On Tue, 3 Dec 2002, Chris Ball wrote:

> >> On 2002-12-02 21:40:47, Paul Makepeace <[EMAIL PROTECTED]> said:
> 
>    > I should point out I was shooting for "first post" to get it in
>    > before Shevek, Tony, Chris et al rather than any real attempt at
>    > technical accuracy :-) :-)
> 
> Why, I'm honoured to be included with such eminent mathematicians[1].
> I'm only a lowly CS undergrad.  :-)

I'm a what?

I'm thinking the best explanation is that "Any instance of the original
formula for a given x is only true exactly at that x anyway." so the whole
thing doesn't make a lot of sense. The "x + .. + x = x^2" is not a 
functional equality, it's simply a statement that "For a given y, x*y=x^2 
at x=y" and only there. So the whole differentiation thing makes no sense.

> step 1:     a = b
> step 2:     a2 = ab              [ after you multiply both sides by a ]
> step 3:     a2 - b2 = ab - b2           [ subtract b2 from both sides ]
> step 4:     (a + b)(a - b) = b(a - b)             [ factor both sides ]
> step 5:     (a + b) = 1b               [ divide both sides by (a - b) ]

= 0, as we all know.

> step 6:     2b = 1b                       [ since a = b, (a + b) = 2b ]
> step 7:     2 = 1                  [ after you divide both sides by b ]

S.

-- 
Shevek
I am the Borg.

sub AUTOLOAD{my$i=$AUTOLOAD;my$x=shift;$i=~s/^.*://;print"$x\n";eval
qq{*$AUTOLOAD=sub{my\$x=shift;return unless \$x%$i;&{$x}(\$x);};};}

foreach my $i (3..65535) { &{'2'}($i); }


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