Fig. 1.
The hyperbolic tangent (top panel, continuous blue) and the modified Heaviside (bottom panel, continuous blue) functions are sampled in the interval x ∈ [−1, 1] with 10 (red circles) and 40 (green dots) grid points. No difference between the coarser (red) samplings is visible, while this is not true for the finer (green) samplings.
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