Sentence examples for assumptions are required from inspiring English sources

No further assumptions are required to simulate the periodic patterns of digestion obtained with various nucleases.

Sensitivity analyses are an important part of conducting causal mediation analyses since strong assumptions are required to obtain natural effects.

However, various sufficient conditions and assumptions are required to ensure the relaxation exactness in the existing literatures.

The most distinct aspect of this method is that no prescribed assumptions are required, and the huge computational exertion is reduced and round-off errors are also evaded.

Since apart from smoothness no other (parametric) assumptions are required, our approach is based on a comparison of nonparametric estimators ˆm1 and ˆm2 of m1 and m2, respectively.

In both these analyses many assumptions are required with varying degrees of uncertainty; here, those assumptions are examined with data from the published literature.

Complying with model assumptions is required for model-based methods to result in reliable estimates.

While this study shows that previous inferences of fertilization success from paternity data are valid for this species, rigorous testing of these assumptions is required to ensure that differential embryonic mortality does not confound estimations of true fertilization success.

However, assumptions were required for certain parameters in the model.

However a different set of assumptions is required.

The following assumptions were required for the cost-effectiveness analysis: 1.