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Re: algebraic numbers
Posted:
Dec 30, 2009 4:14 AM


"Andre Hautot" <ahautot@ulg.ac.be> ha scritto nel messaggio news:hhc7a1$2o2$1@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 xN.
If you add a figure to N, let say ......9891, you will get a different polynomial.
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