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The Parameters of the Menzerath-Altmann Law in Genomes

Jaume Baixeries, Antoni Hernández-Fernández, Núria Forns, Ramon Ferrer-i-Cancho
2013 Journal of Quantitative Linguistics  
The parameters of Menzerath-Altmann law in genomes deviate significantly from a power law with a -1 exponent with the exception of birds and cartilaginous fishes.  ...  The relationship between the size of the whole and the size of the parts in language and music is known to follow Menzerath-Altmann law at many levels of description (morphemes, words, sentences...).  ...  Altmann and the late P. Menzerath. We thank G. Altmann for his clarifications and J. Perarnau for technical advice on the statistical analyses.  ... 
doi:10.1080/09296174.2013.773141 fatcat:75dr4ylmkfdfno6ksv2f5dzysu

When is Menzerath-Altmann law mathematically trivial? A new approach

Ramon Ferrer-i-Cancho, Antoni Hernández-Fernández, Jaume Baixeries, Łukasz Dębowski, Ján Mačutek
2014 Statistical Applications in Genetics and Molecular Biology  
AbstractMenzerath's law, the tendency of  ...  the Spanish Ministry of Science and Innovation and the grant 2/0038/12 from the VEGA funding agency (JM).  ...  Acknowledgements This article has benefited enormously from the comments of anonymous reviewers. We are grateful to P. Delicado, R. Gavaldà and E. Pons for their valuable mathematical insights.  ... 
doi:10.1515/sagmb-2013-0034 pmid:25503672 fatcat:w7pn42txabdefmulnemndd54ua

Random models of Menzerath–Altmann law in genomes

Jaume Baixeries, Antoni Hernández-Fernández, Ramon Ferrer-i-Cancho
2012 Biosystems (Amsterdam. Print)  
Acknowledgements 525 This article is dedicated to the memory of A. Hernández Carpio. 526 We are grateful to N. Forns for a careful review and D. Menacho  ...  selected for distributions A and B in 297 the random breakage model used to explain correlations consistent 298 with Menzerath-Altmann law in genomes (Solé, 2010).  ...  Please cite this article in press as: Baixeries, J., et al., Random models of Menzerath-Altmann law in genomes. BioSystems (2011), doi:10.1016/j.biosystems.2011.11.010  ... 
doi:10.1016/j.biosystems.2011.11.010 pmid:22197514 fatcat:ypxod4uvbvgtzhgp4aty7xiiga

The challenges of statistical patterns of language: The case of Menzerath's law in genomes

Ramon Ferrer-I-Cancho, Núria Forns, Antoni Hernández-Fernández, Gemma Bel-enguix, Jaume Baixeries
2012 Complexity  
Menzerath's law manifests in language, music and genomes as a tendency of the mean size of the parts to decrease as the number of parts increases in many situations.  ...  It has been argued that the instantiation of this law in genomes is not indicative of any parallel between language and genomes because (a) the law is inevitable and (b) non-coding DNA dominates genomes  ...  This work was supported by the grant Iniciació i reincorporació a la recerca from the Universitat Politècnica de Catalunya and the grant BASMATI (TIN2011-27479-C04-03) from the Spanish Ministry of Science  ... 
doi:10.1002/cplx.21429 fatcat:mgc5u4sea5eabkq52ktlyk3uge

Secondary Structures of Proteins Follow Menzerath–Altmann Law

Vladimír Matlach, Daniel Dostál, Marian Novotný
2022 International Journal of Molecular Sciences  
This article examines the presence of the empirical tendency known as the MenzerathAltmann Law (MAL) on protein secondary structures.  ...  We conclude that the lengths of secondary structures are specifically dependent on their number inside the protein sequence, while possibly reflecting the formula proposed in this paper.  ...  Acknowledgments: We would like to thank reviewers for the useful comments. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/ijms23031569 pmid:35163493 pmcid:PMC8836146 fatcat:y5edgc6puba3tn4pb4vzyia3d4

Can Menzerath's law be a criterion of complexity in communication?

Iván G. Torre, Łukasz Dębowski, Antoni Hernández-Fernández, Diego Raphael Amancio
2021 PLoS ONE  
In contrast, Menzerath-Altmann's law (MAL) is a precise mathematical power-law-exponential formula which expresses the expected length of the linguistic construct conditioned on the number of its constituents  ...  Menzerath-Altmann's law.  ...  Acknowledgments We want to dedicate this work to the memory of Professor Gabriel Altmann who humbly always encouraged us to investigate "Menzerath's law". Sit tibi terra levis, Professor Altmann.  ... 
doi:10.1371/journal.pone.0256133 pmid:34415939 pmcid:PMC8378695 fatcat:nitpmxrrqjeqnaava54ur56luy

Menzerath's Law in the Syntax of Languages Compared with Random Sentences

Kumiko Tanaka-Ishii
2021 Entropy  
The Menzerath law is considered to show an aspect of the complexity underlying natural language.  ...  This law suggests that, for a linguistic unit, the size (y) of a linguistic construct decreases as the number (x) of constructs in the unit increases.  ...  Menzerath-Altmann law for Czech sentences.  ... 
doi:10.3390/e23060661 pmid:34070370 fatcat:x3nk32xopvfb3lzlsmof3i6iby

