Sentence examples for by using first approximation from inspiring English sources

We obtain an approximate solution of the OP diffusion reaction model by using first approximation.

A procedure for choosing the safety factor for fatigue design has been derived by using first order approximation.

By using first-order approximations of the feasible set corresponding constraint qualifications are developed.

Initial estimates were calculated for AWB weight and color demosaicing by using second-order Taylor series approximation and an SSC assumption.

Moreover, one of the main models (({mathrm {SM}}_{{Gamma }^{(1)}})) presented here is built by gradient estimates using first-order Taylor approximation (dividing by the spherical distance), on the contrary to the standard approach of estimating gradients simply with vector differences (Kotsiaros et al. 2015).

For orthogonally invariant ({mathcal {F}}), this is overcome by using a first order approximation to the tangent vector (e_1) at 0. Fixing the (x_n) coordinate in the direction of (nu ) at 0, we then replace (e_1) by the vector field begin{aligned} xi = e_1 + sum _{1le k< n}delta _knu _1 0)(x_ne_k -x_ke_n).

Modeling was done by software (STELLA II ® 9.1.4) and the data were processed using fourth-order Runge-Kutta Equation approximations that were incorporated into the software.

Thus, the approximation error approach using second order statistics can compensate the errors caused by inaccurately known background optical properties in linear DOT reconstruction.

Vibration frequency of the beam by using the first-order approximation coupling model is higher than that by using the zero-order approximation coupling model.

By using the first-order approximation of the Taylor series, (64) is linearized around x∗ as follows: g ( t ) ≈ h x ∗ + H x ( t ) − x ∗ + b ( t ), (80).

We accounted for some of the potential over-dispersion by using the second-order approximation AIC c, denoted QAIC c [ 75].