abstract algebra
英 [ˈæbstrækt ˈældʒɪbrə]
美 [ˈæbstrækt ˈældʒɪbrə]
网络 抽象代數; 抽象代数; 近世代数; 代数结构; 抽象代数学
双语例句
- A New Exploration Of Introducing Two Abstract Concepts In Linear Algebra
关于线性代数中两个抽象概念讲解方法的新探索 - Perhaps even more striking than the advent of these ideas has been the acceptance of the axiomatic conceptual method of abstract algebra and its pervading influence throughout mathematics.
或许比这些新方法的引入更为引人注目的是抽象代数的公理化、概念化的方法以及其对整个数学学科的深远影响。 - Using the knowledge of abstract algebra, the rotation groups of the regular polyhedron are determined.
通过抽象代数知识，求出所有正多面体的旋转群。 - A abstract algebra group composed of one element is the highest abstraction of the mathematical models researched in this paper.
一阶的有限群是对本文研究的初等代数运算描述的数学模型的最高形式的抽象。 - This paper introduces the branches and content of algebra, including general algebra, elementary algebra, advanced algebra and abstract algebra.
介绍代数学的分支与内容，包括代数学、初等代数、高等代数、抽象代数。 - Abstract With the help of fuzzy calendar algebra and fuzzy operators, it is easy to describe desired temporal requirements. Show a series of pictures of Tom's activities at different times yesterday quickly.
借助模糊概念和模糊运算，对时间区间的描述很容易实现。以竞赛的形式用过去进行时描述汤姆在不同时间所做的事。 - Abstract Security Properties in Process Algebra
进程代数上的抽象安全性质 - Ideal is one of the most important concepts in abstract algebra, especially the theory of commutative ring. It is also an indispensable basic tool to study algebraic number theory.
理想概念是现代抽象代数学特别是交换环理论最核心的概念之一，也是研究代数数论学科必不可少的基本工具。 - The relationship between the total template dependencies and the total join dependencies is probed into by means of abstract algebra.
以抽象代数为工具，探索了全样本依赖与全连接依赖之间的关系。 - Moreover, multivariate splines also have certain relations with pure mathematics, such as, abstract algebra, algebraic geometry combinatorics and so forth.
另一方面，多元样条函数与基础数学的一些领域，如，抽象代数，代数几何，微分方程及组合数学等，亦有着密切关联。 - APOS theory relatively prevails abroad at present and it has already been widely used in many aspects, such as function concept, abstract algebra, dispersed mathematics, calculus.
目前APOS理论在国外比较盛行，已经在函数概念、抽象代数、离散数学、微积分等多方面领域得到广泛应用。 - The structure of Chinese thesauruses of a large Chinese information retrieval computer system is analyzed and a kind of formal description is presented through strictly inferring by using abstract algebra.
本文根据大型新闻资料计算机检索系统对中文检索语言的具体要求，对中文叙词表结构进行了分析，并以抽象代数为工具进行推导，给出了一种叙词表结构的形式化的描述方式。 - This paper shows that in teaching the visualizability of geometry can help to learn abstract theory in algebra.
在线性代数的教学中，应充分利用几何的直观背景去讲解代数中的抽象理论。 - This paper by means of set theory, presents a modified suboptimal subset polynomial regression algorithm based on abstract algebra. In the paper, most of contents for regression process are adequately described and discussed in mathematics, one important theorem and corollary are given.
提出以集合论为工具建立在抽象代数理论基础上的修正次优子集多项式回归法，对回归过程的主要内容进行了充分的数学描述和讨论，给出了一个重要的定理和推论。 - In this paper, We apply the knowledge of abstract algebra to study integral polynomials that are simplified by module p and obtain four new irreducibility tests for integral polynomials.
运用抽象代数的知识对整系数多项式进行摸p约化处理，得到了整系数多项式在有理数域Q上不可约的4个新判别法。 - In paper [ 3], the generalized inverse matrix is defined by abstract algebra method, which is difficult to understand and to use.
在文献[3]中，以线性变换广义逆的形式讨论了广义逆矩阵问题，用到的工具主要是张量概念及记号等抽象代数方法。这些工具比较生僻难懂，而且不便于直接应用。 - Sixteen algebraic operations which binary set has only are systematically analysed with abstract algebra mathods.
用抽象代数的方法系统分析二元集上仅有的16种运算，指出这16种运算中只有异或运算和等值运算能对二元集构成群； - The paper also gives some corrections to several theorems and their proofs about the dimension of the modular lattice ih the books "Modern Algebra" by Wu and "Abstract Algebra" by Xu.
并对近世代数（吴品三）、抽象代数（徐诚浩）中有关模格维数几个定理证明的遗漏，作了某些补证。 - Education for All-round Development in the Tuition of "Abstract Algebra"
抽象代数教学中的素质教育 - CRC is a subclass from linear sub-grouping coding. Its structure is based on limited field, but it can be described in detail using abstract algebra.
循环码是线性分组码中最重要的一个子类，它的结构完全建立在有限域的基础上，可以用抽象代数的方法精确描述。 - By comparing of different architecture description language ( ADL), it show the way to depict the component, the connector and the software architecture using abstract algebra and first order logic.
首先对不同的软件体系结构描述语言（ADL）进行分析，找出软件体系结构的共性。 - Research on the Circulated Group in the Abstract Algebra
抽象代数中循环群的研究 - The combination of abstract algebra, combinatorial mathematics and the matrix theory knowledge, we propose a new construction of Jacket matrix based on finite Abelian group, which expand the Jacket matrix family.
结合抽象代数，组合数学，矩阵理论等知识，提出一种有限阿贝尔群上Jacket矩阵的构造方法，扩展了Jacket矩阵家族。 - The first grade of junior school is the transition stage between elementary school and junior high school, so the learning content has been changed from the specific number to the abstract algebra, which means it needs a transition from thinking in images to abstract thinking.
初一处于小学与初中的过渡阶段，学习内容由具体的数转向了抽象的代数，意味着要从形象思维过渡到抽象思维。 - In 20th century, the view of abstract algebra is in the dominant position.
在后来20世纪的发展中，抽象代数观点占了主导地位。 - Tensor analysis creates on the basis of non-Euclidean geometry and abstract algebra appearance.
正是非欧几何和抽象代数的出现，使得张量分析得以产生。 - As an important branch of abstract algebra, theory of groups originated in the research of algebraic equations. It opens a new field of research.
其中群论作为抽象代数研究的一个重要分支起源于对代数方程的研究，它开辟了全新的研究领域。 - Abstract algebra is one of important direction of mathematical research. Object of abstract algebra is special structure such as groups, rings, fields, modules and so on.
抽象代数是数学研究的一个重要方向，它以特定的代数结构，如群、环、域、模等为研究对象。