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Line 16: == Best Diophantine approximations of a real number == {{main\|~~Continued~~Simple continued fraction#Best rational approximations\|Irrationality measure}} Given a real number {{math\|''α''}}, there are two ways to define a best Diophantine approximation of {{math\|''α''}}. For the first definition,<ref name="Khinchin 1997 p.21">{{harvnb\|Khinchin\|1997\|p=21}}</ref> the rational number {{math\|''p''/''q''}} is a ''best Diophantine approximation'' of {{math\|''α''}} if

Diophantine approximation: Difference between revisions