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Re: ListCorrelate and Powers

  • To: mathgroup at smc.vnet.net
  • Subject: [mg116273] Re: ListCorrelate and Powers
  • From: Armand Tamzarian <mike.honeychurch at gmail.com>
  • Date: Wed, 9 Feb 2011 02:10:59 -0500 (EST)
  • References: <iir4nq$6qd$1@smc.vnet.net>

On Feb 8, 9:08 pm, "Harvey P. Dale" <h... at nyu.edu> 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
>
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Try this:

f[x_, y_] := Power[y, x]

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

Mike


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