hyperbolic function
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hyperbolic function

In mathematics, one of a set of functions related to the hyperbola in the same way the trigonometric functions relate to the circle. They are the hyperbolic sine, cosine, tangent, secant, cotangent, and cosecant (written “sinh,” “cosh,” etc.). The hyperbolic equivalent of the fundamental trigonometric identity is cosh²z − sinh²z = 1. The hyperbolic sine and cosine, particularly useful for finding special types of integrals, can be defined in terms of exponential functions:

sinhx = (e^x − e^−x) ÷ 2 and coshx = (e^x + e^−x) ÷ 2

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No references found			Other subjects examined include the Plancherel measure on shifted Young diagrams, results and problems in enveloping algebras arising from quantum groups, asymptotic behavior in the time synchronization model, stable densities and operators of fractional differentiation, and the distribution of ergodic sums for hyperbolic maps. Representation theory, dynamical systems, and asymptotic combinatorics by SciTech Book News			HyperBase hyperbilirubinemia Hyperbola Hyperbole hyperbolic hyperbolic amplitude hyperbolic antenna hyperbolic cosecant hyperbolic cosine hyperbolic cotangent hyperbolic cylinder hyperbolic decline hyperbolic differential equation hyperbolic distance hyperbolic Dovap hyperbolic fix hyperbolic flareout hyperbolic form hyperbolic function Hyperbolic Functions hyperbolic geometry hyperbolic guidance hyperbolic horn hyperbolic line of position hyperbolic logarithm Hyperbolic map hyperbolic navigation hyperbolic orbit hyperbolic paraboloid hyperbolic paraboloid roof hyperbolic plane hyperbolic point hyperbolic Riemann surface hyperbolic secant hyperbolic sine hyperbolic space hyperbolic spiral hyperbolic sweep generator hyperbolic tangent hyperbolic trajectory hyperbolic type hyperbolic waveform hyperboloid hyperboloid of one sheet hyperboloid of revolution hyperboloid of two sheets Hyperboloids Hyperborean Platform Hyperboreans hyperbrachycephalic hyperbrachycranial			Hyperbolic cosine Hyperbolic cosine Hyperbolic cotangent Hyperbolic cotangent Hyperbolic cotangent Hyperbolic curve Hyperbolic curve hyperbolic cylinder hyperbolic decline hyperbolic differential equation hyperbolic distance hyperbolic Dovap hyperbolic fix hyperbolic flareout hyperbolic form hyperbolic function hyperbolic function Hyperbolic functions Hyperbolic functions hyperbolic geometry hyperbolic geometry hyperbolic guidance Hyperbolic Horn Hyperbolic Horn Hyperbolic In-Air Tracking System Hyperbolic inverse functions hyperbolic line of position Hyperbolic logarithm Hyperbolic logarithm Hyperbolic logarithm Hyperbolic map Hyperbolic Multi-Dimensional Scaling hyperbolic navigation hyperbolic navigation system Hyperbolic orbit hyperbolic paraboloid hyperbolic paraboloid hyperbolic paraboloid roof Hyperbolic plane Hyperbolic plane hyperbolic point Hyperbolic polar sine Hyperbolic polar sine Hyperbolic Retarding Potential Analyzer hyperbolic Riemann surface Hyperbolic secant Hyperbolic secant Hyperbolic secant Hyperbolic Self-Organizing Map Hyperbolic sin Hyperbolic sin Hyperbolic sine Hyperbolic sine Hyperbolic sinusoid Hyperbolic sinusoid Hyperbolic space Hyperbolic spiral Hyperbolic spiral hyperbolic sweep generator Hyperbolic tangent Hyperbolic tangent

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hyperbolic function (redirected from Hyperbolic map)

hyperbolic function

hyperbolic function
(redirected from Hyperbolic map)