New Criterion Reveals Unique Expansions in Number Systems
Test shows the polynomial ∑e^{-2π i a_k t} has no roots on the unit circle, so n‑ary expansions are unique; for prime bases it reduces to a distinct‑mod‑n check. getnews.me/new-criterion-reveals-un... #uniquenumber #semigroup
No Prime Functional Digraphs: A Simple Proof Revisiting Seifert 1971
Ralph Seifert proved in 1971 that functional digraphs have no prime elements, a result revisited in a 2023‑2024 note that modernizes his proof. Antonio Porreca raised the question in 2020. getnews.me/no-prime-functional-digr... #graph #semigroup
Video of my lecture on #cutgeneratingfunctionology 📈📉 titled "Inverse #semigroup theory of cutting planes for integer linear optimization" @HopkinsEngineer
https://youtu.be/Ka3aFWP82Co (Part I) #orms
