论

However, despite such categorical pronouncements as "…the above shows that the ring is not the fundamental system for associative algebra of double composition "found in [Vandiver,1939], semirings never became popular and the interest in them among algebraists gradually petered out, although it never died completely.

这些年来，半环被各类研究者所探究或者是在他们的本身及尝试从半群理论和环论中拓展研究方法，或者联系于各种应用。然而，尽管这种范畴的看法"…上面表明环不是最基本的系统对于双复合结合代数"（这句话出自[Vandiver ，1939]）。半环没有受到他们的欢迎和引起他们的兴趣进而逐渐淡化，尽管没有彻底的消亡。

The associativity and precedence of an operator depends on the programming language in question.

操作符的结合性和优先级依赖于计论的程序设计语言。

But there are also many people for such an asteroid impact on the skeptical.

但也有许多人对这种小行星撞击论持怀疑态度。

There are three aspects:(1) logical analysis is the base and factors of building logical atomism;(2)proposition system of expressing scientific knowledge——atomic proposition, molecularproposition, and generalized proposition;(3) picture theory of prepositional meaning is the core of logical atomism.

主要有三个方面：(1)逻辑分析是逻辑原子主义建立的基础和条件；(2)表达科学知识的命题系统——原子命题、分子命题和概括命题；(3)命题意义的图像论是逻辑原子主义的核心内容。

Democritus was one of the earliest philosophical materialists and speculated about the atomic structure of matter.

德谟克利特是最早的唯物主义哲学家之一，也是最早的原子论创始人之一。

Examples of the latter are the atomic theory of matter and the wav e theory of light.

物质的原子论和光波轮便是后者的例证。

However,the European,with deeply rooted tradition of atomic theory,stuck to the principle of positivism.

可是 ，具有根深蒂固原子论传统的欧罗巴人，信守逻辑实证主义的思维原则，在人体解剖实验的基础上，利用还原分析和实验求证的方法，使古希腊医学从思辨走向描述和结构时代，这是顺乎逻辑的自然发展。

Atomism is committed to the work of chemistry and physics.

致力于化学和物理学中原子论工作。

In the universe, the philosophy of atomism he insisted that everything is atoms and empty primitive.

在宇宙观上，他坚持原子论哲学，认为一切事物的本原是原子和虚空。

This allowed him to avoid the determinism implicit in the earlier atomism and to affirm free will.

这就使得他避免了蕴涵在早期原子论中的决定论，进而承认自由意志。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。