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Assume $p, q \in \mathbb{R}[x_1,\ldots,x_k]$ and let $ \vec{0} \not\in V(q) := \{\vec{x} \in \mathbb{R}^k \mid q(\vec{x}) = 0 \}$ such that $r_q := \inf_{\vec{x}\in V(q)} |\!|\vec{x}|\!|_\infty < \...