Mathematical Physics Branches: Identifying Mixed Type Equations

Abstract

The article focuses on the problem of defining paradigmatic relations between definitions of certain fields in mathematical physics. The ultimate goal is to outline the hierarchical relations between the terms that can be used when searching on the mathematical resources along with additional classification parameters set in secondary documents. A thesaurus entry is selected as an information model. The thesaurus was formed by analyzing the original works of classics of mathematical analysis and differential calculus, and a representative list of articles was organized for that purpose. Following the example of thesaurus on the ‘problem of mixed type equations’ domain, a way of employing formulas in a mathematical article search is proposed. The paper covers a work script of a user, who is familiar with the subject domain and deals with papers done with the help of TeX-notation. A natural document indexing mechanism is set by key words in cited secondary documents. Such an approach helps to specify the search query with mathematical notation regardless the source language. The semantic links effect is based on usage of terms from the mathematical subject domain thesaurus stored with formulas that serve as a background for a mathematical search. It results in lower level of information noise and reduced search time.