MIGRAD and PT were able to find similarly good values, with the smallest minima of the cost function being around 20.
For our analysis we use the double gradient model (Erkaev et al., 2009) of the flapping oscillations, which predicts a small minimum of the total pressure (gas plus magnetic) across the current layer.
At Ancon (ANC), ΔH showed close daily peaks and ΔZ showed small minimum on any of the days, characteristic of an EEJ station slightly north of the dip equator.
An element u ∈ K is called a best ordered approximation of f on K, if it satisfies d X ( u, f ( u ) ) = min { d X ( s, f ( u ) ) : s ∈ K }, where min { d X ( s, f ( u ) ) : s ∈ K } is the smallest (minimum) element of the set { d X ( s, f ( u ) ) : s ∈ K } with respect to the ordering ≽ X on X.
This result is somewhat surprising given that NCEP-R have the largest, and MERRA and CFSR the smallest minimum scale of the reanalyses.
This kind of smaller minima of the curves of mean GSE Bz during the antiparallel years indicate that the ICMEs may have much stronger negative GSE Bz values during these years.
Nevertheless, our models should have been able to capture at least some of any small-scale correlation structure, given that distances between some of the sampled residences were small (minimum distances of 8, 64, and 174 m in Chicago, St .Paul, and Winston-Salem, respectively).
Only a small minimum amount of graphene oxide is necessary to interconnect the graphene sheets throughout the carbon xerogel.
For that reason, no cross-validation method was used and we allowed small minimum numbers of subjects in the child nodes.
Moreover, if the field F = ℝ, it is clear that there is a positive integer u such that for each integer v ≥ u, the set {n : f(n) = v} is a singleton, meaning that only finitely many eigenvalues λ n of L have multiplicity greater than 1, and, if any exist, they must all lie between the largest local maximum and the smallest local minimum of f.
