# Yuri N. Klimov. Dependence of lengths of words on frequency and quantity of words in verses of king of poets of the beginning of Xx century I. Severjanin

## Literature / Internet articles / Analysis of literature

Submitted on: Dec 12, 2012, 02:51:13

Description: Total of words in verses I. Severjanin [1] is made 481, and with their frequency - 851 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 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 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 4,8675, the logarithm of quantity of words - from 0 up to 2,0794, the logarithm of cumulative frequency - from 0 up to 6,7464и the logarithm of cumulative quantity of words - from 0 up to 6,1758. Thus the logarithm of length of words falls from 2,5649 up to 0. That is curves of logarithms of cumulative frequency and logarithms of cumulative quantity of words from the logarithm of length of words will be imposed against each other up to the logarithm of length of a word equal 2,1972, and then the plug is formed: the curve of the logarithm of cumulative frequency will lay above a curve of the logarithm 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, ...

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.