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Murnaghan's third order elastic constants could be calculated using the obtained coefficients α ij.
As shown in the previous section, modeling the thickness of a layer of coating using the obtained coefficients shows that both the KM and LB models succeed in finding realistic and similar coating thicknesses, but only at certain wavelengths.
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We then acquired temperatures at discretized depths using the obtained coefficient, where the vertical interval was 3 15 m, depending on the horizontal distance.
Further, the obtained coefficients are used in conjunction with the (linear) design spectrum to estimate the peak response of the original nonlinear systems.
Using the Eq. (37), we get the self-diffusion coefficient D. Using the obtained value of D in the equation to have a new value of (varLambda), and by solving the cubic equation, we get the velocity auto-correlation function D t).
Second-order polynomial models for TPC, FRAP and DPPH were build by using the coefficients obtained from regression analysis.
An index was created using the coefficients obtained from a collective multiple Cox regression.
In the second step, the eight sub-dimensions were aggregated using the coefficients obtained by principal components analysis.
The two risk scores were calculated for each individual with no missing values by using the coefficients obtained from Cox proportional hazard models of all cause mortality with the above variables.
The results of the front tracking model are used to obtain coefficients for the drag, virtual mass and lift forces that are required in the Euler Lagrange model used to study the behavior of dispersed gas liquid flow on a larger scale.
These are the probabilities under the logistic model, computed using the fitted coefficients obtained at the last iteration of the optimisation algorithm.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com