Application Of The Criterion Of Links Distribution Between Elements In A Complex System For Evaluation Of Holistic Text Perfection

Abstract

It is known that texts can be examined as complex social systems and Zipf's law is used when applied for the evaluation of their perfection. It is proposed to add distribution of links between the objects of the system to the list of perfection criteria of texts viewed as complex systems. An empirical law of syntactic and linking words distribution in texts is also proposed. The examples of complex systems are examined in order to define a mathematical representation of this law. The models of such systems are associated with the graph theory, exchange of messages at internet forums, distribution of urban population across city districts, and transportation networks. At the “engineering level of rigor” it is shown that in these systems, the empirical law of links distribution between the objects has a general mathematical representation. Non-linguistic models are provided to prove the system-wide character of the distribution of links ranks feature, but the models are also suitable for the self-consistent use in the corresponding applications. The golden proportion in the number of syntactic and significant words is proposed as an additional criterion of text perfection. Perfection criteria are useful in the analysis of the quality of texts posted in the internet and in the development of recommendations for the improvement of texts used for school purposes.