Abstract

AbstractThe Farey tree is a binary tree containing all rational numbers from [0, 1] in ordered way. It is constructed hierarchically, level by level, using the Farey mediant sum. Some extreme properties of the Farey sum tree, i.e., the set of points {p+q} associated with Farey tree in the way that rationals {p/q} belong to k-th level of the Farey tree are investigated.KeywordsBinary TreeConsecutive PairDual SequenceHarmonic SequenceArnold TongueThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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