一般代数

By reviewing carefully original literature,it is pointed out that pursing a more general reciprocity law maby the most motive of the development of algebraic number theory, usual material mainly emphasizes the function of Fermats last theorem.

通过原始文献的深入分析，研究表明：一般互反定律的寻求可能是代数数论发展的最主要动力，而通常文献中主要强调了费马大定理的作用。

The practically oriented treatment of dynamic structural buckling is undoubtely be hampered by two problems, how to adopte a existed criterion or advance a new criterion of dynamic stability in general sense, and how to develope a simple and appealing algebraic representation in terms of singularity of the tangental stiffness matrix .

实际解决动力稳定问题的进程无疑受碍于怎样选用已有的或发展新的一般意义上的动力稳定性判定准则，以及怎样发展简洁的富有吸引力的切线刚度矩阵奇异性的代数描述方法。

When solving the problems of analytical geometry ,we commonly transfer it into algebra form and then solve it .

解有关解析几何的题目，一般都是转化为代数的形式，然后再进行解答。

Discusses algebraically and geometrically the properties of the ruled surfaces in the Euclidean three-space, especially, the principal normal surfaces on which there are some special curves, such as Mannheim curves, Bertrand curves and general helices.

在三维欧氏空间中，作为特殊曲线，Mannheim曲线、Bertrand曲线以及一般螺线具有良好的几何和代数性质。讨论了三维欧氏空间中特殊曲线的主法线曲面。

Without using Lie derivative and Lie bracket operation of differential geometry , we only use the algebra method to give a sufficient condition of single input exact feedback linearizable bilinear systems.

摘 要 研究了单输入的双线性系统的精确线性化及其鲁棒控制器设计问题，避免了用微分几何的李导数、李括号的复杂运算，只用纯代数的方法给出了一般单输入双线性系统精确线性化的充分条件。

The Cancellation for modules have a good application background in the theory of vector bundles. As a common generalization of the comparability axiom and the cancellation law, T.

比较公理和一般可比性在算子代数，Bear环和正则环的研究中起着重要的作用；模消去在向量丛理论中有着很好的应用背景。

At first, we give someelementary conception and properties of Novikov-Poisson Algebras, we elaborate on thegeneral conclusions about central extension and universal central extension in thechapter three.

我们首先给出了Novikov-Poisson代数的一些基本概念和性质，在第三章中详尽地阐述了中心扩张和泛中心扩张的一般结论。

We shall first apply the technique ofμ-bases and local cohomology to study the minimal generators for the moving surface ideals of rational cubic space curves and rational quartic space curves,and then study the implicit equations of rational space curves under different definitions of implicit equations.

在第五章中，我们将同调代数理论与μ基理论相结合，详细分析三次及四次空间有理曲线的动曲面理想生成元，为一般空间有理曲线的动曲面理想生成元的(来源：A21B12ceC论文网www.abclunwen.com)研究开辟可能的道路。

Therefore, DAE is a common mathematic tool to describe the structure-preserving power system models.

因此，微分代数系统是描述电力系统结构保留模型的一般数学工具。

In most situations, the polysome system dynamic equation is the non-linearity the ordinary differential equation or the differential - algebra system of equations, it is generally obtains the equation through the computer value simulation then get the numerical solution, then through to numerical solution analysis, understanding polysome system dynamics characteristic.

多数情况下，多体系统的动力学方程是非线性常微分方程或微分-代数方程组，一般是通过计算机数值仿真得到方程的数值解，然后通过对数值解的分析，了解多体系统的动力学特性。

Do not gum up the work by telling mother what we are going to do .

别告诉母亲我们要干的事，那会把事情搞糟的。

In recent years, application of the partial prestressed concrete beam s is developed.

近年来，随着部分预应力砼梁应用的推广，发现我国规范所采用的名义拉应力法的计算结果不稳定。