Brent Dax wrote:
> Nicholas Clark wrote:
> > Unless I'm being thick, x² < y² whenever x < y for positive x 
> > and y (ie you don't need to take the square root of the 
> > hypotenuse to work out which hypotenuse is shorter. And all 
> > we're actually interested in which one is shorter, aren't we?)
> 
> Assuming x and y are integers, yes.  Which'll probably be all we ever
> deal with, so for all intents and purposes you're correct.

Yes, of course the numbers will always be integers -- we're
dealing with distances in a discrete space (type space).

But, um, what Nick said is true even if the numbers are reals. :-)

-- 
John Douglas Porter


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