切比雪夫多项式

We divide this interval into several subintervals, based on deviation points, find the best uniform approximation polynomial of each subinterval, and then denormalize the computation result to the final result.

论文摘要：根据切比雪夫定理，提出了一种适于FPGA实现的函数逼近新方法：通过区间映射关系，将函数定义域映射到较小的逼近区间内，并按照交错点对逼近区间进行分段，分别求出每段的最佳一致逼近多项式，对函数进行分段逼近，最后将逼近结果反映射，得到最终的函数计算结果。

GPS ; broadcast ephemeris ; satellite coordinate ; Chebyshev polynomial

GPS ；广播星历；卫星坐标；切比雪夫多项式

Introducing the user algorithm of the broadcast ephemeris, the algorithms are explained on principle, which are Lagrange Interplation and Chebyshev polynomial simulation. Then comparisons of calculating of satellite coordinate with broadcast ephemeris and with precise ephemeris are made.

推导了广播星历用户算法，对GPS数据处理中常用的拉格朗日内插和切比雪夫多项式拟合从原理上进行了阐述，并对广播星历卫星坐标计算和精密星历卫星坐标计算进行了分析比较。

The relevant interpolation algorithms include Lagrange interpolation formula, Newton polynomial interpolation, Hermite's interpolation, cubic spline; the relevant fitting algorithms include least square method, Chebyshev multinomial fitting algorithms and so on.

主要的拟合算法有最小二乘法、切比雪夫多项式拟合算法。

Based on polynomial interpolation and approximation theory,a Chebyshev orthogonal basis neural network is constructed in this paper.

根据多项式插值和逼近理论构造一个切比雪夫正交基神经网络，其模型采用三层结构并以一组切比雪夫正交多项式函数作为隐层神经元的激励函数。

We put forward a new theoretical method named direct laser spectroscopy method, it holds some goodness which spectral method has not, it also showed that it was one of the best methods in molecular dynamics simulation by combined with the best method named chebychev polynomial expansion in time dependent wave packet theory. This had been approved bv example of H〓.

我们提出了一种新的理论方法即直接激光光谱法，这种方法具有以往常用的谱方法所不具备的优点，即高效性，并且通过与含时波包理论中最具有优越性的切比雪夫多项式展开方法结合，使得这种方法在动力学模拟中具有极大的优势，并以H〓分子为进行实验例。

We will see more and more activist government policies that distinguish economic activities according to the nationality of the actors.

我们将看到越来越多激进的政府政策，这些政策根据企业的国籍来区分经济活动。

If we can prove the independence of an axiomatic system, then we can guarantee the conciseness of this system, ie.

如果能够证明某个一阶谓词系统的独立性，那么就能够保证该系统的建立是精炼的，即没有任何一条公理或推理规则是多余的。