infimum

noun
UK /ɪnˈfaɪməm/
US /ɪnˈfaɪməm/

The infimum is the biggest number that is still smaller than or equal to every number in a group.

The infimum of the set of positive numbers is zero.


OTHER MEANINGS

2. In order theory, the greatest element of a set that is less than or equal to every element of a given subset.

In the poset of subsets, the infimum of two sets is their intersection.

3. The largest number that is less than or equal to all values in a collection, when such a number exists.

The infimum of the open interval (2, 5) is 2.

4. A concept in analysis describing the tightest lower limit of a sequence or function.

The infimum of the function f(x) = 1/x for x > 0 is 0.