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The complexity of the problem dictates data integration from a variety of monitoring programs.
While the nature of the problem dictates a very large dataset with very sparse true positives, the results are quite promising.
The point-source paradigm also centers on a one-dimensional solution to the diffusion equation, but in this case the spherical symmetry of the problem dictates that the solution is carried out in a spherical coordinate system.
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Once on the manifold, the reduced problem dictates that the trajectory remains to one side of the canard separatrix.
Once on the manifold, the reduced problem dictates that the trajectory slowly approaches eq ¯ 3. Once the inhibitory current is removed, the manifold shifts back to its original position, at which point the layer problem determines that the trajectory shoots upward in the direction of positive v.
In the singular limit, the layer problem dictates that the trajectory falls to the lower branch of the critical manifold.
Since the singular trajectory base point lies within the region bound between the canard separatrix and F −, the reduced problem dictates that the trajectory evolves toward the fold curve.
a From the initial condition (IC), the layer problem dictates that the singular trajectory falls onto S a −.
Here, the layer problem dictates that the trajectory undergoes a (fast) oscillation.
The layer problem dictates that the trajectory has a base point on S a − independent of τ s.
We observe that the trajectory oscillates only once, during which the reduced problem dictates an average shift in the direction of positive w, and positive s.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com