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.
| Identifer | oai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/96061 |
| Date | 25 September 2017 |
| Creators | Piza Volio, Eduardo |
| Publisher | Pontificia Universidad Católica del Perú |
| Source Sets | Pontificia Universidad Católica del Perú |
| Language | Español |
| Detected Language | English |
| Type | Artículo |
| Format | |
| Source | Pro Mathematica; Vol. 16, Núm. 31-32 (2002); 145-164 |
| Rights | Artículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/ |
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