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Impulse Propagation in Compositions and Words
- Source :
- International Journal of Mathematics and Mathematical Sciences, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- We consider compositions of n represented as bargraphs and subject these to repeated impulses which start from the left at the top level and destroy horizontally connected parts. This is repeated while moving to the right first and then downwards to the next row and the statistic of interest is the number of impulses needed to annihilate the whole composition. We achieve this by conceptualizing a generating function that tracks compositions as well as the number of impulses used. This conceptualization is repeated for words (over a finite alphabet) represented by bargraphs.
- Subjects :
- Article Subject
Conceptualization
010103 numerical & computational mathematics
Impulse (physics)
Composition (combinatorics)
01 natural sciences
010101 applied mathematics
Mathematics (miscellaneous)
Subject (grammar)
QA1-939
0101 mathematics
Alphabet
Arithmetic
Mathematics
Statistic
Generating function (physics)
Subjects
Details
- ISSN :
- 16870425 and 01611712
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- International Journal of Mathematics and Mathematical Sciences
- Accession number :
- edsair.doi.dedup.....fbfa0c07c434ff5007af43592f9f3b79