Sentence examples for using this solution we from inspiring English sources

Using this solution, we construct the function v ( x ) which will satisfy all the conditions of problem (17 - 18).

Then, considering the initial condition (bar{N}(0)=Phi'_{3} ), we find the solution on the interval ((0,tau+0)), and using this solution as the initial conditions we obtain the next solution on the entire interval ((0,T)).

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

Shampoo your hair daily using this solution.

Avoid using this solution on clothes.

Using this analytical solution, we propose a sampling rate conversion with arbitrary conversion rate.

Using this approximate solution, we correct the right-hand side of the difference scheme.

Using this parametric solution we show that our approach leads to exact asymptotic results in some cases, which are not covered by the existing methods.

We use this solution approach in our analyses.

We use this solution as the initialization of the continuation procedure for solving ((mathcal {P}_{A})).

We use this solution to calculate the exact small signalgain of the amplifier.