hyperbolic tangent

English

Noun

hyperbolic tangent (plural hyperbolic tangents)

1. (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)
• (deprecated template usage) {{trans-mid}}
• Russian: гиперболи́ческий та́нгенс m (giperbolíčeskij tángens)
• Swedish: tangens hyperbolicus

See also

• hyperbolic sine
• hyperbolic cosine