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Re: simplifying inside sum, Mathematica 5.1
*To*: mathgroup at smc.vnet.net
*Subject*: [mg53749] Re: simplifying inside sum, Mathematica 5.1
*From*: Richard Fateman <fateman at cs.berkeley.edu>
*Date*: Wed, 26 Jan 2005 04:36:30 -0500 (EST)
*Organization*: University of California, Berkeley
*References*: <ct4h70$av2$1@smc.vnet.net> <ct56p1$eca$1@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
Since the answer given by this process is 0 instead of the
arguably correct a[0],
the question remains. (Similarly for Dr. Bob and Andrzej).
RJF
>
Jens-Peer Kuska wrote:
Hi,
>
> since 0^0 is indefined *and* i run over i=0,1,... Mathematica will not
> simplify this expression. In other cases you may remove the HoldAll
> attribut from Sum[] to force the evaluation or you can try
>
> s = Sum[a[i]*x^i, {i, 0, Infinity}];
>
> (s /. x -> 0) /. Verbatim[Sum][s_, iter__] :>
>
> (Sum @@ {Simplify[s, Element[i, Integers] && i > 0],
> iter})
>
> clearly the assumption in the Simplify[] call contradicts
>
> the bounds of the iterator.
>
>
>
> Regards
>
> Jens
>
>
> "Richard Fateman" <fateman at cs.berkeley.edu> schrieb im Newsbeitrag
> news:ct4h70$av2$1 at smc.vnet.net...
>
>>Sum[a[i]*x^i,{i,0,Infinity}]
>>
>>%/. x->0
>>
>>
>>leaves 0^i inside the sum, unsimplified.
>>
>>So does the sum from 1 to Inf.
>>
>>The correct answers are presumably a[0] and 0.
>>
>>Is there a way to get Mathematica to do this?
>>
>>RJF
>>
>
>
>
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