### dense core mass function

**(DCMF, CMF, core mass function)**
(function describing range of masses of dense cores)

A **dense core mass function** (**DCMF**, or simply **core mass function**
or **CMF**) is an unnormalized probability density function giving the occurring
masses of dense cores.
They are analogous to initial mass functions, and it is assumed that
DCMFs, be they heuristic or theorized, must have a relation to
IMFs. The relation between he two 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 is observed to
show a fractal nature through a range of dexes,
i.e., a power law spectrum.

Note that the term **mass function** used here
is not in the sense of a probability mass function, a function yielding
the probability that some discrete random variable takes
on a given value.

(*model,relation,clouds,mass,function,star formation*)
**Further reading:**

https://ui.adsabs.harvard.edu/abs/2008ApJ...679..552S/abstract

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