infimum


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infimum

(ˈɪnfɪməm)
n, pl -ma (-mə)
(Mathematics) the greatest lower bound
References in periodicals archive ?
However, due to the properties of Equation (A18) for values of the argument of In close to zero, very small increases of the cost above its infimum can buy substantial reductions of the (finite) R&D duration.
In the second case [gamma](s) [member of] [DELTA] hence s = 1, which is impossible since s is an infimum.
1) Since [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is continuous, has infimum value but no minimum value and has no upper bound in [[bar.
For more generality, we can replace the condition of closedness of T by the following condition: T is a nonempty subset of R such that every Cauchy sequence in T converges to a point of T with the possible exception of Cauchy sequences which converge to a finite infimum or finite supremum of t.
4, we find a positive bounded solution with limit infimum not less than c > 0.
This operator creates a image by an infimum reconstruction of the image f from its erosion by the structuring element bero, using the connectivity defined by the structuring element bc.
18 We implicitly assume that the infimum in Equation 13 exists.
Est igitur accipere aliquid supremum in genere corporum, scilicet corpus humanum aequaliter complexionatum, quod attingit ad infimum superioris generic; scilicet animan humanum, quae tenet ultimum gradum in genere intellectualium substantiarum.
The infimum here is taken over the components {vl} of all possible decompositions of v [member of][R.
where the infimum is over all measures on X x X such that the marginal on the first factor is [v.
Then, denoting the infimum and the supremum of f on [0, 1] with mf and MI, respectively (according to the hypotheses they are strictly positive real numbers), we get that
Meet and join are computed as supremum and infimum, respectively.