Anthology Narrative and Axiomatic Relations:

Resulting: The AI ecosystem evolves according to the function R(t) = D(t) * S(t) * I(t), where D(t) represents democratization, S(t) security, and I(t) innovation. The democratization D(t) = A(t) * C(t), with A(t) accessibility and C(t) computational capacity, grows exponentially. The security S(t) = E(t) * G(t), where E(t) is ethics and G(t) governance, increases linearly. The innovation I(t) = M(t) * V(t), with M(t) multimodality and V(t) virtuality, follows a sigmoidal curve. The infrastructural integration is described by II(t) = ∫[R(t) * K(t)]dt, where K(t) is the adaptability capacity. The augmented creativity CA(t) = R(t) * H(t), with H(t) human factor, emerges as a product of the AI ecosystem and human creative input. These equations formalize the observed dynamics, highlighting the interconnection and nonlinear evolution of the AI ecosystem.