This sequence can be shown to have asymptotic behaviour as follows:
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:: Another approach is to consider asymptotic behaviour.
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It frequently occurs in the study of the asymptotic behaviour of the Riemann zeta function.
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In some cases it may be possible to find asymptotic behaviour for the summation function for large " x ".
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The associated eigenvalues \ lambda _ 0 = 0 are unbounded and their asymptotic behaviour is ruled by Weyl's law.
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Modes of the same angular degree \ ell form roughly vertical lines at high frequencies, as expected from the asymptotic behaviour of the mode frequencies.
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This sequence acquired its name because John Horton Conway offered a prize of $ 10, 000 to anyone who could demonstrate a particular result about its asymptotic behaviour.
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The asymptotic behaviour is very good : generally, the iterates " x " " n " converge fast to the root once they get close.
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If these behaviours have been chosen according to the maximum expected utility principle, then the asymptotic behaviour of the Bayesian control rule matches the asymptotic behaviour of the perfectly rational agent.
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If these behaviours have been chosen according to the maximum expected utility principle, then the asymptotic behaviour of the Bayesian control rule matches the asymptotic behaviour of the perfectly rational agent.
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