The following
graphs are plots of a closed form analytical solution to an unresolved
quantum mechanical problem regarding magnetization of materials.
The plots are all generated by a single analytical function. In
particular, notice the closed form solution to the characteristic
Perminvar "Wasp Waist Curves". The Brillouin Function
can be derived as a special case as well as the classical hyperbolic
tangent solution. These plots represent only one axis of a 3-D
solution
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