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Definition 2024

hyperbolic_tangent

hyperbolic tangent

English

Noun

hyperbolic tangent ‎(plural hyperbolic tangents)

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

Translations

hyperbolic function

Finnish: hyperbolinen tangentti
Icelandic: breiðbogatangens m
Japanese: ハイパボリックタンジェント ‎(haipaborikku tanjento), 双曲正接 ‎(sōkyoku seisetsu)

Russian: гиперболи́ческий та́нгенс m ‎(giperbolíčeskij tángens)
Swedish: tangens hyperbolicus

See also