# Brillouin function Calculator

## Calculates the Brillouin function BJ(x).

 J is a positive integer or half-integer.If you input J as "inf", calculates the Langevin function's value.
 x J
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Brillouin\ function\ B_{J}(x)\\[10]B_{J}(x) = \frac{2J+1}{2J} \coth \left( \frac{2J+1}{2J} x \right) - \frac {1}{2J} \coth \left( \frac{1}{2J} x \right) \\[15]\normal Langevin\ function\ L(x)\\[10]\lim_{J \to \infty} B_{J}(x) = L(x) = \coth (x) - \frac {1}{x}$

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