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Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

The basic factorization algorithm over algebraic extension fields is Trager's algorithm.

代数扩域上的基本算法是Trager算法。

However, in order to compute the irreducible ascending chain in Wu's method, polynomial factorizations over successive algebraic extension fields are needed.

而在吴零点分解定理中，多个代数扩域上的因式分解是非常基本的一步，主要用于不可约升列的计算。

Zhi applied the lifting technique to the factorization over successive algebraic extension fields.

支丽红则将提升技巧用于多个扩域上的因式分解算法。

Wu, Hu, and Wang independently put forward factorization algorithms over successive algebraic extension fields based on methods of equation solving.

为了解决这一问题，吴文俊，胡森、王东明分别提出了基于方程求解的多个扩域上的因式分解算法。

The parameters of codes on the curves over finite fields is always the important problem in algebraic geometry codes.

有限域上代数曲线上的码的参数问题一直是代数几何码研究中的重点问题。

Basic Mathematics has undergone an amazing evolution and born fruit on fields such as algebra, functional analysis, dynamic system, algebraic number theory and differential geometry.

基础数学的研究经过多年工作积累，在代数学、泛函分析、动力系统，代数数论，微分几何等领域在国内外有一定影响。

Buildings and Classical Groups provides essential background material for specialists in several fields, particularly mathematicians interested in automorphic forms, representation theory, p-adic groups, number theory, algebraic groups, and Lie theory.

建筑物和古典组在多个领域提供必要的背景材料的专家，尤其是数学家在自守形式，表象理论，p进组，数论，代数群感兴趣，李theor

If we study further the characteristic of this algebraic structure under the action of permutation group elements, it would provide a new approach to solve the problem about the renormalization of noncommutative scalar fields.

如果进一步考察该代数形式在置换群作用下的置换性质，就为我们提供了一种完全解决非对易标量场重整化问题的一种可能途径。

According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring,the linear block code for multiplexing systems is proposed.

依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。