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Hyperbolic Functions James McMahon Hyperbolic function - Wikipedia The hyperbolic functions represent an expansion of trigonometry beyond the circular functions Both types depend on an argument either circular angle or hyperbolic angle Hyperbolic functions - mathcentre - Mathematics resources Hyperbolic functions The hyperbolic functions have similar names to the trigonmetric functions but they are dened in terms of the exponential function Calculus I - Derivatives of Hyperbolic Trig Functions Cheat Sheets & Tables Algebra Trigonometry and Calculus cheat sheets and a variety of tables Class Notes Each class has notes available Most of the classes have Hyperbolic functions and inverses - Scarlet The argcosh function On previous graph it is easy to see that the inverse relation of cosh(x) is not a function Therefore we restrict the domain of cosh(x) to Inverse Hyperbolic Tangent -- from Wolfram MathWorld The inverse hyperbolic tangent tanh^(-1)z (Zwillinger 1995 p 481; Beyer 1987 p 181) sometimes called the area hyperbolic tangent (Harris and Stocker 1998 p 267 Hyperbolic Tangent -- from Wolfram MathWorld REFERENCES: Abramowitz M and Stegun I A (Eds) "Hyperbolic Functions" 45 in Handbook of Mathematical Functions with Formulas Graphs and Mathematical Complex Hyperbolic Functions - Suitcase of Dreams Complex hyperbolic functions Connection between complex hyperbolic and complex trigonometric functions Complex analysis Free tutorial and lessons Mathematical Hyperbolic Functions The hyperbolic functions enjoy properties similar to the trigonometric functions; their definitions though are much more straightforward: Here are their graphs: the Inverse hyperbolic function - Wikipedia In mathematics the inverse hyperbolic functions are the inverse functions of the hyperbolic functions For a given value of a hyperbolic function the corresponding Hyperbolic Discount Functions - Approaching the Limits While banks use a linear discount rate (expressed as a percentage) there is strong evidence that human beings use a more complex function that comes from different
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