The Pi Theorem Revisited: On Representations of Quantity Functions

Abstract

This note states and proves a representation theorem for regular quantity functions, based on the theory of quantity spaces, thereby giving a new perspective on dimensional analysis and the classical $\pi$ theorem.

5 pages

References in corpus (3)

• Quantities, Dimensions and Dimensional Analysis
• Dimensional Analysis: A Centenary Update
• Magnitudes Reborn: Quantity Spaces as Scalable Monoids