Sentence examples for derivation presented in from inspiring English sources

Then, the derivation presented in their monograph is described and explored in more detail.

The derivation presented in this work leads to analytical expressions for pressure drop as a function of wall permeability, channel dimension, axial position and fluid properties.

(4) I found the mathematical derivation presented in the appendix a little hard to read.

In cases where the selection indeed operates at the level of a single nucleotide the derivation presented in the manuscript is through and exhaustive.

The theoretical derivations presented in this paper are validated by both dynamic simulations and experiments on a dynamometer test bed using a 750 kW gearbox damaged during its operation while installed in a wind turbine.

Some theoretical derivations presented in the above review, as well as the validity domains of theoretical results obtained by Lee and Pyun are discussed in these comments in terms of potential step amplitude, interfacial reaction mechanism, electrode kinetics and influence of Ohmic drop.

The derivations presented in this section follow the approach presented in [13, 18].

Congruent with the main result outlined in the derivations presented in Additional file 3, the improvement in power is strongly dependent on the coefficient of variation in K i, with the largest power improvement reaching approximately 25%.

Since no specific assumptions are made regarding the nature of the operating and interruption periods, the results and derivations presented in this paper can be used to analyze the traffic metrics of most OSA networks with different MAC protocols.

As shown in the analytical power derivations presented in Additional file 3, an improvement in power for M R gluc max, P m, relative to the power for K i, P k, occurs whenever the coefficient of variation (CV) in K i evaluated at the mean glucose level is less than 1.

Monte Carlo simulation results are provided to verify the accuracy of the analytical derivations presented in Section 3. In computing the Gauss-Laguerre approximation for the outage probability (13), average bit error rate (BER) (14), and ergodic capacity (15), we choose to be 25 for and to be 30 for.