Upper and lower bounds
In mathematics, particularly in order theory, an upper bound or majorant of a subset S of some preordered set is an element of K that is greater than or equal to every element of S. Dually, a lower bound or minorant of S is defined to be an element of K that is less than or equal to every element of S. A set with an upper bound is said to be bounded from above or majorized by that bound. The terms bounded above are also used in the mathematical literature for sets that have upper bounds.
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