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math.CA2026
The d'Alembert Inevitability Theorem
Jonathan Washburn, Milan ZlatanoviÄ, Elshad Allahyarov
We study functions satisfying the composition law with a symmetric polynomial combiner . We prove that symmetry together with a quadratic degree boun…
math.CA2026
Uniqueness of the Canonical Reciprocal Cost
Jonathan Washburn, Milan ZlatanoviÄ
We study a rigidity problem for functions \(F:\R_{>0}\to\R_{\ge 0}\) that penalize deviation of a positive ratio from equilibrium \(x=1\). Assuming (i) a d'Alembert-type compositio…