> > "Can We Trust Computer Algebra Systems?" > If anyone bothers of my opinion: no.
Jakob Am Freitag, 24. Oktober 2014 18:45:39 UTC+2 schrieb Jakob Kroeker: > > > It was fun to read that the day after reading that M-ma gets some >> small integer determinants wrong! >> > > Of course, and now what? > Does Sage a better job? # (attention, I'm needling and trolling): > > Sage even fails to compute minimal associated primes of the unit ideal > correctly: > > R.<x,y> = QQ[x,y]; > I = Ideal(R(1)); > I.minimal_associated_primes() > #[Ideal (1) of Multivariate Polynomial Ring in x, y over Rational Field] > > Sage did make progress in improving the QA in comparison to others. > Still, in my opinion Sage has to to improve the culture of QA even > more, increase > the sensivity to missed special cases > and maybe spread this quality assurance culture among the other groups , > e.g. to those who develop packages which are used by Sage. > > > Jakob > > Am Freitag, 24. Oktober 2014 18:21:43 UTC+2 schrieb John Cremona: >> >> To quote from a posting today to the nmbrthry mailing list: >> >> "Here I report my related discovery concerning zeta(3) involving the >> harmonic numbers >> >> H(n) = Sum_{k=1}^n 1/k (n = 1,2,3,...). >> >> On October 22, 2014 I found that >> >> zeta(3) = Sum_{k>0} (3*H(k)-1/k)/(k^2*binom(2k,k)) >> . (1) >> >> Via the Mathematica command >> >> >> FullSimplify[Sum[(3*HarmonicNumber[k]-1/k)/(k^2*Binomial[2k,k]),{k,1,Infinity}]], >> >> >> >> Mathematica 9 could yield the desired result zeta(3) half an hour later. >> So, (1) does have a proof." >> >> It was fun to read that the day after reading that M-ma gets some >> small integer determinants wrong! >> >> John >> >> On 24 October 2014 17:16, Jori Mantysalo <jori.ma...@uta.fi> wrote: >> > On Fri, 24 Oct 2014, Jakob Kroeker wrote: >> > >> >> Does Sage warn somehow the user if a user calls a function which is >> >> *known* to be buggy? >> > >> > >> > Sometimes, but for example >> > >> > On Fri, 24 Oct 2014, Jean-Pierre Flori wrote: >> > >> >> We're stuck at http://trac.sagemath.org/ticket/17184. >> >> I've also posted on Singular forum: >> > >> > >> > I know that Singular versions 3.x has a heisenbug, it stucks sometimes >> when >> > factoring multivariate polynomials over rationals. There is no warning >> > message. >> > >> > (But of course user do not get wrong answer, if there is no answer at >> all.) >> > >> > -- >> > Jori Mäntysalo >> > >> > >> > -- >> > You received this message because you are subscribed to the Google >> Groups >> > "sage-devel" group. >> > To unsubscribe from this group and stop receiving emails from it, send >> an >> > email to sage-devel+...@googlegroups.com. >> > To post to this group, send email to sage-...@googlegroups.com. >> > Visit this group at http://groups.google.com/group/sage-devel. >> > For more options, visit https://groups.google.com/d/optout. >> > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.