[EM] Mathematical equivalence (was Re: Democracy Chronicles, introductions)

[Richard Fobes]

On 4/28/2012 9:48 AM, Kristofer Munsterhjelm wrote:
> On 04/24/2012 08:37 PM, Richard Fobes wrote:
>> In the non-mathematical world the word "equivalent" means "having
>> similar or identical effects" which allows for not _always_ being
>> _identical_ in _all_ respects. That is the context for usage in the
>> Democracy Chronicles article.
>
> A context which is overriden by prefixing the word "equivalent" with
> "mathematically".

I have recommended to Adrian a wording change that does not include the 
word "mathematical."

> Consider two functions f and g defined on the integers.
>
> f(x, y) = x + y,
>
> g(x, y) = x + y when |x-y| > 2
> = x * y otherwise.

The relationship between these two functions is not similar to the 
relationship we are discussing.