Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Tverdokhlebov V. A. The Geometric Form of Automaton Mappings, Recurrent and Z-recurrent Definition of Sequences. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, vol. 16, iss. 2, pp. 232-241. DOI: 10.18500/1816-9791-2016-16-2-232-241, EDN: WCNQND

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
14.06.2016
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Language: 
Russian
Heading: 
Computer Sciences
UDC: 
519.713.1; 519.713.4
DOI: 
10.18500/1816-9791-2016-16-2-232-241
EDN: 
WCNQND

The Geometric Form of Automaton Mappings, Recurrent and Z-recurrent Definition of Sequences

Autors: 
Tverdokhlebov Vladimir Aleksandrovich, Saratov State University
Abstract: 

For automaton mappings we present a method to construct geometric images, a method for complexity estimate by geometric forms, a method of Z-recurrent definition of sequences. A method for complexity estimate for finite sequences by recurrent and Z-recurrent numerical indicators is proposed. Numerical indicators of recurrent and Z-recurrent definitions of sequences are systematized into the spectrum of recurrent definitions with 5 levels of numerical indicators. The spectrum includes the order of a recurrent form, the numerical characteristics of various types of recurrent sequences, etc.

Key words: 
automaton mappings
geometric images
recurrent sequence
Z-recurrent sequences
sequences
complexity estimate of a sequence
References: 
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Received: 
24.01.2016
Accepted: 
25.05.2016
Published: 
30.06.2016
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