upper bound

noun, Mathematics
1.
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 bound3 (def 4), greatest lower bound, least upper bound, lower bound.
upper bound in Science
upper bound  
A number that is greater than or equal to every number in a given set.
upper bound in Technology


An upper bound of two elements x and y under some relation <= is="" an="" element="" z="" such="" that="" x="" <="z" and="" y="" ("<=" is="" written="" in="" LaTeX as \sqsubseteq).
See also least upper bound.
(1995-02-15)