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math.HO2026
Descartes' Circle Theorem, Princess Elizabeth, and Spinors
Daniel Parrochia
In this article, on Descartes' famous "circle theorem," we first attempt to explain how the philosopher could have arrived at the equation that he presents without demonstration in…
math.GM2026
From Schwartz Space to Structural Aging (Towards a small history of Old Age mathematics)
Daniel Parrochia
Starting with some historical considerations, we examine the various attempts to model old age that fall within the realm of mathematical physics. For example, we study the mathema…