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arxiv: 1105.3405 · v1 · pith:BIZUQPSYnew · submitted 2011-05-17 · 🧮 math.CT

Calculus of extensive quantities

classification 🧮 math.CT
keywords extensivequantitiescalculusauthorcommutativecompanionconditionsdicussed
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We show how a commutative monad gives rise to a theory of extensive quantities, including (under suitable further conditions) a differential calculus of such. The relationship to Schwartz distributions is dicussed. The paper is a companion to the author's "Monads and extensive quantities", but is phrased in more elementary terms.

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