  We present a simple dimensional argument to illustrate the impact of
nonthermal support from turbulent velocity dispersion on the shape of the
prestellar core mass function (CMF), precursor of the stellar initial mass
function (IMF). The argument demonstrates the need to invoke such support to
recover the Salpeter slope in the high-mass part of the CMF/IMF, whereas pure
thermal support leads to a much steeper slope. This simple dimensional argument
clearly highlights the results obtained in the complete Hennebelle-Chabrier
theory of the IMF.
