32.1.213 PWL2Hinge

Function

\[y=a+k_1(x - x_0)+s(k_2 - k_1)\text{ln}\left( 1 + e^{(x-x_0)/s} \right)\]

Brief Description

Piecewise linear function with two segments and gentle connection.

Sample Curve

Parameters

Number: 5

Names: a, k1, x0, k2, s

Meanings: a=Intercept,k1=Slope for first segment, x0=X value at intersection, k2=Slope for second segment, s=Sharpness for the bend

Lower Bounds: s>0

Upper Bounds: none

Script Access

nlf_PWL2Hinge(x,a,k1,x0,k2,s)

Function File

PWL2Hinge.fdf

Category

Poly