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Topic: Formal proof of the ambiguity of 0^0
Replies: 163   Last Post: Nov 13, 2013 10:45 AM

 Messages: [ Previous | Next ]
 Dan Christensen Posts: 8,219 Registered: 7/9/08
Re: Formal proof of the ambiguity of 0^0
Posted: Oct 20, 2013 10:17 PM

On Sunday, October 20, 2013 6:12:23 PM UTC-4, Michael F. Stemper wrote:
> On 10/20/2013 05:01 PM, Bart Goddard wrote:
>

> > Dan Christensen <Dan_Christensen@sympatico.ca> wrote in
>
>
>
>

> >> Whether there are two possibilities or ten or an infinite number, the
>
> >> end result is the same.
>
> >
>
> > No, it's not. If one defines 0^0 = 0 or 0^0 = 1, then
>
> > the exponent laws work.
>
>
>
> And if you choose the second, the binomial theorem works,
>
> just as a bonus.
>

If you leave 0^0 undefined, you have to treat things like (2+0)^3 as a separate case in the BT.

>
>
> (We are still discussing N, right? Not R?)
>

Right.

Dan
Visit my new math blog at http://www.dcproof.wordpress.com

Date Subject Author
10/16/13 Dan Christensen
10/16/13 Brian Q. Hutchings
11/1/13 ross.finlayson@gmail.com
10/17/13 Robin Chapman
10/17/13 Bart Goddard
10/17/13 Dan Christensen
10/17/13 fom
10/17/13 Bart Goddard
10/17/13 Dan Christensen
10/17/13 Bart Goddard
10/17/13 Dan Christensen
10/17/13 Peter Percival
10/17/13 Dan Christensen
10/17/13 Dan Christensen
11/2/13 Brian Q. Hutchings
10/17/13 Bart Goddard
10/17/13 Dan Christensen
10/18/13 Bart Goddard
10/17/13 Dan Christensen
10/17/13 Ben Bacarisse
10/17/13 Dan Christensen
10/17/13 Robin Chapman
10/17/13 Dan Christensen
10/17/13 Bart Goddard
10/17/13 Dan Christensen
10/17/13 Brian Q. Hutchings
10/17/13 Brian Q. Hutchings
10/18/13 Robin Chapman
10/18/13 Dan Christensen
10/23/13 Shmuel (Seymour J.) Metz
10/25/13 Bart Goddard
10/29/13 Dan Christensen
10/30/13 Bart Goddard
10/30/13 Dan Christensen
10/30/13 Bart Goddard
10/30/13 Dan Christensen
10/30/13 Bart Goddard
10/30/13 Robin Chapman
10/30/13 Bart Goddard
10/30/13 Peter Percival
10/30/13 Richard Tobin
10/30/13 fom
10/31/13 David Bernier
10/31/13 David Bernier
10/30/13 Dan Christensen
10/30/13 Bart Goddard
10/30/13 Dan Christensen
10/31/13 Bart Goddard
10/31/13 Dan Christensen
10/31/13 Bart Goddard
10/31/13 Dan Christensen
10/31/13 Bart Goddard
10/30/13 Peter Percival
10/30/13 JT
10/30/13 Dan Christensen
10/30/13 Peter Percival
10/30/13 Dan Christensen
10/30/13 Brian Q. Hutchings
10/30/13 Brian Q. Hutchings
10/30/13 JT
10/30/13 Peter Percival
10/30/13 JT
10/30/13 JT
10/30/13 Brian Q. Hutchings
10/18/13 Robin Chapman
10/18/13 Dan Christensen
10/18/13 fom
10/18/13 Dan Christensen
10/18/13 fom
10/18/13 Dan Christensen
10/18/13 Peter Percival
10/18/13 Dan Christensen
10/20/13 Dan Christensen
10/20/13 Bart Goddard
10/20/13 Dan Christensen
10/20/13 Bart Goddard
10/20/13 Dan Christensen
10/20/13 Bart Goddard
10/20/13 Michael F. Stemper
10/20/13 Bart Goddard
10/20/13 Dan Christensen
10/23/13 Brian Q. Hutchings
10/20/13 Dan Christensen
10/20/13 Bart Goddard
10/20/13 Dan Christensen
10/20/13 Bart Goddard
10/20/13 Dan Christensen
10/21/13 Bart Goddard
10/21/13 Dan Christensen
10/21/13 Peter Percival
10/21/13 Bart Goddard
10/21/13 Dan Christensen
10/21/13 Bart Goddard
10/21/13 Peter Percival
10/21/13 fom
10/21/13 Bart Goddard
10/21/13 JT
10/21/13 Dan Christensen
10/21/13 JT
10/21/13 Dan Christensen
10/20/13 Peter Percival
10/20/13 Dan Christensen
10/23/13 Dan Christensen
10/23/13 fom
11/1/13 Dan Christensen
11/1/13 Bart Goddard
11/1/13 Dan Christensen
11/1/13 Bart Goddard
11/1/13 Dan Christensen
11/1/13 fom
11/1/13 Dan Christensen
11/1/13 Bart Goddard
11/1/13 Dan Christensen
11/1/13 Bart Goddard
11/1/13 Dan Christensen
11/1/13 Bart Goddard
11/1/13 Dan Christensen
11/1/13 Bart Goddard
11/1/13 Brian Q. Hutchings
11/1/13 Dan Christensen
11/1/13 Brian Q. Hutchings
11/2/13 Robin Chapman
11/1/13 Dan Christensen
11/1/13 Bart Goddard
11/1/13 ross.finlayson@gmail.com
11/3/13 ross.finlayson@gmail.com
11/3/13 Brian Q. Hutchings
11/1/13 Dan Christensen
11/2/13 Bart Goddard
11/2/13 Dan Christensen
11/2/13 Bart Goddard
11/12/13 Bart Goddard
11/12/13 Bart Goddard
11/12/13 Bart Goddard
11/12/13 Bart Goddard
11/13/13 Bart Goddard
11/13/13 Bart Goddard
11/2/13 Virgil
11/2/13 Dan Christensen
11/2/13 Bart Goddard
11/2/13 Paul
11/3/13 Bart Goddard
11/2/13 Dan Christensen
11/2/13 Dan Christensen
11/2/13 Ki Song
11/2/13 Virgil
11/2/13 Michael F. Stemper
11/2/13 Virgil
11/3/13 Michael F. Stemper
11/3/13 Robin Chapman
11/3/13 fom
11/3/13 Jussi Piitulainen
11/3/13 fom
11/4/13 Jussi Piitulainen
11/3/13 JT
11/3/13 JT
11/12/13 Dan Christensen
11/13/13 Dan Christensen