lkml.org 
[lkml]   [1997]   [Mar]   [11]   [last100]   RSS Feed
Views: [wrap][no wrap]   [headers]  [forward] 
 
Messages in this thread
/
Date
From
SubjectRe: 2.0.30 - its all a numbers game, I tell ya!
Excerpts from internet.computing.linux-kernel: 11-Mar-97 Re: 2.0.30 -
its all a numb.. by H. Peter Anvin@transmeta
> Proof by obfuscation doesn't count. You can "prove" that 0/0 = a for
> any finite number a by observing that:
>
> a x
> lim --- = a
> x -> 0 x
>
> Q.E.D.
>
> (a doesn't even have to be real for the proof to hold!)
>
> -hpa
ON THE CONTRARY NOT QED. this may not be obfuscation itself but it
relies on the obfuscation of the definition of a limit.

Okay my apologizes to continue this TERRIBLY OFF TOPIC thread but
something has to be set straight here. The above is a limit - it
doesn't prove that 0/0=a. In a slightly better form, since people are
always abusing things likes limits and infiinites heres the definition.:

DEFINITION
Let f be a function defined on some open interval that contains a number
a, except possibly a itself. Then we say that the limit of f(x) as x
approaches a is L, and we write
lim f(x) = L
x->a
if for every number E > 0 there is a corresponding number d >0 such that
|f(x) - L| < E whenever 0 < |x-a| < d
From this you should see that your "proof" fails.

D. Ryan Willhoit


\
 
 \ /
  Last update: 2005-03-22 13:39    [from the cache]
©2003-2011 Jasper Spaans