Open AccessExamples of computation of level lines of polynomials in a plane
Author(s) -
A D Bruno,
Alexander Borisovich Batkhin,
Zafar Khaydar ugli Khaydarov
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-98
Subject(s) - gröbner basis , polygon (computer graphics) , factorization , mathematics , newton polygon , algebra over a field , computation , symbolic computation , plane curve , polynomial , representation (politics) , plane (geometry) , basis (linear algebra) , factorization of polynomials , algebraic curve , algebraic number , pure mathematics , algorithm , computer science , geometry , matrix polynomial , mathematical analysis , telecommunications , frame (networking) , politics , political science , law
Here we present a theory and 3 nontrivial examples of level lines calculating of real polynomials in the real plane. For this case we implement the following programs of computational algebra: factorization of a polynomial, calculation of the Grobner basis, construction of Newton's polygon, representation of an algebraic curve in a plane. Furthermore, it is shown how to overcome computational difficulties.