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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

Menzerath–Altmann Law: Statistical Mechanical Interpretation as Applied to a Linguistic Organization

Sertac Eroglu
2014 Journal of statistical physics  
The distribution behavior dictated by the Menzerath-Altmann (MA) law is frequently encountered in linguistic and natural organizations at various structural levels.  ...  With this derivation, we achieve a transformed (generalized) form of the MA model, termed the statistical mechanical Menzerath-Altmann (SMMA) model.  ...  Algin for helpful discussions and we appreciate the careful proofreading of the manuscript by H. Kreuzer.  ... 
doi:10.1007/s10955-014-1078-8 fatcat:r4ng4n2lwncs3fefubwfv2cgui

Testing the Menzerath-Altmann Law in the Sentence Level of Written Chinese

Heng Chen
2018 OALib  
In this paper, Menzerath-Altmann law is used to make out the basic language units in written Chinese in the sentence level.  ...  Language unit is a fundamental conception in modern linguistics, but the boundaries are not clear between language levels.  ...  Acknowledgements This work is supported by the Education Department of Guangdong Province Conflicts of Interest The author declares no conflicts of interest regarding the publication of this paper.  ... 
doi:10.4236/oalib.1104747 fatcat:nvtprndub5f4nj4acejijtv324

Frequency Distribution Fitting for Electronic Documents

Arockia David Roy Kulandai, Marquette University, Milwaukee, Wisconsin, U.S.A., St. Xavier's College (Autonomous), Ahmedabad, Gujarat, India
2021 International Journal of Applied Sciences and Smart Technologies  
Using electronic documents, we show that some of these distributions cannot be used to model the frequency of bytes in electronic documents even if these documents represent natural language documents.  ...  Studies of frequency distributions of natural language elements have identified some distributions that offer a good fit.  ...  Similarly, the parameters for Menzerath-Altmann are nicely clustered for text but lie on a onedimensional curve for the raw corpus.  ... 
doi:10.24071/ijasst.v3i1.2854 fatcat:udka4yk5vjeb5e2bmbptszgjoe

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

Units and Constituency in Prosodic Analysis: A Quantitative Assessment

Andrew Wilson
2016 Journal of Quantitative Linguistics  
However, out of sixteen texts from the Aix-MARSEC database, only six share a common probability distribution and only eight exhibit a tolerable fit of the Menzerath-Altmann equation.  ...  between feet and intonation units should be further demonstrable by successfully fitting the Menzerath-Altmann equation with a negative exponent.  ...  The data used in this study is part of the Aix-MARSEC database, version 2, courtesy of the Speech & Language Data Repository (SLDR), http://sldr.org, identifier: sldr000033.  ... 
doi:10.1080/09296174.2016.1260275 fatcat:rvwppajxejhwvhvhc2n4rk3a4q

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  ...  • Menzerath-Altmann law with b = −1 and c = 0 is equivalent to 119 independence between G and L g .  ...  other models within the same121 class are equivalent to Menzerath-Altmann law with b = L g and L c of the random breakage model with uniformly 125 distributed G and L g (Solé, 2010).  ... 
doi:10.1016/j.biosystems.2011.11.010 pmid:22197514 fatcat:ypxod4uvbvgtzhgp4aty7xiiga

Explain the law: When the evidence is not enough

Martina Benešová, Dan Faltýnek, Lukáš Hadwiger Zámečník
2021 Linguistic Frontiers  
The article responds to the current variability of research into linguistic laws and the explanation of these laws.  ...  We show basic features to approach linguistic laws in the field of quantitative linguistics and research on linguistic laws outside the field of language and text.  ...  ACKNOWLEDGEMENTS The work was supported from Technology Agency of the Czech Republic, Project: Interactive technical books-Redefinition of electronic publishing in the field of non--fiction TL02000530.  ... 
doi:10.2478/lf-2021-0016 fatcat:lw36nhjo7rewnhmmzlsavzs5xe

Statistical Laws in Linguistics [chapter]

Eduardo G. Altmann, Martin Gerlach
2016 Lecture Notes in Morphogenesis  
of the law.  ...  The large fluctuations we report show that the constraints imposed by linguistic laws on the creativity process of text generation are not as tight as one could expect.  ...  Menzerath-Altmann law The Menzerath-Altmann law received considerable attention after the works of Gabriel Altmann [4] [5] [6] 16 ].  ... 
doi:10.1007/978-3-319-24403-7_2 fatcat:tqldwldtrjd7zekcnawr5rlhoq

The Relationship of Word Length and Sentence Length: The Inter-Textual Perspective [chapter]

Peter Grzybek, Ernst Stadlober, Emmerich Kelih
2007 Studies in Classification, Data Analysis, and Knowledge Organization  
The dependence of WL and SL is discussed in terms of general system theory and synergetics; the results achieved thus are relevant not only for linguistic studies of text classification, but for the study  ...  of other complex systems, as well.  ...  In quantitative and synergetic linguistics, the relations between linguistic units of different levels usually are treated in the framework of the Menzerath-Altmann law.  ... 
doi:10.1007/978-3-540-70981-7_70 fatcat:5ivrzf35q5dhpm7sqtpyafljji

The Menzerath–Altmann Law: Experimenting with Tatar Texts
ЗАКОН МЕНЗЕРАТА – АЛЬТМАННА: ЭКСПЕРИМЕНТЫ С ТЕКСТАМИ НА ТАТАРСКОМ ЯЗЫКЕ

A.M. Galieva, Kazan Federal University, Kazan, 420008 Russia
2021 Učënye Zapiski Kazanskogo Universiteta: Seriâ Gumanitarnye Nauki  
The MenzerathAltmann law on the relationship between the length of linguistic units and the length of their components is one of the important laws of quantitative linguistics.  ...  The validity of the MenzerathAltmann law has been confirmed in a number of works on languages with different morphological structures.  ...  The work is performed according to the Russian Government Program of Competitive Growth of Kazan Federal University.  ... 
doi:10.26907/2541-7738.2021.1.180-189 fatcat:yjkee2pt45g7xix23l4bd5iswe

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  
the recurrence of that statistical law.  ...  The importance of statistical patterns of language has been debated over decades. Although Zipf's law is perhaps the most popular case, recently, Menzerath's law has begun to be involved.  ...  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

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

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.  ...  The presence of MAL is examined on a non-redundant dataset of 4728 proteins by verifying significant, negative correlations and testing classical and newly proposed formulas by fitting the observed trend  ...  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

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
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