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Fig. 1

image

Normalization of the spherical kernel (Eq. (3)) as a function of the 3D radius r for three choices of binning in r and discretized values of s1 and s2. In red for a linear binning of Δr = 1; in blue for a linear binning of Δr = 3 and in green for a linear binning of Δr = 5. These normalizations are compared to the results of Eq. (3) in the case of continuous values of s1 and s2, in black. For better visibility, the normalizations for Δr = 1 and Δr = 3 have been multiplied by 100 and 10, respectively.

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