Sentence examples for by using this solution from inspiring English sources

By using this solution method, the influence of various system parameters on the response of the beam is studied.

Hence, by using this solution and the parabolic equation, we are able to determine the unknown coefficient a ( x, t ) approximately.

Moreover, Feldman et al. pointed out that by using this solution for clustering, the update time per datum and memory of the traditional clustering algorithms can be significantly reduced.

By using this analytical solution, the deflection and bending moment profiles of a laterally loaded pile can be obtained through simple calculation.

By using this method, the solution can be obtained in bigger interval.

By using this approach, the solution conditions crossed the transition boundary perpendicular to its local slope, and the experimental accuracy improved.

By using this partition equation, closed-form solutions of energy release rates GI and GII are derived by using a global method.

Then, the equation can be integrated by using this first integral, and the exact solution of the equation can be obtained.

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.

We solve the second system by using the solution of specific dual q-integral equations.

Consequently, ŝ 1 R is obtained by using the solution ŝ 2 R in (21).