代数

Also prove that every bounded linear approximately local Hilbert space representation of a abelian von Neumann algebra is a representation,every bounded linear approximately 2- local Hilbert space representation of a von Neumann algebra is a representation.

同时证明了交换von Neumann代数的有界近似局部表示是表示，每个von Neumann代数的有界近似2—局部表示是表示。

Suppose G is a finite group, then QG is a semisimple Q-algera, obviously ZG is a Z-order of QG,we denote the maximal Z-order by ?.If G is not abelian, it is not an easy thing to determine г; if G is an abelian group, then QG is isomorphic to the direct sum of a finite number of number fields, and r is the direct sum of these rings of algebraic integers of those number fields, but which elements of QG belong to r is not clear.

设G是一个有限群，那么QG是一个半单代数，ZG是QG的一个Z-序，设Γ是QG的一个极大Z-序，当G是一个非交换群时，Γ的求解是困难的问题；当G是一个交换群时，QG同构于有限多个数域的直和，Γ相应的就是各数域代数整数环的直和，但Γ具体是QG中那些元素不清楚。

Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一，它有着丰富的物理背景，它既是代数研究的对象，又是几何研究的对象，是集"数、形"于一身的数学概念，是抽象代数、线性代数、泛函分析中的基本数学模型。

The theoretical knowledge and experimental research shows that this method can increase the reconstruction speed.Based on SART, a modified simultaneous algebraic reconstruction method is also presented, which takes into account both the density of pixel an

对代数重建法和联合代数重建法的思想根源以及由此而导致的性能上的差异进行了研究分析，提出了基于代数重建法的改进算法，该算法将相邻的像素综

David Eisenbud, Commutative Algebra with a view toward Algebraic Geometry

高级的代数几何、交换代数的参考书，最新的交换代数全面参考

In Chapter Seven, This chapter established on the comparison of the Fibonacci's Liber Abaci, al-Khwārizmī'algebra and al-Karajī's al-Fakhrī.

本章建立在对斐波那契《计算之书》、花拉子米《代数》、以及凯拉吉的《奇妙之事》中代数学比较研究基础之上，分析他们在代数技巧、代数方法有效性的证明方法、未知数设定、二次方程分类、算题选择和设置形式等方面的异同。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born.

它们对应的一般代数分别是正则双Stone代数、预粗代数和半简单Nelson代数。

Using the concept of regular elements,we obtain some results on the classificationof dipolarizations in general symmetric self-dual Lie algebras.

在第六节中，我们把半单李代数的特征元的概念推广到任意带有双极化的对称自对偶李代数上〓用正则元的概念，得到了一般对称自对偶李代数上双极化的一些分类结果。

For example, the set algebra for the set T defined above corresponds to a Boolean algebra of 32 elements.

例如，上文定义的集合的个元素集合代数就对应一个有32个元素的布尔代数个元素的布尔代数。

The concept of congruence is an important content of the universal algebra and congruences play a fundamental role in defining the structure and properties of the universal algebra.

同余是泛代数的重要研究内容，泛代数上的同余在一定意义上能够刻画和确定泛代数的结构和性质。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

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起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。