Juncai Zhou

Dual-Derivative Power Theorem: Group Homomorphic Structure on Hybrid Characteristic Abelian Groups

We define the hybrid characteristic Abelian group H_D(γ,p) = R^D × F_p^D with a unified nonlinear operator: a ⊕_γ b = a + b + γ·(a⊙b) acting simultaneously on real (characteristic 0) and finite field (characteristic p) components. We introduce the dual-derivative power operator D...