KnowraDirichlet's approximation theoremLinked fromLinked fromThe 8 pages that link to Dirichlet's approximation theorem, each with the reason it gives.All 8Related 6Compared with 2Pigeonhole principleRelated: Its proof partitions fractional parts into intervals and applies the principle to force two close values.Diophantine approximationRelated: It establishes a universal baseline for approximation quality.Hardy–Littlewood circle methodRelated: It supplies the rational centers used to partition the unit circle into arcs.Minkowski's theorem (geometry of numbers)Related: Lattice-point arguments provide a geometric proof of this approximation result.Littlewood conjectureRelated: It supplies the basic one-dimensional approximation principle behind the conjecture.Thue's lemmaRelated: It is a central approximation result proved by elementary geometry-of-numbers methods.