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Re: algebraic numbers

• To: mathgroup at smc.vnet.net
• Subject: [mg106308] Re: algebraic numbers
• From: Noqsi <jpd at noqsi.com>
• Date: Fri, 8 Jan 2010 04:13:51 -0500 (EST)
• References: <200912290620.BAA02732@smc.vnet.net> <hhpl0g$9l1$1@smc.vnet.net>

On Jan 7, 12:29 am, DrMajorBob <btre... at austin.rr.com> wrote:
> > Bobby, you're looking at how machine reals are *encoded*, and a
> > *subset* of them is encoded as if they were precise rationals, as you
> > say. But what matters is how they *behave*.
>
> If RootApproximant@RandomReal[] succeeds, that random number is algebraic,  
> according to Mathematica... yes or no?

Since the result of RandomReal[] represents a neighborhood, success of
RootApproximant here indicates the presence of an algebraic number in
that neighborhood. Seems unremarkable to me.