On Buckingham's $\Pi$-Theorem

Abstract

Roughly speaking, Buckingham's $\Pi$-Theorem provides a method to "guess" the structure of physical formulas simply by studying the dimensions (the physical units) of the involved quantities. Here we will prove a quantitative version of Buckingham's Theorem, which is "purely mathematical" in the sense that it does make any explicit reference to physical units.

16 pages

Cited by in corpus (1)

• Theory and Application of Augmented Dimensional Analysis