Heads reproduction in Hercules and hidras battles

• Main Author: Piza Volio, Eduardo
• Format: Others
• Language: Español
• Published: Pontificia Universidad Católica del Perú 2014
• Subjects: Lógica Simbólica Y Matemática; Internet En La Educación; Funciones de Variable Compleja; Matemáticas
• Online Access: http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8189/8485; http://repositorio.pucp.edu.pe/index/handle/123456789/96061

Hercules killed the Hydra of Lerna in a bloody battle-the second of the labor tasks imposed upon him in atonement for his hideous crimes. The Hydra was a horrible, aggressive mythological monster with many heads and poisonous blood, whose heads multiplied each time one of them was severed. This paper explores some mathematical methods about this interesting epic battle. A generalization of the original Kirby & Paris model is proposed, concerning a general heads reproduction pattern. We also study the connection of this model with Goodstein ultra-growing and recursive sequences. As an interesting application, we next analyze the inevitable death of another huge monster of our modern era: the Internet.