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MathGroup Archive 2006

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RE: Simplification with constraints

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72060] RE: [mg72040] Simplification with constraints
  • From: "David Park" <djmp at earthlink.net>
  • Date: Sun, 10 Dec 2006 04:49:13 -0500 (EST)

Vladimir,

What about

Eliminate[{expr == b*b + c*c + d*d, a*a + b*b + c*c + d*d == 1}, d]
expr == 1 - a^2

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/ 

From: Vladimir [mailto:vladimir347 at yahoo.com]

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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