Yuri N. Klimov. Length of words and frequency of words in verses of the poet of the beginning of Xx century of M. A. Kuzmins

Literature / Internet articles / Analysis of literature

Submitted on: Nov 15, 2012, 04:58:33

Description: The total number of words in M.A.Kuzmin's poems [1] is made 698, and with their frequency - 982 by a technique [2]. Dependence of length of words on frequency, quantity of words on frequency, frequencies of words from length of words, cumulative quantity of words from their cumulative frequency, logarithms of lengths of words from the logarithm of frequency, the logarithm of length of words from the logarithm of cumulative quantity of words and the logarithm of cumulative quantity of words from the logarithm of length of words are investigated. 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 inversely proportional to its frequency, cumulative frequency, 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 the sedate equation for the given dependences can be positive or negative and serves for an estimation of the concrete text. Logarithms of lengths of words are various and logarithms of frequency of words - from 1,0986 up to 4,4308, logarithms of quantity of words - from 1,0986 up to 2,6391, cumulative frequency - from 1,0986 up to 6,8895 and cumulative quantity of words - from 1,0986 up to 6,5482 change from 2,5649 up to 0. That is curve dependences of cumulative frequency and cumulative quantity of words on their length will be imposed against each other till length of a word equal 7, and then the plug is formed: the curve of cumulative frequency will lay above a curve of cumulative quantity of words. 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 d...