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Adding local short description: "Any real number has a sequence of good rational approximations", overriding Wikidata description "theorem" (Shortdesc helper) |
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{{short description|Any real number has a sequence of good rational approximations}}
In [[number theory]], '''Dirichlet's theorem on Diophantine approximation''', also called '''Dirichlet's approximation theorem''', states that for any [[real numbers]] <math> \alpha </math> and <math> N </math>, with <math> 1 \leq N </math>, there exist integers <math> p </math> and <math> q </math> such that <math> 1 \leq q \leq N </math> and
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