%0 Journal Article
%T Algebra and Geometry of Sets in Boolean Space
%A Vladimir Leontiev
%A Garib Movsisyan
%A Zhirayr Margaryan
%J Open Journal of Discrete Mathematics
%P 25-40
%@ 2161-7643
%D 2016
%I Scientific Research Publishing
%R 10.4236/ojdm.2016.62004
%X In the
present paper, geometry of the Boolean space <i>B<sup>n</sup></i> 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 <i>B<sup>n</sup></i> and the functions of distances between them. In
particular, equations in sets are considered and their interpretations in
combinatory terms are given.
%K Equations on Sets
%K Hausdorff Distance
%K Hamming Distance
%K Generating Function
%K Minkowski Sum
%K Sum of Sets
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=65251