MathGroup Archive 2006

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

Search the Archive

Re: Inequalities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69713] Re: [mg69660] Inequalities
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Thu, 21 Sep 2006 07:30:35 -0400 (EDT)

On 20 Sep 2006, at 15:44, misha wrote:

> I am an inexperienced user and am wondering whether Mathematica can  
> help
> me with inequalities such as the following.
>
> Given 0 < p < q < 1,
>
> When is p(1-p)<q(1-q)?
>
> It should be, if 1 - q > p.
>
> Thanks!
>


For example,


Simplify[Reduce[{p*(1 - p) < q*(1 - q), 0 < p < q < 1},
    {p, q}], {0 < p < q < 1}]


p < 1/2 && p + q < 1

Andrzej Kozlowski

Tokyo, Japan


  • Prev by Date: Re: How to delete a row and a column in a matrix?
  • Next by Date: Re: How to delete a row and a column in a matrix?
  • Previous by thread: Re: Inequalities
  • Next by thread: RE: Inequalities