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MathGroup Archive 2005

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Re: Simplify

  • To: mathgroup at smc.vnet.net
  • Subject: [mg58683] Re: [mg58669] Simplify
  • From: "David Park" <djmp at earthlink.net>
  • Date: Thu, 14 Jul 2005 02:49:08 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Paul,

I don't think it should simplify. The following simplifies.

poly = p*(p - 1)*b^2 + s^2
prod = Sqrt[poly]*Sqrt[1/poly]
Simplify[prod, p > 1 && s > 0 && b \[Element] Reals]
1

Simplify[prod, p > 1 && {s, b} \[Element] Reals]
1

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


From: paulvonhippel at yahoo [mailto:paulvonhippel at yahoo.com]
To: mathgroup at smc.vnet.net


I'm having some trouble getting an expression to simplify in an obvious
way. (There seems to be a long tradition of users posting to this group
with similar troubles.)

The expression is

 poly = p (p - 1) b^2 + s^2
 prod = Sqrt [poly] Sqrt[1/poly]
 Simplify[prod, {0 < p < 1, s > 0, bϵReals}]

which should return one, I think, but doesn't.

I'd be grateful for suggestions.

Thanks!
Paul



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