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inf, the greatest lower bound of a set, which need not belong to the set.
Also known as: Inf, Greatest lower bound, GLB
The infimum is the largest number that nothing in the set falls below, and like the supremum it may sit outside the set. The pair sup and inf exist so that statements about bounds can be made without first proving that a maximum or minimum is attained.
Denotes the greatest lower bound of a set of real numbers.
Contexts: Mathematics
Need not be a member of the set, exactly as with the supremum; the open interval from 0 has infimum 0 and no minimum.
Contexts: Mathematics
The three lowercase letters i, n and f in roman type, followed by a set or an expression.