# Yuri N. Klimov. Dependence of lengths of words on frequency and quantity of words in Psaltir

## Literature / Internet articles / Analysis of literature

Submitted on: Nov 25, 2012, 02:15:32

Description: The total of words in Psaltir [1] is made 9718, and with their frequency - 55748 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 in the given equations 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 6,9275, the logarithm of quantity of words - from 1,0986 up to 3,5835, the logarithm of cumulative frequency - from 1,0986 up to 10,9290 and the logarithm of cumulative quantity of words - 1,0986 up to 9,1817. Thus the logarithm of length of words falls from 2,7726 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 2,7081, 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...

The abstract of this article will be published in the November 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.