Abstract
One of the fundamental results of Dimensional Analysis is the so‐called Bridgman' s theorem. This theorem states that the only functions that may have dimensional arguments are products of powers of the base quantities of a given system of units. In this work, Bridgman's theorem is discussed and rederived in two different ways, one not involving calculus, and a second one based on a Taylor series expansion analysis.
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Berberan‐Santos, M.N., Pogliani, L. Two alternative derivations of Bridgman's theorem. Journal of Mathematical Chemistry 26, 255–261 (1999). https://doi.org/10.1023/A:1019102415633
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DOI: https://doi.org/10.1023/A:1019102415633