Sentence examples for the solutions was given from inspiring English sources

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Necessary and sufficient conditions for the existence and uniqueness of the solutions was given in [4].

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The solutions are given in the form of series with easily computable terms.

Real solutions of (2.32) exist if and only if The solutions are given by (2.34).

Some sufficient conditions for global existence and finite time blow-up of the solutions are given.

The solutions are given in terms of generalized displacement components of points lying on the middle surface of the shell.

Since this model presents a highly complex problem, the solutions are given with two levels of simplification.

The solutions are given in Section 3.2.

We also carried out a bootstrapping cluster analysis to see how stable the solutions were, given the value of k identified in the preceding steps.

In the former case, the solution was given for both the optimal power allocation and pilot placement problems.

The experiment began after the solution was given twenty-four hours to absorb into the media.

The solution was given to the rats as their daily drinking water [ 19].

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