Definition of infimum in English:

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Pronunciation: /ɪnˈfʌɪməm/


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'.

For editors and proofreaders

Line breaks: in|fi¦mum

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