Sentence examples for proper assumption that from inspiring English sources

It wants to see how it works as a piece of writing, on the proper assumption that in literature all effects are literary ones (that is, they are created by writers), and that even religious texts create religious effects through literary means.

This implies that is an absorbing set in, which contradicts the assumption that is proper in.

Under proper assumptions, we prove that, for (varepsilon > 0) sufficiently small, the above problem has a positive ground-state solution ({u_{varepsilon}}) by using a monotonicity trick and a new version of global compactness lemma.

We prove that, under proper assumptions, this significantly improves the convergence rate of the initial iterative method.

Besides, the prediction analysis guarantees that under the proper assumptions, collision between vehicles may not happen at any future time.

Crucially, although this approach negates both confounding and reverse causality, a number of key assumptions that demand proper understanding of the underlying biology and mathematics must be met (Didelez and Sheehan 2007; Palmer et al. 2008; Sheehan et al. 2008).

Technically when the proper assumptions are met the chi-statistic may be used to test the null hypothesis that the model fits the data.

At least, the puzzle is generated by the pair of assumptions that 'Pegasus' is a proper name and that proper names must have a reference.

Finally, the most proper assumptions and actuation conditions are determined.

We obtain gradient estimates in Orlicz spaces for weak solutions of -Harmonic Equations under the assumptions that satisfies some proper conditions and the given function satisfies some moderate growth condition.

We also emphasized the need for a better understanding of theoretical assumptions that form the foundation of proper application of statistical methods and the validity of such assumptions in the context of designed experimental settings.