域的扩张

词组短语

extension of a field

与域的扩张相关的网络例句 [注：此内容来源于网络，仅供参考]

Then we used Kriging interpolation technique in geological statistics to establish geological graphics model,and presented the method of searching known sample points in the region to be interpolated adjacent to triangle mesh vertex with"polygon"expanding,and the method of dealing with the impact of boundary and faultage on interpolated results by distance revolving.

首先给出限制条件下的区域Delaunay剖分原理；其次采用了地质统计学中的克里金插值技术建立图件模型，提出了"多边形"扩张法搜索待插值三角网格顶点邻域内的已知采样点，以"距离环绕法"处理了断层和边界对插值结果造成的影响；结合地质图件自动建立过程；最后给出了一个具体的应用实例。

We use different method to study the counting problem of primitive elements in the extension of finite field and obtain a new identity on Euler function.

用不同的方法研究了有限域扩张的本原元的计数问题，并得到一个关于Euler函数的新的恒等式。

There exists t∈K, such that K/Fq is a finite separable extension, where Fq isa finite field with q elements, k = Fq is the rational function field over Fq.

存在t∈K，使得K/Fq为有限可分扩张，其中Fq为q元有限域， k = Fq是Fq上的有理函数域。

According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一，该文对四次域Q进行了讨论；利用Galois扩张、域的判别式及整基等一些理论，得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m，n是2个不同的无平方因子有理整数)。

Because the hardware and software may be implemented quickly if wechoose proper normal bases to represent finite fields. In this paper, we first introducesome basic definitions and facts on normal bases over finite fields, then extend theseresults to any Galois extension fields.

在这篇文章中，我们先介绍了有限域上的一些基本定义及关于正规基的相关结论，进而将域扩张到一般的伽罗瓦扩域中，得到了伽罗瓦扩域中正规基与其对偶基等价的充分必要条件，从而将有限域上正规基的等价条件推广到任意伽罗瓦扩域上。

It includes the basic structural theory of groups; groups'actions on sets and the applications of these actions; the basic structures of rings; the properties of uniquely factorized domains; the Chinese Remainder; the extensions of fields; finite fields with applications; the Galois theory with applications.

主要内容包括群的基本结构理论、群在集合上的作用及其应用、环的基本结构和因子分解理论、中国剩余定理、域的扩张理论、有限域及其应用、Galois 理论及其应用。

In this paper,we build symplectic structure of 2-nd order and high order singular differential operators on infinite interval, we construct a symplectic space by the maximal and minimal operator domain .

本文研究了无穷区间上二阶、高阶奇型微分算子的辛结构，利用最大与最小算子域构造了一个辛空间，用辛空间中的线性流形来刻画定义在无穷区间上二阶、高阶奇型对称微分算子的自共轭扩张问题。

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。

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。

The processes of ignition in single tube and propagation in multi-tube PDE with convergent divergent nozzle.

采用带扩张－收敛喷管的多管脉冲爆轰发动机模型，把计算域分成若干子域进行并行求解。

与域的扩张相关的网络解释 [注：此内容来源于网络，仅供参考]

absolute class field：绝对类域

给出的定义后来被改称为绝对类域(absolute class field).高木证明了:代数数域k的任何阿贝尔扩张K均可表示成k上的类域.此定理通常被称为是类域论的基本定理或主定理.1920年9月25日高木贞治在法国斯特拉斯堡举行的世界数学家大会(9月22日�

algebraic extension：代数扩域(代数扩张)

"代数元素","algebraic element" | "代数扩域(代数扩张)","algebraic extension" | "对应的通用映射","corresponding universal map"

algebraic extension of a field：域的代数扩张

algebraic equivalence | 代数等价 | algebraic extension of a field | 域的代数扩张 | algebraic family | 代数族

extension module：扩张模

extension 扩张 | extension module 扩张模 | extension of a field 域的扩张

extension of a field：域的扩张

extension module 扩张模 | extension of a field 域的扩张 | extension of the residue field 剩余域的扩张

extension of the residue field：剩余域的扩张

extension of a field 域的扩张 | extension of the residue field 剩余域的扩张 | extension principle of propositional logic 命题逻辑的外延性原理

extension principle of propositional logic：命题逻辑的外延性原理

extension of the residue field 剩余域的扩张 | extension principle of propositional logic 命题逻辑的外延性原理 | extension theorem 扩张定理

finite dimensional extension field：有限维扩张域

finite dimensional 有限维的 | finite dimensional extension field 有限维扩张域 | finite dimensional operator 有限维算子

overfield：扩张域

overdetermined system of partial differential equations 偏微分方程的超定组 | overfield 扩张域 | overflow 溢出

corresponding universal map：对应的通用映射

"代数扩域(代数扩张)","algebraic extension" | "对应的通用映射","corresponding universal map" | "定义域","domain"