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Re: ListCorrelate and Powers

  • To: mathgroup at smc.vnet.net
  • Subject: [mg116274] Re: ListCorrelate and Powers
  • From: Oliver Ruebenkoenig <ruebenko at wolfram.com>
  • Date: Wed, 9 Feb 2011 02:11:10 -0500 (EST)

On Tue, 8 Feb 2011, Harvey P. Dale wrote:

> It is easy to use ListCorrelate to generate the sum of a list
> with each element multiplied by the successive terms in the "kernel."
> For example, ListCorrelate[{1,2,3,4},{a,b,c,d,e}] produces {a+2 b+3 c+4
> d,b+2 c+3 d+4 e}.  Is there any way, using the optional 5th and 6th
> parameters, to generate this list instead:
> {a+b^2+c^3+d^4,b+c^2+d^3+e^4}?
> Thanks.
> Harvey


Harvey,

you could use this

ListCorrelate[{1, 2, 3, 4}, {a, b, c, d, e}, {1, -1}, 0, f, g]

ListCorrelate[{1, 2, 3, 4}, {a, b, c, d, e}, {1, -1}, 0,
  Power[#2, #1] &, g]

ListCorrelate[{1, 2, 3, 4}, {a, b, c, d, e}, {1, -1}, 0,
  Power[#2, #1] &]

Hth,
Oliver

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