Methodological Note on the Fractal Analysis of Texts*

Andres, Jan; Benešová, Martina; Kubáček, Lubomı́r; Vrbková, Jana

doi:10.1080/09296174.2011.608604

Cited by 16 publications

(8 citation statements)

References 6 publications

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“…The data shown in Table 1 5 was processed in mathematical and statistical ways, as demonstrated e.g. in Andres et al (2012). We gained the parameters of the MAL; A=11.9311 and b=0.2235 6 , for more information on MAL parameters cf.…”

Section: Resultsmentioning

confidence: 99%

Menzerath-Altmann law versus random model

Benešová¹,

Čech²

2015

Sequences in Language and Text

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Section: Resultsmentioning

confidence: 99%

Menzerath-Altmann law versus random model

Benešová¹,

Čech²

2015

Sequences in Language and Text

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“…Second, the full version of the Menzerath-Altmann equation was fitted to the data from each text. This was undertaken using the nls function within the R environment for statistical computing (Ihaka & Gentleman, 1996) and the R code provided by Andres et al (2012). Goodness of fit was established using the determination coefficient R 2 , which is given by: R 2 = 1 -( sum((obs-pred) 2 ) / sum((obs-mean(obs)) 2 ) )…”

Section: Methodsmentioning

confidence: 99%

Units and Constituency in Prosodic Analysis: A Quantitative Assessment

Wilson

2016

Journal of Quantitative Linguistics

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Drawing on methods from quantitative linguistics, this paper tests the hypothesis that the intonation unit is a valid language construct whose immediate constituent is the foot (and whose own immediate constituent is the syllable). If the hypothesis is true, then the lengths of intonation units, measured in feet, should abide by a regular and parsimonious discrete probability distribution, and the immediate constituency relationship between feet and intonation units should be further demonstrable by successfully fitting the Menzerath-Altmann equation with a negative exponent. 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. A failure rate of ≥ 50% in both cases casts doubt on the validity of the hypothesis.

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“…Because fractal presence and attributes have been observed and discovered in any natural language as reported in [10], we employ this methodological approach for analyzing the VM in a similar way as reported in pioneer work [9] by L. Hrebicek, then in [17], [27], [5], [2].…”

Section: Fractal Geometry and The Textmentioning

confidence: 99%

“…Using this methodology, we analyze the VM alongside the Ernst Hemingway book The Old Man and the Sea, and the Bible. We then describe the fractal properties of language and the complex networks of topology, including visualizations of the VM, the Bible, and The Old Man and the Sea, translated into 120 languages 1,2 . The aim of this workflow is to investigate how much VM differs from the books written in natural language.…”

Section: Introductionmentioning

confidence: 99%

Unconventional Methods in Voynich Manuscript Analysis

Zelinka¹,

Zmeškal

Windsor

et al. 2019

mendel

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This paper discusses the possible use of unconventional algorithms on analysis and categorization of the unknown text, including documents written in unknown languages. Scholars have identied about ten famous manuscripts, mostly encrypted or written in the unknown language. The most famous is the Voynich manuscript, an illustrated codex hand-written in an unknown language or writing system. Using carbon-dating methods, the researchers determined its age as the early 15th century (between 1404-1438). Many professional and amateur cryptographers have studied the Voynich manuscript, and none has deciphered its meaning as yet, including American and British code-breakers and cryptologists. While there exist many hypotheses about the meaning and structure of the document, they have yet to be conrmed empirically. In this paper, we discuss two dierent kinds of unconventional approaches for how to handle manuscripts with unidentied writing systems and determine whether its properties are characterized by a natural language, or is only historical fake text.

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Methodological Note on the Fractal Analysis of Texts*

Cited by 16 publications

References 6 publications

Menzerath-Altmann law versus random model

Menzerath-Altmann law versus random model

Units and Constituency in Prosodic Analysis: A Quantitative Assessment

Unconventional Methods in Voynich Manuscript Analysis

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