Nonlinear dynamic analyses were run to generate the response database for the FFTT system and the reliability index was calculated using second-order reliability methods.
The fit of these two models to the observed data was calculated using second-order Akaike information criterion scores (AICc, Burnham and Anderson 1998).
This is a common approach when the actual distribution of the parameter is unknown, but three parameters (minimum, maximum and some modal value) are known or can be guessed.> -wrap-foot> a Salaries and costs are indicated in USD Results of both scenarios were calculated using second-order Monte Carlo simulations.
Degradation half-lives were calculated using first-order rate kinetics, using a natural log (ln) scale (Vosper et al., 2007).
Its main inputs are sets of second- and third-order interatomic force constants, which can be calculated using third-party ab-initio packages.
A full set of second-order elastic constants, bulk modulus, shear modulus, and Young's modulus were calculated using first-principles calculations.
(17) The smallest eigenvalue (omega_{1}') of (H_{2}) can be calculated using the first-order time-independent perturbation theory for non-degenerate system.
(Ho and McKay 1999): frac{t}{{q_{t} }}, = frac{1}{{k_{2} q_{text{e}}^{2} }}, + frac{t}{{q_{t} }} (4 where q e (mg/g), the equilibrium adsorption capacity and K 2 (g/mg min), the second order constants can be calculated using the slope and intercept of the linear fit of the plot t/q t versus t (Fig. 5).
Murnaghan's third order elastic constants could be calculated using the obtained coefficients α ij.
First order conversion can ordinarily be calculated using only a few terms of the analytical solution presented.
