On Dec 8, 10:45 am, kcrisman <kcris...@gmail.com> wrote:
> > And why should anyone care?  Do you think that Wolfram Alpha will last
> > longer than Mathematica?
>
> I think the point was that not everyone who might want to do this
> would have access to Mma, but that (for now) they would all have
> access to W|A.  Just to clarify - I don't really have a horse in this
> race.
>
> - kcrisman

Right, that would be the case where both Sage and Wolfram Alpha last
longer than the University of Washington, (or at least UW's
Mathematica license).   A great idea: not only have the recipient of
Sage redundantly spend a CPU day or two recompiling everything, but
have each recipient send
a few thousand duplicative "tests" to Wolfram Alpha.  I hope the
sarcasm is evident.

On the testing front, you could test random polynomials for a very
long time and not find this bug
in Mathematica (and maybe something like it in Sage).
  Expand[(x^(2^(2^29))+1)^2]

though that may be a problem only on 32-bit Mathematica systems.

VB's "bugs" tend not to be of the form "break glass with hammer", but
of the form
"multiply and divide by a complicated expression,  with an integration
in the middle".
Oh, the complicated expression is actually zero, but you didn't
notice.

Now VB can find a bug in nearly every non-trivial operation P.   just
use P instead of "integration".

Is this useful?  maybe. maybe not.  A determined adversary can break
any system that
is sufficiently open-ended.  Open enough to be able to generate a
number that can't be stored.

RJF


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