Mathematical models of text

摘要

An object of serious study in the information sciences is printed language, called text. This paper presents numerous examples of mathematical models of text and in so doing exposes some interesting results and problems associated with the linguistic, mathematical, and computational aspects of current research involving text.First, the notions of mathematical models and modeling are reviewed. Then the graphemic, morphological, syntactic, and semantic linguistic levels of text analysis are distinguished and discussed. Next, numerous deterministic models and stochastic models of text are treated in some detail. Finally, these research accomplishments in information science are summarized and future research is discussed.