algorithms in orthopaedics clinic engineering modeling system, such as piecewise cubic Lagrange interpolation formula, piecewise cubic Hermite's interpolation formula, cubic spline, Chebyshev multinomial fitting algorithms, least square method and contour curve multinomial algorithms, were discussed.

论文首次从计算数学的角度并结合并行机的结构模式出发，讨论了在骨科临床工程造型系统中可能涉及的如分段三次拉格郎日插值公式、分段三次埃尔米特插值公式、三次样条函数、切比雪夫多项式拟合算法，最小二乘法以及轮廓曲线多项式求值算法的并行度。

In generic mathematical approximation methods Chebyshev multinomial approximation algorithm has better effect on reducing approximation error. This paper brought forward a parallel Chebyshev multinomial approximation algorithm based on a unique representation of complex curve, and implemented the parallel program in two Java methods.

常用的数学逼近法中切比雪夫多项式拟和法误差较小，对此，提出一种基於复杂曲线表示的切比雪夫多项式拟合并行算法，并采用两种Java方案实现并行程序。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。