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MathGroup Archive 1992

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Iterator sequences

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Iterator sequences
  • From: hkunzle at galilei.math.ualberta.ca (H.P. Kunzle)
  • Date: Sat, 3 Oct 92 13:27:11 -0700

Is there a way in Mathematica to generate a list of
iterators dynamically? 

What I have in mind is something like

  Sum[ Product[v[i]^j[i],{i,3}],Table[{j[i],nn[[i]]},{i,3}]]

where nn is a given list of integers.
This won't work since Table[..] is a list of lists, not
just a sequence. I tried to fool Mathematica into
accepting it by using 


  Sum[ Product[v[i]^j[i],{i,3}],
       ToExpression[StringDrop[StringDrop[
       ToString[Table[{j[i],nn[[i]]},{i,3}]],1],-1]] ]

but also get just an error message:

  Sum::itform: 

     Argument ToExpression[StringDrop[<<8>>op[<<2>>], -1]]
       at position 2 does not have the correct form for an
       iterator.

Any help is appreciated.

Hans Kunzle

---
H.P. Kunzle               | Office: (403) 492-3798	
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