👉 The FCC (Federal Communications Commission) uses mathematical models extensively to manage and allocate radio frequencies for various services, including broadcasting, telecommunications, and emergency communications. These models often involve complex algorithms to optimize spectrum efficiency, prevent interference, and ensure fair access for all users. Key concepts include frequency planning, which uses optimization techniques to allocate frequencies based on demand and regulatory constraints; interference analysis, employing signal processing and statistical methods to predict and mitigate conflicts; and dynamic spectrum access, which leverages machine learning to adaptively use available frequencies in real-time. The FCC also relies on mathematical proofs and simulations to validate the performance of these systems, ensuring compliance with regulations and maintaining the integrity of the communication spectrum.