Hyperbolic (FsODE)

FsODE

Documentation for 0.0.2

Hyperbolic Type

Namespace: Altaxo.Calc
Assembly: AltaxoCore.Redist.dll
Base Type: obj

Hyperbolic functions.

Static members

Static member	Description
`Hyperbolic.Acosh(x)` Full Usage: `Hyperbolic.Acosh(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`Hyperbolic.Asinh(x)` Full Usage: `Hyperbolic.Asinh(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`Hyperbolic.Atanh(x)` Full Usage: `Hyperbolic.Atanh(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`Hyperbolic.Cosh(x)` Full Usage: `Hyperbolic.Cosh(x)` Parameters: x : `float` - The argument. Returns: `float` Hyperbolic cosine.	Hyperbolic cosine, i.e. (Exp(x)+Exp(-x))/2. x : `float` The argument. Returns: `float` Hyperbolic cosine.
`Hyperbolic.Coth(x)` Full Usage: `Hyperbolic.Coth(x)` Parameters: x : `float` - The argument. Returns: `float` Hyperbolic cotangent.	Hyperbolic cotangent, i.e. Cosh(x)/Sinh(x). x : `float` The argument. Returns: `float` Hyperbolic cotangent.
`Hyperbolic.Csch(x)` Full Usage: `Hyperbolic.Csch(x)` Parameters: x : `float` - The argument. Returns: `float` Hyperbolic cosecant.	Hyperbolic cosecant, i.e. 1/Sinh(x) = 2/(Exp(x)-Exp(-x)). x : `float` The argument. Returns: `float` Hyperbolic cosecant.
`Hyperbolic.CschTimesX(x)` Full Usage: `Hyperbolic.CschTimesX(x)` Parameters: x : `float` - The argument. Returns: `float` Hyperbolic cosecant, multiplied with the argument x.	Hyperbolic cosecant, multiplied with the argument x, i.e. x*Csch(x) = x/Sinh(x). x : `float` The argument. Returns: `float` Hyperbolic cosecant, multiplied with the argument x.
`Hyperbolic.ExpMinusOne(x)` Full Usage: `Hyperbolic.ExpMinusOne(x)` Parameters: x : `float` - Function argument Returns: `float` The value Exp(x)-1	Calculates Exp(x)-1 with better accuracy around x=0. x : `float` Function argument Returns: `float` The value Exp(x)-1
`Hyperbolic.Langevin(x)` Full Usage: `Hyperbolic.Langevin(x)` Parameters: x : `float` - The argument. Returns: `float` Langevin function Coth(x)-1/x.	Langevin function, which is defined as Coth(x)-1/x. x : `float` The argument. Returns: `float` Langevin function Coth(x)-1/x.
`Hyperbolic.Log1p(x)` Full Usage: `Hyperbolic.Log1p(x)` Parameters: x : `float` - The x value Returns: `float` Log(1+x) with better accuracy for very small x.	Calculates the natural logarithm of 1+x with better accuracy for very small x. x : `float` The x value Returns: `float` Log(1+x) with better accuracy for very small x.
`Hyperbolic.OneMinusExp(x)` Full Usage: `Hyperbolic.OneMinusExp(x)` Parameters: x : `float` - Function argument Returns: `float` The value 1-Exp(x)	Calculates 1-Exp(x) with better accuracy around x=0. x : `float` Function argument Returns: `float` The value 1-Exp(x)
`Hyperbolic.Sech(x)` Full Usage: `Hyperbolic.Sech(x)` Parameters: x : `float` - The argument. Returns: `float` Hyperbolic cosecant.	Hyperbolic cosecant, i.e. 1/Cosh(x) = 2/(Exp(x)+Exp(-x)). x : `float` The argument. Returns: `float` Hyperbolic cosecant.
`Hyperbolic.Sinh(x)` Full Usage: `Hyperbolic.Sinh(x)` Parameters: x : `float` - The argument. Returns: `float` Hyperbolic sine.	Hyperbolic sine, i.e. (Exp(x)-Exp(-x))/2. x : `float` The argument. Returns: `float` Hyperbolic sine.
`Hyperbolic.SinhAxBxTimesCschX(x, a, b)` Full Usage: `Hyperbolic.SinhAxBxTimesCschX(x, a, b)` Parameters: x : `float` - The argument. a : `float` - The first prefactor. b : `float` - The second prefactor. Returns: `float` The function f(x,a,b) = [Exp(a x)-Exp(b x)]/[Exp(x)-Exp(-x)].	Calculates [Exp(a x)-Exp(b x)]/[Exp(x)-Exp(-x)]. x : `float` The argument. a : `float` The first prefactor. b : `float` The second prefactor. Returns: `float` The function f(x,a,b) = [Exp(a x)-Exp(b x)]/[Exp(x)-Exp(-x)].
`Hyperbolic.Tanh(x)` Full Usage: `Hyperbolic.Tanh(x)` Parameters: x : `float` - The argument. Returns: `float` Hyperbolic tangent.	Hyperbolic tangent, i.e. Sinh(x)/Cosh(x). x : `float` The argument. Returns: `float` Hyperbolic tangent.