演算

Two-valued logic with elements "0","1" is well-known to everyone and it provides the implementations for studying propositional logic and logical networks.

包含"0"，"1"两个元素的布尔代数已为人们所熟知，它给命题演算和对逻辑网络的研究提供了很好的工具。

In the last chapter we introduced the concept of pseudo code as a way to express algorithms.

在第一章我们介绍虚码来解释演算法的概念。

By employing the theory of ∑Γ－fuzzy truth degree, the concepts of Γ-pseudometric on F was proposed in the propositional logic system Ln. The results obtained can complement and enhance the original theory of metrology of logic, and can give a new frame for fuzzy reasoning study.

特别地证明了真度关系：τΓ+τΓ≤1+τΓ，并利用这一关系在模糊命题演算系统Ln中的公式集F上引入相对于有限理论的Γ-伪距离，从而为在模糊命题逻辑系统Ln中建立相对于有限理论的近似推理框架奠定了基础。

Having combination of the theory of truth degree in metrology of logic with the theory of ∑-α-tautologies in fuzzy logic, which have been introduced by professor G.J.Wang, the theory of ∑Γ-truth degree was introduced, and its properties which induce a pseudometric on F were investigated. The results gained have complemented and enhanced the original theory, and the work delivers a new frame for fuzzy reasoning.

将模糊命题逻辑中的∑-α-重言式理论与计量逻辑学中的真度理论相结合，在经典二值命题演算系统L中引入了公式相对于有限理论的∑Γ-真度理论，较为详细地讨论了它们的性质，并利用∑Γ-真度的性质在公式集F上引入了ρΓ-伪距离，对原有的理论进行了加强和补充，为在模糊命题逻辑系统的有限理论中讨论结论的程度化问题奠定了基础。

By employing the theory of ∑Γ－fuzzy truth degree, the concepts of Γ-pseudometric on F was proposed in the propositional logic system Ln.

特别地证明了真度关系：τΓ+τΓ≤1+τΓ，并利用这一关系在模糊命题演算系统Ln中的公式集F上引入相对于有限理论的Γ-伪距离，从而为在模糊命题逻辑系统Ln中建立相对于有限理论的近似推理框架奠定了基础。

Chemistry also uses calculus in determining reaction rates and radioactive decay.

化学也使用演算在确定反应速率和放射性衰变。

Leibniz's calculus ratiocinator, which resembles symbolic logic, can be viewed as a way of making such calculations feasible.

莱布尼茨的"推理演算"，类似于符号逻辑，可以被视为进行此种可行计算的方式。

His characteristica universalis, calculus ratiocinator, and a "community of minds"—intended, among other things, to bring political and religious unity to Europe—can be seen as distant unwitting anticipations of artificial languages, symbolic logic, even the World Wide Web.

他的普遍语言、推理演算与"心灵共同体"—意在把欧洲带向政治与宗教统一—可视为对很久以后人工语言、符合逻辑与万维网的无意预见。

In comparison with previous re-search, our results are satisfactory while the algorithm takes less CPU time than those of previous works.

和以前之研究成果比较，本演算法可以在较短之执行时间内得到良好的结果。

However, the calculus of realpolitik gives primacy to existence, leaving limited room for ethical considerations.

然而，现实政治的演算最重视的存在，使得对伦理的考虑空间有限。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。