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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…
math.RA2019★ 4 cited
Magnitudes Reborn: Quantity Spaces as Scalable Monoids
Dan Jonsson
This article includes a survey of the historical development and theoretical structure of the pre-modern theory of magnitudes and numbers. In Part 1, work, insights and controversi…