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Entropy 2017, 19(10), 521;

Evaluating the Irregularity of Natural Languages

Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ciudad de México 07738, Mexico
Unidad Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Ciudad de México 07340, Mexico
Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Ciudad de México 04510, Mexico
Author to whom correspondence should be addressed.
Received: 9 August 2017 / Revised: 23 September 2017 / Accepted: 25 September 2017 / Published: 29 September 2017
(This article belongs to the Section Complexity)
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In the present work, we quantify the irregularity of different European languages belonging to four linguistic families (Romance, Germanic, Uralic and Slavic) and an artificial language (Esperanto). We modified a well-known method to calculate the approximate and sample entropy of written texts. We find differences in the degree of irregularity between the families and our method, which is based on the search of regularities in a sequence of symbols, and consistently distinguishes between natural and synthetic randomized texts. Moreover, we extended our study to the case where multiple scales are accounted for, such as the multiscale entropy analysis. Our results revealed that real texts have non-trivial structure compared to the ones obtained from randomization procedures. View Full-Text
Keywords: approximate entropy of texts; sample entropy; text irregularity; symbol sequences approximate entropy of texts; sample entropy; text irregularity; symbol sequences

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Hernández-Gómez, C.; Basurto-Flores, R.; Obregón-Quintana, B.; Guzmán-Vargas, L. Evaluating the Irregularity of Natural Languages. Entropy 2017, 19, 521.

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