布尔空间中集合的代数和几何

离散数学期刊(英文) Pub Date : 2016-03-31 DOI:10.4236/OJDM.2016.62004

V. Leontiev, G. Movsisyan, Z. Margaryan

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引用次数: 4

摘要

本文研究了布尔空间Bn中子集与子集和之间的豪斯多夫距离的几何性质。主要结果是Bn中经典图形的代数表达式和解析表达式以及它们之间距离的函数。特别地，考虑了集合中的方程，并给出了它们在组合项中的解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Algebra and Geometry of Sets in Boolean Space

In the present paper, geometry of the Boolean space Bn in terms of Hausdorff distances between subsets and subset sums is investigated. The main results are the algebraic and analytical expressions for representing of classical figures in Bn and the functions of distances between them. In particular, equations in sets are considered and their interpretations in combinatory terms are given.

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离散数学期刊(英文)

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发文量

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