On Thu, Feb 28, 2002 at 10:18:45AM +0000, David Chan wrote:
> On Wed, Feb 27, 2002 at 09:35:13PM +0000, Nicholas Clark wrote:
> > On Tue, Feb 26, 2002 at 11:17:55AM +0000, Alex Gough wrote:
> > > Yes, at some point allowing 10**222222222222222222222, is just silly,
> > > and I doubt the potentional applications are numerous enough to
> > > warrant trying it.  So long as we're clear about what the limits are,
> > 
> > about 10**98 particles in the universe, isn't it?
> > How many real world calculations seriously need numbers considerably
> > larger than that?
> 
> Remember that many important calculations are not "real world".  For
> instance, numbers bigger than 10**98 are used routinely in cryptography
> (though not bigger than 10**2147483648, which is your point, I think).
> 
> I'm sure you could, in theory, get numbers that high when dealing with
> statistical stuff.  But if people say it hardly ever happens in
> practice, then I'm sure they're right.

Eg: The size of the space of configurations of a simple model of magnetism
(the Ising model) would be 2**V where V is the number of sites of some
lattice. "Very nearly all" of them are pathological special cases, though.

Such models are quite common in simulation, but only a newbie would
approach them in a manner where that number actually appeared. I'd
agree with all of the above - come up with some vaguely sensible limit
and make it clear in the documentation what the limit is.

Ben

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