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Then a pointwise bound on ν ( t ) ∈ L 2 ( D ), i.e., a constant C such that | ν ( t, x ) | ≤ C for almost all x ∈ D and all t ≥ 0, are then easily obtained by an approximation argument, that is, approximating the less regular solution by solutions of higher regularity.
Supposing the neural network is approximating the output perfectly, we would have (3).
Fig. 4 Example of a typical situation in 2D: the BFR algorithm is approximating the shape of the clusters using ellipsoids parallel to the main axes.
In order to reduce the number of unknown channel parameters, a widely adopted approach is approximating the variation of the channel in the time domain with a parsimonious model, e.g., a basis expansion model (BEM).
When the size of a planet is described using its radius this is approximating the shape by a sphere.
For increasing, the threshold α0 is decreasing, reflecting that for larger the adaptive design is approximating the enrichment design.
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There may be approximated the shape of the lower eyelid edge for these points.
The best we can do is approximate the native.
The border of the patch is approximated by the convex hull of the interest points.
Here, RMSF of the protein backbone is approximated as the RMSF of the Cα atoms.
The patient volume of distribution is approximated by the water equivalent to the patient weight.
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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