infimum


Also found in: Dictionary, Acronyms, Wikipedia.

infimum

[′in·fə·məm]
(mathematics)

infimum

References in periodicals archive ?
23 We implicitly assume that a positive infimum in Equation 18 exists.
Taking the infimum over [lambda] [member of] K in (?
For any two probability measures P and Q in M(S'), the Prohorov metric is defined as the infimum of those positive [epsilon] for which the inequalities Q(b) [less than or equal to] P([b.
In other words, h reaches its infimum where the function g([Rho]) [equivalent to] h(b = [[Rho].
It is also a lattice for this order, the infimum and supremum being taken entrywise: max[(X, Y).
where the infimum is taken over all decompositions of f of the form (2).
where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and the infimum is taken over all countable collection ([I.
where [disconjunction] if the supremum (or maximum) operator and [conjunction] the infimum (minimum) operator and B(x) is the structuring element centered at point x.
From the lemma this infimum is maximized by choosing x = 0.
This structure was used implicitely by Giraudo for constructing the Baxter Hopf algebra from the Baxter monoid as the infimum of the sylvester monoid and its image under SchUtzenberger involution.
Exchanging infimum and supremum in the last formula can easily be justified with standard methods in convex analysis; cf.