rough and ready chap
- rough and ready chap的基本解释
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老粗
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In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.
在这一章中,首先重新给出了粗糙半群的定义,其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上,给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义,最后在粗糙群同态与同构的基础上,给出了粗糙群同态基本定理与同构定理。
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At the same time, some articles that have been studied about the theory combined pure mathematics with rough sets have been emerged, and some new mathematical notions, such as rough logic, rough ideal in semigroups, rough groups and rough subgroups, rough cosets, rough invariant subgroups and homomorphism and isomorphism of rough groups, are introduced.
同时,纯粹的数学理论与粗糙集理论结合起来进行研究已有文章出现,并不断有新的数学概念出现,如&粗糙逻辑&、&半群中的粗理想&、&粗糙陪集&、&粗糙不变子群&、&粗糙群和粗糙子群&、&粗糙群的同态与同构&。
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In the sense of cutset, the relation between the rough set of a cutset and the cutset of a rough set, a fuzzy rough set of a fuzzy primary ideal in a semigroup is proved to be its fuzzy primary ideal. The sixed chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in rings, the corresponding results of a semigroup are generalized in a ring. The last chapter is Rough-fuzzy Subsemirings in Semirings, First, the lower and upper rough-fuzzy semirings together with the left and the right ideal are defined.
利用截集意义下,截集的粗糙集与粗糙集截集的关系,证明了在完备同余关系下半群中的模糊准素理想的粗糙集是模糊准素理想;第六章是环中粗准素理想和粗模糊准素理想,将半群中的相(来源:A70BC论文网www.abclunwen.com)应结果推广到环中;第七章是半环中的粗模糊子半环,首先,给出上粗模糊子半环及上粗模糊理想等概念,并研究了它们的性质。
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Chap. 9 Maintainability:第14周
第13周 Chap. 9 Maintainability and Availability | 第14周 Chap. 9 Maintainability | 第15周 Chap. 12 Analysis of Failure Data (cont.)
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Chap. 1 Introduction:第1周
第1周 Chap. 1 Introduction | 第3周 Chap. 2 Failure Distribution | 第4周 Chap. 3 Constant Failure Rate Model
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Chap. 6 State-Dependent Systems:第7周
第6周 Chap. 5 Reliability of Systems | 第7周 Chap. 6 State-Dependent Systems | 第8周 Chap. 7 Physical Reliability Models