where s min = 2.6 Å -1 and s max = 31.8 Å -1 are the minimal and maximal values of the sM(s) in the simulated range (Fig. ). Although the conventional choice of γ = ln(10)/s 2 max is 0.002 Å 2 for s max = 31.8 Å -1 , here we took a smaller damping of γ = 0.001, which was kept throughout this section. The first dataset (ξ =theor) was reference data with the theoretical, noise-less dataset. The second dataset (ξ =sim) was on the simulated dataset, with the noise. Both these curves are compared to the analytical Eq. 28 in Fig. . One can clearly see that in addition to the expected two peaks, there is also a spurious slow background oscillation with a minimum near r = 2.5. Their source is the absence of the near-zero s region (0 ≤ s ≤ s min ), as discussed in Sec. II A. The RDF sim,num curve also has additional oscillations compared to the RDF theor,num , which are the direct result of the noise in the simulated data.