Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 2, Pages 232–241
DOI: https://doi.org/10.18500/1816-9791-2016-16-2-232-241 (Mi isu641) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Computer Sciences

The geometric form of automaton mappings, recurrent and $Z$-recurrent definition of sequences

V. A. Tverdokhlebovab

a Institute of Precision Mechanics and Control, Russian Academy of Sciences, 24, Rabochaya st., 410028, Saratov, Russia
b Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia
Full-text PDF (214 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2016-16-2-232-241
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.
Bibliographic databases:
Document Type: Article
UDC: 519.713.1; 519.713.4
Language: Russian
Citation: V. A. Tverdokhlebov, “The geometric form of automaton mappings, recurrent and $Z$-recurrent definition of sequences”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016), 232–241
Citation in format AMSBIB
\Bibitem{Tve16}
\by V.~A.~Tverdokhlebov
\paper The geometric form of automaton mappings, recurrent and $Z$-recurrent definition of sequences
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 2
\pages 232--241
\mathnet{http://mi.mathnet.ru/isu641}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-2-232-241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3522918}
\elib{https://elibrary.ru/item.asp?id=26254387}
Linking options:
  • https://www.mathnet.ru/eng/isu641
  • https://www.mathnet.ru/eng/isu/v16/i2/p232
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:230
    Full-text PDF :90
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024