English

The Puno Calculus: Folding, Unfolding, and What Lives at the Crease

A short mathematical essay proposing that derivatives be understood as "folding" (compressing global function data into local slope information) and integrals as "unfolding" (reconstructing global structure from local rates). Explores subdifferentials as the natural extension at corners and creases, contrasts this permissive approach with the hard combinatorial constraints of origami crease mathematics (Kawasaki's theorem, Maekawa's theorem), and discusses connections to nonsmooth optimization and modern machine learning.

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