Hyperbolic-function



noun, Mathematics.
1.
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.
noun
1.
any of a group of functions of an angle expressed as a relationship between the distances of a point on a hyperbola to the origin and to the coordinate axes. The group includes sinh (hyperbolic sine), cosh (hyperbolic cosine), tanh (hyperbolic tangent), sech (hyperbolic secant), cosech (hyperbolic cosecant), and coth (hyperbolic cotangent)
hyperbolic function
(hī’pər-bŏl’ĭk)
Any of a set of six functions related, for a real or complex variable x, to the hyperbola in a manner analogous to the relationship of the trigonometric functions to a circle, including:
a. The hyperbolic sine, defined by the equation sinh x = 1/2 (ex – e-x).

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    noun, Geometry. 1. the branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that two distinct lines may be drawn parallel to a given line through a point not on the given line.

  • Hyperbolic-paraboloid

    noun, Geometry. 1. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are hyperbolas, with its sections parallel to the other two coordinate planes being parabolas.



  • Hyperbolise

    [hahy-pur-buh-lahyz] /haɪˈpɜr bəˌlaɪz/ verb (used without object), hyperbolized, hyperbolizing. 1. to use ; exaggerate. verb (used with object), hyperbolized, hyperbolizing. 2. to represent or express with or exaggeration. /haɪˈpɜːbəˌlaɪz/ verb 1. to express (something) by means of hyperbole

  • Hyperbolised

    [hahy-pur-buh-lahyz] /haɪˈpɜr bəˌlaɪz/ verb (used without object), hyperbolized, hyperbolizing. 1. to use ; exaggerate. verb (used with object), hyperbolized, hyperbolizing. 2. to represent or express with or exaggeration. /haɪˈpɜːbəˌlaɪz/ verb 1. to express (something) by means of hyperbole



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