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We reiterate here that the last lines of each of (2),(6) and (10) include the collection of terms, significantly cutting down on computing time when these formulae are implemented, especially in the case of (10).

Furthermore, Jossi Stief Thodos empirical formulae was implemented to compute the value of viscosity under the reservoir conditions, while Yoon Thodos–Herning empirical correlation was utilized for lower pressures (Graboski and Daubert 1978).

The system generates another random value (based on uniform distribution) and if this value is less than 5% of DNA methylation value (from previous iteration), the formula is implemented.

The LAD regression algorithm used for developing the LAD-based severity score formula was implemented by the authors and a public version of it is currently being prepared.

The formulas can be implemented as a matrix vector multiplication.

The obtained formulas can be implemented in common numerical codes to further analyze mollusk stability, bedload transport and dispersal in their aquatic systems.

The initial local buckling and effective width formulas can be implemented in numerical techniques to account for local buckling effects on the responses of rectangular thin-walled CFST columns at elevated temperatures.

Generating a lamellar representative volume element (RVE) with 10×10×10μ m 3, Fig. 7, all the necessary incremental formulas have been implemented in the UMAT (user material) subroutine from the commercial finite element software package ABAQUS Standard.

This explicit, linear FVA sym formula can be implemented by standard (non-nested) Monte Carlo simulations.

Radon's inversion formula has been implemented numerically using the filtered backprojection algorithm which is used today in CT scans.

It will be shown that this combination formula can be implemented in such a way that statistical dependence between the load effect components can be taken into account.

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