多项式

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。

At last, we gets the coefficients of rectifying curve ploynomial through the curves fitting of three order Hermite interpolation polynomial, second order interpolation polynomial, and presents a fitting methods of small current working.

本文对高压电动机测量用电流互感器在小电流工作时电流比值误差和角度误差进行了研究，通过对引起误差的各参数的深入分析，得到误差与电流的关系，并通过三次Hermite 多项式插值法、二次多项式插值法的曲线拟合，得到曲线多项式的各系数，提出一种小电流工作时的拟合方法。

The close relationship between the Hybrid polynomial approximation and the classical Hermite polynomial approximation to rational curves and surfaces are studied, Hermite approximation is in fact a special case of Hybrid approximation. The sufficient and necessary condition for the convergence of Hybrid approximation to rational Bézier surface is deduced and proved.

围绕着有理曲线曲面的Hybrid逼近，作者研究了有理曲线曲面的Hybrid多项式逼近与传统的Hermite多项式逼近之间的密切关系，并指出Hermite逼近事实上是Hybrid逼近的一种特例，此后演绎并证明了有理Bézier曲面的Hybrid多项式逼近收敛的充分必要条件。

With some modifications of Laplace\'s approximation,we obtain uniform asymp-totic formulas for the Stieltjes-Wigert polynomial,the q~(-1)-Hermite polynomial and the q-Laguerre polynomial.

通过将Laplace逼近方法做一些改进，我们得到一些关于Stieltjes-Wigert多项式，q~(-1)-Hermite多项式和q-Laguerre多项式的一致渐近公式。

Through promoting matrix counter ,this article simply introduced the multinomial matrix ,compared with the good and bad points of the two counter algorithms in different, illustrated the utilization of counter in solving homogeneous line good equation sets, and discussed the decomposition of the Multiple polynomial matrix.

本文对逆矩阵的简单介绍后，阐述了多项式矩阵逆的定义及性质，比较了两种多项式矩阵逆的算法。讨论了在不同情况下利用逆在解线性齐次方程组的方法。最后探讨了多元多项式矩阵的分解问题。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

The paper available mapping of integral coefficient polynomial and rational number, obtain

利用整系数多项式与正有理数的对应，将多项式因式分解通过对真分数序列筛选的办法求得因式，给出了整系数多项式因式分解的一种新方法。

We make use of a normal element and circular permutations to construct polynomials over the intermediate extension field between F_q and F_ denoted by F_ where s divides t. The polynomials we constructed are F_q-linearly independent and return elements in F_q when they are evaluated at elements of the extension fields.

结合Reed-Solomon码的构造特点，我们将Chaoping Xing与San Ling所构造的线性码的方法推广到有限域的任意次扩张上，首先利用正规元和循环排列来构造系数属于F_q和F_q的任意次扩域F_之间的中间域的具有特殊性质的多项式，中间域记为F_，其中s为t的真因子，由正规元的选择可以保证所构造多项式的F_q-线性无关性，并且这些多项式在扩域F_中取值都属于F_q，从而构造出一类q元线性码。

The inverse polynomial and the invertible affine transformation exist by the finite field, linear algebra and matrix theory. The invertible affine transformation and the inversion in are easily realized by using lookup table. An algorithm can be used to get the inverse element of modulo .

本文运用有限域、线性代数和矩阵理论，论证了逆多项式和逆仿射的存在性，并且应用查表法简捷地实现了中元素的求逆和逆仿射变换；设计了一个易于在在计算机上实现的算法，来求形如的多项式模时的逆元，该多项式的系数在上。

In this paper, the property for the irreducible polynomial and questions of irreducibility for some special multinomial are studied, like the irreducibility question of , and the question for rational root on special integer polynomial of three, four times are studied.

本文研究了不可约多项式的性质和一些特殊多项式的不可约性问题，如的不可约性问题，同时研究了特殊的三次、四次整系数多项式的有理根问题。

I think he's learned how to approach hitters....

Johhny Damon说，『他已是最好的了，再没有人能够比他做的更好，我想他的球技已经完全成熟了，而且他也已经学会了如何去对付和压迫各种打击者。。。。。。

In effect, an 18 foot King Cobra could actually look down onto the average human being.

际上，一个18尺眼镜蛇王其实可以俯视到的平均人。