Notes. M_c, R_c, and T_c are the pre-stellar core mass, radius, and temperature, respectively. ρ(r) is the density as a function of radius, and E_th∕E_grav is the ratio between the thermal and the gravitational energies of the core. M_plateau and M_Jeans are the total mass in the central plateau and the local Jeans mass, respectively; their ratio gives the number of Jeans masses contained within the central plateau, as an additional measurement of the thermal support versus gravity. Ω is the solid-body rotation frequency of the core. and are the Mach number and Alfvénic Mach number, respectively. μ is the mass-to-flux ratio divided by the critical mass-to-flux ratio.