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Descartes's "Rule of Signs'' and Poincaré's Positivstellensatz

Published 30 Sep 2022 in math.AG | (2209.15599v1)

Abstract: This is an exposition of Poincar\'e's 1883 paper, ``Sur les \'equations alg\'ebriques,'' which gives an important refinement of Descartes's rule of signs and was a precursor of P\' olya's Positivstellensatz.

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