Exponential growth occurs when a quantity grows as an exponential function of time. The quantity grows at a rate directly proportional to its present...
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of growth of various functions. The inverse of the double exponential function is the double logarithm log(log(x)). The complex double exponential function...
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Biological exponential growth is the unrestricted growth of a population of organisms, occurring when resources in its habitat are unlimited. Most commonly...
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grow exponentially, rather they follow a logistic model. Once the population has reached its carrying capacity, it will stabilize and the exponential curve...
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average, the bacterial population undergoes exponential growth. The measurement of an exponential bacterial growth curve in batch culture was traditionally...
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The Singularity Is Near (section Exponential growth)
transistors became popular and continued the overall exponential growth. Kurzweil calls this exponential growth the law of accelerating returns, and he believes...
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A Malthusian growth model, sometimes called a simple exponential growth model, is essentially exponential growth based on the idea of the function being...
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Tetration (redirect from Super-exponential growth)
are not as many notations for iterated exponentials, but here are a few: Because of the extremely fast growth of tetration, most values in the following...
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approximately equal to 2.71828 that is the base of the natural logarithm and exponential function. It is sometimes called Euler's number, after the Swiss mathematician...
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{\displaystyle a>1} we say that G has an exponential growth rate. Every finitely generated G has at most exponential growth, i.e. for some b > 1 {\displaystyle...
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fixed constant. Logarithmic growth is the inverse of exponential growth and is very slow. A familiar example of logarithmic growth is a number, N, in positional...
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Logistic function (redirect from Logistic growth curve)
Belgian population growth. The initial stage of growth is approximately exponential (geometric); then, as saturation begins, the growth slows to linear (arithmetic)...
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Technological singularity (section Exponential growth)
training systems with deep learning may be larger.[citation needed] The exponential growth in computing technology suggested by Moore's law is commonly cited...
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formula Exponential function Exponential generating function Exponential-Golomb coding Exponential growth Exponential hierarchy Exponential integral...
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A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by...
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rather than a specific time delay value. The name exponential backoff refers to the exponential growth characteristic of the backoff, rather than an exact...
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Factorial (redirect from Factorial growth)
factorial of large numbers, showing that it grows more quickly than exponential growth. Legendre's formula describes the exponents of the prime numbers in...
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Exponential constant may refer to: e (mathematical constant) The growth or decay constant in exponential growth or exponential decay, respectively. This...
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value Exponential discounting, a specific form of the discount function, used in the analysis of choice over time Exponential growth, where the growth rate...
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solution for the exponential growth rate resulting from the combination of fibril growth and fibril breakage has been found. The exponential growth rate depends...
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mean Average annual return Continuous compounding Geometric mean Exponential growth Internal Rate of Return Mark J. P. Anson; bdgdgdhd J. Fabozzi; Frank...
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size at that moment in time. It is also called the exponential growth rate, or the continuous growth rate. RGR is a concept relevant in cases where the...
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Half-life (category Temporal exponentials)
other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time. The original term, half-life period, dating to...
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(US CDC) Some growth curves for certain biological systems display periods of exponential growth. Typically, periods of exponential growth are of limited...
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the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. The exponential of a...
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The Limits to Growth (LTG) is a 1972 report that discussed the possibility of exponential economic and population growth with finite supply of resources...
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principle leads to an exponential increase of tissue growth rate (mass accumulation) during cell proliferation, owing to the exponential increase in cell number...
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classification of civilizations into three types, based on the axiom of exponential growth: A Type I civilization is able to access all the energy available...
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machines that build paperclips automatically. At various levels the exponential growth plateaus, requiring the user to invest resources such as money, raw...
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Doubling time (category Temporal exponentials)
over time. When the relative growth rate (not the absolute growth rate) is constant, the quantity undergoes exponential growth and has a constant doubling...
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