On Oct 31, 10:31 am, Jason Grout <[EMAIL PROTECTED]> wrote:
> mabshoff wrote:
>
> > On Oct 31, 2:05 am, Ralf Hemmecke <[EMAIL PROTECTED]> wrote:
> >>> Sage is full of "fields" that aren't actually fields mathematically.
> >>> Field in Sage means "object that models a mathematical field",
> >>> but includes e.g., the "field of double precision floating point numbers",
> >>> which isn't really a field (e.g., it is finite).
>
> > Hi Ralf,
>
> >> And + is not associative...
>
> > It isn't for floats, but for "real" fields it is.
>
> Where, of course, "real" does not mean "RealField", I presume :).
>
> "real" means QQ, ZZ, etc.

Yes, "real" == fields where the mathematical definition is fulfilled.
IEEE floating point math is just crap that we have to live with :)

> Jason

Cheers,

Michael
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