Martin Rubey <[email protected]> writes:

| Ralf Hemmecke <[email protected]> writes:
>
| >> Float is different because nobody really expect exact answers from
| >> Float, and also because errors accumulate in complex way.
| >
| > I still wouldn't want Float to belong to Group. If some domains claim to
| > fulfill the axioms the Group imposes, then they actually should. No
| > exception.
| >
| >> For TaylorSeries some results are exact, and it is easier to control
| >>  approximation error.
| >
| > It's still not a Ring. 
|
| Hm, but when removing "=", it is a ring, no?

But, the mathematical notion of ring uses equality in a very essential way.
If you remove equality, how do you ensure that ring axioms are verified?

-- Gaby

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