Article ID Journal Published Year Pages File Type
4945977 Journal of Symbolic Computation 2017 8 Pages PDF
Abstract
In 2003 it was proved that the open quadrant Q:={x>0,y>0} of R2 is a polynomial image of R2. This result was the origin of an ulterior more systematic study of polynomial images of Euclidean spaces. In this article we provide a short proof of the previous fact that does not involve computer calculations, in contrast with the original one. The strategy here is to represent the open quadrant as the image of a polynomial map that can be expressed as the composition of three simple polynomial maps whose images can be easily understood.
Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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