查询词典 legendre polynomial

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。

This paper provides an algorithm of constructing self adaptive partial least sqaures regression model based on Chebyshev's polynomial.It automatically builds a multinomial model based on Chebyshev's polynomial with less predicting error.

引 言偏最小二乘法[1 ] 是一种多元统计数据分析方法，它克服了自变量之间的多重相关性，既是一类模型式的方法，又是一类认识性的方法，在统计应用中起着重要的作用。

Due to the coupling of every Zernike circular polynomial in the annular field, the SEIDEL coefficients solved by wavefront fitting with circular polynomial for annular pupils with big central obscuration would have larger errors.

由于Zernike圆多项式各项在环域上的交叉耦合，对于具有大中心遮拦的环孔径波面采用圆多项式拟合求解SEIDEL像差系数存在较大误差。

And certain q-polynomial coalgebras arisesnaturally,which is a q-deformation of classical polynomial coalgebra.

并且我们自然地引出了一类q-多项式余代数，它是经典多项式余代数的变形。

The polynomial greatest common divisor is one of the most important polynomial contents, as which is not only the basic summary in the whole Higher Mathematics and Number Theory .

多项式最大公因式是多项式众多内容中十分重要的一项，它在整个高等代数、抽象代数、数论等科目当中，既是基础性的内容，也是很多其它项目研究中要求具有的储备知识。

Polynomial function ; Finite commutative ring ; Finite commutative local ring; Teichmller representatives; Witt polynomial

基础科学，数学，代数、数论、组合理论多项式函数；有限交换环；有限交换局部环； Teichmller提升； Witt多项式

The work in this thesis is based on continued fraction theory. Combining continued fractions with polynomial functions, we construct a new osculatory continued fraction interpolation—osculatory rational Hermite-like interpolation. Its representation is simpler than that of Hermite polynomial interpolation and its computation is concise since the continued fractions coefficients can be worked out by using Viscovatov algorithm.

与之相关的理论成果不断地推陈出新，本文就是在连分式理论的基础上做了相应的工作，将多项式和连分式相结合，构造了一种新的切触有理插值——类Hermite切触有理插值，新的插值方法在表示形式上比传统的切触有理插值更直观，并且通过引入Viscovatov算法，切触插值连分式的系数求解得以简化。

The cubic interpolation polynomial is got firstly in the given sub-range of the hydrophone's sensitivity-frequency curve by using the Akima curve smoothed algorithm, and the maximum of the polynomial is calculated in the sub-range by using the one dimension extreme value continued fraction algorithm, finally the frequency of the hydrophone is got.

频率测试是在灵敏度详细测试的基础上，采用阿克玛曲线光滑算法求出检波器幅频特性曲线在给定子区间上的三次插值多项式，再利用一维极值连分式法求出该区间上多项式的极值，从而求出检波器的频率值。

The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding classical self-orthogonal linear codes over the Galois field GF(4) under a Hermitian inner product. A classical cyclic code over the field GF(4) is self-orthogonal with respect to the Hermitian inner product iff the generator polynomial of its dual code is a factor of its generator polynomial.

寻找量子稳定子码的问题可以转化为寻找GF(4)上厄米内积自正交的经典线性码的问题；对于GF(4)上的经典循环码，它是厄米内积自正交的，当且仅当它的对偶码的生成多项式是其生成多项式的因子。

The algorithm is practicable and efficient in finding approximate roots of a cyclotomic polynomial, and gives a new method to judge a polynomial that can pitch cirle.

该算法在求分圆多项式的近似根方面是可行的，并取得比较好的效果，为判定一个多项式是否分圆提供了一种新方法。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？