Journal of Physical Studies 17(1), Article 1001 [8 pages] (2013)
DOI: https://doi.org/10.30970/jps.17.1001

ABOUT "EXOTIC" PROBLEMS OF PHYSICS, WINNIE THE POOH AND ZIPF'S LAW

A. N. Vasilev1, A. V. Chalyi1,2, I. V. Vasileva1

1Taras Shevchenko National University of Kyiv, Faculty of Physics,
60, Volodymyrska St., Kyiv, UA--01601, Ukraine
2O. O. Bogomolets National Medical University,
13, Shevchenko Blvd, Kyiv, UA--01601, Ukraine
e-mail: vasilev@univ.kiev.ua

The paper is devoted to the solution by physical methods of ‟nonphysical” problems in the area of quantitative linguistics. Attention is paid to the calculation of statistical properties of texts. We identify functional relations between different statistical characteristics and verify the laws of distribution. To do these empirical calculations we use Ukrainian language text of the tale about Winnie the Pooh. We receive a statistical dependence of the word frequency in text on its rank in frequency dictionary (Zipf's law, or rank distribution), and find a dependence of word number on their frequency (Haitun-Tuldava's law, or spectral distribution). Also we calculate the distribution of sentences by length in the text. Lastly, we analyze models which explain regression relations between quantitative characteristics of the text.

PACS number(s): 02.30.Hq, 89.75.Da, 89.90.+n

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