Re: algebraic numbers
- To: mathgroup at smc.vnet.net
- Subject: [mg106022] Re: [mg105989] algebraic numbers
- From: Artur <grafix at csl.pl>
- Date: Wed, 30 Dec 2009 04:16:24 -0500 (EST)
- References: <200912290620.BAA02732@smc.vnet.net>
- Reply-to: grafix at csl.pl
RootApproximant[5.3823323474417620387383087344468466809530954887989] Root[576 - 960 #1^2 + 352 #1^4 - 40 #1^6 + #1^8 &, 8] If you have older version 5 you can use inspite RootApproximant function Recognize Best wishes Artur Andre Hautot pisze: > x= Sqrt[2] + Sqrt[3] + Sqrt[5] is an algebraic number > > MinimalPolynomial[Sqrt[2] + Sqrt[3] + Sqrt[5], x] > > returns the polynomial : 576 - 960 x^2 + 352 x^4 - 40 x^6 + x^8 as > expected > > Now suppose we only know the N first figures of x (N large enough), say > : N[x,50] = 5.3823323474417620387383087344468466809530954887989 > > is it possible to recognize x as a probably algebraic number and to > deduce its minimal polynomial ? > > Thanks for a hint, > ahautot > > > >
- References:
- algebraic numbers
- From: Andre Hautot <ahautot@ulg.ac.be>
- algebraic numbers