The largest quantity that is less than or equal to each of a given set or subset of quantities.
〔数〕下确界。SUPREMUM 的反义词
The opposite of supremum
Example sentencesExamples
Just as we proved that the supremum is unique, one can also show that the infimum is unique.
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.
The infimum may or may not be a member of the subset.
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.
Origin
1940s: from Latin, literally 'lowest part', neuter (used as a noun) of infimus 'lowest'.