Top:Gaussian Kernel Density Estimation (KDE) plot of the separation of each consecutive core pair in each of the four filaments. Each line denotes a different bandwidth Gaussian, 0.07 pc (equivalent to the beam size, in dashed blue) and 0.1 pc (derived by the standard Scott’s Rule, and equivalent to the mean core radius, in black). Black circles at N = 0.05 are overplotted to show the positions of the individual spacings in the sample. The standard deviation is 0.16 pc. Bottom: normalised, cumulative distribution of the observed core separation (black line) and the 100 000 simulated core separations (dashed red line). The bin size in both plots was set to be slightly larger than the beam at 0.1 pc in size. The verticaldotted line in both denotes the data spatial resolution of 0.07 pc, used as a cut-off of the allowed simulated spacings.
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