Examples of computation of level lines of polynomials in a plane | Zendy

A. D. Bruno | Zendy; А. Б. Батхин | Zendy; Zafar Khaydar ugli Khaydarov | Zendy

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Examples of computation of level lines of polynomials in a plane

Author(s) -

A. D. Bruno,

А. Б. Батхин,

Zafar Khaydar ugli Khaydarov

Publication year - 2021

Publication title -

keldysh institute preprints

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.

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