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Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory.

主要成果,如Sz。,纳吉扩张定理,外尔,冯诺依曼,伯格定理与冯诺伊曼代数的分类,覆盖,就像一个Fredholm算子理论的待遇。

Based on the methods and techniques of covering theory, the structure of module category of tame concealed algebra, one-point extension, vector space category, finite enlargement, degeneration theory, stable equivalence and combinatorial method, we will classify all of the three-point algebras with Gabriel quiver the system quiver Q according to representation type. We get the classification theorem: Let A=kQ/I be a three-point algebra given by the system quiver Q.

本文综合利用覆盖理论,tame concealed代数模范畴的结构,单点扩张,向量空间范畴,有限enlargement,退化理论,稳定等价以及组合的方法等多种方法和技巧,将所有由系统箭图Q给出的三点代数按表示型进行分类,得到如下分类定理:Q是系统箭图,I是kQ的一个admissible理想。

We can classify this as the result of cultural expansion.

这方面,我们可以将之归为文化扩张的结果。

But the real sticking point for a post-bubble US economy is that this government-sponsored increase in personal saving does little to advance the purging process that America so desperately needs in order to clear the decks for a sustainable and vigorous expansion.

但对于泡沫破灭后的美国经济来说,真正的症结在于,政府拉动的居民储蓄率上升无助于推进美国急需的过剩清理工作,而这是美国经济恢复可持续的强劲扩张所需的准备工作。

The state's economic clout is expanding in other ways.

在其他方面,巴西的国有经济影响力也在扩张

We give some examples of BiFrobenius algebras based on the extensions of algebras and coalgebras . Let H be a bialgebra of finite dimension . Then T= H⊕H* has an algebra structure and a coalgebra structure also . We discuss the properties of T , and get the necessary and sufficient condition for T to be a BiFrobenius algebra .

然后根据代数余代数的平凡扩张给出一类BiFrobenius代数的例子,设H是有限维双代数, T= H⊕H*既有代数结构也有余代数结构,研究T的性质,给出了T成为BiFrobenius代数的充要条件,即定理3.9。

For example, the coefficient of thermal expansion of concrete, which is a thermal property, is fundamental to calculate the expansion potential of a concrete slab.

例如,热膨胀混凝土,这是一个热性能系数,是至关重要的计算混凝土板的扩张潜力。

As a result, there are no problems with differences in thermal expansion coefficient of material.

因此不会因为材料扩张系数不同而产生问题。

Dually, we discuss the case of cosemisimple coextension.

对偶地,我们讨论了余半单余扩张的情况。

Symptoms of 2 patient underwent sigmoid colectomy and one patient undergoing intestinal decompression procedures were not relieved after operation.

慢性假性结肠梗阻是一种少见疾病,切除全部扩张的、无功能肠段可使大多数患者的症状缓解。

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Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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世纪伟人邓小平的富民思想,是邓小平经济理论体系中的重要组成部分,是我国经济建设根本任务的一个重要方面。