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Showing 1 to 1 of 1 for “"Steinhaus Theorem"”.
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Beatty ratios, algorithms related to Sturmian sequences and uniform distribution theory
… case of an Beatty sequence. The proofs of these theorems use Diophantine approximation, continued fractions and various number theoretic and combinatorial arguments. The third portion of this thesis deals with a topic related to a theorem that begun as a conjecture of Steinhaus. This well known …