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.[1] Verhulst did not explain his choice of the name logistique; see discussion at logistic.

Noun

logistic curve (plural logistic curves)

(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

References

Verhulst, Pierre-François (1845) “Recherches mathématiques sur la loi d'accroissement de la population [Mathematical Researches into the Law of Population Growth Increase]”, in Nouveaux Mémoires de l'Académie royale des sciences, des lettres et des beaux-arts de Belgique‎, volume 18, archived from the original on 8 March 2016, pages 1-38

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