Yuri N. Klimov. Dependence of lengths of words on frequency of words and quantities of lengths of words in S. A. Esenin's "pugachev" poem
Literature / Internet articles / Analysis of literature
Submitted on: Feb 23, 2013, 00:50:16
Description: The Total of words in S. A. Esenin's "Pugachev" poem [1] is made 2492, and with frequency of a word - 4848 by a technique [2]. Dependences of lengths of words, since the greatest size, from frequency of words, quantity of lengths of words, the logarithm of frequency of a word, the logarithm of quantity of lengths of words, cumulative frequency of a word, cumulative quantity of lengths of words, the logarithm of cumulative frequency of words, the logarithm of cumulative quantity of lengths of words, the logarithm of length of words from the logarithm of frequency of words, the logarithm of length of words from the logarithm of quantity of lengths of words, the logarithm of length of words from the logarithm of cumulative frequency of words and the logarithm of length of words from the logarithm of cumulative quantity of lengths of words are investigated. For reception of adequate mathematical dependences experimental data resulted to cumulate and represented as logarithms. 50% of quantityof lengths of words equally 1246 at length of a word ~ 6 letters, and 50% of frequency of words - 2424 at length of a word ~ 5 letters. It is shown, that the length of a word is directly proportional to the logarithm of length of a word and inversely proportional to its frequency, cumulative frequency of a word, cumulative quantity of lengths of words and logarithms: frequencies of words, to cumulative quantity of lengths of words and cumulative frequency of words. The specified dependences investigated on the linear, sedate, logarithmic equations and polynoms of the second and third degrees. Relative speed in sedate dependence for the given dependences can be positive or negative and serves for an estimation of the concrete text. Logarithms of frequency of words are increased with reduction of length of words from 0 up to 6,1738, the logarithm of quantity of lengths of words - from 0 up to 2,8904, the logarithm of cumulative frequency - from 0 up to 8,4863 and the logarithm of cum...