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math-ph2020★ 2 cited
An Algebraic Foundation of Amended Dimensional Analysis
Dan Jonsson
We present an innovative approach to dimensional analysis, based on a general representation theorem for complete quantity functions admitting a covariant scalar representation; th…
math.RA2020★ 1 cited
The Pi Theorem Revisited: On Representations of Quantity Functions
Dan Jonsson
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 analysi…