The Infochemical Core

Antoni Hernández-Fernández, Ramon Ferrer-i-Cancho
2016 Journal of Quantitative Linguistics  
The quality of the fit of different functions to the dependency between degree and rank is evaluated with a penalty for the number of parameters of the function.  ...  This suggests that the world wide repertoire of infochemicals contains a chemical nucleus shared by many species and reminiscent of the core vocabularies found for human language in dictionaries or large  ...  A non-trivial version of Menzerath's law, i.e. the tendency of the size of the parts of a linguistic construct to decrease as its number of parts increases (Menzerath, 1954; Altmann, 1980) , is found  ... 
doi:10.1080/09296174.2016.1142323 fatcat:vjjtseu2frdgjpmfpna2iuyvmq

The organization of domains in proteins obeys Menzerath-Altmann's law of language

Khuram Shahzad, Jay E. Mittenthal, Gustavo Caetano-Anollés
2015 BMC Systems Biology  
Results: We find that domain length decreases with increasing number of domains in proteins, following the Menzerath-Altmann (MA) law of language.  ...  Mathematically, the MA law expresses as a power law relationship that unfolds when molecular persistence P is a function of domain accretion.  ...  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the funding agencies.  ... 
doi:10.1186/s12918-015-0192-9 pmid:26260760 pmcid:PMC4531524 fatcat:s27bves2efhm5hv5rb6u6ocwhe

Genome size, self-organization and DNA's dark matter

Ricard V. Solé
2010 Complexity  
However, the vast dominance of non-coding DNA in eukaryotic genomes should prevent an interpretation of genome/chromosome size based on functional trade-offs related to information storage and transmission  ...  Moreover, the reported negative correlation is shown to be an inevitable consequence of the definitions of chromosome and genome length and it is thus unrelated to any type of special generative process  ...  This work has been supported by the James McDonnell Foundation and the Santa Fe Institute. The author also thank the European  ... 
doi:10.1002/cplx.20326 fatcat:e7xz2n3horfclhhh7eawvbhuzu

The Compressed Vocabulary of Microbial Life

Gustavo Caetano-Anollés
2021 Frontiers in Microbiology  
, the Heaps' law describing sublinear growth typical of economies of scales, and the Menzerath–Altmann's law, which imposes size-dependent patterns of decreasing returns.  ...  Here, I explore the existence of a growing vocabulary in the molecules and molecular functions of the microbial world.  ...  (C) The Menzerath-Altmann (MA) law of language in the structural domains of an archaeal proteome.  ... 
doi:10.3389/fmicb.2021.655990 fatcat:7ygbk5uixfdgjjlyam4trxcxju

An exploration of Menzerath's law in wild mountain gorilla vocal sequences

Stuart K. Watson, Raphaela Heesen, Daniela Hedwig, Martha M. Robbins, Simon W. Townsend
2020 Biology Letters  
with Menzerath's law, a negative relationship existed between the number of vocal units in a sequence and the duration of its constituent units.  ...  The close-call sequences of mountain gorillas therefore represent an intriguing example of a non-human vocal system that only partially conforms to the predictions of Menzerath's law.  ...  We thank the Uganda Wildlife Authority and the Uganda National Council for Science and Technology for permission to conduct our research in Bwindi Impenetrable National Park.  ... 
doi:10.1098/rsbl.2020.0380 pmid:33050832 fatcat:4ztdymukfndlfic4mxuc6s7eli

Menzerath–Altmann's Law of Syntax in RNA Accretion History

Fengjie Sun, Gustavo Caetano-Anollés
2021 Life  
We show this principle follows a tendency of substructural parts to decrease their size when molecular systems enlarge that follows the Menzerath–Altmann's law of language in full generality and without  ...  A similar negative correlation was detected in unpaired segments of rRNA but not for the other molecules studied. These results suggest a principle of diminishing returns in RNA accretion history.  ...  More recently, the law was extended to genomes [56] [57] [58] and the organization of protein structural domains in proteomes [39] , showing that the principle behind the MA law is general and not restricted  ... 
doi:10.3390/life11060489 pmid:34071925 fatcat:dpdmmzp43jei7b74jqicamqedm

The Menzerath-Altmann Law in a Cross-Linguistic Context

Federico Cápula, Valeria Dowding, Helen Eaton, John Esling, Sameer Kahn, Kevin Schäfer, Justin Watkins
2015 SKY Journal of Linguistics   unpublished
This paper attempts to contrast two alternative formulae for the Menzerath-Altmann law, using data from two linguistic measures (words per clause and phonemes per word) for the same text translated into  ...  None of these significantly alter the basic results, which show a slight preference for the power function over the hyperbolic one.  ...  Application of the alternative formulae for the Menzerath-Altmann law In order to test the relative performance of Equations (1) and (2) for the Menzerath-Altmann law, we will run regressions using  ... 
fatcat:4p75exxf7zg2zjxvftxuy727ru

The Fractal Patterns of Words in a Text: A Method for Automatic Keyword Extraction

Elham Najafi, Amir H. Darooneh, Francisco J. Esteban
2015 PLoS ONE  
Altmann made a formula for quantifying of the Menzerath's law [5] . Menzerath-Altmann law says there is a relation between size of a construct and size of its constituents.  ...  This index measures the difference between the fractal pattern of a word in the original text relative to a shuffled version.  ...  Acknowledgments We acknowledge valuable comments from referees which substantially improved the paper. Author Contributions  ... 
doi:10.1371/journal.pone.0130617 pmid:26091207 pmcid:PMC4474631 fatcat:l6t65pvxcrgjfjhghinegxggra
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