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phase, the number of new cells appearing is proportional to the population. This terminological confusion between logarithmic growth and exponential growth may be explained by the fact that exponential growth curves may be straightened by plotting them using a
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roulette system, where the potential winnings before bankruptcy grow as the logarithm of the gambler's bankroll. It also plays a role in the
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is the base of the number system used, e.g. 10 for decimal arithmetic. In more advanced mathematics, the
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161:{\displaystyle 1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{5}}+\cdots }
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describes a phenomenon whose size or cost can be described as a
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Logarithmic growth can lead to apparent paradoxes, as in the
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Mathematical
Mysteries: The Beauty and Magic of Numbers
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A familiar example of logarithmic growth is a number,
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is sometimes called logarithmic growth. During this
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171:grow logarithmically. In the design of computer
16:Growth at a rate that is a logarithmic function
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304:Salomon, David; Motta, G.; Bryant, D. (2007),
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307:Data Compression: The Complete Reference
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385:Friedman, Craig; Sandow, Sven (2010),
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418:More Fallacies, Flaws & Flimflam
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388:Utility-Based Learning from Data
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183:analysis of algorithms such as
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39:function of some input. e.g.
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331:Clawson, Calvin C. (1999),
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361:Understanding Probability
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277:Szecsei, Denise (2006),
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218:for the growth axis.
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358:Tijms, Henk (2012),
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64:positional notation
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