Re: GCD(0,0)
- From: "mensanator@xxxxxxxxxxx" <mensanator@xxxxxxx>
- Date: 29 Dec 2005 14:20:47 -0800
Leroy Quet wrote:
> I notice that these math-controversy threads often get massive
> numbers of replies.
> (While more serious math posts and my games, for example,
> hardly ever get any replies.)
> So I will post this troll-bait flame-bait message to sci.math
> because I always wanted to start one of those huge threads.
> :)
>
> For n = any positive integer, it is known that
>
> GCD(n,n) = n
>
> and
>
> GCD(0,n) = n.
>
> (GCD is Greatest Common Divisor, of course.)
>
> But what is, if there is any defined value,
>
> GCD(0,0)?
>
> It certainly isn't 0 (which would fit the pattern above if
> n=0), is it?
> I would think that infinity would work as well as anything.
>
> Or is GCD(0,0) simply undefined, like 0/0?
>
>
> thanks, (half seriously, oh well, 3/4 seriously)
> Leroy Quet
Gee, Leroy, looks like the issue is resolved in only 3 messages.
So much for the huge thread. But even 4 messages is more than
you sometimes get. I really do read all your games and briefly ponder
them, although only from the perspective of what I can make of them
using Excel or Python (I have little interest in pencil and paper).
I'm actually planning to take a look at that last one about evens/odds
as it looks like there's something I can do with Excel. Whether it
turns out to be anything interesting remains to be seen. I will,
of course, let you know if I find anything.
.
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