Plot of the hyperbolic tangent. tanh(x) goes to ± 1 for x to ∓ infinity while it is approximately linear for abs(x) < 1. Appears in many places in physics, e.g. in the magnetization of an ideal paramagnet of independent spins.

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% Plot of the hyperbolic tangent. tanh(x) goes to +/- 1 for x to +\- infinity while it is approximately linear for abs(x) < 1. % Appears in many places in physics, e.g. in the magnetization of an ideal paramagnet of independent spins. \documentclass{standalone} \usepackage{pgfplots} \pgfplotsset{compat=newest} \begin{document} \begin{tikzpicture} \begin{axis}[ xlabel = $x$, ylabel = $\tanh(x)$, ymin = -1.25,ymax = 1.25, domain = -2:2, smooth,thick, axis lines = center, every tick/.style = {thick}] \addplot[color=blue]{tanh(x)}; \addplot[color=blue,dashed,domain=-1:1,thin]{x}; \end{axis} \end{tikzpicture} \end{document}

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