Yuri N. Klimov. Ranking distribution of lengths of words, frequencies and quantities of words in poems of the poet of the beginning of Xx century of M.a. Kuzmin

Literature / Internet articles / Analysis of literature

Submitted on: Nov 20, 2012, 03:19:16

Description: The total of words in M.A.Kuzmin's poems [1] is made 698, and with their frequency - 982 by a technique [2] with the general number of ranks 3905. The cumulative length of a word has made 3905, and cumulative frequency - 982. Are investigated ranking distributions: the logarithm of lengths of words from the logarithm of a rank of the logarithm of length of a word from the logarithm of cumulative frequency, the logarithm of length of a word from the logarithm of cumulative length of a word, the logarithm of cumulative length of a word from the logarithm of a rank, and also distribution of the logarithm of cumulative frequency of a word from the logarithm of a rank, the logarithm of cumulative length of a word from the logarithm of length of words and dependence of the logarithm of cumulative length of a word on frequency. For reception of adequate mathematical dependences experimental data resulted to кумуляте 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. Dependences of the logarithm of lengths of words on the logarithm of a rank and dependence of the logarithm of length of a word on the logarithm of cumulative length of a word are described by the identical equations. Dependence of the logarithm of length of a word on the logarithm of cumulative frequency is described by polynoms of the second and third degrees with average length of a word on the linear equation 2.3516. Dependence of the logarithm of cumulative length of a word on the logarithm of a rank is submitted by the sedate equation, polynoms of the third degree and the logarithmic equation with average cumulative length of a word on the linear equation 6,...