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MathGroup Archive 1997

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Re:

  • To: mathgroup at smc.vnet.net
  • Subject: [mg8923] Re: [mg8882]
  • From: Hugh Walker <hwalker at hypercon.com>
  • Date: Sat, 4 Oct 1997 22:08:02 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Scott Morrison <scott at morrison.fl.net.au> asks

 <I'm trying to do something along the lines of NIntegrate[c[1] f[1][x] +
c[2] f[2][x] + ..., {x, 0, a}], where c[n_] is unknown, but the f[n_] are
defined so that NIntegrate[f[n][x], {x, 0, a}] would work. I'd like to be
able to do the numerical integration, and keep the coefficients, so I'd get
as an answer c[1] NIntegrate[f[1][x], {x, 0, a}] + c[2] NIntegrate[f[2][x],
{x, 0, a}] + ... with all the NIntegrate's evaluated.>

Suitable modification of this example might be what you are looking for.

Consider the list of functions fList = Table[x^(k-1) Exp[-x],{k,1,4}].
Construct the array of constants cList = Array[c, 4], evaluating to
{c[1],c[2],c[3],c[4]}. Then the scalar product cList .
NIntegrate[fList//Evaluate,{x,0,Infinity}] gives the linear combination you
seek.

Hugh Walker
Gnarly Oaks
Phone: (713) 729-3093




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