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math.CO2023
A partition formula from idempotents
Charlotte Aten
A formula which only involves a partition number and elementary functions is derived by applying Burnside's Lemma to the set of idempotent maps from a set to itself. One side invol…
cs.NE2023
Discrete neural nets and polymorphic learning
Charlotte Aten
Theorems from universal algebra such as that of Murskiĭ from the 1970s have a striking similarity to universal approximation results for neural nets along the lines of Cybenko's fr…