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A mathematical problem of calculating the number of grains of wheat on a chessboard if each square has twice as many grains as the previous one. Learn about its origins, solutions, and applications in exponential growth, compound interest, and technology strategy.
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.
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 rule of 69.3 is a method for estimating how long it takes for an investment to double in value at a given interest rate. It is more accurate than the rule of 72 for continuous compounding, and can also be used for decay and inflation calculations.
e is a transcendental number that is the base of the natural logarithm function and the limit of compound interest. Learn about its history, definitions, properties, applications, and representations from this comprehensive Wikipedia article.
The Leslie matrix is a discrete, age-structured model of population growth that is widely used in population ecology. It describes the changes in a population over time based on vital rates such as survival and fecundity, and has a stable age distribution and growth rate.
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