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MathGroup Archive 2001

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Re: A=B example

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32133] Re: [mg32120] A=B example
  • From: Rob Pratt <rpratt at email.unc.edu>
  • Date: Sat, 29 Dec 2001 00:46:53 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

I don't have access to Mathematica at the moment, but here's a thought.  
Note that a is not a local variable.  Try Clear[]-ing a before repeating
the evaluation.

Rob Pratt
Department of Operations Research
The University of North Carolina at Chapel Hill

rpratt at email.unc.edu

http://www.unc.edu/~rpratt/

On Fri, 28 Dec 2001, Erich Neuwirth wrote:

> this has probably been asked before.
> being new to the list i would be happy with a pointer to previous
> answers.
> 
> 
> in A=B by Wilf and Zeilberger,
> on page 61 there is the following program for deriving recursions
> explicitly
> (i had to change FactorialSimplify to FullSimplify
> because the original version was for mathematica 2.2):
> 
> 
> findrecur[f_, ii_, jj_] :=
>   Module[{yy, zz, ll, tt, uu, r, s, i, j},
>     yy = Sum[
>         Sum[a[i, j] *FullSimplify[f[n - j, k - i]/f[n, k]], {i, 0, ii}],
> {j, 
>           0, jj}];
>     zz = Collect[Numerator[Together[yy]], k];
>     ll = CoefficientList[zz, k];
>     tt = Flatten[Table[a[i, j], {i, 0, ii}, {j, 0, jj}]];
>     uu = Flatten[Simplify[Solve[ll == 0, tt]]];
>     For[r = 0, r <= ii, r++,
>       For[s = 0, s <= jj, s++,
>         a[r, s] = Replace[a[r, s], uu]]];
>     Sum[Sum[a[i, j]  F[n - j, k - i], {i, 0, ii}], {j, 0, jj}] == 0]
> 
> defining
> f[n_, k_] := n!/(n - k)!
> 
> and executing
> findrecur[f,1,1]
> works,
> but trying to run exactly the same statement a second time
> produces a lot of errors and effectively hangs mathematica.
> 
> is there a solution?
> 
> 
> 
> --
> Erich Neuwirth, Computer Supported Didactics Working Group
> Visit our SunSITE at http://sunsite.univie.ac.at
> Phone: +43-1-4277-38624 Fax: +43-1-4277-9386
> 
> 




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