Abstract
The 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.
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Kocić, L., Stefanovska, L. (2005). A Property of Farey Tree. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_41
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DOI: https://doi.org/10.1007/978-3-540-31852-1_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24937-5
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