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…

Papers overview

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2018

In 1637 Descartes, in his famous Geometrie, gave the rule of the signs without a proof. Later many different proofs appeared of…

2018

Given a real univariate degree $d$ polynomial $P$, the numbers $pos_k$ and $neg_k$ of positive and negative roots of $P^{(k…

2016

I argue that Descartes is not a reductionist about life, but dissolves or eliminates the category entirely. This is surprising…

2011

Finding the peak of an optimization problem or model is just part of the solution process. This paper analyzes dual prices…

2004

2004

For any wave front W and any source point F not in W , it is possible to construct a family of reflecting profiles {Ma…

2002

We establish versions of Descartes' rule of signs for radial basis function (RBF) neural networks. These RBF rules of signs…

1999

Ce travail tente de reprendre la question du « point de depart » cartesien a partir de son environnement historique…

1997

We formulate and duscuss two open problems. The rst one is due to PP olya. It states that the sequence of polynomials formed by a…

1988