**Next message:**Eugene Leitl: "Re: MATH/COMP/PHIL: "Omega Man""**Previous message:**Eugene Leitl: "Re: "analog computer" = useless hypothesis?"**In reply to:**Spike Jones: "Re: MATH/COMP/PHIL: "Omega Man""**Next in thread:**Spike Jones: "Re: MATH/COMP/PHIL: "Omega Man""**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]

Spike Jones wrote:

*> > > > "a^2 + b^2 = c^2 + 1".
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*> > >
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*> > spike Jones wrote: > By inspection this has infinitely many solutions.
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*>
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*> Dan Fabulich wrote:
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*>
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*> > But *which* solutions? Can you come up with a function for a, b and c
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*> > such that they'll always satisfy this equation?
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*>
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*> Sure: a = +/-1, b = +/- c,
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*> or: b = +/-1, a = +/- c
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Er, duh. I forgot the completeness requirement.

So, does this formula capture all of the solutions? Or just some of

them? I want the one that generates all of the solutions.

*> > That's what's meant by a "solution" here.
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*>
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*> Dan, perhaps Ive misunderstood the question? spike
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No, I'd just forgotten the important part. ;)

-Dan

-unless you love someone-

-nothing else makes any sense-

e.e. cummings

**Next message:**Eugene Leitl: "Re: MATH/COMP/PHIL: "Omega Man""**Previous message:**Eugene Leitl: "Re: "analog computer" = useless hypothesis?"**In reply to:**Spike Jones: "Re: MATH/COMP/PHIL: "Omega Man""**Next in thread:**Spike Jones: "Re: MATH/COMP/PHIL: "Omega Man""**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]

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