Sentence examples for analytical formula to from inspiring English sources

The first part of the paper deals with the improvements on the analysis with analytical formula to consider the restraining forces due to the drawbeads.

An analytical formula to evaluate the SPL was employed and good agreement was obtained between these evaluations and in situ measurements.

The objective function, derived from fluid flow in porous media and material balance principle, can be calculated by the analytical formula to avoid running reservoir numerical simulator.

Chapman et al. [ 4] used an analytical formula to predict the pullout strength of cancellous and/or cortical screws inserted into the synthetic bone.

The setup of the testing machine, jig assembly, and synthetic bone was schematically shown in Figure 2. In the literature, Chapman et al. [ 4] propose an analytical formula to predict the pullout strength of a cancellous screw within synthetic bone.

Based on the numerical results, analytical formulae to predict the pressure impulse diagram for RC column are derived.

While the former provides the physical basis for the generation of predictive results, the latter add efficiency to entire simulation process by enabling the use of analytical formulae to represent the spectral and spatial (scattering related) appearance attributes of sand.

Moreover, we provide analytical formulas to model the behaviour of the apparatus in the transient regime, keeping into account eddy current effects and the finite penetration velocity of the driving fields.

In particular, we provide analytical formulas to model the behavior of the apparatus in the transient regime, keeping into account eddy current effects and the finite penetration velocity of the driving fields.

For practical applications, relations between the third and fourth impulse times can be well approximated as polynomial functions, which enable analytical formulas to obtain fuel-optimal four-impulse solutions.

We also provide analytical formulas to estimate the number of spikes resulting from a given input train.