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Re: Evaluating inequalities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131578] Re: Evaluating inequalities
  • From: William Rummler <wrummler at wolfram.com>
  • Date: Sun, 8 Sep 2013 03:05:34 -0400 (EDT)
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Hi Sam,

The relation isn't always true given the assumption:


In[1]:= relation = -k^2 + w^2/KK^2 > 0;

In[2]:= assumption = w/k < KK;

In[3]:= counterExample = 
 FindInstance[assumption && Not@relation, {w, k, KK}]

Out[3]= {{w -> -1, k -> 1, KK -> 1}}

In[4]:= {assumption, relation} /. counterExample

Out[4]= {{True, False}}


hth,
William


----- Original Message -----
> Hi,
> 
> Why doesn't this:
> 
> Assuming[w/k < KK, -k^2 + w^2/KK^2 > 0] // Simplify
> 
> evaluate to False?
> 
> Thanks!
> 
> Sam
> 
> 



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