Martin Rubey <[email protected]> writes:

| Ralf Hemmecke <[email protected]> writes:
>
| >>>> 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?
| >
| > Good. Then tell me what a "ring" is. You can restrict to
| > "multiplicative monoid" if you like. To clarify what we are talking
| > about, tell me what "MartinMonoid" is and how it relates to
| > http://en.wikipedia.org/wiki/Monoid#Definition .
|
| Just that = is not computatble doesn't mean that it's not existent.

if it is not computable, how do you propose to check that the other
operations do verify ring axioms?


| Thus, associativity in MartinMonoid guarantees that
|
| (a*b)*c and a*(b*c)

how do you guarantee that?  Is i a God's act?

| will be equal, but it does not mean that FriCAS can prove this equality.

yes, but exactly how do you guarantee that?

-- Gaby

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