Further than Descartes’ rule of signs
The sign pattern defined by the real polynomial $Q:=\Sigma _{j=0}^da_jx^j$, $a_j\ne 0$, is the string $\sigma (Q):=(\mathrm{sgn}(a_d),\ldots ,\mathrm{sgn}(a_0))$. The quantities $\mathrm{pos}$ and $\mathrm{neg}$ of positive and negative roots of $Q$ satisfy Descartes’ rule of signs. A couple $(\sigm...
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Main Authors: | Gati, Yousra, Kostov, Vladimir Petrov, Tarchi, Mohamed Chaouki |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2024-10-01
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Series: | Comptes Rendus. Mathématique |
Subjects: | |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.610/ |
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