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The Parameters of the Menzerath-Altmann Law in Genomes
2013
Journal of Quantitative Linguistics
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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
2014
Statistical Applications in Genetics and Molecular Biology
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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
2012
Biosystems (Amsterdam. Print)
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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
2012
Complexity
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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
2022
International Journal of Molecular Sciences
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This article examines the presence of the empirical tendency known as the Menzerath–Altmann 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?
2021
PLoS ONE
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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
2021
Entropy
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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
2016
Journal of Quantitative Linguistics
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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
2015
BMC Systems Biology
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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
2010
Complexity
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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
2021
Frontiers in Microbiology
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, 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
2020
Biology Letters
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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
2021
Life
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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
2015
SKY Journal of Linguistics
unpublished
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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
2015
PLoS ONE
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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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