# Definitions for **upper bound**

### This page provides all possible meanings and translations of the word **upper bound**

### Princeton's WordNet

upper bound(noun)

(mathematics) a number equal to or greater than any other number in a given set

### Freebase

Upper and lower bounds

In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set is an element of K which is greater than or equal to every element of S. The term lower bound is defined dually as an element of K which is less than or equal to every element of S. A set with an upper bound is said to be bounded from above by that bound, a set with a lower bound is said to be bounded from below by that bound. The terms bounded above are also used in the mathematical literature for sets that have upper bounds.

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"upper bound." *Definitions.net.* STANDS4 LLC, 2014. Web. 23 Aug. 2014. <http://www.definitions.net/definition/upper bound>.