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Re: Simplify

• To: mathgroup at smc.vnet.net
• Subject: [mg58673] Re: [mg58669] Simplify
• From: Andrzej Kozlowski <akozlowski at gmail.com>
• Date: Thu, 14 Jul 2005 02:48:58 -0400 (EDT)
• References: <200507130729.DAA13777@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

On 13 Jul 2005, at 16:29, paulvonhippel at yahoo wrote:

> 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
>
>


prod /. {p -> 1/2, s -> 0, b -> 1}


-1


prod /. {p -> 1/2, s -> 1, b -> 0}


1


FullSimplify[Abs[prod], {0 < p < 1, s > 0, bϵReals}]


1


Andrzej Kozlowski

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• References:
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    • From: "paulvonhippel at yahoo" <paulvonhippel@yahoo.com>