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Bounded growth

Bounded growth, also called asymptotic growth,[1] occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate. Asymptotically, bounded growth approaches a fixed value. This contrasts with exponential growth, which is constantly increasing at an accelerating rate, and therefore approaches infinity in the limit.

Examples of bounded growth include the logistic function, the Gompertz function, and a simple modified exponential function like y = a + begx.[1]

See also edit

References edit

  1. ^ a b Gilchrist, Warren (1984). Statistical Modelling. Chichester, UK: John Wiley & Sons. p. 70(a); 71(b).

Sources edit

  • Kuhn, Moscibroda, and Wattenhofer, "On the Locality of Bounded Growth", ACM Symposium on Principles of Distributed Computing (PODC), July 17–20, 2005.
  • Gilchrist, Warren, "Statistical Modelling", John Wiley & Sons, Chichester, UK, 1984.


bounded, growth, also, called, asymptotic, growth, occurs, when, growth, rate, mathematical, function, constantly, increasing, decreasing, rate, asymptotically, bounded, growth, approaches, fixed, value, this, contrasts, with, exponential, growth, which, const. Bounded growth also called asymptotic growth 1 occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate Asymptotically bounded growth approaches a fixed value This contrasts with exponential growth which is constantly increasing at an accelerating rate and therefore approaches infinity in the limit Examples of bounded growth include the logistic function the Gompertz function and a simple modified exponential function like y a begx 1 See also editExponential growth Gompertz function Logistic functionReferences edit a b Gilchrist Warren 1984 Statistical Modelling Chichester UK John Wiley amp Sons p 70 a 71 b Sources edit Kuhn Moscibroda and Wattenhofer On the Locality of Bounded Growth ACM Symposium on Principles of Distributed Computing PODC July 17 20 2005 Gilchrist Warren Statistical Modelling John Wiley amp Sons Chichester UK 1984 nbsp This mathematical analysis related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Bounded growth amp oldid 1186755996, wikipedia, wiki, book, books, library,

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