1207.3848 (Jean-Claude Falmagne)

On a bounded version of Holder's Theorem and an application to the
permutability equation    [PDF]

Jean-Claude Falmagne

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.

View original: http://arxiv.org/abs/1207.3848