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This explanation does not conflict with previous studies, and it supports our finding that learners with better exercise scores in problem solving obtain better test scores.

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The non-linear differential equation derived from the model is solved, obtaining large stiffness variations.

A non-linear multi-objective optimal control problem is implemented and numerically solved obtaining minimal annoyance trajectories.

The generated nonlinear algebraic equation system is solved, obtaining in the process the top oil temperature, the internal and external surface temperatures and the heat dissipation distribution.

The discretized dispersive wave equation results in a nonlinear eigenvalue problem, which is solved obtaining complex axial wavenumbers for a fixed frequency using a contour integral algorithm.

By solving, we obtain the equalization weight given by (8).

Equation (15) can easily be solved to obtain : (16).

Then the integrations in (53)–(55) can be solved to obtain the results in (21a)–(21a).

These transportation problems should be solved to obtain the flow between a source and a depot.

Then, this integration can be solved to obtain the result in (29).

Equation (3) can be solved to obtain the steady state response of the medium.

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