Sentence examples for use this solution to from inspiring English sources

We use this solution to calculate the exact small signalgain of the amplifier.

In Section 3, we use this solution to obtain our main result, necessary and sufficient conditions for the solvability of Inverse problem 1.

In this case, we start with some solution for F, then we calculate D R, then use this solution to update the matrix F and so on.

We use this solution to derive a priori conditions under which widely used 1-D analytical solutions with constant velocity and dispersion coefficients provide accurate approximations.

The basic idea is to construct an approximate, locally valid solution of a set of non-linear integral equations for the equilibrium Maxwell-Boltzmann distribution, and use this solution to solve the BGK equation for the velocity distribution function at cell walls.

In particular, we were able to derive a general solution to this model and use this solution to determine the time until population extinction unlike previous analyses that incorporated pollen limitation.

Schmid and Geiger (2012, 2013) and Mirzaei-Paiaman and Masihi (2013) used this solution to derive universal scaling equations for recovery by COUCSI.

7 In a related paper, Claus et al. (2014) also used this solution to investigate the influence of the barotropic mean flow on the Atlantic equatorial deep jets.

The paper by Prettenhofer [91] uses this solution to solve the problem of text classification where the source is written in one language and the target is written in a different language.

Finally, we used this solution to obtain the generating function of the incidence and therefore also obtained the dynamics of the mean, variance and skewness of the incidence of transmitted resistance (see Mathematical Details S1 section 2.4).

Meredys uses this solution to Fick's Second law to determine the displacement of each cluster at each time-step.