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MathGroup Archive 2006

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Re: Checking the sign of a Mathematical expression

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66426] Re: Checking the sign of a Mathematical expression
  • From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
  • Date: Fri, 12 May 2006 02:03:02 -0400 (EDT)
  • References: <e3uodm$i9u$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Here are two examples of what you want:

Simplify[Sign[x^2],x>0]
1

Simplify[Sign[Sin[x]^2],0<x<Pi]
1

Steve Luttrell
West Malvern, UK

"Bharat Bhole" <bbhole at gmail.com> wrote in message 
news:e3uodm$i9u$1 at smc.vnet.net...
>
> Hello:
>
> Is there a way in Mathematica to check whether an algebraic expression is
> positive or negative, and a way to specify conditions on the variables in
> the expression? For example, is there a way to check whether x^2 is 
> positive
> for any real x? I want to check this for a complicated
> expression...basically the sign of the second derivative of a function.
>
> Thank you very much for your help.
>
> I am sorry for posting this message again. I had not used the appropriate
> subject line and thought I should change it.
>
> 



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