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1·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。

2·Hermann Weyl In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual matehmatical domain.

在这些日子里，拓扑这个天使和抽象代数这个魔鬼为各自占有每一块数学领域而斗争着。

3·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。

4·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。

5·Group Explorer is mathematical visualization software for the abstract algebra classroom. Users can explore dozens of finite groups (and morphisms among them) visually and interactively.

这是一个数学的形象化软件用于抽象代数课堂。用户可以交互直观的探究很多的有限组。

6·Scientific computing software is to convert the image of the abstract knowledge, by the application of theory into a tool in order to online teaching of algebra into the aesthetic education possible.

科学计算软件就是将抽象知识转换为形象，由理论转化为应用的一种工具，从而在线性代数的教学中融入审美教学成为可能。

7·Linear algebra content is more abstract, logic is stronger.

线性代数内容比较抽象，逻辑性比较强。

8·The goal of this paper is to specify abstract data type and provide its mathematical meaning by using algebra structure;

本文的目的在于利用抽象代数结构来描述抽象数据类型并给出它的数学含义；

9·Abstract With the help of fuzzy calendar algebra and fuzzy operators, it is easy to describe desired temporal requirements.

借助模糊概念和模糊运算，对时间区间的描述很容易实现。