Examples of computation of level lines of polynomials in a plane
Abstract:
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.
Keywords:
polynomial, critical point, critical curve, level line, Newton polygon, Grobner basis
Publication language:russian, pages:36
Research direction:
Mathematical modelling in actual problems of science and technics