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Real algebraic geometry / Field theory / Algebraic geometry / Cylindrical algebraic decomposition / Real closed field / Algebraic extension / Algebraic variety / Tarski–Seidenberg theorem / Field / Abstract algebra / Mathematics / Algebra


ALGORITHMS IN REAL ALGEBRAIC GEOMETRY: A SURVEY SAUGATA BASU Abstract. We survey both old and new developments in the theory of algorithms in real algebraic geometry – starting from effective quantifier elimination in
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Document Date: 2011-07-21 09:04:59


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Davenport / /

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cylindrical algebraic decomposition algorithm / attempt to survey these applications / exponential algorithms / elementary recursive algorithm / quantifier elimination algorithm / main algorithmic tool / homotopy continuation algorithms / algorithmic applications / numerical algorithms / low dimensional applications / probabilistic algorithms / interior-point algorithms / singly-exponential algorithms / recent algorithms / /

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author / General / /

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singly-exponential algorithms / doubly exponential algorithms / cylindrical algebraic decomposition algorithm / homotopy continuation algorithms / singly exponential algorithms / quantifier elimination algorithm / interior-point algorithms / elementary recursive algorithm / /

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