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Re: Could 0^0=0? Maybe!
Posted:
Sep 26, 2013 11:17 AM
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On Thursday, September 26, 2013 10:54:14 AM UTC-4, dull...@sprynet.com wrote:
> On Wed, 25 Sep 2013 14:24:54 -0700 (PDT), Dan Christensen
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> <Dan_Christensen@sympatico.ca> wrote:
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> >As taught in high schools and many university courses, 0^0 is undefined.
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> Does the phrase "beating a dead horse" mean anything to you?
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I don't think any other topic has inspired as much heated debate in online math forums, but I think this may be a new approach to the problem. These days, the usual rationale for the historical practice of leaving 0^0 undefined is based on the use of path-dependent limits. See for example: https://en.wikipedia.org/wiki/Exponentiation#Zero_to_the_power_of_zero
I think of have shown that you don't need all the machinery of real analysis to justify this practice -- ordinary natural number arithmetic is quite up to the job.
Dan
Download my DC Proof 2.0 software at http://www.dcproof.com
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