About Reduce and domains

*To*: mathgroup at smc.vnet.net*Subject*: [mg98577] About Reduce and domains*From*: olfa <olfa.mraihi at yahoo.fr>*Date*: Mon, 13 Apr 2009 03:34:05 -0400 (EDT)

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.