Dimensional analysis and the pi theorem

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Abstract

A new version of the Buckingham pi theorem is presented which reveals the underlying mathematical structure of that classical result. In this context it becomes a theorem in linear algebra, and it is formulated without reference to physical quantities, units, dimensions, and so on. Also, the classical approach of Birkhoff is reviewed and some points in his proof are expanded. © 1982.

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Curtis, W. D., Logan, J. D., & Parker, W. A. (1982). Dimensional analysis and the pi theorem. Linear Algebra and Its Applications, 47(C), 117–126. https://doi.org/10.1016/0024-3795(82)90229-4

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