Sentence examples for approximation to apply from inspiring English sources

We then use this approximation to apply boundary conditions by defining incoming characteristic waves at the domain boundary.

General equations for emergence angle, stream dispersion, pressure drop, and for throughput of a two-component feed are derived assuming linear partition isotherms and operation near enough to equilibrium for Giddings' approximations to apply.

Fig. 6 Comparison of the joint PDF approximation tests showing the bias in P FA due to the joint PDF approximation (Erlang approximation and Normal approximation to (27)) applied to (26), when the empirical histogram obtained from Monte Caro integration is taken as reference.

Inequalities (4.23) and (4.25) fulfill the condition of -harmonic approximation lemma, which allow us to apply Lemma 2.2.

An analytical solution for complex nonlinear ODE integration problems does not exist in general: One has to apply numerical approximation methods for ODE integration.

The norm-conserving pseudopotential was the first successful method to apply these approximations in a fully ab initio way.

Since the yield condition for frame structures is non-linear, piecewise linear approximations are needed in order to apply linear optimization methods.

As an important byproduct, the FMCI technique allows the normal and Poisson approximations to be applied in more cases, for example, the distribution of compound patterns and patterns in Markov dependent trials.

Since we use the thin element approximation to process surfaces and apply ABCD matrices to propagate light in free space, our propagation operators are paraxial.

This is due to approximations applied in order to link cubic parabola to an arc [1].

For the multiple alignment of more than two data files, the center-star approximation is applied to select a reference among input files to align to.