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Descartes' rule of signs

Known as: Descartes' sign rule, Rule of signs, Descartes rule of sign 
In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for determining an upper bound… 
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Related topics

Related topics

10 relations
CoefficientGauss–Lucas theoremPolynomialProperties of polynomial roots

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
A Proof of Descartes’ Rule of Signs
In 1637 Descartes, in his famous Geometrie, gave the rule of the signs without a proof. Later many different proofs appeared of… 
2018
2018
Descartes' rule of signs, Rolle's theorem and sequences of admissible pairs
Given a real univariate degree $d$ polynomial $P$, the numbers $pos_k$ and $neg_k$ of positive and negative roots of $P^{(k… 
2016
2016
Real zeroes of random polynomials, II: Descartes' rule of signs and anti-concentration on the symmetric group
In this sequel to [8], we present a different approach to bounding the expected number of real zeroes of random polynomials with… 
2016
2016
Descartes and the Dissolution of Life
I argue that Descartes is not a reductionist about life, but dissolves or eliminates the category entirely. This is surprising… 
Highly Cited
2014
Highly Cited
2014
The Wax and the Mechanical Mind: Reexamining Hobbes's Objections to Descartes's Meditations
Many critics, Descartes himself included, have seen Hobbes as uncharitable or even incoherent in his Objections to the… 
2010
2010
El yo inasible de Pascal frente a la fortaleza del sujeto cartesiano
Compared to Descartes, who attempted to make the thinking subject the centre and strengthen its power, Pascal was confronted with… 
2007
2007
A Semiotic Note on Branding
This paper investigates how the pragmatic semiotics of C. S. Peirce can be used as a way of analyzing brands as signs, containing… 
Review
2007
Review
2007
A study on the performance of natural neighbour‐based Galerkin methods
In this paper we address the problem of improving natural element simulations in terms of computational cost. Several problems… 
2004
2004
New Designs for the Descartes Rule of Signs
Descartes's rule of signs says that the number of positive roots of p(x) is equal to the number of sign changes in the sequence… 
2002
2002
RBF Neural Networks and Descartes' Rule of Signs
We establish versions of Descartes' rule of signs for radial basis function (RBF) neural networks. These RBF rules of signs… 
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