Sentence examples for considering equations from inspiring English sources

Considering Equations 2, 3, and 4, the diameter of the nanofilament is as follows: D = 4 ⋅ ne ⋅ t GeO 2 π ⋅ ϵ GeO 2 ⋅ Δ V (5).

By considering equations (10) and (11), the elastic strain ( {varepsilon}_z^e(t) ) is given by: {varepsilon}_z^e(t)={varepsilon}_z^{tot}(t -{varepsilon}_z^p(t -{varepsilon

Though we have always been considering equations on the interval t ∈ [ 0, 1 ], similar results as in Theorem 2.1 still hold when the interval is replaced by any general interval.

Considering Equations 810, we can find that the objective function T is influenced by P ijk directly and can influence the parking choice through the status displayed on VMS.

Considering Equations 1, 5, and 6 for any mesh node (i, j), a system of linear equations can be constructed to obtain the relationship between ϕ and Iexternal for any mesh node.

(ii) Considering equations (3.4), (3.5), (3.17), and (3.19), we can obtain better numerical results by the Richardson extrapolation or the Romberg extrapolation method just like the above item (i).

It can be easily obtained by considering equation (16).

Proof: This is directly obtained by considering Equation (2).

First, consider equations of the form (6..1).

We consider equations involving the one-dimensional p-Laplacian.

Lemmas 2.4 and 2.7 give representations of solutions of the considered equations.