On Sun, 2011-07-24 at 19:29 +0100, Julian Porter wrote:
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.
Well. Notation depends on branch. I've seen routinely used + as addition in Z_{2,3,...} - for example 2 + 2 = 0. For example λ have different meaning when you would say about exponential distribution/radioactive decay and different when you talk about wavelength. If you are using lambda calculus it have yet another meaning. And according to http://en.wikipedia.org/wiki/Lambda those are just 3 of many meanings. I've seen ⊕ used as binary operation when the other were already used before I learned that it may denote the direct sum. Regards