Sentence examples for establish the generalization from inspiring English sources

Further studies are needed in different geographical areas and in different types of healthcare settings, such as emergency departments or mental health care clinics, to establish the generalization of the results.

Let us consider certain special cases of (x_{n}-x_{n-1}) and (b_{n}-b_{n-1}), which will enable us to establish the generalizations of some sequences from DeTemple [1] and Mortici [11].

In order to establish the functional generalization of Aczél's inequality, we need the following lemma.

Combining Theorem 3.1 and Theorem 3.2, we can establish the following generalization.

It would be hazardous, though, to derive immediately from it that, for every property, its essence wholly consists of its theoretical roles as one may well object that one such thought experiment is not yet enough to establish the universal generalization that, for any pair of properties, even if we swap their theoretical roles, we won't get a truly different possible world.

Recently, Pachpatte established the following generalization of Ou-Iang-type inequality.

Recently, Jleli and Samet [35] established the following generalization of the Banach fixed point theorem in the setting of Branciari metric spaces.

Very recently Jleli et al. [1] established the following generalization of the Banach fixed point theorem in the setting of the Branciari metric space.

Now he was accustomed to showing universal truths through one sort of 'setting forth' (ekthesis), working out the thing informally in a particular case and then using universal generalization to establish the universal truth.

The existence of a positive solution of a p-Laplace-like equation with critical growth is established by the generalization to the concentration-compactness principle and the Sobolev inequality under some proper assumptions.

Results from the temporal generalization task helped establish the range of probes for the temporal expectancy task.