Anthology Narrative and Axiomatic Relations

The AI landscape is in a state of flux, characterized by: (US Senate, DeepSeek, Sanctions), (OpenAI, o3-mini-high, DeepSeek R1).
The competition between models is described by: OpenAI < DeepSeek R1 < o3-mini-high, Open Operator > OpenAI (in terms of accessibility/cost).
The evolution of the models follows a power law: Capability(t) = C * t^α, where α > 1 indicates superlinear growth.
The open-source vs. proprietary dynamics can be modeled as a predator-prey system: d(Open)/dt = a*Open - b*Open*Closed, d(Closed)/dt = -c*Closed + d*Open*Closed.
The legislative impact introduces a perturbation: Sanctions(DeepSeek Users) = δ(t - t_leg), where δ is a delta function and t_leg is the time of introduction of the legislation.