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== Taylor's diffusion theorem ==
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<div class="definition"><div class="short_definition">The theorem of G. I. Taylor in the [[statistical]] theory of [[atmospheric turbulence|atmospheric  turbulence]]:  <div class="display-formula"><blockquote>[[File:ams2001glos-Te6.gif|link=|center|ams2001glos-Te6]]</blockquote></div> where ''x'' is the distance traveled by a [[particle]] in the time interval ''T'', ''u'' is the [[fluctuation]] or [[eddy velocity|eddy  velocity]] of the particle, and ''R''(&#x003be;) is the [[Lagrangian correlation]] coefficient between the particle's  [[velocity]] at time ''t'' and ''t + s''.</div><br/> </div>
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