A Gröbner Bases Approach to the Detection of Improperly Parameterized Rational Curve

Certain definite sets of multivariate polynomials are known as Gröbner bases. Several issues in polynomial ideal hypothesis (such as those including algebraic geometry and non-uninterrupted computational geometry) are surely resolved afterwards translating the polynomial sets used in the question specification into Gröbner basis form. The plan of Gröbner bases is used in this place research to offer an algorithm for labeling inappropriate parameterization of realistic curves. The Gröbner bases’ ability to function in both univariate and multivariate fields accompanying specified arranging is the advantage of the projected approach.

Author(s) Details:

Amadu Fullah Kamara,
Department of Mathematics, University of Science and Technology of China, China and Department of Mathematics, Faculty of Pure & Applied Sciences, Fourah Bay College, University of Sierra Leone, Sierra Leone.

Mohamed Abdulai Koroma,
Department of Mathematics, Faculty of Pure & Applied Sciences, Fourah Bay College, University of Sierra Leone, Sierra Leone and Department of Mathematics, Harbin Institute of Technology, China.

Please see the link here: https://stm.bookpi.org/RHMCS-V7/article/view/10004

Keywords: Gröbner bases, resultant, field, parameterization