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Numerical methods and programming, 2010, Volume 11, Issue 4, Pages 326–335 (Mi vmp326)  
Вычислительные методы и приложения

On the metric-topological computing in the constructive world of cubic structures

G. G. Ryabov, V. A. Serov

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (2125 kB)
Abstract: A constructive approach to the algebraic (monoidal) representation of cubic structures is developed. An expansion of a cubant set by the introduction of cross-cubants is proposed. The cubant metric (Hausdorff-Hamming metric) and topological properties are studied. Some peculiarities of the implementation of concurrent computer operations on monoids are considered as a tool of supercomputing. This work was supported by the Russian Foundation for Basic Research (project 09-07-12135).
Keywords: n-cube; cubants and cross-cubants; monoid; Hausdorff–Hamming metric; concurrent digitwise operations; supercomputing; 3D-sphere.
Document Type: Article
UDC: 004.38; 515.14; 519.766.2
Language: Russian
Citation: G. G. Ryabov, V. A. Serov, “On the metric-topological computing in the constructive world of cubic structures”, Num. Meth. Prog., 11:4 (2010), 326–335
Citation in format AMSBIB
\Bibitem{RyaSer10}
\by G.~G.~Ryabov, V.~A.~Serov
\paper On the metric-topological computing in the constructive world of
cubic structures
\jour Num. Meth. Prog.
\yr 2010
\vol 11
\issue 4
\pages 326--335
\mathnet{http://mi.mathnet.ru/vmp326}
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