x_{1} (li) is an extremal bound (supremum/infimum/possibly-unattained extremum (loose sense in English)/asymptote (one sense)/best possible bound (one sense)) on set x_{2} (set) in direction x_{3} (li) in ordered structure x_{4}; x_{1} bounds x_{2} tightly/maximally-strongly from the x_{3} side in x_{4}; x_{2} is bounded from the x_{3} side by x_{1} and any other bound on that side is worse than is x_{1}.

x_{1} need not be finite.
Many of the notes to zmaumce apply to this word, with minor appropriate edits. praperi modifying this word means that x_{2} does not contain x_{1}. If x_{1} does indeed belong to x_{2}, then x_{1} is an attained extremum (maximum, minimum, vel sim.) of x_{2}. The possible values of x_{1}, and its existence at all, depends delicately on x_{4}. This word allows for easy vagueness about which extremal bound is to be used. See also: mecraizmana'u (partial near-synonym), zmaraimecna'u (partial near-synonym).

- jventrajmaumce
- x
_{1}is an eventual extremal bound/asymptote (one sense)/limsup (limit superior/limit supremum)/liminf (limit inferior/limit infimum) of x_{2}(set, or ordered pair of a sequence or a function as the first term and the dummy variable (/input (slot)) thereof being considered as the (sometimes elidable) second term) in direction x_{3}(li) in ordered structure x_{4}.