Revision as of 20:59, 7 October 2014 edit Sandrobt (talk \| contribs) 300 edits →Method of proof: fix ← Previous edit		Revision as of 18:06, 15 December 2014 edit undo Nxavar (talk \| contribs) Extended confirmed users 3,584 edits m ce Next edit →
Line 3: :<math> \left \| q \alpha -p \right \| \le \frac{1}{N+1} </math> This is a ~~foundational~~fundamental result in [[Diophantine approximation]], showing that any real number has a sequence of good rational approximations: in fact an immediate consequence is that for a given irrational α, the inequality :<math> \left \| \alpha -\frac{p}{q} \right \| < \frac{1}{q^2} </math>

Dirichlet's approximation theorem: Difference between revisions