A comparative dynamical analysis of Hebrew texts
Three Hebrew texts, one of them the Hebrew bible, are investigated using dynamical analysis. First, the average mutual information for each of the texts is determined. The first minimum occurs at T=3 in all three cases, suggesting that 3-letter words are sufficient to study the dynamical properties...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022600000273 |
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| _version_ | 1849473408141623296 |
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| author | Abraham Boyarsky Pawel Góra |
| author_facet | Abraham Boyarsky Pawel Góra |
| author_sort | Abraham Boyarsky |
| collection | DOAJ |
| description | Three Hebrew texts, one of them the Hebrew bible, are investigated using dynamical analysis. First, the average mutual information for each of the texts is determined. The first minimum occurs at T=3 in all three cases, suggesting that 3-letter words are sufficient to study the dynamical properties of the texts. Using 3-letter words as the state space for each of the text, we construct a Markov chain model and compute the relative measure–theoretic entropy for each of the texts and use this tool as a means of comparing the information content of the three texts. |
| format | Article |
| id | doaj-art-d2609b8a688047c7afe0a585d60fb6b5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d2609b8a688047c7afe0a585d60fb6b52025-08-20T03:24:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-014429329510.1155/S1026022600000273A comparative dynamical analysis of Hebrew textsAbraham Boyarsky0Pawel Góra1Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal H4B 1R6, Quebec, CanadaDepartment of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal H4B 1R6, Quebec, CanadaThree Hebrew texts, one of them the Hebrew bible, are investigated using dynamical analysis. First, the average mutual information for each of the texts is determined. The first minimum occurs at T=3 in all three cases, suggesting that 3-letter words are sufficient to study the dynamical properties of the texts. Using 3-letter words as the state space for each of the text, we construct a Markov chain model and compute the relative measure–theoretic entropy for each of the texts and use this tool as a means of comparing the information content of the three texts.http://dx.doi.org/10.1155/S1026022600000273Text analysisMarkov chainsEntropyDynamical systemsMutual information. |
| spellingShingle | Abraham Boyarsky Pawel Góra A comparative dynamical analysis of Hebrew texts Discrete Dynamics in Nature and Society Text analysis Markov chains Entropy Dynamical systems Mutual information. |
| title | A comparative dynamical analysis of Hebrew texts |
| title_full | A comparative dynamical analysis of Hebrew texts |
| title_fullStr | A comparative dynamical analysis of Hebrew texts |
| title_full_unstemmed | A comparative dynamical analysis of Hebrew texts |
| title_short | A comparative dynamical analysis of Hebrew texts |
| title_sort | comparative dynamical analysis of hebrew texts |
| topic | Text analysis Markov chains Entropy Dynamical systems Mutual information. |
| url | http://dx.doi.org/10.1155/S1026022600000273 |
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