Sentence examples for and thus apply from inspiring English sources

The random variables and take on values in the interval as before, but we can now calculate their means and thus apply Proposition 2.2 with appropriately specified " -constraints".

Previously, with the Programme Blanc, the panel could reduce the size of individual awards so it could "select a higher number" of proposals for the same money "and thus apply a much higher success rate," Besse explains.

Parents and students may find that their tuition dollars are not being spent wisely or even ethically and thus apply somewhere else or transfer if they are already on campus.

While patients with implant-supported bridges are able to bite food with varying levels of hardness, it could be questioned whether they are able to differentiate between the hardness variations and thus apply an adapted chewing pattern [33].

We note that by our hypothesis ϵ n / λ n goes to zero, and thus apply Lemma 5 to the previous inequality to conclude that s n → 0. Case 2. ( s n ) is not eventually decreasing.

This would, for instance, allow a researcher from the humanities to have access, and thus apply the extraction machinery, to works of or about Goethe held by different research groups or even data of other disciplines.

In Malloy, we held that the Fifth Amendment's self-incrimination clause is incorporated in the due process clause of the Fourteenth Amendment and thus applies to the States.

2) Provide qualified minorities access to jobs that their network would have historically precluded them from learning about, and thus applying for.

Measurement is here understood broadly, as covering ordinal as well as cardinal relationships, and thus applies to all concepts, not just narrowly quantitative ones.

The analytical model idealizes the overlap region as a single cylindrically bent plate, and thus applies to both balanced and unbalanced joint types of various configurations.

Likewise, palladium (Pd) NPs, though not yet widely investigated, also have interesting plasmonic properties and thus applied in photo-catalysts, hydrogen-related sensing, and adsorption applications [17 19].