mrpy.base.core.MRP

class mrpy.base.core.MRP(logm, logHs, alpha, beta, norm='pdf', log_mmin=None, rhom=83265000000.0)

An MRP object.

This class contains methods for calculating typical quantities of interest: the differential/cumulative number densities, as well as mass densities, and several types of normalisation. Also included is a pointer to underlying statistical quantities, such as mean, median, mode etc.

Parameters:

logm : array_like

Vector of log10 masses.

logHs, alpha, beta : array_like

The shape parameters of the MRP.

norm : float or string

Gives the normalisation of the MRP, lnA. If set to a float, it is directly the (log) normalisation. If set to "pdf", it will automatically render the MRP as a statistical distribution. If set to "rhom", it will yield the correct total mass density across all masses, down to M=0.

log_mmin : array_like, optional

Log-10 truncation mass of the MRP. By default is set to the minimum mass in logm.

rhom : float, optional

Mass density of the Universe. Only required if norm is set to Arhom.

Methods

__init__(logm, logHs, alpha, beta[, norm, …])
dndlog10m([log])	Return the MRP in log10 space at `m’.
dndm([log])	Return the MRP at m.
ngtm([log])	The number density greater than mmin.
rho_gtm([log])	The mass-weighted integral of the MRP, in reverse (ie.