a) Assumed occurrence probability functions φ(α) of the differential rotation parameter α with aα = 4.5; α0< 0 (blue curves), α0 = 0 (black curve), α0> 0 (red curves). b) Idem as in a), but for aα = 250.0. a’) Occurrence probability functions π(δ) of the differential rotation parameter δ with aα = 4.5 for different values of α0 and true velocity ratios u. b’) Idem as in a’), but for aα = 250.0. a”) Distributions Ψ(v) of the equatorial velocity ratios v = V/Vc, where v is now affected by the differential rotation according to the distributions φ(α) of the parameter α given in a). b”) Idem as in a”), but for φ(α) shown in b). In a”) and b”) is also shown the assumed distribution Φ(ueq) (magenta crosses).
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