Sentence examples for the necessary assumptions from inspiring English sources

The necessary assumptions of the problem and the implementation details are presented in the next section.

At this point, we need further notations to state the necessary assumptions for the proof.

Several solid approaches to identifying mental architecture are introduced with a discussion of the necessary assumptions for these tests.

As long as the necessary assumptions are satisfied, the presented analytical method can effectively be used to predict the minimum cost cell size for cylindrical cells in crossflow.

The specificities of stadium semi-outdoor spaces are summarised and the necessary assumptions made to apply the computation procedure are described.

For sake of illustration, we restate the states of major-minor agents as follows, and give the necessary assumptions on coefficients.

A major restriction, however, was the necessary assumption of mutually incoherent sources.

Stock assessment scientists and fishery managers operate under the necessary assumption that the identities of species and quantities of catch from industry landing reports are known without error.

The necessary assumption being made is that the error ε ij is independent of individual i belonging to group j = h or j = l.

Finally, as self-reports, especially retrospective reports, can sometimes have low validity in many educational contexts (Ha et al. [2012]), the necessary assumption that the participants accurately expressed their positions is a fundamental limitation of this and similar studies.

In order not to 'abuse' the basic definition of a Markov process, the necessary assumption in our model is that the channel fading is slow enough so that the SNR remains within one SNR region over several resource allocation unit times, and thus the Markov process can only transit to the same region or to the two adjacent regions.