Editing Generalised logistic function (section)

{{Short description|Mathematical function}}
[[Image:Generalized logistic function A0 K1 B1.5 Q0.5 ν0.5 M0.5.png|thumb|right|A=M=0, K=C=1, B=3, ν=0.5, Q=0.5]]
[[File:GeneralizedLogisticA.svg|thumb|right|Effect of varying parameter A.  All other parameters are 1.]]
[[File:GeneralizedLogisticB.svg|thumb|right|Effect of varying parameter B.  A = 0, all other parameters are 1.]]
[[File:GeneralizedLogisticC.svg|thumb|right|Effect of varying parameter C.  A = 0, all other parameters are 1.]]
[[File:GeneralizedLogisticK.svg|thumb|right|Effect of varying parameter K.  A = 0, all other parameters are 1.]]
[[File:GeneralizedLogisticQ.svg|thumb|right|Effect of varying parameter Q.  A = 0, all other parameters are 1.]]
[[File:GeneralizedLogisticNu.svg|thumb|right|Effect of varying parameter <math>\nu</math>.  A = 0, all other parameters are 1.]]
The '''generalized logistic function''' or '''curve''' is an extension of the [[logistic function|logistic]] or [[sigmoid function|sigmoid]] functions. Originally developed for growth modelling, it allows for more flexible S-shaped curves. The function is sometimes named '''Richards's curve''' after [[Francis John Richards|F.{{nbsp}}J.{{nbsp}}Richards]], who proposed the general form for the family of models in 1959.