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  2. Logistic function - Wikipedia

    en.wikipedia.org/wiki/Logistic_function

    The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.

  3. Logistic map - Wikipedia

    en.wikipedia.org/wiki/Logistic_map

    A cobweb diagram of the logistic map, showing chaotic behaviour for most values of r > 3.57 Logistic function f (blue) and its iterated versions f 2, f 3, f 4 and f 5 for r = 3.5. For example, for any initial value on the horizontal axis, f 4 gives the value of the iterate four iterations later.

  4. Logistic distribution - Wikipedia

    en.wikipedia.org/wiki/Logistic_distribution

    The logistic distribution—and the S-shaped pattern of its cumulative distribution function (the logistic function) and quantile function (the logit function)—have been extensively used in many different areas.

  5. Competitive Lotka–Volterra equations - Wikipedia

    en.wikipedia.org/wiki/Competitive_Lotka...

    This model can be generalized to any number of species competing against each other. One can think of the populations and growth rates as vectors, α 's as a matrix.Then the equation for any species i becomes = (=) or, if the carrying capacity is pulled into the interaction matrix (this doesn't actually change the equations, only how the interaction matrix is defined), = (=) where N is the ...

  6. Wikipedia:Modelling Wikipedia's growth - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Modelling...

    The graphs also show the approximate rate of article increase per day, along with the projected number of articles based on annual doubling referenced to January 1, 2003. The growth in articles had been approximately 100% per year from 2003 through most of 2006, but has tailed off since roughly September 2006.

  7. Logistic regression - Wikipedia

    en.wikipedia.org/wiki/Logistic_regression

    Logistic regression is used in various fields, including machine learning, most medical fields, and social sciences. For example, the Trauma and Injury Severity Score (), which is widely used to predict mortality in injured patients, was originally developed by Boyd et al. using logistic regression. [6]

  8. Biological exponential growth - Wikipedia

    en.wikipedia.org/wiki/Biological_exponential_growth

    As resources become more limited, the growth rate tapers off, and eventually, once growth rates are at the carrying capacity of the environment, the population size will taper off. [6] This S-shaped curve observed in logistic growth is a more accurate model than exponential growth for observing real-life population growth of organisms. [8]

  9. Gompertz function - Wikipedia

    en.wikipedia.org/wiki/Gompertz_function

    F(X) is the instantaneous proliferation rate of the cellular population, whose decreasing nature is due to the competition for the nutrients due to the increase of the cellular population, similarly to the logistic growth rate. However, there is a fundamental difference: in the logistic case the proliferation rate for small cellular population ...