Hi Bill, On 2015-07-13, Bill Hart <goodwillh...@googlemail.com> wrote: > On Monday, 13 July 2015 19:15:40 UTC+2, Simon King wrote: >> On 2015-07-13, Nathann Cohen <nathan...@gmail.com <javascript:>> wrote: >> > sage: sqrt(2) # a symbolic ring element >> > sqrt(2) >> > sage: QQbar(sqrt(2)) # an algebraic value >> > 1.414213562373095? >> > >> > It is true that this final '?' sounds more like a '...', as if some >> additional >> > digits were hidden in a value stored as a float/double. Yet it is exact. >> > >> > How could we replace it? Ideally, that would be a 'sqrt(2)' but can we >> always >> > provide such a representation cheaply? Could we display it as 'sqrt(2)' >> at least >> > when it is free to do so? >> >> The elements of QQbar are the solutions of algebraic equations. As you >> probably know, the solutions of algebraic equations of degree > 4 can, in >> general, not be expressed that nicely. >> > > This is slightly incorrect.
For an appropriate notion of "such a representation" resp. "that nicely", my statement is correct :-) Indeed, I replied to a message that was about representation of elements of QQbar in terms of square (generally n-th) roots. Best regards, Simon -- 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.
