Yuri N. Klimov. Dependence of lengths of words on frequency and quantity of words in A.p. Chehov's stories "dama s sobachkoy"(" Lady with dog")
Literature / Internet articles / Analysis of literature
Submitted on: Dec 01, 2012, 00:18:04
Description: In A.P. Chehov's stories "Dama s sobachkoy" (" Lady with dog") [1] makes total of words 2134, and their frequency - 5152 by a technique [2]. Quantities of words, logarithms of lengths of words from the logarithm of frequency, the logarithm of length of words from the logarithm cumulative frequencies, the logarithm of length of words from the logarithm of quantity of words and the logarithm of length of words from the logarithm of cumulative quantity of words are investigated dependence of length of words, since the greatest size, from frequency. For reception of adequate mathematical dependences experimental data resulted to cumulate and represented as logarithms. 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, quantity of words, cumulative quantity of words and logarithms: frequencies of words, cumulative quantity 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 are increased with reduction of length of words from 0 up to 6,5568, the logarithm of quantity of words - from 0 up to 2,8332, the logarithm of cumulative frequency - from 0 up to 8,5471 and the logarithm of cumulative quantity of words - from 0 up to 7,6658. Thus the logarithm of length of words falls from 2,7726 up to 0. 50 % of quantity of words (1057) falls to length of a word in 7 letters, and 50 % of frequency of words (2576) - for length of a word in 5 letters. Keywords: quantity of words, frequency of words, length of words, dynamics of quantity of words, dynamics of length of words, average length of words, cumulative quantity of words, cumulative frequency of words, modeling, linear dependen...