With our formulation of [C.sub.c] complete, we turn to the energy distributions for particles governed by Boltzmann, Bose-Einstein, and Fermi-Dirac statistics.
Even more strikingly, the distribution of diversity in a system obeying Fermi-Dirac statistics only approaches that of bosonic systems at extremely high temperatures, similar to those at the core of the sun.
Thus, there is no problem with the Fermi-Dirac statistics of the [[DELTA].sup.+] baryon.
It also proves that everything is OK with the Fermi-Dirac statistics of the [[DELTA].sup.++] baryon.
It gets its name because it proposes that for every particle known to the standard model there exists a supersymmetric partner that has the same properties but obeys the opposite of the two kinds of statistical law that apply to subatomic particles, Bose-Einstein statistics and Fermi-Dirac statistics
. Many want to search for these supersymmetric partners, particularly those corresponding to particles that play important roles in the standard model.
We want to show that from this nonlinear model we may also derive the required statistics of photons and electrons that photons obey the Bose-Einstein statistics and electrons obey the Fermi-Dirac statistics. We have that W(z, z) is as an operator acting on Z.
Thus the models [W.sub.3](z, z)[W.sub.1](z, z)[Z.sub.1] and [W.sub.3](z, z)[W.sub.2](z, z)[Z.sub.2] cannot both exist and this means that electrons obey Fermi-Dirac statistics.
What Alder calls the "really deep problem" is related to the feature of quantum mechanics known as Fermi-Dirac statistics
. The importance function is a probability density.
g =1 for generalized Fermi-Dirac statistics
and g =0 for generalised Bose-Einstein statistics, then one gets the most probable distribution for g-ons :