Narrative Anthology and Axiomatic Relationships:

Result: The AI ecosystem evolves according to a principle of multimodal integration, described by the function E(t) = I(t) * C(t) * S(t), where I represents interaction, C creativity, and S scalability. The democratization D(t) of AI tools accelerates innovation, expressed as dI/dt = k * D(t), with k as a constant of proportionality. The complexity of multi-agent systems M(t) grows exponentially: M(t) = M₀ * e^(r*t), where r is the growth rate. The lowering of entry barriers B(t) is inversely proportional to the spread of applications A(t): A(t) = α / B(t), with α as a sector constant. Technological convergence follows a logistic law: C(t) = C_max / (1 + e^(-β(t-t₀))), where C_max is the maximum level of convergence and β the adoption rate. These equations describe a rapidly evolving AI system towards more natural interfaces and diversified applications, driven by a synergy between tool accessibility and manageable complexity.