Definition:Supremum


 * Supremum of Ordered Set
 * Supremum of Subset of Real Numbers


 * Supremum of Mapping
 * Supremum of Real-Valued Function


 * Supremum of Sequence
 * Supremum of Real Sequence

Also known as
Particularly in the field of real analysis, the supremum is also known as the least upper bound.

Also defined as
Some sources refer to the supremum as being the upper bound. Using this convention, any element greater than this is not considered to be an upper bound.

Linguistic Note
The plural of supremum is suprema, although the (incorrect) form supremums can occasionally be found if you look hard enough.

Also see

 * Definition:Bounded Above
 * Definition:Upper Bound


 * Definition:Bounded Below
 * Definition:Lower Bound


 * Definition:Bounded
 * Definition:Bound


 * Definition:Infimum


 * Definition:Unbounded
 * Definition:Unbounded Above
 * Definition:Unbounded Below