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Results tagged with real-algebraic-geometry
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user 200799
Real algebraic geometry is the study of real solutions to algebraic equations with real coefficients. Its methods are rather different from classical algebraic geometry, which is typically done over an algebraically closed field (like the complex numbers).
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Nowhere negative polynomials form a semialgebraic set
Let $P_{d, n}$ be the space of polynomial maps $\mathbb{R}^n\to \mathbb{R}$ of degree at most $d$.
Is the subset $S\subset P_{d, n}$ of nowhere negative polynomials semialgebraic?
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