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Simplification with constraints

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72040] Simplification with constraints
  • From: "Vladimir" <vladimir347 at yahoo.com>
  • Date: Sat, 9 Dec 2006 06:09:48 -0500 (EST)

Suppose we have a constraint:

a*a+b*b+c*c+d*d==1

What is the most elegant and general way to simplify any expression
considering above constraint for simplification?

For (just a simple) example:

In[]:=simplify[b*b+c*c+d*d]

should give:

Out[]=1-a*a

--
thanks in advance,
Vladimir


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