On 24 Jul 2011, at 19:19, KC wrote:
I like the following but again "+" denotes addition and not a general binary operation.
I personally often define the alias:
(<+>) = mappend
A lot of math books use "+" or "x" enclosed in a circle to indicate that the usual meaning of "+" nor "x" is intended for the meaning of the binary operation.
Er no. Both symbols have extremely precise meanings. $\oplus$ is the direct sum of two modules and $\otimes$ is their tensor product. Personally, I wish, given that an additive monad is a kind of monoid, that the names for the zero and addition operations for the two classes were the same. That said, I am not especially happy with mzero and madd, given that their implication, that the monoid is abelian, is generally false.
I can't figure out if this would compile, the inside "()" representing a circle.
((+)) = mappend
It would be easier for beginners to "grok".
I don't think so... but while we're at it, what's with that weird name "Monoid" anyway, let alone "Functor", "Monad", etc.? ;-)
Ivan: I had thought those were words expressing valid mathematical concepts.
In order to find similarities between apparently different operations & data one wants to reason abstractly; similar to mathematics.
-- -- Regards, KC
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