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MathGroup Archive 2005

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Re: Simplify

  • To: mathgroup at smc.vnet.net
  • Subject: [mg58676] Re: [mg58669] Simplify
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Thu, 14 Jul 2005 02:49:01 -0400 (EDT)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

poly=p (p-1) b^2+s^2;
prod=Sqrt[poly] Sqrt[1/poly];

Since 0<p<1 then (p-1) is negative and poly can be negative. Restrict poly to 
being positive

Simplify[prod, poly>0]

1

Equivalently,

PowerExpand[prod]

1


Bob Hanlon

> 
> From: "paulvonhippel at yahoo" <paulvonhippel at yahoo.com>
To: mathgroup at smc.vnet.net
> Date: 2005/07/13 Wed AM 03:29:00 EDT
> Subject: [mg58676] [mg58669] Simplify
> 
> 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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