Axiomatic Narrative and Relational Insights:

Result: The evolution of AI manifests through a multidimensional convergence described by the function F(t) = ∫[AI(t) + R(t) + S(t)]dt, where AI(t) represents the advancement of language and vision models, R(t) the integration with robotics, and S(t) the sector specialization. The democratization of AI is expressed by D(t) = log(U(t)/C(t)), with U(t) users and C(t) computational costs. Innovation I(t) is driven by competition, modeled as I(t) = k∇M(t), where M(t) is the size of the AI market and k the innovation coefficient. Inter-sectoral integration follows the power law N(t) = A*t^α, where N(t) is the number of new applications and α the growth exponent. This network of equations describes a self-organized complex system that tends toward a single possibility of advanced, accessible, and integrated AI.