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logistic curve

From Wiktionary, the free dictionary

English

EnglishWikipedia has an article on:

logistic function

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

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

Etymology

Calque ofFrenchcourbe logistique,coined by Belgian mathematicianPierre François Verhulst in 1845.^[1] Verhulst did not explain his choice of the namelogistique; see discussion atlogistic.

Noun

logistic curve (plurallogistic curves)

(mathematics, biology) An S-shaped curve thatmodels thegrowth of manyecosystems.
Synonym:S-curve

Related terms

logistic function

Translations

S-shaped curve that models the growth of many ecosystems

References

^Verhulst, Pierre-François (1845) “Recherches mathématiques sur la loi d'accroissement de la population[Mathematical Researches into the Law of Population Growth Increase]”, inNouveaux Mémoires de l'Académie royale des sciences, des lettres et des beaux-arts de Belgique‎^[1], volume18, archived fromthe original on8 March 2016, pages1-38

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