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

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

Tensor of the dual space and in the "Linear Algebra"(version 2) At the same time to explain, which is "Linear Algebra"(version 2) is a major feature.

对偶空间和张量在《线性代数》(第2版)同时讲解，这也是《线性代数》(第2版)的一大特色。

The global dimension of a connected graded algebra equals to the global dimension of it viewed as a DG algebra with zero differential.

任意一个连通分次代数，如果将它视为微分为0的连通DG代数，其左整体维数与其作为连通分次代数的整体维数是一致的。

Especially, by use of the new point, the concept of atom is defined from which the essential implications of atom and nonseparation are brought in, and Stone theorem of finite Boolean algebra is extended to alleged atomic algebra.

特别本文用新的观点给出了&原子&的定义，这个定义给出了&原子&的&不可再分&的本来含义，并且将有限布尔代数的Stone定理推广到所谓原子代数中去。

Based on the knowledge of real f -algebra, the important properties of semi and unital complex f -algebra are studied.

以实f-代数的理论作为基础，主要讨论了半素和有单位元的复f-代数的重要性质。

In the second part, we study up on several algebra structures on L-Fuzzy algebra.

第二部分是关于L-Fuzzy代数中若干代数结构的研究。

It incarnates the basic thinking of studying other algebra structure in algebra.

它体现了代数学中研究其他代数结构的基本思路。

As a matter of fact we develop our study in the more general and more natural context of a theory ~ internally defined with respect to a topos of sheaves on a frame (i.e. a complete Heyting algebra; for example the algebra of open subsets of a topological space).

作为一个事实上我们在发展中的一个理论更普遍，更自然的环境研究国内关于对一帧的捆一topos中定义的（即完全Heyting代数，例如以开放的子集代数拓扑空间）。

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

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

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

四元数的代数，第一非交换的代数，就这样突然诞生了。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。