Re: System of NonLinear Inequalities

*To*: mathgroup at smc.vnet.net*Subject*: [mg48564] Re: [mg48511] System of NonLinear Inequalities*From*: Andrzej Kozlowski <akoz at mimuw.edu.pl>*Date*: Sat, 5 Jun 2004 07:19:07 -0400 (EDT)*References*: <200406040849.EAA23604@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

First of all, your inequalities are not written using Mathematica syntax (you can't use square brackets in this way). But looking at them I see it does not matter whether you use proper syntax or not: no computer program will ever solve a system of inequalites involving someting like x^(2/(2 - x)). Your only chance is a human brain and some fantastic stroke of luck. Sorry for being so unhelpful. Andrzej On 4 Jun 2004, at 17:49, maurizio lisciandra wrote: > Dear Friends, > > I tried to solve the following system of nonlinear inequalities with > Mathematica 5.0: > > F < (1/2)*[a^(x/(2 - x))]*[x^(2/(2 - x))] && > (2*a*B)^(x/2) + F - B > (2*a*F)^(x/2) && > F > B > 0 && > 0 <= a <= 1 && > 0 < x < 2. > > I tried with Reduce, SolveInequality, SemiAlgebraicComponent, > FindInstance, > but all these function do not solve it. I tried to substitute x for > some > fixed value, but again I cannot solve it. The only value that I can > substitute for x is 1, and in this case the solution is an empty > space. I > may be happy if I find a value that solves the system, although I > really > need for which inetervals in the variable this system is not an empty > space. > > Hope some nice Mathematica expert can help me. > > Cheers, > > Maurizio Lisciandra > Trinity College > Cambridge (UK) > > _________________________________________________________________ > Ricerche online più semplici e veloci con MSN Toolbar! > http://toolbar.msn.it/ > >

**Follow-Ups**:**Re: Re: System of NonLinear Inequalities***From:*"Janos D. Pinter" <jdpinter@hfx.eastlink.ca>

**References**:**System of NonLinear Inequalities***From:*"maurizio lisciandra" <lisciandra@hotmail.com>