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**Exponential growth**is a process that increases quantity over time. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself.RGR is a concept relevant in cases where the increase in a state variable over time is proportional to the value of that state variable at the beginning of a time period. In terms of differential equations, if is the current size, and its

**growth**rate, then relative**growth**rate is . If the relative**growth**rate is constant, i.e., ,A Malthusian

**growth**model, sometimes called a simple**exponential****growth**model, is essentially**exponential****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 Essay on the Principle of Population (1798), one of the earliest and most ...In futures studies and the history of technology, accelerating change is the observed

**exponential**nature of the rate of technological change in recent history, which may suggest faster and more profound change in the future and may or may not be accompanied by equally profound social and cultural change. Contents 1 Early observations**Exponential**may refer to any of several mathematical topics related to exponentiation, including:**Exponential**function, also: Matrix**exponential**, the matrix analogue to the above.**Exponential**decay, decrease at a rate proportional to value.**Exponential**discounting, a specific form of the discount function, used in the analysis of choice over time.Biological

**exponential growth**is the unrestricted**growth**of a population of organisms, occurring when resources in its habitat are unlimited. Most commonly apparent in species that reproduce quickly and asexually, like bacteria,**exponential****growth**is intuitive from the fact that each organism can divide and produce two copies of itself.Constant relative

**growth**rate means simply that the increase per unit time is proportional to the current quantity, i.e. the addition rate per unit amount is constant. It naturally occurs when the existing material generates or is the main determinant of new material.