On Buckingham's $\Pi$-Theorem
Mathematical Physics
2019-12-19 v1 Functional Analysis
math.MP
Abstract
Roughly speaking, Buckingham's -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.
Keywords
Cite
@article{arxiv.1912.08744,
title = {On Buckingham's $\Pi$-Theorem},
author = {Jan-David Hardtke},
journal= {arXiv preprint arXiv:1912.08744},
year = {2019}
}
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16 pages