Although is also an upper bound, it is not the "least upper bound" and hence is not the "supremum". Source: Internet
By definition, the arc length of a curve is the least upper bound of the lengths of all polygonal approximations of the curve. Source: Internet
Consequently, the supremum is also referred to as the least upper bound (or LUB). Source: Internet
For example, the least upper bound of a bounded increasing computable sequence of computable real numbers need not be a computable real number (Bridges and Richman, 1987:58). Source: Internet
If an ordered set has the property that every nonempty subset of having an upper bound also has a least upper bound, then is said to have the least-upper-bound property. Source: Internet
Minimal upper bounds Finally, a partially ordered set may have many minimal upper bounds without having a least upper bound. Source: Internet