33 citations · 102 across the 12 of their papers we have counts for
12 papers
Bézout coefficients of coprime numbers approximate quadratic Bézier curves
Benjamín A. Itzá-Ortiz, Roberto López Hernández, Pedro Miramontes
Given a point with nonnegative integer coordinates and , we prove that the quadratic Bézier curve relative to the points , and is approximat…
Beta Rank Function: A Smooth Double-Pareto-Like Distribution
Oscar Fontanelli, Pedro Miramontes, Ricardo Mansilla +2
The Beta Rank Function (BRF) , where is the normalized and continuous rank of an observation , has wide applications in fitting real-world data from soci…
Digital images unveil geometric structures in pairs of relatively prime numbers
Benjamín A. Itzá-Ortiz, Roberto López-Hernández, Pedro Miramontes
We present a transformation, based on the Bézout's identity, which maps the set of pairs of relatively prime numbers with fixed and , to pairs of relatively prim…
Population patterns in World's administrative units
Oscar Fontanelli, Pedro Miramontes, Germinal Cocho +1
While there has been an extended discussion concerning city population distribution, little has been said about administrative units. Even though there might be a correspondence be…
Beyond Zipf's Law: The Lavalette Rank Function and its Properties
Oscar Fontanelli, Pedro Miramontes, Yaning Yang +2
Although Zipf's law is widespread in natural and social data, one often encounters situations where one or both ends of the ranked data deviate from the power-law function. Previou…
Role reversal in a predator-prey interaction
Faustino Sánchez-Garduño, Pedro Miramontes, Tatiana T. Marquez-Lago
Predator-prey relationships are one of the most studied interactions in population ecology. However, little attention has been paid to the possibility of role exchange between spec…