tanh
Hyperbolic function
In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions. The basic hyperbolic functions are the hyperbolic sine "sinh" ( or ), and the hyperbolic cosine "cosh" , from which are derived the hyperbolic tangent "tanh" , and so on, corresponding to the derived trigonometric functions. The inverse hyperbolic functions are the area hyperbolic sine "arsinh" (also called "asinh" or sometimes "arcsinh") and so on.

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Tanhuma
Midrash Tanhuma (Hebrew: מדרש תנחומא) is the name given to three different collections of Pentateuch haggadot; two are extant, while the third is known only through citations. These midrashim, although bearing the name of R. Tanḥuma, must not be regarded as having been written or edited by him. They were so named merely because they consist partly of homilies originating with him (this being indicated by the introductory formula "Thus began R. Tanḥuma" or "Thus preached R. Tanḥuma") and partly of homilies by haggadic teachers who followed the style of R. Tanḥuma. It is possible that R. Tanḥuma himself preserved his homilies, and that his collection was used by the editors of the midrash. The three collections were edited at different times; they will, therefore, be treated in chronological order.

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Función hiperbólica
Las funciones hiperbólicas son análogas a las funciones trigonométricas. Estas son:

El seno hiperbólico El coseno hiperbólico La tangente hiperbólica y otras líneas:
(cotangente hiperbólica)
(secante hiperbólica)
(cosecante hiperbólica)

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Fonction hyperbolique
En mathématiques, on appelle fonctions hyperboliques les fonctions cosinus hyperboliquesinus hyperbolique et tangente hyperbolique. Les noms de sinus, cosinus et tangente proviennent de leur ressemblance avec les fonctions trigonométriques (dites ) et le terme de hyperbolique provient de leur relation avec l'hyperbole d'équation .

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Tangente hyperbolique
La tangente hyperbolique est, en mathématiques, une fonction hyperbolique.

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Hyperbelfunktion
Zu den Hyperbelfunktionen gehören: abgekürzt durch sinh, cosh, tanh, coth, sech und csch.

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Tangens Hyperbolicus und Kotangens Hyperbolicus
Tangens Hyperbolicus und Kotangens Hyperbolicus sind Hyperbelfunktionen. Man nennt sie auch Hyperbeltangens oder hyperbolischen Tangens bzw. Hyperbelkotangens oder hyperbolischen Kotangens.

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Hyperbolisk funktion
Inom matematiken är de hyperboliska funktionerna nära besläktade med de trigonometriska funktionerna, vilket bland annat märks i deras namn:
• sinus hyperbolicus (sinh)
• cosinus hyperbolicus (cosh)
• tangens hyperbolicus (tanh)
• secans hyperbolicus (sech)
• cosecans hyperbolicus (csch)
• cotangens hyperbolicus (coth)

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