Re: How is it possible to factor Sum[a]+Sum[b] to Sum[a+b] ?
- To: mathgroup at smc.vnet.net
- Subject: [mg42043] Re: How is it possible to factor Sum[a]+Sum[b] to Sum[a+b] ?
- From: "Peltio" <peltio at twilight.zone>
- Date: Tue, 17 Jun 2003 05:43:27 -0400 (EDT)
- Organization: Peltio Inc.
- References: <bcjtid$hn3$1@smc.vnet.net>
- Reply-to: "Peltio" <peltioNOSP at Miname.com.invalid>
- Sender: owner-wri-mathgroup at wolfram.com
"Eric Duault" wrote
>Hello
>
>I looking for a way to transform an expression in the form
>Sum[a[n], {n, 1, Infinity}] + Sum[b[n], {n, 1, Infinity}]
>to :
>Sum[a[n]+b[n], {n, 1, Infinity}]
>where a[n] and b[n] are numerical.
Hi, you might want to try the tiny package I wrote: "Summa.m". It's on the
mathsource (under typesetting : ] ). Just do a search with keyword Peltio or
"infinite sums manipulation" on the wolfram search engine.
It uses a different object (Summa) to avoid the evaluator, but the output is
the same as with Sum. Moreover the newer version (I'm confindent I will find
the time to upload it before the end of the month) will allow you to use Sum
directly.
Please note that it is only a small package that assume the user knows what
is allowed to do. It won't check the mathematical soundness of the steps it
will be required to perform.
Hope it helps,
Regard,
Peltio
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