synthpop.modules.initial_mass_function.kroupa
=============================================

.. py:module:: synthpop.modules.initial_mass_function.kroupa

.. autoapi-nested-parse::

   Initial mass function from Kroupa (2001):
       
       For 0.01 < M ≤ 0.08:    ξ(M) ∝ M^(-0.3)
       
       For 0.08 < M ≤ 0.50:    ξ(M) ∝ M^(-1.3)
       
       For 0.50 < M:           ξ(M) ∝ M^(-2.3)



Classes
-------

.. autoapisummary::

   synthpop.modules.initial_mass_function.kroupa.Kroupa


Module Contents
---------------

.. py:class:: Kroupa(min_mass=None, max_mass=None, **kwargs)

   Bases: :py:obj:`synthpop.modules.initial_mass_function._initial_mass_function.InitialMassFunction`


   IMF from Kroupa (2001)


   .. py:attribute:: imf_name
      :value: 'Kroupa'



   .. py:method:: imf(m_in)

      Initial mass function

      Parameters
      ----------
      m_in: initial mass

      Returns
      -------
      prob: probability at the initial mass




   .. py:method:: F_imf(m_in)

      Integral of the initial mass function from 0 to m_in

      Parameters
      ----------
      m_in: initial mass

      Returns
      -------
      F: integral




   .. py:method:: F_imf_inverse(p_in)

      Inverse of F_imf

      Parameters
      ----------
      p_in : cumulative likelihood

      Returns
      -------
      met



   .. py:attribute:: grid_max
      :value: 10000



   .. py:attribute:: grid_min
      :value: 0