12 years of Python and only at v2.2
Lulu of the Lotus-Eaters
mertz at gnosis.cx
Thu Dec 5 16:50:50 EST 2002
Brad Hards <bhards at bigpond.net.au> wrote previously:
|Strictly speaking, releases are not monotonic, because they are discrete
|points, not continuous functions, and IIRC, the formal definition is a limit
|function, which clearly won't work in this case.
Nonsense. Monotonic functions don't need to be continuous (heck, not
even if they range on the Reals).
So the function:
{ (i,F(i)) | i in I+; F(i) in I+; F(i) := i*i }
is a perfectly good, non-discrete monotonic function over the positive
integers.
Likewise, the function:
{ (r,F(r)) | r in R; F(r) in {-1,1}, F(r) := if r<0, -1, otherwise 1 }
if a non-continuous (at one point) monotonic function whose domain is
the Reals; and whose range is a subset of the Reals.
Yours, Lulu...
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