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How to discard negative solutions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg129309] How to discard negative solutions
  • From: "Dr. Robert Kragler" <kragler at hs-weingarten.de>
  • Date: Mon, 31 Dec 2012 19:45:51 -0500 (EST)
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  • Reply-to: kragler at hs-weingarten.de

Hi,
from a geometric problem I obtain with $Assumptions = {a > 0, b > 0, c > 0} 
using Solve a series of solutions such as
  {b -> a, c -> a} but also {c -> -a - b}.
The latter one should obviously be discarded because it will be negative 
according to the assumptions (a>0, b>0) above.
How can these negative solutions being excluded by Mathematica V8 ? Positve[] 
and NonNegative[] do not help because quantities which are not NumericQ remain 
unevaluated. Help is appreciated.

Robert Kragler



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