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  2. Exponential response formula - Wikipedia

    en.wikipedia.org/wiki/Exponential_response_formula

    Complex replacement is used for solving differential equations when the non-homogeneous term is expressed in terms of a sinusoidal function or an exponential function, which can be converted into a complex exponential function differentiation and integration. Such complex exponential function is easier to manipulate than the original function.

  3. Exponential family random graph models - Wikipedia

    en.wikipedia.org/wiki/Exponential_family_random...

    Exponential Random Graph Models (ERGMs) are a family of statistical models for analyzing data from social and other networks. [ 1 ] [ 2 ] Examples of networks examined using ERGM include knowledge networks, [ 3 ] organizational networks, [ 4 ] colleague networks, [ 5 ] social media networks, networks of scientific development, [ 6 ] and others.

  4. Nonlinear regression - Wikipedia

    en.wikipedia.org/wiki/Nonlinear_regression

    In statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination of the model parameters and depends on one or more independent variables. The data are fitted by a method of successive approximations (iterations).

  5. Geometric Brownian motion - Wikipedia

    en.wikipedia.org/wiki/Geometric_Brownian_motion

    Geometric Brownian motion is used to model stock prices in the Black–Scholes model and is the most widely used model of stock price behavior. [4] Some of the arguments for using GBM to model stock prices are: The expected returns of GBM are independent of the value of the process (stock price), which agrees with what we would expect in ...

  6. Mathematical modelling of infectious diseases - Wikipedia

    en.wikipedia.org/wiki/Mathematical_modelling_of...

    Trained as a physician, Bernoulli created a mathematical model to defend the practice of inoculating against smallpox. [2] The calculations from this model showed that universal inoculation against smallpox would increase the life expectancy from 26 years 7 months to 29 years 9 months. [ 3 ]

  7. Exponential sum - Wikipedia

    en.wikipedia.org/wiki/Exponential_sum

    The sum of exponentials is a useful model in pharmacokinetics (chemical kinetics in general) for describing the concentration of a substance over time. The exponential terms correspond to first-order reactions, which in pharmacology corresponds to the number of modelled diffusion compartments. [2] [3]

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