| an element greater than or equal to all the elements in a given set: 3 and 4 are upper bounds of the set consisting of 1, 2, and 3. Compare bound 3 (def. 4), greatest lower bound, least upper bound, lower bound. |
| upper bound n. A number that is greater than or equal to every number in a given set of real numbers. |
| upper bound
A number that is greater than or equal to every number in a given set. |
upper bound
An upper bound of two elements x and y under some relation <= is an element z such that x <= z and y <= z.
("<=" is written in LaTeX as sqsubseteq).
See also least upper bound.
(1995-02-15)