hyperbolic function

A function that is derived from some arithmetic operations on the exponential function with base e and the inverse function, and was named after the corresponding similar trigonometric function.

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  • hyperbolic function — noun : any of a set of six functions analogous to the trigonometric functions but related to the hyperbola in a way similar to that in which trigonometric functions are related to a circle * * * Math. a function of an angle expressed as a… …   Useful english dictionary

  • hyperbolic function — hiperbolinė funkcija statusas T sritis fizika atitikmenys: angl. hyperbolic function vok. hyperbolische Funktion, f rus. гиперболическая функция, f pranc. fonction hyperbolique, f …   Fizikos terminų žodynas

  • Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …   Wikipedia

  • hyperbolic function — Math. a function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, as hyperbolic sine or hyperbolic cosine: often expressed as combinations of exponential functions …   Universalium

  • hyperbolic function — hy′perbol′ic func′tion n. math. a function of an angle expressed as a relationship between the distances from a point on a hyperbola to the origin and to the coordinate axes, as hyperbolic sine or hyperbolic cosine • Etymology: 1885–90 …   From formal English to slang

  • hyperbolic function — noun Date: circa 1890 any of a set of six functions analogous to the trigonometric functions but related to the hyperbola in a way similar to that in which the trigonometric functions are related to a circle …   New Collegiate Dictionary

  • hyperbolic function — /haɪpəˌbɒlɪk ˈfʌŋkʃən/ (say huypuh.bolik fungkshuhn) noun one of the six mathematical functions which express angles in terms of distances between points on a hyperbola; analogous to the trigonometrical ratios, they are written sinh, cosh, tanh,… …   Australian English dictionary

  • inverse hyperbolic function — noun The inverse of a hyperbolic function Syn: antihyperbolic function, arc hyperbolic function …   Wiktionary

  • arc-hyperbolic function — noun An inverse hyperbolic function …   Wiktionary

  • Inverse hyperbolic function — The inverses of the hyperbolic functions are the area hyperbolic functions. The names hint at the fact that they compute the area of a sector of the unit hyperbola x^{2} y^{2} = 1 in the same way that the inverse trigonometric functions compute… …   Wikipedia

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