Growth

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Wheat and chessboard problem

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System, Cycle, Structure, Complexity, Growth, Control, Disturbance, Entropy, Chaos

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growth : progressive development — Webster

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Encyclopedia

Growth refers to an increase in some quantity over time. The quantity can be:

Physical (e.g., growth in height, growth in an amount of money)
Abstract (e.g., a system becoming more complex, an organism becoming more mature).

It can also refer to the mode of growth, i.e. numeric models for describing how much a particular quantity grows over time. — Wikipedia

Internet Encyclopedia of Science (David Darling), Britannica

System






The Principle of Autocatalytic Growth (Principia Cybernetica)
L-System (Wikipedia)
Algorithmic Botany (Przemyslaw Prusinkiewicz)

Theory

Exponential growth is exhibited when the rate of change—the change per instant or unit of time—of the value of a mathematical function is proportional to the function’s current value, resulting in its value at any time being an exponential function of time, i.e., a function in which the time value is the exponent. Exponential decay occurs in the same way when the growth rate is negative. In the case of a discrete domain of definition with equal intervals, it is also called geometric growth or geometric decay, the function values forming a geometric progression. In either exponential growth or exponential decay, the ratio of the rate of change of the quantity to its current size remains constant over time. — Wikipedia









Exponential Growth and Decay (Math is Fun)

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