Re: algebraic numbers
- To: mathgroup at smc.vnet.net
- Subject: [mg105999] Re: algebraic numbers
- From: "Francesco" <fracix at gmail.com>
- Date: Wed, 30 Dec 2009 04:12:00 -0500 (EST)
- References: <hhc7a1$2o2$1@smc.vnet.net>
"Andre Hautot" <ahautot at ulg.ac.be> ha scritto nel messaggio news:hhc7a1$2o2$1 at smc.vnet.net... > 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 ? I have the impression that in your case the MinimalPolynomial is simply x-N. If you add a figure to N, let say ......9891, you will get a different polynomial. __________ Information from ESET Smart Security, version of virus signature database 4725 (20091229) __________ The message was checked by ESET Smart Security. http://www.eset.com
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