Diophantine approximation: Difference between revisions

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The badly approximable numbers are precisely those with [[Restricted partial quotients|bounded partial quotients]].<ref name=Bug245>{{harvnb|Bugeaud|2012|p=245}}</ref>
 
Equivalently, a number is badly approximable [[if and only if]] its [[Markov constant]] is finite andor equivalently its simple continued fraction is bounded.
 
== Lower bounds for Diophantine approximations ==