Ctc Transition Rates

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Now, with all of the conditions known, we can start to apply properties of the CTMC to rank college football teams. Before starting anything, the state space has to be identified. The state space is simply just a list for all the possible states in the system. This list consists of all teams in college football that played against at least 2 FBS (Football Bowl Subdivision) opponents. I chose such a specific guideline so that teams that only played one game were left out as to avoid skewed or peculiar results. We now need to define the transition rates between the states. The transition rates here will simply be the number of points scored by one team against another as the rate of going from one state to the other. These points scored by

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