Literature / Internet articles / Analysis of literature

Submitted on: Jun 30, 2020, 04:22:14

Description: Theological texts are similar to literary texts, complementing the universe of knowledge, and relate to the lexicology of language, complementing linguistics. The following form of Benford's law is proposed for cumulative probability values KF(n) = LOG10(n+1)+LOG10 (n). Then the Benford formula will have the form for these probabilities: KF(n) and F(n) = LOG10(n+1)±LOG10(n). The values of F(n) and KF(n) for the dynamics of the first digit in terms of text volumes, dictionary volumes, and the ratio of dictionary volumes to text volumes are obtained. The results of modeling the values of the dynamics Of f(n) text volumes, dictionary volumes, and the ratio of dictionary volumes to text volumes are the same, but for the cumulative KF (n) they are different. The results obtained are confirmed by previous studies of Benford's law in linguistics and computer science. The Benford formula for the cumulative value of the probability of meeting the first digit, which in addition to the minus sign has a plus sign KF(n) = LOG10(n+1)+LOG10(n), is confirmed. Keywords: law of the first digit, Benford's law, Benford, mathematical modeling, algebraic equations, universe of knowledge, refinement