supremum

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supremum

(suːˈpriːməm)
n
the smallest quantity greater than or equal to each member of a set or subset
References in periodicals archive ?
For a C-invariant closed subset N [subset] M(X), let [[rho].sub.NSA](N) and [[bar.rho].sub.NSA](N) be the supremums of [[rho].sub.NSA](f) and [[bar.rho].sub.NSA](f) over f [member of] N respectively.
We define [rho](N) as the supremum of [rho](/) over all f [member of] N.
Taking the supremum with respect to b and R [right arrow] [infinity], we get [rho](g) [greater than or equal to](f) + [epsilon].