Monomials as Set Term Clusters in Terminologies

Abstract

Abstract. The present paper tightly links to the earlier introduced idea of monomials and polynomials as substitutes of the term in linguistics when applicable to languages for specific purposes, or terminologies. The classification by Oksana Chaika (2019) of monomials and polynomials stresses out the similarities between terms and interrelation of the terms in an algebraic expression (its terms/components and operations) in mathematics and terms / components of the term and interrelation of the terms in the term, which is a terminological set expression in a language for specific purpose.  Under the research, monomials are seen as set term clusters that form a specific term in a relevant terminology of the relevant language. Monomials are differentiated for their structure and syntagmatic relations inter alia. The underlying focus is on the number of terms in the term – monomial, which causes taxonomy of such monomials in relevant terminologies and languages. Where a monomial consists of one term only, it is referred to as a mono-term monomial. Where it is a two-term, three-term or multi-term, the monomials are referred to as a bi-term or multi-term, respectively. Bi-term monomials and multi-term monomials should not be confused with a binomial or a polynomial. The syntactic relation of coordination is of critical value for polynomials in general and binomials, in particular.