hyperbolic tangent

Noun

Meaning

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}}}}

Source: en.wiktionary.org

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