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MathGroup Archive 2004

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Re: Using "Sum" (i = 1 ... N) in a function definition

  • To: mathgroup at smc.vnet.net
  • Subject: [mg49828] Re: Using "Sum" (i = 1 ... N) in a function definition
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Tue, 3 Aug 2004 01:11:00 -0400 (EDT)
  • Organization: The University of Western Australia
  • Sender: owner-wri-mathgroup at wolfram.com

wilhelm.rainer at gmx.net (Rainer) wrote:

> I was trying to define a function using the Sum command in the
> following way (simplified example):
>
>  MyData = {3,2,4,5,6};
>  MyFunc[i_] = Sum[MyData[[j]],{j,1,i}];
>
> As you can see, the idea is to use the length of the list (i)
> as a variable in the function definition, such that
>
>  MyFunc[1] = 3
>  MyFunc[2] = 3 + 2 = 5
>  MyFunc[3] = 3 + 2 + 4 = 9
>
> etc. Mathematica does not like the abobe statements, and prints the
> following error message:
>
> "Part specification K$394 is neither an integer nor a list of
> integers."
>
> Does anybody know how to define (correctly) such a function. Should be
> possible ...?

There really is no need to define a function MyFunc. Instead just use 
FoldList:

   Rest[FoldList[Plus,0,{3,2,4,5,6}]]

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 9380 2734
School of Physics, M013                         Fax: +61 8 9380 1014
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Crawley WA 6009                      mailto:paul at physics.uwa.edu.au 
AUSTRALIA                            http://physics.uwa.edu.au/~paul


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