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Re: sum with lists

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40565] Re: sum with lists
  • From: atelesforos at hotmail.com (Orestis Vantzos)
  • Date: Thu, 10 Apr 2003 03:39:19 -0400 (EDT)
  • References: <b70npo$9gd$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Begin with d1=Take[d,(n/2)+1] to cut the list down to the triplets you
want to use in the sum.
Then d2=Transpose[d1] will return a list of the form
{{x0,x1,...},{y0,...},{z0,...}}
The sum you want is the inner product d2[[1]].d2[[3]]

Oneliner:
mySum[d_]:=With[{d2=Transpose[Take[d,(n/2)+1]]},d2[[1]].d2[[3]]]

Orestis

"Nathan Moore" <nmoore at physics.umn.edu> wrote in message news:<b70npo$9gd$1 at smc.vnet.net>...
> Another list question.  Suppose that I have the list 
>     d={
>     {x0,y0,z0},
>     {x1,y1,z1},
>     {x2,y2,z1},
>     ...
>     {xn,yn,zn}}
> 
> and now I'd like to calculate the sum, 
>     Sum[x[i]*z[i],{i,0,n/2}]
> 
> I tried 
>     Sum[d[[i, 1]]*d[[i, 3]], {i, 0, 10}]
> with little success
> 
> thanks,
> 
> Nathan Moore,
> University of Minnesota Physics


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