Share this entry
infimum Line breaks: in|fi¦mum
Pronunciation: /ɪnˈfʌɪməm/

Definition of infimum in English:


The largest quantity that is less than or equal to each of a given set or subset of quantities. The opposite of supremum.
Example sentences
  • Paman's explanation looks like our present definition of infimum and supremum, but whereas our infimum and supremum given a set (of real numbers) gives a real number, the Maximinus and Minimajus of a quantity is a quantity of the same kind.
  • To ensure nondecreasing lower bounds, the hyper-rectangle to be bisected is chosen by selecting the region which contains the infimum of the minima of lower bounds.
  • The infimum may or may not be a member of the subset.


1940s: from Latin, literally 'lowest part', neuter (used as a noun) of infimus 'lowest'.

Share this entry

What do you find interesting about this word or phrase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.

Subscribe to remove adverts and access premium resources