Sentence examples for continuation was obtained from inspiring English sources

When the manifold M and the flow are real analytic that continuation was obtained by Rugh [228] and Fried [94].

In the EU, patients were allowed to continue study treatment with adalimumab for up to 1 additional year after achieving the age of 4 and ≥15 kg, providing time necessary to transition to medication until the local approval was obtained for treatment continuation.

Then additional existence and continuation theorems are obtained, ensuring global existence of solutions.

By using Manásevich-Mawhin's continuation theorem, some new results are obtained.

The characterization frequency equations can be obtained by continuation of the displacement and the stress.

The solutions are obtained via continuation from those calculated for the falling film case.

Good initial guesses for the nonlinear solver are obtained using continuation in the small parameter ϵ.

Then, according to Mawhin's continuation theorem, the following result is obtained with a similar process to Theorem 3.1.

This large difference is not caused by iteration numbers because we compare results while all algorithms relatively converges, and with continuation of iterations trivial improvement are obtained.

Using the continuation of N, it will be obtained that (N u_n(x_n,t_n)) rightarrow N bar{u} y,z))) when (nrightarrow infty).

Using an initial guess from the Born approximation, each update is obtained via continuation on the spatial frequency of a two-parameter family of plane waves by solving one direct problem and one adjoint problem of the Maxwell equation.