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Numerical methods and programming, 2013, Volume 14, Issue 4, Pages 496–502 (Mi vmp139)  
Вычислительные методы и приложения

Diagonal constructions in an $n$-cube

G. G. Ryabov, V. A. Serov

M.V. Lomonosov Moscow State University, Research Computing Center
Full-text PDF (192 kB)
Abstract: An extension of the constructive world of cubical structures is considered on the basis of a bijective mapping of $k$-dimensional faces for an $n$-cube into words over a finite alphabet. In essence, this extension realizes symbolic computing and is intended for the representations of diagonal constructions in an $n$-cube and operations over them.
Keywords: bijective mapping; finite alphabet; cubants; diagonal constructions; digit-to-digit (symbol) operations; half-integer points.
Received: 25.09.2013
Document Type: Article
UDC: 512.531; 515.124; 004.2
Language: Russian
Citation: G. G. Ryabov, V. A. Serov, “Diagonal constructions in an $n$-cube”, Num. Meth. Prog., 14:4 (2013), 496–502
Citation in format AMSBIB
\Bibitem{RyaSer13}
\by G.~G.~Ryabov, V.~A.~Serov
\paper Diagonal constructions in an $n$-cube
\jour Num. Meth. Prog.
\yr 2013
\vol 14
\issue 4
\pages 496--502
\mathnet{http://mi.mathnet.ru/vmp139}
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