Over
The term "over" is commonly used in mathematical exposition as a synonym for "in the domain of." So, for example, "Let f be a function over the reals" means "Let f be a function f(x) defined for x in R."
See also
Domain, ElementExplore with Wolfram|Alpha
WolframAlpha
Cite this as:
Weisstein, Eric W. "Over." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Over.html