Sentence examples for derive a result from inspiring English sources

Before showing the property in Theorem 3.3, we first derive a result of G-preinvex functions.

For the Galerkin approximation of the control system considered, we derive a result on stabilization of the equilibrium.

From Theorem 3.1 we shall now derive a result for CAT ( 0 ) spaces which can also be found in [24].

From Theorem 3.1 we shall now derive a result for a (operatorname{CAT}(0)) space as follows.

The following corollary shows that how we derive a result for CAT ( 0 ) spaces from Theorem 3.1.

As an application, we derive a result on the existence of a maximal element and an almost coincidence point theorem in hyperconvex spaces.

ROC analysis was subsequently undertaken to derive a resulting C statistic.

Within birds, our results confirm the chicken as basal and sister to the Neoaves (all other birds), with the passerines (Passerida) as monophyletic and most derived, a result congruent with recent molecular studies [ 37, 48].

As a consequence of Theorem 3.1, we derive a new result for a lower semi-continuous random operator.

Employing a different technique, we are also able to derive a convergence result over the whole positive time axis motivated by a similar result in [32].

Sham et al. [ 2000] derive a similar result relating variance components in models of quantitative traits; our derivation here relates parameters in models of case-control data.