something that i want to claim is that we don’t actually need state machines to be finite at all. in a classical automata world, you would think i am crazy, but we can have an infinite number of states, and it’s fast, practical and also guaranteed to terminate. scrap the “finite” and just call it a “deterministic automaton”. this pulls the rug out from under the feet of a lot of theoretical work in automata theory, and it’s a lot harder to grasp, but it gives us a lot of freedom to do things that are impossible in the classical framework, namely context awareness via lookarounds.
“The math doesn’t math,” he said. “The level of intensity, intention and velocity that you have to bring in everything that you do is extreme.”
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City’s nine goals from set plays are the second fewest in the division, ahead of the eight scored by Nottingham Forest and Wolves, as of Tuesday afternoon. Arsenal are the only team to have scored more goals in total than City, with 58, but 24 of them have come from set pieces, representing a 41.3% share, the highest of any top-flight side.