logistic curve

English

$f(x)={\frac {1}{1+e^{-x}}}={\frac {e^{x}}{1+e^{x}}}$

Etymology

Calque of French courbe logistique, coined by Belgian mathematician Pierre François Verhulst in 1845. Verhulst did not explain his choice of the name logistique; see discussion at logistic.

Noun

logistic curve (plural logistic curves)

1. (mathematics, biology) An S-shaped curve that models the growth of many ecosystems.

   Synonym: S-curve

Related terms

• logistic function

Translations

S-shaped curve that models the growth of many ecosystems

• Czech: logistická křivka f
• French: courbe logistique f
• German: logistische Kurve f