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Learn about different theories of how desirable change in society is best achieved, such as modernization, linear stages, structuralism, dependency and world-systems. Compare their assumptions, explanations and critiques.
Learn about the historical model of economic modernization developed by W. W. Rostow, which postulates five stages of development from traditional society to high mass consumption. Find out the conditions, trends and examples of each stage, as well as the theoretical framework and criticisms of the model.
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation , where is the carrying capacity, the logistic growth rate, and is the value of the function. Learn about the history, applications, symmetries, inverse, derivative, integral, and differential equation of the logistic function.
A Malthusian growth model is a mathematical formula that describes exponential population growth based on the idea of the function being proportional to the speed to which the function grows. The model is named after Thomas Robert Malthus, who wrote an influential essay on population dynamics in 1798.
The logistic map is a simple nonlinear equation that describes the growth and decay of a population. It exhibits various behaviors, such as periodic oscillations, chaos, and sensitivity to initial conditions, as the parameter r varies.
A linear model is a statistical model that assumes linearity in the system, either in the regression coefficients or in the time series structure. Learn how linear models are used in different fields of statistics and how they differ from nonlinear models.
Exponential growth is a process that increases quantity over time at an ever-increasing rate. It occurs when the rate of change is proportional to the quantity itself. See examples, formula, and applications in biology, physics, economics, finance, and computer science.
Linear programming is a method to optimize a linear objective function subject to linear constraints. It is widely used in various fields such as mathematics, economics, and engineering. Learn its history, formulation, algorithms, and applications.