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Real algebraic geometry

Gudkov's conjecture

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Harnack's curve theorem

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Hilbert's seventeenth problem

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Nash functions

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Non-Archimedean ordered field

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Polytope

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Positive polynomial

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Ragsdale conjecture

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Semialgebraic set

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Semialgebraic space

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Semidefinite programming

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Subanalytic set

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Sum-of-squares optimization

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Tarski–Seidenberg theorem

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