inverse hyperbolic function
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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
arc-hyperbolic function — noun An inverse hyperbolic function … Wiktionary
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 — noun 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. See Also: hyperbolic sine, hyperbolic cosine,… … Wiktionary
Inverse trigonometric functions — Trigonometry History Usage Functions Generalized Inverse functions Further reading … Wikipedia
Hyperbolic secant distribution — Probability distribution name =hyperbolic secant type =density pdf cdf parameters = none support =x in ( infty; +infty)! pdf =frac12 ; operatorname{sech}!left(frac{pi}{2},x ight)! cdf =frac{2}{pi} arctan!left [exp!left(frac{pi}{2},x ight) ight] ! … Wikipedia
function — /fungk sheuhn/, n. 1. the kind of action or activity proper to a person, thing, or institution; the purpose for which something is designed or exists; role. 2. any ceremonious public or social gathering or occasion. 3. a factor related to or… … Universalium
Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… … Wikipedia
Hyperbolic space — In mathematics, hyperbolic n space, denoted H n , is the maximally symmetric, simply connected, n dimensional Riemannian manifold with constant sectional curvature −1. Hyperbolic space is the principal example of a space exhibiting hyperbolic… … Wikipedia
List of integrals of arc hyperbolic functions — The following is a list of integrals (antiderivative functions) of inverse hyperbolic functions. For a complete list of integral functions, see lists of integrals.: intmathrm{arsinh},frac{x}{c},dx = x,mathrm{arsinh},frac{x}{c} sqrt{x^2+c^2}:… … Wikipedia
