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Sums of Digits, Overlaps, and Palindromes [PDF]

open access: diamondDiscrete Mathematics & Theoretical Computer Science, 2000
Let s_k(n) denote the sum of the digits in the base-k representation of n. In a celebrated paper, Thue showed that the infinite word (s_2(n) \bmod 2)_n≥ 0 is \emphoverlap-free, i.e., contains no subword of the form axaxa where x is any finite word and a ...
Jean-Paul Allouche, Jeffrey Shallit
doaj   +2 more sources

Optical Genome Mapping Identifies a Second Xq27.1 Rearrangement Associated With Charcot-Marie-Tooth Neuropathy CMTX3. [PDF]

open access: yesMol Genet Genomic Med
Background X‐linked recessive type 3 Charcot–Marie–Tooth (CMTX3) is a rare subtype of childhood‐onset CMT. To date, all reported CMTX3 patients share a common founder 78 kb insertion from chromosome 8 into the Xq27.1 palindrome region.
Rahikkala E   +9 more
europepmc   +2 more sources

Palindromes in the school

open access: yesLietuvos Matematikos Rinkinys, 2021
Various palindromes are considered: words, sentences, numbers, polynomials. The topic could be offered as interdisciplinary theme for high school.
Juozas Juvencijus Mačys
doaj   +1 more source

Longest Gapped Repeats and Palindromes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
A gapped repeat (respectively, palindrome) occurring in a word $w$ is a factor $uvu$ (respectively, $u^Rvu$) of $w$. In such a repeat (palindrome) $u$ is called the arm of the repeat (respectively, palindrome), while $v$ is called the gap. We show how to
Marius Dumitran   +2 more
doaj   +1 more source

A complete comparison for the number of palindromes in different bases

open access: yesAIMS Mathematics, 2023
Let $ b $ and $ b_1 $ be distinct positive integers larger than $ 1 $, and let $ A_{b} (n) $ and $ A_{b_1} (n) $ be the number of palindromes in bases $ b $ and $ b_1 $ that are less than or equal to $ n $, respectively.
Phakhinkon Napp Phunphayap   +1 more
doaj   +1 more source

Artistic Collaboration in an Interactive Dance and Music Performance Environment: Seine hohle Form, a project report

open access: yesBody, Space & Technology Journal, 2001
Unique and largely unexplored problems face composers and choreographers as they collaborate on interactive performance works, not the least of which is settling on schemes for mapping the various parameters of human movement to those possible in the ...
Frieder Weiss   +2 more
doaj   +3 more sources

Extremal orders and races between palindromes in different bases

open access: yesAIMS Mathematics, 2022
Let $ b \geq 2 $ and $ n \geq 1 $ be integers. Then $ n $ is said to be a palindrome in base $ b $ (or $ b $-adic palindrome) if the representation of $ n $ in base $ b $ reads the same backward as forward.
Phakhinkon Phunphayap   +1 more
doaj   +1 more source

Semantics and Pragmatics of Palindromes in Language and Internet Communication

open access: yesНаучный диалог, 2021
The semantic and pragmatic features of palindromes are considered as an important component of the Russian linguistic picture of the world. The question of establishing the scope and boundaries of the concept of “palindrome” is raised, the specificity of
I. N. Ponomarenko   +2 more
doaj   +1 more source

Palindromic Sequence-Targeted (PST) PCR, Version 2: An Advanced Method for High-Throughput Targeted Gene Characterization and Transposon Display

open access: yesFrontiers in Plant Science, 2021
Genome walking (GW), a strategy for capturing previously unsequenced DNA fragments that are in proximity to a known sequence tag, is currently predominantly based on PCR.
Ruslan Kalendar   +4 more
doaj   +1 more source

Palindromic Vectors, Symmetropy and Symmentropy as Symmetry Descriptors of Binary Data

open access: yesEntropy, 2022
Today, the palindromic analysis of biological sequences, based exclusively on the study of “mirror” symmetry properties, is almost unavoidable. However, other types of symmetry, such as those present in friezes, could allow us to analyze binary sequences
Jean-Marc Girault, Sébastien Ménigot
doaj   +1 more source

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