I know that the following set is convex \begin{equation} X = \{(x,y) \in \mathbb{R}^2 : x>0 ,~ y\geq0 \}~ \cup~\{(0,0)\} \end{equation} i.e. the positive orthant without the y-axis but with the origin, and I am wondering if it is possible to describe this set with a finite (or infinite) number of convex constraints on $x$ and $y$ ?
2026-04-01 11:38:32.1775043512
Convex description of the positive orthant without the y-axis
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