查询词典 abelian theorem

From the view of the number of composition series and table subset of order or elementary abelian table algebra is depicted by making use of fundamental theorem on homomorphism of table algebra.

分别从合成列及表基的p阶、阶表子集的数目角度刻画了初等abelian表代数。

Arad and Blau proved that an abelian table algebra can be viewed as a group algebra of some abelian group G. Chapter 3 of this paper gives the structural theorem of abelian table algebras by defining a group structure in table basis. Furthermore, the structure of elementary abelian table algebras is discussed using the number of composition series of table algebras.

Arad和Blau证明了abel表代数等价于某个有限生成abel群G的群代数，受此启发本文第3节通过定义表基的一个群结构给出了abel表代数的结构定理，并从合成列数目的角度对初等abel表代数进行了细致刻画。

In chapter 4, a family of two-parameter operators on Abelian group is introduced and its interpolation theorem for approximation is established.

所得的结果包含了R.DeVore定理作为特款，还包含了算子逼近的插补定理，是非线性逼近方面的一项基础性工作。

When G is a finite abelian group, the abelian group K_1, iscalculated completely mainly using the Bass-Milnor-Serre theorem, then the structure of K_1{ZG,|G|г is clear.

K_1。 3。利用Bass-Milnor-Serre定理，我们首先计算出了G是一个有限交换群时的K_1，也就计算出了(来源：e2ABC论文网www.abclunwen.com)K_1；当G是2阶和3阶循环群时，我们计算出了K_2=1，这个结果有待于继续推广，对于计算一些环的K_2群会有所帮助。

By using these convergence theorems,it presents the Silverman-To-eplitz regular theorem and Samaratunga-Sember theorem on the Abelian topologicalgroups,the Vitali-Hahn-Saks theorem on algebras and the weak sequentially completenesstheorem of 〓-dual spaces of sequence spaces,etc.

这是抽象分析中的两个基本定理。作为应用，给出了Abelian拓扑群上的Silverman-Toeplitz正则性定理、Samaratunga-Sember定理、代数上的Vitali-Hahn-Saks定理，以及序列空间的〓对偶空间之弱序列完备性定理等。

To make our approach to be practical, we also discuss the asymptotic expansion of the operator in chapter 6 which is based on the non-abelian Stokes theorem.

但是由于格点上的算符是path-order变量的乘积，并且其构成非常复杂，按照正常的方式展开实际上是不可能的，为了使我们的算法实际可行，本文接着讨论了格点上算符的渐近展开问题，并且给出了基于non-abelStokes定理的方法，这种方法克服了以前各种办法的缺点，并且简单可行，适用于任意的Wilson算符。

Theorem factor calculated using the same order of 200% for all types of groups. and the non-abelian group of 15 bands within the structure.

本文利用不变因子定理计算确定出了200阶以内所有可换群的类型，并介绍了15阶以内非可换群的结构。

Furthermore, we will find that conditions in the above theorem are not valid for abelian table algebras.

另外我们还将通过一例子说明该判别条件对abel表代数是不成立的。

Theorem 4.〓is abelian.

定理4。〓是交换的。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。