On a bounded version of Holder's Theorem and an application to the permutability equation
Mathematical Physics
2012-07-18 v1 math.MP
Abstract
The permutability equation G(G(x,y),z) = G(G(x,z),y) is satisfied by many scientific and geometric laws. A few examples among many are: The Lorentz-FitzGerald Contraction, Beer's Law, the Pythagorean Theorem, and the formula for computing the volume of a cylinder. We prove here a representation theorem for the permutability equation, which generalizes a well-known result. The proof is based on a bounded version of Holder's Theorem.
Keywords
Cite
@article{arxiv.1207.3848,
title = {On a bounded version of Holder's Theorem and an application to the permutability equation},
author = {Jean-Claude Falmagne},
journal= {arXiv preprint arXiv:1207.3848},
year = {2012}
}
Comments
This paper will be submitted as a chapter in an edited volume honoring the 90th birthday of Patrick Suppes. The author presented the paper at a conference honoring Suppes 90th birthday at Stanford University