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Exponential growth

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.

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Ray Kurzweil explains how there is an exponential growth in not only computing, but also DNA sequencing, information on the brain, nanotechnology, and artificial intelligence. He also uses this predictable growth to invent technologies as the future progresses.

Contributed by Justin Constantino

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