Year: 2015
Type: preprint
Abstract: In this work we present a new polynomial map $f:=(f_1,f_2):{\mathbb R}^2\to{\mathbb R}^2$ whose image is the open quadrant $\{x>0,y>0\}\subset{\mathbb R}^2$. The proof of this fact involves arguments of topological nature that avoid hard computer calculations. In addition each polynomial $f_i\in{\mathbb R}[{\tt x},{\tt y}]$ has degree $\leq16$ and only $11$ monomials, becoming the simplest known map solving the open quadrant problem.
Source: arXiv (Cornell University)
Authors: Fernando, Jose F., Gamboa, J. M., Ueno, Carlos
Institutions: University of Pisa, Universidad Complutense de Madrid
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: G1810434018
OpenAlex ID: W1496865953