Overdetermined Systems of Sparse Polynomial Equations

Foundations of Computational Mathematics - In this paper, we show that for a system of univariate polynomials given in sparse encoding we can compute a single polynomial defining the same zero set...     

Predictive modeling in a steelmaking process using optimized relevance vector regression and support vector regression

Annals of Operations Research - The existence of contaminants in metal alloys products is the main problem affecting the product quality, which is an important requirement for competitiveness in...     

Une remarque sur l'annulateur du groupe des classes d'idéaux

Using an inequality for the Weil height on an Abelian extension of the rationals and a theorem of Linnik, we prove a lower bound for the index of the annihilator of the ideal class group of a cyclotomic field. This lower bound is exponential in the degree of the field. To cite this article: F. Amoroso, C. R. Acad. Sci. Paris, Ser. I 342 (2006).     

The photocurrent response of human cones is fast and monophasic

Background  

The precise form of the light response of human cone photoreceptors in vivo has not been established with certainty. To investigate the response shape we compare the predictions of a recent model of transduction in primate cone photoreceptors with measurements extracted from human cones using the paired-flash electroretinogram method. As a check, we also compare the predictions with previous single-cell measurements of ground squirrel cone responses.     

Efficient Hydrolysis of RNA by a PNA - Diethylenetriamine Adduct

The introduction of a urea bond linking a protected diethylenetriamine (DETA) unit and the terminal amino group of a resin-bound peptide nucleic acid (PNA) decamer gave access to a PNA - DETA adduct (shown here), which hydrolyzed the target 25-mer RNA rapidly and sequence specifically.