Sentence examples for supplementary assumptions from inspiring English sources

Secondly, supplementary assumptions about Lipschitz continuity of the coefficients w.r.t.

For aspects not covered by the 3GPP recommendation (e.g., multi-hop relaying), supplementary assumptions are taken from [44].

Under some supplementary assumptions satisfied by our system, we can moreover show that there exists a stable periodic orbit [28].

Note that estimate (17) for the differential operator (A^{x}) defined by formula (4) can be proved without using coercive inequality (3) under supplementary assumption for σ.

(Interested readers may wish to read the supplementary document Background Assumptions for Plantinga's Account).

Diagnostic tests indicated no violations of the model assumptions (Supplementary Material 3 5).

For scenarios 2 4, we assumed frequency-dependent long-cycle transmission, and examined the sensitivity of our results to this assumption (Supplementary Table 1).

We aim to compute a theoretical gene frequency histograms based on the following four assumptions (see supplementary fig. S2, Supplementary Material online): The genome size is fixed.

Simulations show that the level of bias of varies considerably depending on substitution rate assumptions (see supplementary figs. S12 and S15, Supplementary Material online).

Based upon the logic above, on the structure of Fig. 2 and subsequent to biologically realistic simplifying assumptions (see supplementary Text S1) we obtained the following system of equations.

Furthermore, we have included all the underlying assumptions in Supplementary file 1.