本质

This process is actually the process of algebraic extension; also it is the basic way of algebra: organizing some objects into an operation system, and then study the relationship between elements or parts of the system.

这实际上是代数扩张的做法，也是代数的本质：将一些对象组织成一个运算体系，研究这个体系中各个个体之间以及部分与全体之间的关系。

On the other hand, equivariant algebraic topology concerns the study of algebraic invariants of space with group actions. It is really a study of symmetries on spaces, and has always occupied a central role in mathematics.

在另一方面，等变代数拓扑关注于带有群作用的拓扑空间代数不变量的研究，其更深刻的本质在于对空间对称性的揭示，因此从来都在数学研究中占有重要的地位。

It's really the natural setting for algebraic topology because the traditional algebraic invariants (fundamental group, homolog group,etc.) arc isomorphic not only for homeomorphic spaces but for spaces of the same homotopy type. Homtopy epimorphisms and monomorphisms are special morphisms in the category of topological spaces and the initial research of them may be traceable to S.T.

同伦论的本质是利用比同胚关系更广泛的等价关系—同伦关系来对拓扑空间进行研究，这也是代数拓扑研究中一种自然的考虑，因为传统的代数不变量不仅在同胚的空间之间保持同构，而且在具有相同伦型的空间之间也保持同构。

The essence of algebraic structure is: one or more kinds of operations, which are compatible with each other, are defined on a non-empty set so that a object with perfect properties can be constructed.

代数结构的本质是：在一个非空集合上有一种或多种运算，各运算之间相互结合，构成一个具有完美性质的对象。

This reciprocal alienation is the essence and support of the existing society.

这种彼此的异化是现存社会的本质和支撑。

Europe has for the easy-going peoples of Southeast Asian tropical countries, the sense of alienness and caution which it feels for the Chinese-cultural-sphere countries of northeastern Asia makes it difficult for us to contemplate relations between the European and Asian domains employing a one-sided

是完全基於两岸关系或是一个中国的认定决策所影响的话，恐嫌过分本位化了一些。相较於美国，由於欧洲、东亚洲之间的距离遥远，以及双方保守的传统本质，其实双方对彼此的兴趣与野心都是被动多於主动，与其贸然前进不如多加观察。

The people of Sufism say that the absolute unseen Essence of Allah Exalted and Almighty is expressed by the last letter vowelized by the Alif,"Ha."

苏菲们认为崇高和全能安拉的绝对未见本质被最后一个从艾力夫变来的字母"哈"表达出来了。

As country undergoes perestroika, open and clannish lives are radically re-assessed and Sasha sees the ethnic and sexed upheavals as a crisis of civilization, and a alikeness of his possess psychoneurotic studies into the nature of the Universe itself.

由于当时苏联正经历重组改革，对公共和私人生活从根本上进行了重新评估，萨沙认为这次社会和性的大变动是文明社会的危机，也反映了他对宇宙本质执着研究。

This fixed view is essentially alist of source files that make up the software item or product and the specificversion of each file that was in use at a precise but common point in time.

这个固定视图本质上是一个源代码文件的列表，由软件项或者产品，以及每个文件特定的版本构成，这些文件在一个特定的但是非常普通的点被使用。

First of all,the content of alkali of raw materials of concrete must be high.

并对混凝土工程发生碱-集料反应的内在本质和作用机理进行了分析。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。