{"id":7012,"date":"2021-06-09T10:41:31","date_gmt":"2021-06-09T07:41:31","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=7012"},"modified":"2021-08-04T13:43:11","modified_gmt":"2021-08-04T10:43:11","slug":"%d1%84%d1%80%d0%b0%d0%ba%d1%82%d0%b0%d0%bb%d1%8c%d0%bd%d0%b8%d0%b9-%d0%b0%d0%bd%d0%b0%d0%bb%d1%96%d0%b7-%d0%bc%d0%be%d0%b4%d0%b5%d0%bb%d0%b5%d0%b9-%d1%82%d0%b5%d0%ba%d1%81%d1%82%d1%96%d0%b2-%d1%80","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=7012","title":{"rendered":"\u0424\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0442\u0435\u043a\u0441\u0442\u0456\u0432 \u0440\u0456\u0437\u043d\u0438\u0445 \u0441\u0442\u0438\u043b\u0456\u0432, \u043f\u043e\u0434\u0430\u043d\u0438\u0445 \u0446\u0456\u043b\u043e\u0447\u0438\u0441\u0435\u043b\u044c\u043d\u0438\u043c\u0438 \u0435\u043a\u0432\u0456\u0434\u0438\u0441\u0442\u0430\u043d\u0442\u043d\u0438\u043c\u0438 \u043f\u043e\u0441\u043b\u0456\u0434\u043e\u0432\u043d\u043e\u0441\u0442\u044f\u043c\u0438 \u043a\u0456\u043b\u044c\u043a\u043e\u0441\u0442\u0456 \u043b\u0456\u0442\u0435\u0440 \u0443 \u0441\u043b\u043e\u0432\u0430\u0445"},"content":{"rendered":"


\n\u0424\u0420\u0410\u041a\u0422\u0410\u041b\u042c\u041d\u0418\u0419 \u0410\u041d\u0410\u041b\u0406\u0417 \u041c\u041e\u0414\u0415\u041b\u0415\u0419 \u0422\u0415\u041a\u0421\u0422\u0406\u0412 \u0420\u0406\u0417\u041d\u0418\u0425 \u0421\u0422\u0418\u041b\u0406\u0412, \u041f\u041e\u0414\u0410\u041d\u0418\u0425 \u0426\u0406\u041b\u041e\u0427\u0418\u0421\u0415\u041b\u042c\u041d\u0418\u041c\u0418 \u0415\u041a\u0412\u0406\u0414\u0418\u0421\u0422\u0410\u041d\u0422\u041d\u0418\u041c\u0418 \u041f\u041e\u0421\u041b\u0406\u0414\u041e\u0412\u041d\u041e\u0421\u0422\u042f\u041c\u0418 \u041a\u0406\u041b\u042c\u041a\u041e\u0421\u0422\u0406 \u041b\u0406\u0422\u0415\u0420 \u0423 \u0421\u041b\u041e\u0412\u0410\u0425
\nFRACTAL ANALYSIS OF MODELS OF TEXTS OF DIFFERENT STYLES SUBMITTED INTEGER EQUIDISTANT SEQUENCES NUMBER OF LETTERS IN WORDS<\/p>\n

\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 26-34. \u041d\u043e\u043c\u0435\u0440: \u21162, 2021 (295)<\/strong> \"\"<\/a>
\n\u0410\u0432\u0442\u043e\u0440\u0438<\/strong>:
\n\u0420\u041e\u041c\u0410\u041d \u041a\u0410\u041c\u0406\u041d\u0421\u042c\u041a\u0418\u0419, \u041d\u0410\u0422\u0410\u041b\u0406\u042f \u0428\u0410\u0425\u041e\u0412\u0421\u042c\u041a\u0410, \u0411\u041e\u0413\u0414\u0410\u041d \u0425\u0423\u0414\u041e\u0411\u0410
\n\u041d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u00ab\u041b\u044c\u0432\u0456\u0432\u0441\u044c\u043a\u0430 \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u043a\u0430\u00bb
\nROMA KAMINSKYY, NATALIYA SHAKHOVSKA, BOHDAN KHUDOBA
\nLviv Polytechnic National University
\nDOI:<\/strong> https:\/\/www.doi.org\/10.31891\/2307-5732-2021-295-2-26-34<\/a>
\n\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 04.03.2021 \u0440.
\n\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 02.06.2021 \u0440.<\/p>\n

