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growth : progressive development — Webster
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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
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The Principle of Autocatalytic Growth (Principia Cybernetica)
LSystem (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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