Sentence examples for by using the extension from inspiring English sources

By using the extension principle, we can easily prove the result.

By using the extension of Mawhin's continuation theorem due to Ge, the existence of solutions is obtained, which enriches previous results.

Meanwhile Lakshmikantham et al. [13] investigated the solution of two-point boundary value problems associated with nonlinear fuzzy differential equations by using the extension principle.

However, we did compare the Blocklist data we gathered with the sites identified by our algorithm, and we were very pleased that the preferences our users expressed by using the extension are well represented.

In this paper, by using the extension of Mawhin's continuation theorem due to Ge, we study the existence of solutions for a coupled system of fractional p-Laplacian equations at resonance.

In order to verify the correctness and the feasibility of the derived conditions in the theoretical results, we will give a series of numerical examples to illustrate them by using the extension of Milstein's method (see [28]) in this section.

In the view point of (1.11), we try to study the -extension of Barnes' type Euler polynomials by using the -extension of fermionic -adic invariant integral on.

Disease extension and vasculitis activity were documented by using the Disease Extension Index (DEI) and the Birmingham Vasculitis Activity Score (BVAS) as outlined elsewhere [ 17, 18].

By using the unitary extension principle, we constructed tight framelets with desired approximation order from a given smoothed pseudo spline.

The motivation for this scenario is monitoring movement patterns of moving targets by using the camera extension of the sensor nodes.

Moreover, by using the unitary extension principle, we get the construction of tight framelets with desired approximation order based on smoothed pseudo splines.