Re: How can I evaluate this statement?
- To: mathgroup at smc.vnet.net
- Subject: [mg89933] Re: How can I evaluate this statement?
- From: dh <dh at metrohm.ch>
- Date: Wed, 25 Jun 2008 06:22:18 -0400 (EDT)
- References: <g3q7n2$akf$1@smc.vnet.net>
Hi,
your statement is not true, simply take a=1 and b=-2. You may fix it by:
a>b>0. This can be proven by:
Resolve[ ForAll[{a,b},Implies[ a>b >0, a^2>b^2 ]] ]
hope this helps, Daniel
pircdefense wrote:
> I'm trying to show for all real numbers whether the following statement is true or false:
>
> If a > b, then a^2 > b^2. I've tried various syntax and configurations in Mathematica, but I can't get it to report true or false. Can anyone offer a solution?
>
--
Daniel Huber
Metrohm Ltd.
Oberdorfstr. 68
CH-9100 Herisau
Tel. +41 71 353 8585, Fax +41 71 353 8907
E-Mail:<mailto:dh at metrohm.com>
Internet:<http://www.metrohm.com>