infimum Definition
the greatest lower bound of a set of numbers, or the smallest number that is greater than or equal to all the numbers in the set.
Using infimum: Examples
Take a moment to familiarize yourself with how "infimum" can be used in various situations through the following examples!
Example
The infimum of the set {1, 2, 3} is 1.
Example
The infimum of the set {x | x is a positive integer and x < 5} is 1.
Example
The infimum of the set {0, 1, 2, 3, 4} is 0.
infimum Synonyms and Antonyms
Synonyms for infimum
- greatest lower bound
Origins of infimum
from Latin 'in' meaning 'not' + 'fimum' meaning 'dung'
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Summary: infimum in Brief
'Infimum' [in-fi-muh m] is a mathematical term that refers to the greatest lower bound of a set of numbers. It is the smallest number that is greater than or equal to all the numbers in the set. For example, the infimum of the set {1, 2, 3} is 1.
