We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives and we give an algorithm to compute all singular points. We also describe ...

Tropical geometry is used to develop a new approach to the theory of discriminants and resultants in the sense of Gelfand, Kapranov and Zelevinsky. The tropical A-discriminant is the tropicalization of the dual variety of ...

A study to estimate a correlation between urban geometry and electrical energy consumption of Bauru, a tropical city situated in Brazil, is presented. The study suggests a direct correlation of electrical energy consumption ...

According to Gibbs, an ideal thermodynamic system would have finitely many phases (e.g., solid, liquid, gas) that would be separated by a (branched) smooth manifold; the "phase transition locus". In the context of the ...

"Este trabajo presenta una introducción a las nociones de geometría tropical y al diseño de mecanismos, para posteriormente caracterizar los mecanismos incentivo compatibles para una distribución dada de los tipos de los ...