Map
A map, in regular temperament theory, is most commonly used to refer to a single row of a mapping, including a mapping with only one row (an ET map).
"Map" is usually synonymous with "val", except that tuning maps and keyboard maps are not vals because they may contain non-integer entries.
In mathematics generally, "map" is synonymous with "mapping" and "function". In RTT, "map" has the more specific meaning of a linear form, which is a function that can be represented by a covector, and "mapping" has the more specific meaning given here: mapping. The shorter word refers to the simpler object.