查询词典 polynomial model

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。

This article mainly discusses four kinds of solution system of linear equations,such as Elementary operations, the tecnique of Orthogonalization,Gaussian elimination method and Block matrix,and some ways that how to solve the multiple polynomial equations and decomposite the multiple polynomial matrix.

本文主要讨论了利用初等变换、正交化的技巧、高斯消去法和分块矩阵的四种求解线性方程组的解法，以及一些关于多元多项式方程组求解和多元多项式矩阵分解的方法。

The highest degree of all the trem in a polynomial is called the degree of the polynomial.

一个多项式的次数就是其中最大的单项式的次数。

Steepest descent method to achieve the minimum polynomial, the polynomial is a specific procedure.

详细说明：最速下降法实现多项式最小值，该程序多项式是特定的。

Baed on this result,the nonlinear problem of decomposition of multivariate polynomial is converted into series of linear problem and dedsion of divisibility of polynomial.

计算机出现后，研究多元多项式因子分解的构造和算法实现问题成为计算机代数的重要课题。对此，国内外众多学者作了大量工作。

By using the Euclidean algorithm and invertible linear transformation over a polynomial ring, the solutions of polynomial indeterminate equations of first degree was investigated in theory, and its matrix solution based on the elementary matrix transformation was proposed.

利用欧几里德算法和多项式环上的可逆线性变换，从理论上对多项式环上的一次不定方程组的解进行深入的研究，给出了用矩阵的初等变换求解多项式环上的一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序。

In addition,in the elementary theory of number through making use of primary transformation of matrix the quetient and remainder of first-degree.polynomial could be caculatedand this method should be spread applied to mth-degree polynomial,at last,the application of primary transformation would be spreaded in block matrix,here are the instances and explanation.

另外，在初等数论中，还可以用矩阵的初等变换来求一次带余除法的商及余式，并将其推广到一般除式为次多项式。最后把初等变换在分块矩阵中进行推广，并举例说明。

For every one of my New Year resolutions, I have been a backslider for years.

说到我的新年决心，我每年都做

With empathy and focus on a feeling level, we can all relate to the common ground of mutuality of emotions.

有了同情心和感觉上一级的重点，我们都可以涉及到相互的情感共同点。