Am 20.03.2014 22:55, schrieb Christophe Bal:
Hello.

There is a difference between a decimal, ie a rational which can be written
N/10^P and a float. A float number is an approximation so you can't really
see it as rationals. No ?

One can see it as a rational. Then it's not a field because not all combinations of values and operations will return another float. Or one can see it as a IEEE model number (basically, an interval of rationals, plus some extra values). That's a field, but the semantics are complicated and unreliable.

See www.ucs.cam.ac.uk/docs/course-notes/unix-courses/NumericalPython/files/paper_1.pdf for a rough overview of the messy details.

Both approaches have their uses, but I'm unsure whether any of them adds value to SymPy.

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