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Discrete Mathematics & Theoretical Computer Science
Article . 2003 . Peer-reviewed
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Discrete Mathematics & Theoretical Computer Science
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Episciences
Article . 2003
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Article . 2003
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Discrete Mathematics & Theoretical Computer Science
Article . 2003
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Article . 2003
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Article . 2023
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https://dx.doi.org/10.46298/dm...
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Some Algebraic Aspects of Morse Code Sequences

Some algebraic aspects of Morse code sequences
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2003 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume Vol. 6 no. 1 (eissn: 1365-8050, Copyright policy )
Authors: Johann Cigler;

doi: 10.46298/dmtcs.334

Some Algebraic Aspects of Morse Code Sequences

Abstract

Morse code sequences are very useful to give combinatorial interpretations of various properties of Fibonacci numbers. In this note we study some algebraic and combinatorial aspects of Morse code sequences and obtain several q-analogues of Fibonacci numbers and Fibonacci polynomials and their generalizations.

Related Organizations
Keywords

Fibonacci polynomial, fibonacci polynomial, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Fibonacci number, \(q\)-analogue, q-binomial coefficient, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], \(q\)-calculus and related topics, QA1-939, Morse code sequence, \(q\)-binomial coefficient, q-analogue, Factorials, binomial coefficients, combinatorial functions, Mathematics

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
Published in a Diamond OA journal