Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2006
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2006

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Mathematica Question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66373] Re: Mathematica Question
  • From: Peter Pein <petsie at dordos.net>
  • Date: Thu, 11 May 2006 02:14:36 -0400 (EDT)
  • References: <e3shhl$m39$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Bharat Bhole schrieb:
> 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.
> 
> Bharat.
> 
> 
Hi Bharat,


  there are several ways:

Reduce[x^2 > 0, x \[Element] Reals]
--> x < 0 || x > 0

FullSimplify[%]
--> x != 0

FullSimplify[x^2 > 0, x \[Element] Reals]
--> x != 0

FullSimplify[ForAll[x, x \[Element] Reals, x^2 > 0]]
--> False

FullSimplify[ForAll[x, x \[Element] Reals, x^2 >= 0]]
--> True

hth,
  Peter


  • Prev by Date: Re: Creating a new table using values from a column in another table,
  • Next by Date: Re: Question on Map or Apply
  • Previous by thread: Re: Mathematica Question
  • Next by thread: Re: Mathematica Question