多项式环

词组短语

polynomial ring

与多项式环相关的网络例句 [注：此内容来源于网络，仅供参考]

Group, Subgoup, Permutation Group, Cyclic Group, Commutative Group, Normal Subgroup, Factor Group, Isomorphism, Ring, Ideal, Field, Polynomial Ring, Factor Ring.

课程内容：群，子群，置换群，循环群，交换群，正规子群，商群，群之同构，环，理想，体，多项式环，商环等。

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。

This paper is generaly devided into three parts,The first prepare knowledge,introduceing some conceptions asssociated with the polynomial ring and ring of power series such as power-zero element,inverse element and primitive polynomia and so on,prepare to introduce characters of power series.

本文主要分为以下三部分：首先介绍与环、多项式环、幂级数环密切相关的一些概念，如幂零元、可逆元、本原多项式等，为接下来介绍幂级数环的定义及其性质做下铺垫；然后着重讨论了环的性质，加深对多项式环与幂级数环的理解；最后讨论了多项式的性质，并将这些性质推广到幂级数环中，这也是本文的重点所在。

Deterministic irreducible polynomial and primitive polynomial over finite rings, i. e. polynomial rings with coefficients in finite fields, are obtained.

在系数属于有限域的多项式环即有限环上，给出确定型的不可约多项式和本原多项式。

The theory of rings is an important content of Modern Algebra, while the polynomial rings is an important part of the rings. Polynomial ring is similar with power series ring, and it is a subset of the power series.

摘要环论是近世代数中的重要内容，而多项式环的性质又是环论理论中的重要组成部分，多项式环是幂级数环的子环且与幂级数环形式相近。

Through comparing the ring and polynomial ring to power series, the defition and theorem of the ring and polynomial ring can be extended into power series.

通过对比环、多项式环与幂级数环，将环、多项式环中的性质推广到幂级数环中。

In chapter 1, one type of maximal subgroups in symplectic groups overpolynomial rings are obtained. Let F be a field, R = F be a ring of polynomial in one variable over F, m be a positive integer, f eF and S be the ideal of R generated by -f, We define:, then G is a maximalsubgroups of Sp(2m,R).

在第一章中，得到了多项式环上辛群的一类极大子群：设F是一个域，R=F是域F上关于λ的一元多项式环，m是一个正整数，f∈F，S是R的由λ-f生成的理想，则是Sp(2m，R)的一个极大子群。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

Robust strict positive real stabilization problem is formulated, and related stabilization criteria for uncertain systems with parameter variations and unstructural perturbations estabilished by Wei are derived.

把Kokame-Mori关于区间多项式阵的稳定性结果一般化到了矩阵的每个元素不再仅是一个区间多项式，而是多个区间多项式在多项式环上线性组合的情况。

This paper mainly deals with distribution of primitive polynomials and primitive elements over finite fields. LetFq be a finite field of q elements with characteristic p , xn + a1xn-1 +...+ an-1x + an be a polynomial over Fq .

本文主要研究有限域上本原多项式及本原元的分布，设F_q表示有q个元素的有限域，q为素数的方幂，F_q是F_q的多项式环，文献[10][11]中证明在F_q上，存在可预先指定a_1，a_2的n≥7次本原多项式。

与多项式环相关的网络解释 [注：此内容来源于网络，仅供参考]

ring of convergent power series：收敛幂级数环

ring of compressed cardboard 纸板环 | ring of convergent power series 收敛幂级数环 | ring of differential polynomials 微分多项式环

differential polynomial ring：微分多项式环

微分多项式 differential polynomial | 微分多项式环 differential polynomial ring | 微分质理想 differential prime ideal

ring of differential polynomials：微分多项式环

ring of convergent power series 收敛幂级数环 | ring of differential polynomials 微分多项式环 | ring of endomorphisms 自同态环

polynomial model：多项式回归

分圆多项式:cyclotomic polynomial | 多项式回归:polynomial model | 多项式环:polynomial rings

polynomial of degree n：次多项式

多项式模;多项式加群 polynomial module | n次多项式 polynomial of degree n | 多项式环 polynomial ring

polynomial representation：多项式表示

链环多项式:Link polynomial | 多项式表示:polynomial representation | 本原多项式:primitive polynomial

polynomial representation：多项式表示法

"多项式码","polynomial code" | "多项式表示法","polynomial representation" | "多项式环","polynomial ring"

polynomial ring：多项式环

多项式回归:Polynomial | 多项式环:polynomial ring | 零次多项式:zeroth polynomial

polynomial solution：多项式解

polynomial ring 多项式环 | polynomial solution 多项式解 | polynomial theorem 多项式定理

stiffening ring：加强环式

多项式环:polynomial ring | 加强环式:stiffening ring | 群分次环:group-graded ring