Which is greater: $\boldsymbol{e^\pi}$ or $\boldsymbol{\pi^{e}}$? An unorthodox solution to a classic puzzle

Autor:	Vallejo, Andrés, Bove, Italo
Rok vydání:	2023
Předmět:	Physics - Classical Physics Mathematics - History and Overview
Druh dokumentu:	Working Paper
Popis:	The question of the title is a famous puzzle in the field of recreational mathematics, and can be addressed by several approaches. A compilation of solutions, some of them very ingenious, can be found in [1]. In this contribution we present an alternative solution based on the second law of thermodynamics. The method can be extended to derive a more general result involving the exponential function.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.10826 Zobrazit plný text záznamu View this record from Arxiv