Top: asymmetry measures of the velocity v_asym and velocity dispersion σ_asym fields derived from the Monte Carlo realizations for the four objects. For each source, 150 MC simulations are run but here only the  ± 3σ results are shown. The solid red line indicates the division between class 0 (disks) and class 2 (post-coalescence mergers) at  ⟨ K_tot ⟩  = 0.135. Bottom: the probability distribution function (PDFs) as derived from MC realizations. The empirical delineation where K_lim = 0.135 can cleanly separate the two classes (i.e., K_lim area). The symbols are the same as those used before.