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…

2013

If $N={q^k}{n^2}$ is an odd perfect number given in Eulerian form, then Sorli's conjecture predicts that $k=1$. In this article…

2011

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

2004

2002

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

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…

1990

1988

1942