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Generated parameters

  • To: mathgroup at smc.vnet.net
  • Subject: [mg116239] Generated parameters
  • From: olfa <olfa.mraihi at yahoo.fr>
  • Date: Tue, 8 Feb 2011 05:05:00 -0500 (EST)

Hi Mathematica community,
For this system:
Reduce[v/d^(i/-2) == vP/d^(iP/-2) &&
  (iP == -1 || iP == 0), {iP, vP}, Reals, Backsubstitution -> True]

the output is:
(iP == 0 && C[1] \[Element] Integers && d < 0 && i == -2 C[1] &&
   vP == (-d)^-C[1] v)
||
 (iP == 0 && C[1] \[Element] Integers &&
   C[1] <= -1 && d < 0 && i == -2 C[1] &&
   vP == (-d)^-C[1] v)
||
(iP == 0 && C[1] \[Element] Integers &&
   d < 0 && i == -2 C[1] && vP == -(-d)^-C[1] v)
 ||
 (iP == 0 &&
   C[1] \[Element] Integers && C[1] <= -1 && d < 0 && i == -2 C[1] &&
   vP == -(-d)^-C[1] v)
||
 (d > 0 && iP == 0 &&
   vP == d^(i/2) v)
 ||
 (d > 0 && iP == -1 && vP == d^(1/2 + i/2) v)

1)Why Reduce generates parameters for this example?
2) and how to avoid them knowing that for this system the solution
that I hope to get is
 ( iP == 0 && vP == d^(i/2) v)
||
 ( iP == -1 && vP == d^(1/2 + i/2) v)


Thank you.


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