\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n

\u0412 \u0434\u0430\u043d\u0456\u0439 \u0440\u043e\u0431\u043e\u0442\u0456 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u0456 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438 \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0430\u043d\u0430\u043b\u0456\u0437\u0443 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0442\u0435\u043a\u0441\u0442\u0456\u0432 \u0440\u0456\u0437\u043d\u0438\u0445 \u0441\u0442\u0438\u043b\u0456\u0432. \u0412 \u044f\u043a\u043e\u0441\u0442\u0456 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043e \u0446\u0456\u043b\u043e\u0447\u0438\u0441\u0435\u043b\u044c\u043d\u0456 \u0447\u0438\u0441\u043b\u043e\u0432\u0456 \u043f\u043e\u0441\u043b\u0456\u0434\u043e\u0432\u043d\u043e\u0441\u0442\u0456, \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u043c\u0438 \u044f\u043a\u0438\u0445 \u0454 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u043b\u0456\u0442\u0435\u0440 \u0443 \u0441\u043b\u043e\u0432\u0430\u0445 \u0442\u0435\u043a\u0441\u0442\u0443. \u041d\u0430\u0432\u0435\u0434\u0435\u043d\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0457 \u0440\u043e\u0437\u043c\u0456\u0440\u043d\u043e\u0441\u0442\u0456, \u044f\u043a\u0438\u0439 \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0438\u0432 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u043e\u0447\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u043e\u043a\u0430\u0437\u043d\u0438\u043a\u0430 \u0413\u0435\u0440\u0441\u0442\u0430. \u041a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0432\u043e\u0457 \u0437\u0430\u043b\u0435\u0436\u043d\u043e\u0441\u0442\u0456 R\/S. \u041e\u0442\u0440\u0438\u043c\u0430\u043d\u0456 \u043f\u043e\u043a\u0430\u0437\u043d\u0438\u043a\u0438 \u0432 \u0430\u0441\u043f\u0435\u043a\u0442\u0456 \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u0456 \u043f\u043e\u0432\u043d\u0456\u0441\u0442\u044e \u043e\u043f\u0438\u0441\u0443\u044e\u0442\u044c \u043e\u0431\u02bc\u0454\u043a\u0442\u0438 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u044f.
\n\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0442\u0435\u043a\u0441\u0442\u0443, \u0446\u0456\u043b\u043e\u0447\u0438\u0441\u0435\u043b\u044c\u043d\u0456 \u0434\u0430\u043d\u0456, \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u0430 \u0440\u043e\u0437\u043c\u0456\u0440\u043d\u0456\u0441\u0442\u044c, \u043a\u043b\u0456\u0442\u0438\u043d\u043a\u043e\u0432\u0438\u0439 \u043c\u0435\u0442\u043e\u0434, \u043f\u043e\u043a\u0430\u0437\u043d\u0438\u043a \u0413\u0435\u0440\u0441\u0442\u0430, \u043a\u043e\u043d\u0441\u0442\u0430\u043d\u0442\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0432\u043e\u0457 \u0444\u0443\u043d\u043a\u0446\u0456\u0457.<\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

This paper presents the results of fractal analysis of models of texts of different styles. Integer numerical sequences, the elements of which are the number of letters in the words of the text, are used as models. An algorithm for calculating the exact value of the fractal dimension is presented, which provided the determination of the exact value of the Hirst index. In addition, the value of the power dependence constant R \/ S is calculated. The obtained indicators in the aspect of fractality fully describe the objects of research. This method is in fact a logical implementation of the known procedures of fractal analysis and its advantage is that it provides a rigorous mathematical representation of the values of the fractal dimension, the Hirst index and the constant in relation to the indicators of variation. The essence of his presentation is, first of all, as a warning to researchers against misinterpretation of the relationship R \/ S, because many researchers ignore the existence of a constant for this relationship. Indeed, this relation is a function with two unknown parameters and cannot be directly determined. With regard to the fractal dimension, we can point out that the least important is the conversational style, and the most – poetic. In other words, the model of colloquial text is the smallest part of its environment, poetic – the largest. From the point of view of Hirst’s index, the model of the spoken text contains a trend, while the model of the poem has a character closer to the random one. The largest scope of the cumulative series has a model of spoken text, and the smallest – a model of artistic style of the text. Since the cumulative series is a sequential (cumulative) summation of the sequence of deviations of elements from its arithmetic mean, its scope will depend on the presence of groups of elements of the sequence with very large deviations. Artistic style has the least significance of scope.
\nKeywords:<\/strong> text modeling, integer data, fractal dimension, cellular method, Hirst index, power function constant.<\/p>\n

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