supremum

noun
UK /suːˈpriːməm/
US /suːˈpriːməm/

The supremum is the smallest number that is still big enough to be at least as large as every number in a group.

The supremum of the set of numbers less than 3 is 3.


OTHER MEANINGS

2. In order theory, the least element of the set of upper bounds of a subset.

Every nonempty subset of the real numbers that is bounded above has a supremum.

3. The smallest quantity that is greater than or equal to all values in a collection.

The supremum of the sequence 1/2, 2/3, 3/4, ... is 1.

4. A formal join operation in a lattice, written as a supremum of elements.

In a lattice, the supremum of two elements is their least common upper bound.