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An O(1) Bitwise Evaluator for Cayley--Dickson Sign Structure: Ordinary, Split, Dual, and Tensor Constructions
The sign of the Cayley–Dickson basis product ei · ej = ±ei ⊕ jcoincides with the explicit twist functionσ(A, B) of Ren and Zhao (Theorem 1 for the standard algebras; Theorem 2 for the split relation σs = σ + an-1
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