查询词典 axiomatic set theory

Iseki , this theory contact to be suffused with universal algebra, group theory, ring theory, lattice theory,Boolean algebra,set point topology, toplogical algebra etc. we have already obtained the large quantity result to the research of the BCK algebra.

Iseki引入的代数系统，这一理论联系到泛代数、群论、环论、格论、布尔代数、点集拓扑和拓扑代数等，对BCK代数的研究已经取得了一大批的研究成果。

On the basis of the traditional cost theory of evolution, the theory is divided into bourgeois classical political economy, Marxist theory and the political economy of bourgeois philistinism three parts, and the relevant set of the final of the traditional cost theory of the 20th century development and innovation for the briefing.

本文根据传统成本理论的演进，将其分为资产阶级古典政治经济学派、马克思主义理论和资产阶级庸俗政治经济学派三个主要部分，并进行了相关阐述，最后对20世纪传统成本理论的发展和创新进行了简要介绍。

Then we introduce the dynamic model of granular space on the basis of quotient space theory, rough set theory and fuzzy set theory and discuss its main properties.

对粒度计算的基础进行了研究，主要包括粒度的描述，给出了粒度的宏观结构层次图和微观结构层次图。

It is an important base of artificial intelligence and now becomes a hot research topic domestically and abroad which includes quotient space theory, rough set theory and fuzzy set theory.

这种处理不同粒度世界的能力，正是人类问题求解的强有力的表现。

It is an important base of artificial intelligence and now becomes a hot research topic domestically and abroad which includes fuzzy set theory, rough set theory and quotient space theory.

它像一把大伞，覆盖了所有有关粒度的理论、方法论、技术和工具的研究，是用来处理不完全、不可靠、不精确、不一致和不确定的知识。

Keywords Granular Computing;Quotient Space Theory;Rough Set Theory;Fuzzy Set Theory;Granularity Space;Knowledge Space;HMM

粒度计算；商空间理论；粗糙集理论；模糊集理论；粒度空间；知识空间；隐马尔科夫模型

Its theoretic foundation is integration geometry, random theory of set, topology, modern probability, algebra, theory of set, graph theory, and so on.

其最基本的数学理论基础是积分几何和随机集论，同时还涉及到拓扑学、现代概率论、近代代数、集合论、图论等一系列数学分支。

From the defects in the basic theory of present classical infinite theory, the essential relationship between Russell's Paradox and Cantor's proof on the uncountability of real number set and the proof on the Cantor's Theorem of is analyzed and a mysterious error is found:The core of Cantor's above two important proofs in set theory are actually another versions of Russell's paradox and the very same paradoxical idea was applied in both Russell and Cantor's work, and Cantor made wrong use of this paradox idea with two logical mistakes.

从经典无穷理论体系中的缺陷入手，深入分析了罗素悖论与康托的实数集合不可数证明及康托定理证明之间的本质性联系，发现康托在这两个证明里的核心部分实际上是罗素悖论的翻版，它们与罗素悖论有完全相同的思路，并且康托犯了两个逻辑性错误而误用了这个悖论思路。

It overcomes all the errors and shortcomings of Zadeh's fuzzy set theory: it correctly reflects different kinds of fuzzy phenomena in the natural world; set complement exists on it; it has uniform calculating formulas for membership; it satisfies all formulas of the classical set theory and is consistent with classical and normal thinking, logic and concepts.

新理论能克服Zadeh模糊集合理论的三个缺点和两个错误；能正确地描绘客观世界的全部模糊现象；有补集；隶属度有统一的计算公式；并且是经典集合系统的特例，能满足全部经典集合的公式，与正常思维、逻辑和概念一致。

Differs from classic set theory, fuzzy set theory uses a value in the closed interval [0,1] to denote the extent that an element belongs to the fuzzy set.

和经典集合论不同的是，模糊集合论用单位闭区间[0，1]中的某个数值来表示元素隶属某个集合的程度。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。