As a first comprehensive overview on Farey sequences and
subsequences, this monograph is intended as a reference for anyone
looking for specific material or formulas related to the subject.
Duality of subsequences and maps between them are discussed and
explicit proofs are shown in detail. From the Content Basic
structural and enumerative properties of Farey sequences,
Collective decision making, Committee methods in pattern
recognition, Farey duality, Farey sequence, Fundamental Farey
subsequences, Monotone bijections between Farey subsequences
General
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