A Dense Core Mass Function (DCMF, or simply Core Mass Function or CMF) is a mass-style function giving the occurring masses of Dense Cores.
They are analogous to Initial Mass Functions (IMF), and it is assumed that DCMFs, be they heuristic or theorized, must have a relation to IMFs. This relation is a topic for further theorizing.
Similarly, a Cloud Mass Function is such a function for Molecular Clouds and a Clump Mass Function is such a function for Clumps of higher density within a cloud but not considered a dense core. The density of the Interstellar Medium (ISM) is observed to show a fractal nature through a range of Magnitudes, i.e., a Power Law spectrum.