Noun
hyperbolic tangent (plural hyperbolic tangents)
(mathematics) a hyperbolic function that is written in symbol tanh and defined as the following:
tanh
(
x
)
=
sinh
(
x
)
cosh
(
x
)
=
e
x
−
e
−
x
e
x
+
e
−
x
{\displaystyle \tanh(x)={\frac {\sinh(x)}{\cosh(x)}}={\frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}}}