Раскрыта необычная опасность блендера и кофемолки

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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.

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From the construction of rationals, we know that the spacing between them is arbitrarily close, but at any “magnification level” — for any chosen denominator b — the values divide the continuum into uniform intervals. Uniform spacing also implies maximal spacing: even though there is no upper or lower bound to the values of a / b, they are as far apart as they can be. Any new value inserted onto the number line will necessarily sit “closer” to an existing rational.

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Варвара Кошечкина (редактор отдела оперативной информации)