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<p>are the same. This assumption--that it is as good to simulate a system for long as it is to make many independent realizations of the same system--is not always correct. (See, for example, the <a href="page.php?w=Fermi-Pasta-Ulam-Tsingou_problem">Fermi-Pasta-Ulam-Tsingou experiment</a> of 1953.)</p>

<p>Assumption of the ergodic hypothesis allows proof that certain types of perpetual motion machines of the <a href="page.php?w=Perpetual_motion">second kind</a> are impossible.</p>

<p>Systems that are ergodic are said to have the property of <a href="page.php?w=ergodicity">ergodicity</a>;</p><p>
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