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FermiDiracTransitionBaseCore Method

Returns a value which is 1 for p=0 and is 0 for p=1.

Namespace: Altaxo.Calc.FitFunctions.Transitions
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
Copy
public static double Core(
	double p,
	double pc,
	double w
)

Parameters

p  Double
Argument (between 0 and 1).
pc  Double
Location of the transition (between 0 and 1).
w  Double
Parameter determing the width of the transition.

Return Value

Double
A value between 1 (for p=0) and 0 (for p=1).
Remarks
The original formula was y(p)=1/(1+Exp(b*(p-pc)). This formula has the disadvantage that it is not 1 for p=0 nor 0 for p=1. Thus we use the modified formula core(p)=(y(p)-y(1))/(y(0)-y(1)) with the definition above for y(p). Additionally, instead of b, we use w=1/b, because w is directly related to the width of the transition.
See Also