Sentence examples for maximal then the from inspiring English sources

If Youden's index Y, i.e., true positive rate minus false positive rate, is maximal, then the classification accuracy cannot be further improved by taking a larger cutoff [ 19].

It is clear that if D has a minimal (maximal) element, then the minimal (maximal) element is unique.

They first established the sharp maximal estimates, then the end-point estimates were acquired.

If U is maximal monotone, then the solution set U-10 is closed and convex.

If is maximal monotone, then the solution set is closed and convex.

If M is maximal monotone, then the solution set M - 1 0 is closed and convex.

If A is maximal monotone, then the solution set A-10 is closed and convex.

If B is maximal monotone, then the solution set B − 1 0 is closed and convex.

We know that if U is maximal monotone, then the solution set U-1 0 = {x ∈ D(U) : 0 ∈ Ux} is closed and convex.

By Rockafellar's result [6], if is maximal monotone, then the resolvent of is a mapping of onto ; see [4, 36] for more details.

Note that if f has the orbital shadowing property on a locally maximal Λ, then the shadowing point can be taken from Λ. Lemma 3.2 Suppose that f has the C 1 -stably orbitally shadowing property on Λ.