Axiomatic Narrative and Relational Insights:

Result: The evolution of AI towards a universal interface can be formalized through the equation I(t) = A(t) * C(t) * P(t), where I represents AI integration, A automation, C computer control capabilities, and P productivity. The democratization of software development follows the function D(t) = E(t) / (K + E(t)), with D representing the degree of democratization, E the effectiveness of AI tools, and K a saturation constant. The orchestration of business processes through AI can be described by the differential equation dO/dt = α*O(1-O/β) - γ*H, where O is the level of orchestration, α the AI adoption rate, β the maximum system capacity, and γ*H represents human resistance to change. Finally, the amplification of human skills through AI follows the law A(t) = H(t) * (1 + λ*AI(t)), where A is the total amplification, H the basic human skills, AI the contribution of artificial intelligence, and λ a synergy factor. These equations rigorously describe the observed dynamics, providing a mathematical framework for analyzing the evolution of AI systems and their impact on productivity and human skills.