Equivalent to 'Minimum' meaning 'Closest to zero'? If we refer to the Minimum of a set of numbers, we mean the lowest number.  Min(12, 7, 18) = 7 and Min(5, -8) = -8.
Is there a technical term for the 'number closest to zero'?  e.g. where fn(5, -8) = 5 and fn(-5, 8) = -5
Similarly, what would be the opposite be (e.g 'number farthest from zero')?
I am aware that there are two solutions in some situations, e.g. fn(5, -5) and that any application of this would have to bear that in mind.  However, this question is just about whether or not there is some existing terminology for this function.
 A: For the number closest to 0, smallest absolute value, or smallest norm.
For the one farthest from 0, largest absolute value, or largest norm.
A: Note: None of the suggestions in comments or answers include references that indicate that there is an established term for this, so in the absence of anything more official I will be adopting the names described in this answer.  I would consider changing my answer if anyone is able to post any alternatives which include appropriate citations.

Thanks to various discussion in the comments, in particular a suggestion from @Blue, I eventually settled on the following terms:

*

*Absolute Minimum - In a set of numbers, the number closest to zero, regardless of sign.

*Absolute Maximum - In a set of numbers, the number furthest from zero, regardless of sign.

These fit with the standard definitions of these terms in the sense that the result is the Minimum (or Maximum) of the Absolute values for each number in the set, and therefore feels like it fits well with standard terminology.
Note that Absolute Minimum is sometimes considered synonymous with the Global Minimum for functions, for example in this Khan Academy lesson.  If you are in a situation where this might cause confusion (or in any context where you would expect to define your terms) you should advise the reader that Absolute Minimum should not be confused with Global Minimum.
