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We also calculate the differential capacitance in a slab using the linear response theory.
A modified hybrid approach using the linear response surface method (RSM) to locate the design point and the artificial neural network (ANN) to approximate the actual limit state surface (LSS) is suggested to be used in the system reliability analysis for problems where closed-form solutions are not available.
The total Hamiltonian becomes H = H 0 + H int + H ac. By minimizing the action functional of such a Q1 D system, we get the equation of motion and consequently obtain the non-local charge conductivity using the linear response theory: (9).
An alternative, which also avoids the convergence problems inherent to FEP calculations [28], is to evaluate this correction term using the linear response approximation (LRA) [50].
To assess the role of individual residues in determining the observed regioselectivity in the hydrolysis step, we performed a quantitative analysis of the electrostatic contributions of key residues to the calculated activation barriers for hydrolysis using the linear response approximation, as outlined in previous studies (see Figure 7 A).
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The mechanical thermal noise (MTN) equivalent rotation rate (Ωn) is computed by using the linear approximation of the system response and the nonlinear "slow" system.
In the second step, these scores are used in the output layer as basis functions to regress the response using the linear activation function on the data-derived predictors, such that The architecture of a single hidden layer RBFNN with S nonlinear neurons is similar to that of the single hidden layer feed-forward neural network.
Several years of hourly daily GPS measurements of the vertical total electron content (TEC) and of the equivalent slab thickness made at different European locations are analysed by using the linear regression technique to demonstrate the response of these two ionospheric parameters to seasonal variations.
Our results did not change appreciably when using the linear dose response curves [see Supplemental Material, pp. 10 11 (http://dx.doi.org/10.1289/ehp.1103806)].
Indeed, recent free energy of binding calculations, using the extended linear response (ELR) method, performed on a series of GR-competitive inhibitors showed that the collection of polar ligands, which are preferred by GR, necessitate either a very narrowly tailored van der Waals contact surface or the ability to form a network of interstitial waters deep within the active site.
A change in the element type used, separation of the linear response region, and the termination of the analysis after ultimate failure of the structure were applied to the analysis.
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