I am more focused on consistency since working with Sage, not because
Sage is so consistent, but rather the opposite. ;-)

Because FriCAS/Axiom attempts to strongly encourages generic
programming by polymorphism I think it is important to try to get the
name right the first time or at least as soon as possible, otherwise
we are stuck with an ever increasing number of unexpected and arcane
usages.  (Of course not that this is a particularly bad case but the
point is this sort of thing does tend to accumulate.)

Is there really no preferred *mathematical* term for this operation?

On Thu, Oct 15, 2009 at 5:16 PM, Waldek Hebisch
<[email protected]> wrote:
>> ... But should we change 'div' to 'divide' in
>> OrderedFreeMonoid or vice versa in in FreeMonoid. Given that 'divide'
>> is used in three other places to return quotient and remainder, it
>> seems to me that using 'div' might be more consistent Or maybe sense
>> we already have 'rquo' and 'lquo' in both domains, maybe simply
>> changing both 'div' and 'divide' to  'quo' would make sense?.
>>
>
> For me divide, div, quo look equally good (or bad): the operation
> is similar to division in rings, but different.  And all of them
> are used in other parts: "div" is used in OutputForm.  Given that
> I would just stick to 'divide'.
>

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