Sentence examples for use the solutions from inspiring English sources

It was later discovered that it is possible to use the solutions for the 1/r5 Maxwell model as a starting point and then calculate successive corrections for more general interactions.

Proof To prove, we use the solutions of (7) and (8).

Integrals are often included in the solution expressions, which may limit the practitioners to use the solutions.

Then integrate (5)–(7) with (rho(0)=varPhi (0)=varPsi(0)=0) and use the solutions (rho(t),varPhi(t)) and (varPsi(t)) to reconstruct ({theta_{k}(t)}) using (4).

The new method has the following properties: it is simple to implement and requires little modification of existing code to use; the solutions achieved as a result of using these methods prove to be accurate; and, the stability of the numerical methods is affected minimally.

where a, b and c are constants, we will use the solutions H ( z ) = − b 2 a − θ 2 a tanh [ 1 2 θ ( z + C ) ]. and H ( z ) = − b 2 a − θ 2 a tanh ( 1 2 θ z ) + sech ( θ z 2 ) C cosh ( θ z 2 ) − 2 a θ sinh ( θ z 2 ), where θ 2 = b 2 − 4 a c > 0 and C is a constant of integration.

In each step we use the solution of the previous problem to solve the next one.

We use the solution presented in Section 4 as the optimal association control algorithm.

Girgin et al. [6] proposed two ways to use the solution of this LP problem: 1.

Despite these recent acknowledgments, the U.S. seems reluctant to use the solution for this festering problem.

To achieve a good solution, we run the training algorithm several times and use the solution with the best objective function as the final solution of the model.