Yuri N. Klimov. Dependence of lengths of words on frequency and quantity of words in I. Brodskiy's poems: "goncharov and Gorchakov " and "the Petersburg novel"

Literature / Internet articles / Analysis of literature

Submitted on: Dec 23, 2012, 02:18:59

Description: The total of words in I. Brodskiy's poems "Goncharov and Gorchakov" and "The Petersburg novel" [1] is made together 4697, and with frequency-10003 by a technique [2]. Frequencies of words, cumulative frequency of words, cumulative quantity of lengths of words, the logarithm of frequency of words from the logarithm of length of words, the logarithm of quantity of lengths of words from the logarithm of length of words and the logarithm of cumulative frequency of words and the logarithm of cumulative quantity of lengths of words from the logarithm of length of words are investigated dependence of length of words, since the greatest size, from quantity of lengths of words. For reception of adequate mathematical dependences experimental data resulted to cumulate and represented as logarithms. 50 % of quantity of lengths of words equally 2348,5 at length of a word to equal 7 letters, and 50 % of frequency of words - 5001,5 at length of a word to equal 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, 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 are increased with reduction of length of words from 1,0986 up to 7,1, the logarithm of quantity of lengths of words - from 1,0986 up to 3,5264, the logarithm of cumulative frequency - from 1,0986 up to 9,2106 and the logarithm of cumulative quantity of words - from 1,0986 up to 8,4546. Thus the logarithm of length of words falls from 2,7725 up to 0. That is curves of logarithms of cumulative frequency and ...