Re: About Reduce and domains
- To: mathgroup at smc.vnet.net
- Subject: [mg98798] Re: About Reduce and domains
- From: olfa <olfa.mraihi at yahoo.fr>
- Date: Mon, 20 Apr 2009 01:27:22 -0400 (EDT)
- References: <grupt9$s5$1@smc.vnet.net> <gs6p5p$gmb$1@smc.vnet.net>
On 16 avr, 10:10, dh <d... at metrohm.com> wrote: > Hi, > > if you want something like x>0... then you specify a domain implicitly. > > For a complex number x>0 does not make much sense. > > Note that you may also specify the domain of some variables in the first > > argument of Reduce: > > Reduce[{..,Element[{x,y},Reals],..}] > > Daniel > > > > olfa wrote: > > Hi Mathematica community, > > > I remarqued in many outputs with reduce, that mathematica treats some > > parameters as complexe numbers and consequently distinguich between Re > > part and Im part: > > For example: > > (Re[d]<0&&Re[a]<0&& ...) || (Re[d]<0&&Re[a]==0&&Im[a]<0&& ...) || (= Re > > [d]<0&&Re[a]==0&&Im[a]>0&&...) || (Re[d]<0&&Re[a]>0&&...) || (Re[d] > > ==0&&Im[d]<0&&Re[a]<0&&...) ||... > > > In the help I have read that Reduce[expr,vars] assumes by default that > > quantities appearing algebraically in inequalities are real, while all > > other quantities are complex. > > > But is there a mean to force mathematica in the way that it does not > > distinguich between real part and imaginary part in the output and > > consequently to have: d<0 && a<0 ...|| d==0 && a>0 || ...without > > specifying a domain which means without Reduce[expr,vars,doms]? > > > Thank you very much.- Masquer le texte des messages pr=E9c=E9dents - > > - Afficher le texte des messages pr=E9c=E9dents - Hi daniel, the problem is that I dont know in advance which variables should I put in Element because it depends on which variables mathematica treat as complexe in the output. so how to deal with that?