Abstract
THE FUNCTION f(x) = 2x is a rule that assigns to each number x a number twice as large. This is a simple mathematical model. We might imagine that x denotes the population of bacteria in a laboratory culture and that f(x) denotes the population one hour later. Then the rule expresses the fact that the population doubles every hour. If the culture has an initial population of 10,000 bacteria, then after one hour there will be f(10,000) = 20,000 bacteria, after two hours there will be f(f(l0,000)) = 40,000 bacteria, and so on.
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© 1997 Springer Science+Business Media New York
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Alligood, K.T., Sauer, T.D., Yorke, J.A. (1997). One-Dimensional Maps. In: Chaos. Textbooks in Mathematical Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59281-2_1
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DOI: https://doi.org/10.1007/978-3-642-59281-2_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78036-6
Online ISBN: 978-3-642-59281-2
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