Groups > comp.soft-sys.math.maple > #1147

Re: 0^k

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From	Axel Vogt <&noreply@axelvogt.de>
Newsgroups	comp.soft-sys.math.maple
Subject	Re: 0^k
Date	Wed, 24 Jun 2015 19:45:14 +0200
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On 24.06.2015 14:22, G. A. Edgar wrote:
> In article <ad60240e-f2fa-47a8-90c5-dc564f867c03@googlegroups.com>,
> <peter.luschny@gmail.com> wrote:
>
>> Rainer Rosenthal:
>>> in: seq(0^k, k=-1..-1);
>>> out: 0
>>> in: 0^(-1);
>>> out: Error, numeric exception: division by zero
>>
>> Based on this performance the OEIS Foundation should create
>> a prize, say the 'Golden Vladimir Award' for the best bug
>> of the year, and assign it to Maple.
>
> The "explanation" is that 0^k simplifies to 0, and that happens at such
> a low level that the seq doesn't ever see 0^0.

Indeed.

seq(`^`(0,k), k=0..6);
      1, 0, 0, 0, 0, 0, 0

seq(`^`(0,k), k=-1..1);
      Error, numeric exception: division by zero

Though nobody would enter it the formal way

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0^k peter.luschny@gmail.com - 2015-06-23 01:19 -0700
  Re: 0^k "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2015-06-23 05:27 -0600
    Re: 0^k peter.luschny@gmail.com - 2015-06-23 06:59 -0700
      Re: 0^k Rainer Rosenthal <r.rosenthal@web.de> - 2015-06-23 17:07 +0200
        Re: 0^k peter.luschny@gmail.com - 2015-06-23 09:17 -0700
          Re: 0^k Rainer Rosenthal <r.rosenthal@web.de> - 2015-06-23 23:38 +0200
          Re: 0^k "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2015-06-24 06:22 -0600
            Re: 0^k Axel Vogt <&noreply@axelvogt.de> - 2015-06-24 19:45 +0200

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