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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 4, Pages 58–64
DOI: https://doi.org/10.18500/1816-9791-2010-10-4-58-64 (Mi isu191) 		 
Computer science

The automata interpretation of integer sequences

A. S. Epifanov

Saratov State University, Chair of Discrete Mathematic and Information Technologies
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DOI: https://doi.org/10.18500/1816-9791-2010-10-4-58-64
Abstract: Transformation of phase pictures to geometrical images of laws of functioning of state machines, offered and developed by V. A. Tverdokhlebov, has allowed to represent phase pictures by uniform mathematical structures – broken lines with numerical coordinates of points. V. A. Tverdokhlebov shows, that sequence of elements from the finite set, combined with linear order on set of input words, defines laws of functioning of the discrete determined dynamic system (state machine). It allows carry out the analysis of laws of functioning of state machines on the basis of research of properties of numerical sequences, and also it allows to research properties of numerical sequences by the analysis of properties of state machines.
Key words: finite state machine, geometrical image of state machine, integer sequences.
Document Type: Article
UDC: 519.713+519.718.7
Language: Russian
Citation: A. S. Epifanov, “The automata interpretation of integer sequences”, Izv. Saratov Univ. Math. Mech. Inform., 10:4 (2010), 58–64
Citation in format AMSBIB
\Bibitem{Epi10}
\by A.~S.~Epifanov
\paper The automata interpretation of integer sequences
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 4
\pages 58--64
\mathnet{http://mi.mathnet.ru/isu191}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-4-58-64}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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