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Hyperbolic Class

Hyperbolic functions.
Inheritance Hierarchy
SystemObject
  Altaxo.CalcHyperbolic

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
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public static class Hyperbolic

The Hyperbolic type exposes the following members.

Methods
 NameDescription
Public methodStatic memberAcosh 
Public methodStatic memberAsinh 
Public methodStatic memberAtanh 
Public methodStatic memberCosh Hyperbolic cosine, i.e. (Exp(x)+Exp(-x))/2.
Public methodStatic memberCoth Hyperbolic cotangent, i.e. Cosh(x)/Sinh(x).
Public methodStatic memberCsch Hyperbolic cosecant, i.e. 1/Sinh(x) = 2/(Exp(x)-Exp(-x)).
Public methodStatic memberCschTimesX Hyperbolic cosecant, multiplied with the argument x, i.e. x*Csch(x) = x/Sinh(x).
Public methodStatic memberExpMinusOne Calculates Exp(x)-1 with better accuracy around x=0.
Public methodStatic memberLangevin Langevin function, which is defined as Coth(x)-1/x.
Public methodStatic memberLog1p Calculates the natural logarithm of 1+x with better accuracy for very small x.
Public methodStatic memberOneMinusExp Calculates 1-Exp(x) with better accuracy around x=0.
Public methodStatic memberSech Hyperbolic cosecant, i.e. 1/Cosh(x) = 2/(Exp(x)+Exp(-x)).
Public methodStatic memberSinh Hyperbolic sine, i.e. (Exp(x)-Exp(-x))/2.
Public methodStatic memberSinhAxBxTimesCschX Calculates [Exp(a x)-Exp(b x)]/[Exp(x)-Exp(-x)].
Public methodStatic memberTanh Hyperbolic tangent, i.e. Sinh(x)/Cosh(x).
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See Also