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Meaning, why can't this exist: $dI=\frac{dq}{dt}$ Is this a calculus question? Or is this just by the definition of current? It can exist, and I would consider this a calculus question. When Newton and Leibniz originally invented calculus, they conceived of a derivative as a (usually finite) ratio of two infinitesimal numbers. Infinitesimal ...


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The current working assumption of most physicists who are researching computational complexity is that the computation achievable in classical physics is equivalent in power, up to polynomial factors, with a classical Turing machine, and that the computation achievable in quantum physics is equivalent, up to polynomial factors, with a quantum Turing machine. ...


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In a sense, yes the bound can be violated, but not because is violated, but because the algorithm is completely different. Let me explain. In Mathematics, elements and rules are defined according to a strict logic and from them, conclusions are drawn following this methodical and univocal logic. It is a milestone of human thinking. This allows to ...



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