Narrative Anthology and Axiomatic Relations:

Result: The evolution of the AI ecosystem can be formalized through the following equation: E(t) = A(t) * D(t) * I(t), where E(t) represents evolution over time, A(t) automation, D(t) democratization, and I(t) multimodal integration. The dynamics of tension between progress and ethical limits is expressed as: T(t) = P(t) / L(t), where T(t) is tension, P(t) technological progress, and L(t) ethical and technical limits. The impact on learning and productivity is modeled as: IP(t) = α * AI(t) + β * H(t), where IP(t) is the impact on productivity, AI(t) the contribution of artificial intelligence, H(t) the human contribution, and α and β are weighting coefficients. These axiomatic relations describe a rapidly evolving system, characterized by a convergence towards integration and advanced automation, balanced by ethical considerations and the need for human adaptation.