4 citations · 5 across the 2 of their papers we have counts for
3 papers
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…
math.GR2019
On Group-Like Magmoids
Dan Jonsson
A magmoid is a non-empty set with a partial binary operation; group-like magmoids generalize group-like magmas such as semigroups, monoids and groups. In this article, we first con…