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			He included appendices on the D-operator methods and hyperbolic functions and ODES. Mass transfer and separation processes; principles and applications, ... by SciTech Book News It has been suggested (11) that [Tau](u) can be described by a hyperbolic function of the form [Tau](u) = ([[Tau]. Creep and physical aging of injection molded, fiber reinforced ... by Read, B.E.; Tomlins, P.E. / Polymer Engineering and Science The hyperbolic function is concave, implying slower decay during the early life of an asset and faster decay during the later years. The role of capital discards in multifactor productivity measurement by Powers, Susan G. / Monthly Labor Review			hyperadrenocorticism hyperaldosteronism hyperalgesia hyperbaric hyperbaric chamber hyperbaric medicine Hyperbaric Oxygenation 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 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			hyperbolic hyperbolic hyperbolic hyperbolic Hyperbolic 3-space hyperbolic amplitude HYperbolic and Kinetic Equations hyperbolic antenna Hyperbolic Area Coverage System Hyperbolic Congruence Hyperbolic Congruence Frequency Hopping Hyperbolic cosecant Hyperbolic cosecant Hyperbolic cosecant Hyperbolic cosine 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 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 logarithm Hyperbolic map 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

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