hyperbolic cosine

hyperbolic cosine
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  • hyperbolic cosine — noun : the hyperbolic function that is analogous to the cosine and defined by the equation cosh x = (ex + e x)/2 abbreviation cosh …   Useful english dictionary

  • hyperbolic — [hī΄pər bäl′ik] adj. [LL hyperbolicus < Gr hyperbolikos < hyperbolē: see HYPERBOLA] 1. of, having the nature of, or using hyperbole; exaggerated or exaggerating 2. of, or having the form of, a hyperbola 3. designating or of any of a set of… …   English World dictionary

  • 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 functions — ▪ mathematics also called  hyperbolic trigonometric functions        the hyperbolic sine of z (written sinh z); the hyperbolic cosine of z (cosh z); the hyperbolic tangent of z (tanh z); and the hyperbolic cosecant, secant, and cotangent of z.… …   Universalium

  • 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 — 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 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

  • 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

  • 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 — adj. Geom. of or relating to a hyperbola. Phrases and idioms: hyperbolic function a function related to a rectangular hyperbola, e.g. a hyperbolic cosine …   Useful english dictionary

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