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  2. Exponential growth - Wikipedia

    en.wikipedia.org/wiki/Exponential_growth

    For any fixed b not equal to 1 (e.g. e or 2), the growth rate is given by the non-zero time τ. For any non-zero time τ the growth rate is given by the dimensionless positive number b. Thus the law of exponential growth can be written in different but mathematically equivalent forms, by using a different base.

  3. Malthusian growth model - Wikipedia

    en.wikipedia.org/wiki/Malthusian_growth_model

    r = the population growth rate, which Ronald Fisher called the Malthusian parameter of population growth in The Genetical Theory of Natural Selection, [2] and Alfred J. Lotka called the intrinsic rate of increase, [3] [4] t = time. The model can also be written in the form of a differential equation: =

  4. Relative growth rate - Wikipedia

    en.wikipedia.org/wiki/Relative_growth_rate

    Relative growth rate (RGR) ... In terms of differential equations, if is the current ... The hourly growth factor is 8, which means that for every 1 at the beginning ...

  5. Gompertz function - Wikipedia

    en.wikipedia.org/wiki/Gompertz_function

    The function also adheres to the sigmoid function, which is the most widely accepted convention of generally detailing a population's growth. Moreover, the function makes use of initial growth rate, which is commonly seen in populations of bacterial and cancer cells, which undergo the log phase and grow rapidly in numbers. Despite its ...

  6. Compound annual growth rate - Wikipedia

    en.wikipedia.org/wiki/Compound_annual_growth_rate

    Compound annual growth rate (CAGR) is a business, economics and investing term representing the mean annualized growth rate for compounding values over a given time period. [1] [2] CAGR smoothes the effect of volatility of periodic values that can render arithmetic means less meaningful. It is particularly useful to compare growth rates of ...

  7. 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.

  8. Dividend discount model - Wikipedia

    en.wikipedia.org/wiki/Dividend_discount_model

    a) When the growth g is zero, the dividend is capitalized. =. b) This equation is also used to estimate the cost of capital by solving for . = +. c) which is equivalent to the formula of the Gordon Growth Model (or Yield-plus-growth Model):

  9. Monod equation - Wikipedia

    en.wikipedia.org/wiki/Monod_equation

    The Monod equation is a mathematical model for the growth of microorganisms. It is named for Jacques Monod (1910–1976, a French biochemist, Nobel Prize in Physiology or Medicine in 1965), who proposed using an equation of this form to relate microbial growth rates in an aqueous environment to the concentration of a limiting nutrient.