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单词 Hyperbolic Cosine
释义

Hyperbolic Cosine

The hyperbolic cosine is defined as


This function describes the shape of a hanging cable, known as the Catenary.

See also Bipolar Coordinates, Bipolar Cylindrical Coordinates, Bispherical Coordinates, Catenary,Catenoid, Chi, Conical Function, Correlation Coefficient--Gaussian BivariateDistribution, Cosine, Cubic Equation, deMoivre's Identity, Elliptic Cylindrical Coordinates, Elsasser Function, FibonacciHyperbolic Cosine, Fibonacci Hyperbolic Sine, Hyperbolic Geometry, Hyperbolic Lemniscate Function,Hyperbolic Sine, Hyperbolic Secant, Hyperbolic Tangent, Inversive Distance, Laplace'sEquation--Bipolar Coordinates, Laplace's Equation--BisphericalCoordinates, Laplace's Equation--Toroidal Coordinates, Lemniscate Function, Lorentz Group, Mathieu Differential Equation,Mehler's Bessel Function Formula, Mercator Projection, Modified Bessel Function of the First Kind,Oblate Spheroidal Coordinates, Prolate Spheroidal Coordinates, Pseudosphere, Ramanujan Cos/CoshIdentity, Sine-Gordon Equation, Surface of Revolution, Toroidal Coordinates


References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Hyperbolic Functions.'' §4.5 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 83-86, 1972.

Spanier, J. and Oldham, K. B. ``The Hyperbolic Sine and Cosine Functions.'' Ch. 28 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 263-271, 1987.


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