Template:AotD
Rational approximation of famous numbers
Rational approximation is the application of Dirichlet's theorem which shows that, for each irrational number
, the inequality
has infinitely many solutions. On the other hand, sometimes it is useful to know that
cannot be approximated by rationals too well, or, more precisely, that
, the inequality [more]
, the inequality 
has infinitely many solutions. On the other hand, sometimes it is useful to know that 
cannot be approximated by rationals too well, or, more precisely, that 
, the inequality 
