Extended Simulations and Applications of the Prime-Induced Function Switching Model (PIFSM)
Extended Simulations and Applications of the Prime-Induced Function Switching Model (PIFSM)
This article presents a comprehensive extension of the Prime-Induced Function Switching Model (PIFSM), focusing on large-scale simulations and practical applications. Building on the foundational framework introduced in the first paper, we explore functional switching behavior up to n = 1000, analyzing patterns of prime-induced discontinuities and non-monotonic transformations. The work includes: Complete mathematical formulation of dynamic functional switching, Tables and plots for numerical outputs of , Statistical analysis of average behavior, phase transitions, and variance over larger n, Potential applications in cryptography, adaptive AI systems, bio-computational evolution, and decision logic. This study deepens our understanding of discrete system evolution governed by prime structures and sets the stage for deploying PIFSM in practical computational contexts.
dynamic functions, Prime numbers, mathematical modeling, simulation models, adaptive systems, PIFSM, intelligent computation, prime-triggered transitions, non-linear logic, functional switching, AI logic frameworks, discontinuous systems, mathematical discontinuity, prime-indexed mutation, algorithmic evolution
dynamic functions, Prime numbers, mathematical modeling, simulation models, adaptive systems, PIFSM, intelligent computation, prime-triggered transitions, non-linear logic, functional switching, AI logic frameworks, discontinuous systems, mathematical discontinuity, prime-indexed mutation, algorithmic evolution
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