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let's look at the following functions:

Langevin function L(x)=ctgh(x)-1/x

Brillouin function B(x)=f(x J); when J→∞, then B(x)=L(x)

to which I have the following questions:

- how was the Brillouin function B(x)=f(x,J) developed?

- are there other functions with the properties of the function B - dependent on a greater number of parameters, that would allow to model more objects?

I would appreciate any help, so please do ;) greets!