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Real algebraic geometry

Gudkov's conjecture

Harnack's curve theorem

Hilbert's seventeenth problem

Nash functions

Non-Archimedean ordered field

Polytope

Positive polynomial

Ragsdale conjecture

Semialgebraic set

Semialgebraic space

Semidefinite programming

Subanalytic set

Sum-of-squares optimization

Tarski–Seidenberg theorem

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