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  boolean
They have proved that if the set of keys is a Boolean algebra or a finite field, then there does not exist a two-operation homomorphic sharing scheme.
      
In this paper the decomposition formula of Walsh spectrum of boolean functions is used to construct a class of nonlinear resilient functions.
      
Boolean parallel algorithm is improved to discover frequent fuzzy attribute set, and the fuzzy association rules with at least a minimum confidence are generated on all processors.
      
Considering connections of characteristics, this paper is aimed at the construction of optimized Boolean functions.
      
The design of reflexive behavior models for situation specific choice is investigated under the assumption that the model is based on multi-valued Boolean scales.
      
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  boole
Eine Charakterisierung der Boole'schen Algebra zu einer co -direkten Zerlegung
      
Minimale und m-minimale Variablenmengen für partielle Boole'sche Funktionen
      
Attempts to find such approximate solutions have a long history starting already with Boole [1].
      
La struttura dei reticoli continui, che sta alla base della teoria, viene studiata e se ne dà una precisa caratterizzazione in termini di retrazioni di algebre di Boole.
      
Lo spazio duale di un prodotto di algebre di Boole e le compattificazioni di Stone
      
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  a boolean
They have proved that if the set of keys is a Boolean algebra or a finite field, then there does not exist a two-operation homomorphic sharing scheme.
      
The maximal numberl(f) of conjunctions in a dead-end disjunctive normal form (d.n.f.) of a Boolean functionf and the numberτ (f) of dead-end d.n.f.
      
We consider relay switching circuits constructed from switches whose operation is described by Boolean functions with external parameters z1,…, zm and a Boolean variable x that controls the relay coil.
      
Construction of irredundant coverings of a Boolean matrix
      
Polynomial-delay construction of irreducible coverings of a Boolean matrix
      
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The fuzzy set theory is a rapidly growing branch of applied mathematics whereas the Boolean-valued model is a nonstandard model of the axiomatic set theory. This model has played a very important role in the independence proofs of the set theory. We have introduced in [1] the concept of the normal fuzzy set structure which is a characterization and generalization of fuzzy set theory and we have proved that any one normal fuzzy set structure is a Boolean-valued model of the axiomatic set theory ZFa with urelements....

The fuzzy set theory is a rapidly growing branch of applied mathematics whereas the Boolean-valued model is a nonstandard model of the axiomatic set theory. This model has played a very important role in the independence proofs of the set theory. We have introduced in [1] the concept of the normal fuzzy set structure which is a characterization and generalization of fuzzy set theory and we have proved that any one normal fuzzy set structure is a Boolean-valued model of the axiomatic set theory ZFa with urelements. We have attempted, so to speak, to set up a bridge between these two subjects. In the paper we have also provided a kind of clarification of [1] and a somewhat detailed explanation of the connection between the basic concepts of the normal fuzzy set structure and those of the existing fuzzy set theory. We have also introduced the concepts of ordinals and cardinals of the normal fuzzy sets. The study contained in this paper may be considered as a generalization and development of the theory of Boolean-valued model.

弗晰集合论是应用数学中发展十分迅速的一个领域,布尔值模型则是公理集合论的一种非标准模型,这种模型在集合论独立性证明中起着重要的作用.在文献[1]中我们曾引进正规弗晰集合结构的概念,这种正规弗晰集合结构是对弗晰集合论的一种本质的刻划与推广;在文献[1]中还证明了任一正规弗晰集合结构都是带本元的集合论公理系统ZFa的一个布尔值模型.这样,我们就在弗晰集合论与布尔值模型这两个领域间架起了一个桥梁.本文是对文献[1]的一种阐明,详细地阐明了正规弗晰集合结构与弗晰集合论中的一些基本概念之间的联系与转换,同时引进了正规弗晰集合结构的序数、基数等基本概念.本文的研究对布尔值模型方法也是一种推广与发展.

A link[1-4] in the unification of the fuzzy set theory[6,7,12] and the Boolean-valued set theory[9], this article provides the proof that the real-valued fuzzy set structure is a model of weak predicate algorithm WL through a study of its logic properties.

本文研究实值弗晰集合结构的逻辑性质,证明了这一结构是弱谓词演算WL的一个模型.本文是我们对弗晰集合论与布尔值集合论进行统一的一个环节.

A system representing the coordinate system of Boolean algebra "the image coordinate system" and a method for designing combination and sequential circuits by means of this system have been developed. The design consists of the analysis and synthesis of the circuits and both full and side combination circuits are discussed, with emphasis laid on detailed analysis and synthesis of every kind of the sequential circuits.

本文主要介绍作者所研究的一种用以表达布尔代数式的坐标系统——镜象坐标系统,和用其进行设计组合电路和时序电路的方法.设计内容包括对于线路的分析和综合.文中对于组合电路(全态的和偏态的)略加讨论.对于时序电路按其分类详述了其分析和综合的方法.

 
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