Re: mathementical/formal foundations of computing ?
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Re: mathementical/formal foundations of computing ?         


Author: John Doty
Date: Mar 6, 2007 10:48

Jerry Avins wrote:
> John Doty wrote:
>
> ...
>
>> "Ohm's Law", on the other hand, is simply a functional relationship
>> that any particular configuration of matter may or may not follow.
>> It's essentially the definition of a resistor, not a fundamental law.
>> It's also unrelated to Maxwell's equations.
>
> Ohm's law /is/ related to Maxwell's equations in that Maxwell cites it
> as part of the empirical evidence on which his equations are based. In
> "Treatise", Maxwell systematically catalogs the various known behaviors
> of electricity and magnetism, including Ohm's Law, Coulomb's Law, the
> contributions of Ampere, Faraday, Oersted, and others. He weaves those
> observations into a coherent whole by adding displacement current, then
> with those -- I called them stepping...
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Re: mathementical/formal foundations of computing ?         


Author: gds
Date: Mar 6, 2007 23:29

John Doty whispertel.LoseTheH.net> wrote:
>Jerry Avins wrote:
>> Ohm's law /is/ related to Maxwell's equations in that Maxwell cites it
>> as part of the empirical evidence on which his equations are based. In
>> "Treatise", Maxwell systematically catalogs the various known behaviors
>> of electricity and magnetism, including Ohm's Law, Coulomb's Law, the
>> contributions of Ampere, Faraday, Oersted, and others. He weaves those
>> observations into a coherent whole by adding displacement current, then
>> with those -- I called them stepping stones in what I snipped -- in
>> place, he derives his equations (with mathematical help from Green,
>> Gauss, and others).
>
>Weird. Mathematically, Ohm's Law has nothing to do with Maxwell's
>equations. Maxwell's equations work just fine whether...
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