Sentence examples for have derived for from inspiring English sources

However, this assumption is invalid because it is incorrect to neglect the first two terms, i.e., lower degree terms of Re·Pr, in the expression for the Nusselt number that Acrivos and Taylor [31] have derived for heat transfer from a spherical particle at low values of the Reynolds number.

We discuss the implications of the model we have derived for mechanisms of membrane fusion in other contexts.

Using this model, we have derived for the first time the probability distribution of the numbers of initiated cells and the probability distribution of time to cancer tumors.

In order to do so, we have derived, for each functional module as defined in GO and in KEGG, a co-expression (or coherence) index which could be used to assess the strength of its internal correlation.

This thus demonstrates how the same concepts we have derived for the linear case, can be applied also to calculations of fraction parameters for nonlinear systems, and how these fraction parameters can be used to solve other nonlinear problems.

Because it is the product δ(x) δ y) that interacts with our various weighting schemes, the formulas that we have derived for the weighted LD curve E[ a(d)] Equations 4, 6, 7, and 8 retain the same factors involving F2 distances and change only in the replacement of 2 αβe− nd with e − n d (2 α − β − − 2   var + 4   var.

In this way, they had derived for each miRNA the list of down-regulated targeted transcripts in in-vitro cell lines.

We have derived expressions for the efficiency and power output for tuned load amplifier operating on the envelope tracking technique.

In conclusion, here we have derived networks for complex diseases and complex disease genes based on GWAs, most of which have analyzed Caucasian population.

From (18) to (27) we have derived further parameters for rDCF.

Moreover, we also have derived analytical expressions for the steady-state MSD and EMSE.